% From cs.cornell.edu!cv Fri Oct 5 10:00:53 PDT 1990 % % Bibliography of the book "Matrix Computations", 2nd Edn., % by Gene H. Golub & Charles F. Van Loan, % The Joh ns Hopkins University Press, Baltimore, Maryland 21218, 1989. % The original bibliography prepared by Charles Van Loan % (Computer Science, Cornell University, Ithaca, NY 14583) % was corrected, edited and put in Bibtex format (September 1990) % by Chris Paige and Clement Pellerin % (Computer Science, McGill University, Montreal, PQ, Canada H3A 2A7). % email any corrections to Charlie Van Loan at cv'AT SIGN'cs.cornell.edu % % This is the BibTeX file, store it as, for example, gvl.bib % % USE: suppose you want the first reference only to appear, without % citing it. Store in a file called say egcite.tex (without the %s): % % \documentstyle[art12,fullpage]{article} % \begin{document} % \nocite{Aas71} % \bibliographystyle{unsrt} % \bibliography{gvl} % \end{document} % % Then run % latex egcite % bibtex egcite % latex egcite % latex egcite % and use the resulting egcite.dvi to give the required output. % Using \nocite{*} should give you all entries, but you may have to % \nocite half of them, then the rest, to do this. % % Some entries have a \cite in the Note field because they appear % both in a journal and in a book, Calling % latex; bibtex; latex; latex % fails if you cite one of these entries. % If this happens you should either call: % latex; bibtex; latex; bibtex; latex; latex % or else you should \nocite{WilR71} at the beginning of your document % but don't use \bibliographystyle{unsrt} because WilR71 will come first % Journals % First the Full Name is given, then the abbreviation used in the AMS Math % Reviews, with an indication if it could not be found there. % Note the 2nd overwrites the 1st, so swap them if you want the full name. %{AMS} @String{AMSTrans = "American Mathematical Society Translations" } @String{AMSTrans = "Amer. Math. Soc. Transl." } @String{BullAMS = "Bulletin of the American Mathematical Society" } @String{BullAMS = "Bull. Amer. Math. Soc." } @String{ProcAMS = "Proceedings of the American Mathematical Society" } @String{ProcAMS = "Proc. Amer. Math. Soc." } @String{TransAMS = "Transactions of the American Mathematical Society" } @String{TransAMS = "Trans. Amer. Math. Soc." } %ACM @String{CACM = "Communications of the {ACM}" } @String{CACM = "Comm. {ACM}" } @String{CompServ = "{ACM} Computing Surveys" } @String{CompServ = "Comput. Surveys" } @String{JACM = "Journal of the {ACM}" } @String{JACM = "J. Assoc. Comput. Mach." } @String{ACMMathSoft = "{ACM} Transactions on Mathematical Software" } @String{ACMMathSoft = "{ACM} Trans. Math. Software" } @String{SIGNUM = "{ACM} {SIGNUM} Newsletter" } @String{SIGNUM = "{ACM} {SIGNUM} Newslett." } @String{AmerSocio = "American Journal of Sociology" } @String{AmerSocio = "Amer. J. Sociology" } % didn't find in AMS MR @String{AmerStatAssoc = "Journal of the American Statistical Association" } @String{AmerStatAssoc = "J. Amer. Statist. Assoc." } @String{ApplMathComp = "Applied Mathematics and Computation" } @String{ApplMathComp = "Appl. Math. Comput." } @String{AmerMathMonthly = "American Mathematical Monthly" } @String{AmerMathMonthly = "Amer. Math. Monthly" } @String{BIT = "{BIT}" } @String{BIT = "{BIT}" } @String{BritStatPsych = "British Journal of Mathematical and Statistical Psychology" } @String{BritStatPsych = "Brit. J. Math. Statist. Psych." } @String{CanMathBull = "Canadian Mathematical Bulletin" } @String{CanMathBull = "Canad. Math. Bull." } @String{CompApplMath = "Journal of Computational and Applied Mathematics" } @String{CompApplMath = "J. Comput. Appl. Math." } @String{CompPhys = "Journal of Computational Physics" } @String{CompPhys = "J. Comput. Phys." } @String{CompStruct = "Computers and Structures" } @String{CompStruct = "Comput. \& Structures" } @String{CompJour = "The Computer Journal" } @String{CompJour = "Comput. J." } @String{CompSysSci = "Journal of Computer and System Sciences" } @String{CompSysSci = "J. Comput. System Sci." } @String{Computing = "Computing" } @String{Computing = "Computing" } @String{ContempMath = "Contemporary Mathematics" } @String{ContempMath = "Contemp. Math." } @String{Crelle = "Crelle's Journal" } @String{Crelle = "Crelle's J." } % didn't find in AMS MR. %% When will they get up to date? @String{GiornaleMath = "Giornale di Mathematiche" } @String{GiornaleMath = "Giorn. Mat." } % didn't find in AMS MR., ibid. %IEEE @String{Computer = "{IEEE} Computer" } @String{Computer = "{IEEE} Computer" } @String{IEEETransComp = "{IEEE} Transactions on Computers" } @String{IEEETransComp = "{IEEE} Trans. Comput." } @String{IEEETransAC = "{IEEE} Transactions on Automatic Control" } @String{IEEETransAC = "{IEEE} Trans. Automat. Control" } @String{IEEESpec = "{IEEE} Spectrum" } @String{IEEESpec = "{IEEE} Spectrum" } % didn't find in AMS MR @String{ProcIEEE = "Proceedings of the {IEEE}" } @String{ProcIEEE = "Proc. {IEEE}" } % didn't find in AMS MR @String{IEEETransAeroElec = "{IEEE} Transactions on Aerospace and Electronic Systems" } @String{IEEETransAeroElec = "{IEEE} Trans. Aerospace Electron. Systems" } @String{IMANumerAna = "{IMA} Journal of Numerical Analysis" } @String{IMANumerAna = "{IMA} J. Numer. Anal." } @String{InfProcLet = "Information Processing Letters" } @String{InfProcLet = "Inform. Process. Lett." } @String{InstMathApp = "Journal of the Institute of Mathematics and its Applications" } @String{InstMathApp = "J. Inst. Math. Appl." } @String{IntControl = "International Journal of Control" } @String{IntControl = "Internat. J. Control" } @String{IntNumerEng = "International Journal for Numerical Methods in Engineering" } @String{IntNumerEng = "Internat. J. Numer. Methods Engrg." } @String{IntSuper = "International Journal of Supercomputing Applications" } @String{IntSuper = "Internat. J. Supercomputing Applic." } % didn't find %% in AMS MR @String{Kibernetika = "Kibernetika" } @String{Kibernetika = "Kibernetika" } @String{JResNatBurStand = "Journal of Research of the National Bureau of Standards" } @String{JResNatBurStand = "J. Res. Nat. Bur. Standards" } @String{LinAlgApp = "Linear Algebra and its Applications" } @String{LinAlgApp = "Linear Algebra Appl." } @String{MathAnaAppl = "Journal of Mathematical Analysis and Applications" } @String{MathAnaAppl = "J. Math. Anal. Appl." } @String{MathAnnalen = "Mathematische Annalen" } @String{MathAnnalen = "Math. Ann." } @String{MathPhys = "Journal of Mathematical Physics" } @String{MathPhys = "J. Math. Phys." } @String{MathComp = "Mathematics of Computation" } @String{MathComp = "Math. Comp." } @String{MathScand = "Mathematica Scandinavica" } @String{MathScand = "Math. Scand." } @String{TablesAidsComp = "Mathematical Tables and Other Aids to Computation" } @String{TablesAidsComp = "Math. Tables Aids Comput." } @String{NumerMath = "Numerische Mathematik" } @String{NumerMath = "Numer. Math." } @String{PacificMath = "Pacific Journal of Mathematics" } @String{PacificMath = "Pacific J. Math." } @String{ParDistComp = "Journal of Parallel and Distributed Computing" } @String{ParDistComp = "J. Parallel and Distrib. Comput." } % didn't find %% in AMS MR @String{ParComputing = "Parallel Computing" } @String{ParComputing = "Parallel Comput." } @String{PhilMag = "Philosophical Magazine" } @String{PhilMag = "Philos. Mag." } @String{ProcNAS = "Proceedings of the National Academy of Sciences of the USA" } @String{ProcNAS = "Proc. Nat. Acad. Sci. U.S.A." } @String{Psychometrika = "Psychometrika" } @String{Psychometrika = "Psychometrika" } @String{QuartMath = "Quarterly Journal of Mathematics, Oxford, Series (2)" } @String{QuartMath = "Quart. J. Math. Oxford Ser. (2)" } @String{QuartApplMath = "Quarterly of Applied Mathematics" } @String{QuartApplMath = "Quart. Appl. Math." } @String{RevueInstStat = "Review of the International Statisical Institute" } @String{RevueInstStat = "Rev. Inst. Internat. Statist." } %SIAM @String{JSIAM = "Journal of the Society for Industrial and Applied Mathematics" } @String{JSIAM = "J. Soc. Indust. Appl. Math." } @String{JSIAMB = "Journal of the Society for Industrial and Applied Mathematics, Series B, Numerical Analysis" } @String{JSIAMB = "J. Soc. Indust. Appl. Math. Ser. B Numer. Anal." } @String{SIAMAlgMeth = "{SIAM} Journal on Algebraic and Discrete Methods" } @String{SIAMAlgMeth = "{SIAM} J. Algebraic Discrete Methods" } @String{SIAMAppMath = "{SIAM} Journal on Applied Mathematics" } @String{SIAMAppMath = "{SIAM} J. Appl. Math." } @String{SIAMComp = "{SIAM} Journal on Computing" } @String{SIAMComp = "{SIAM} J. Comput." } @String{SIAMMatrix = "{SIAM} Journal on Matrix Analysis and Applications" } @String{SIAMMatrix = "{SIAM} J. Matrix Anal. Appl." } @String{SIAMNumAnal = "{SIAM} Journal on Numerical Analysis" } @String{SIAMNumAnal = "{SIAM} J. Numer. Anal." } @String{SIAMReview = "{SIAM} Review" } @String{SIAMReview = "{SIAM} Rev." } @String{SIAMSciStat = "{SIAM} Journal on Scientific and Statistical Computing" } @String{SIAMSciStat = "{SIAM} J. Sci. Statist. Comput." } @String{SoftPracExp = "Software Practice and Experience" } @String{SoftPracExp = "Software Prac. Experience" } % didn't find in AMS MR @String{StatScience = "Statistical Science" } @String{StatScience = "Statist. Sci." } @String{Techno = "Technometrics" } @String{Techno = "Technometrics" } @String{USSRCompMathPhys = "{USSR} Computational Mathematics and Mathematical Physics" } @String{USSRCompMathPhys = "{U.S.S.R.} Comput. Math. and Math. Phys." } @String{VLSICompSys = "Journal of {VLSI} and Computer Systems" } @String{VLSICompSys = "J. {VLSI} Comput. Syst." } @String{ZAngewMathMech = "Zeitschrift fur Angewandte Mathematik und Mechanik" } @String{ZAngewMathMech = "Z. Angew. Math. Mech." } @String{ZAngewMathPhys = "Zeitschrift fur Angewandte Mathematik und Physik" } @String{ZAngewMathPhys = "Z. Angew. Math. Phys." } % Publishers @String{Academic = "Academic Press" } @String{ACMPress = "{ACM} Press" } @String{AdamHilger = "Adam Hilger" } @String{AddisonWesley = "Addison-Wesley" } @String{AllynBacon = "Allyn and Bacon" } @String{AMS = "American Mathematical Society" } @String{Birkhauser = "Birkha{\"u}ser" } @String{CambridgePress = "Cambridge University Press" } @String{Chelsea = "Chelsea" } @String{ClaredonPress = "Claredon Press" } @String{DoverPub = "Dover Publications" } @String{Eyolles = "Eyolles" } @String{HoltRinehartWinston = "Holt, Rinehart and Winston" } @String{Interscience = "Interscience" } @String{JohnsHopkinsPress = "The Johns Hopkins University Press" } @String{JohnWileySons = "John Wiley and Sons" } @String{Macmillan = "Macmillan" } @String{MathWorks = "The Math Works Inc." } @String{McGrawHill = "McGraw-Hill" } @String{NatBurStd = "National Bureau of Standards" } @String{NorthHolland = "North-Holland" } @String{OxfordPress = "Oxford University Press" } %address Oxford or London? @String{PergamonPress = "Pergamon Press" } @String{PlenumPress = "Plenum Press" } @String{PrenticeHall = "Prentice-Hall" } @String{SIAMPub = "{SIAM} Publications" } @String{Springer = "Springer-Verlag" } @String{TexasPress = "University of Texas Press" } @String{VanNostrand = "Van Nostrand" } @String{WHFreeman = "W.H. Freeman and Co." } %Entries @Article{ Aas71, Author = "J.O. Aasen", Year = 1971, Title = "On the Reduction of a Symmetric Matrix to Tridiagonal Form", Journal = BIT, Volume = 11, Pages = "233--242" } @Article{ Abd71, Author = "N.N. Abdelmalek", Year = 1971, Title = "Roundoff Error Analysis for {G}ram-{S}chmidt Method and Solution of Linear Least Squares Problems", Journal = BIT, Volume = 11, Pages = "1345--1368" } @Article{ Ada85, Author = "L. Adams", Year = 1985, Title = "{m}-step Preconditioned Conjugate Gradient Methods", Journal = SIAMSciStat, Volume = 6, Pages = "452--463" } @Article{ AdaC84, Author = "L. Adams and T. Crockett", Year = 1984, Title = "Modelling Algorithm Execution Time on Processor Arrays", Journal = Computer, Volume = 17, Pages = "38--43" } @Article{ AlePP88, Author = "S.T. Alexander and C.T. Pan and R.J. Plemmons", Year = 1988, Title = "Analysis of a Recursive Least Squares Hyperbolic Rotation Algorithm for Signal Processing", Journal = LinAlgApp, Volume = 98, Pages = "3--40" } @Article{ All73, Author = "E.L. Allgower", Year = 1973, Title = "Exact Inverses of Certain Band Matrices", Journal = NumerMath, Volume = 21, Pages = "279--284" } @TechReport{ AmiM65, Author = "A.R. Amir-Moez", Year = 1965, Title = "Extremal Properties of Linear Transformations and Geometry of Unitary Spaces", Institution = "Texas Tech University", type = "Mathematics Series", number = 243, Address = "Lubbock, TX" } @Article{ AndK75, Author = "N. Anderson and I. Karasalo", Year = 1975, Title = "On Computing Bounds for the Least Singular Value of a Triangular Matrix", Journal = BIT, Volume = 15, Pages = "1--4" } @Article{ AndL73, Author = "P. Anderson and G. Loizou", Year = 1973, Title = "On the Quadratic Convergence of an Algorithm that Diagonalizes a Complex Symmetric Matrix", Journal = InstMathApp, Volume = 12, Pages = "261--271" } @Article{ AndL76, Author = "P. Anderson and G. Loizou", Year = 1976, Title = "A {J}acobi-Type Method for Complex Symmetric Matrices ({H}andbook)", Journal = NumerMath, Volume = 25, Pages = "347--363" } @Article{ AndOU87, Author = "T.W. Anderson and I. Olkin and L.G. Underhill", Year = 1987, Title = "Generation of Random Orthogonal Matrices", Journal = SIAMSciStat, Volume = 8, Pages = "625--629" } @Article{ AndS83, Author = "G. Andrews and F.B. Schneider", Year = 1983, Title = "Concepts and Notations for Concurrent Programming", Journal = CompServ, Volume = 15, Pages = "1--43" } @Article{ Arn51, Author = "W.E. Arnoldi", Year = 1951, Title = "The Principle of Minimized Iterations in the Solution of the Matrix Eigenvalue Problem", Journal = QuartApplMath, Volume = 9, Pages = "17--29" } @TechReport{ ArbG87, Author = "P. Arbenz and G.H. Golub", Year = 1987, Title = "On the Spectral Decomposition of {H}ermitian Matrices Subject to Indefinite Low Rank Perturbations with Applications", Number = "NA 87-07", Institution = "Computer Science, Stanford University", Address = "Stanford, CA" } @Article{ ArbGG88, Author = "P. Arbenz and W. Gander and G.H. Golub", Year = 1988, Title = "Restricted Rank Modification of the Symmetric Eigenvalue Problem: Theoretical Considerations", Journal = LinAlgApp, Volume = 104, Pages = "75--95" } @Article{ ArbG88, Author = "P. Arbenz and G.H. Golub", Year = 1988, Title = "On the Spectral Decomposition of {H}ermitian Matrices Subject to Indefinite Low Rank Perturbations with Applications", Journal = SIAMMatrix, Volume = 9, Pages = "40--58" } @TechReport{ AriDD88, Author = "M. Arioli and J.W. Demmel and I.S. Duff", Year = 1988, Title = "Solving Sparse Linear Systems with Sparse Backward Error", Number = "CSS 214", Institution = "Computer Science and Systems Division, AERE Harwell", Address = "Didcot, England" } @Article{ AriR85, Author = "M. Arioli and F. Romani", Year = 1985, Title = "Relations Between Condition Numbers and the Convergence of the {J}acobi Method for Real Positive Definite Matrices", Journal = NumerMath, Volume = 46, Pages = "31--42" } @Article{ AriL85, Author = "M. Arioli and A. Laratta", Year = 1985, Title = "Error Analysis of an Algorithm for Solving an Underdetermined System", Journal = NumerMath, Volume = 46, Pages = "255--268" } @TechReport{ ArmC76, Author = "E.S. Armstrong and A.K. Caglayan", Year = 1976, Title = "An Algorithm for the Weighting Matrices in the Sample-Data Optimal Linear Regulator Problem", Number = "TN D-8372", Institution = "NASA" } @Article{ ArnL84, Author = "W.F. Arnold and A.J. Laub", Year = 1984, Title = "Generalized Eigenproblem Algorithms and Software for Algebraic {R}iccati Equations", Journal = ProcIEEE, Volume = 72, Pages = "1746--1754" } @PhDThesis{ Ash87, Author = "S.F. Ashby", Year = 1987, Title = "Polynomial Preconditioning for Conjugate Gradient Methods", School = "Computer Science, University of Illinois", Address = "ILL", } @TechReport{ AshMS88, Author = "S. Ashby and T.A. Manteuffel and P.E. Saylor", Year = 1988, Title = "A Taxonomy for Conjugate Gradient Methods", Number = "UCRL-98508", Institution = "Lawrence Livermore National Laboratory", Address = "Livermore, CA" } @Article{ Asp59, Author = "E. Asplund", Year = 1959, Title = "Inverse of Matrices {$\{a_{ij}\}$} Which Satisfy {$a_{ij} = 0$, $j > i+p$}", Journal = MathScand, Volume = 7, Pages = "57--60" } @InCollection{ Axe77, Author = "O. Axelsson", Year = 1977, Title = "Solution of Linear Systems of Equations: Iterative Methods", BookTitle = "Sparse Matrix Techniques: {C}openhagen, 1976", Editor = "V.A. Barker", Publisher = Springer, Address = "Berlin" } @Article{ Axe80, Author = "O. Axelsson", Year = 1980, Title = "Conjugate Gradient Type Methods for Unsymmetric and Inconsistent Systems of Linear Equations", Journal = LinAlgApp, Volume = 29, Pages = "1--66" } @Article{ Axe85, Author = "O. Axelsson", Year = 1985, Title = "A Survey of Preconditioned Iterative Methods for Linear Systems of Equations", Journal = BIT, Volume = 25, Pages = "166--187" } @Article{ AxeP86, Author = "O. Axelsson and B. Polman", Year = 1986, Title = "On Approximate Factorization Methods for Block Matrices Suitable for Vector and Parallel Processors", Journal = LinAlgApp, Volume = 77, Pages = "3--26" } @Article{ Bai88a, Author = "Z. Bai", Year = 1988, Title = "Note on the Quadratic Convergence of {K}ogbetliantz's Algorithm for Computing the Singular Value Decomposition", Journal = LinAlgApp, Volume = 104, Pages = "131--140" } @Article{ Bai88b, Author = "D. Bailey", Year = 1988, Title = "Extra High Speed Matrix Multiplication on the {C}ray-2", Journal = SIAMSciStat, Volume = 9, Pages = "603--607" } @Article{ BarI75, Author = "I.Y. Bar-Itzhack", Year = 1975, Title = "Iterative Optimal Orthogonalization of the Strapdown Matrix", Journal = IEEETransAeroElec, Volume = 11, Pages = "30--37" } @Article{ Bar87, Author = "J. L. Barlow", Year = 1987, Title = "On the Smallest Positive Singular Value of an {$M$}-Matrix with Applications to Ergodic {M}arkov Chains", Journal = SIAMAlgMeth, Volume = 7, Pages = "414--424" } @Article{ BarNP88, Author = "J.L. Barlow and N.K. Nichols and R.J. Plemmons", Year = 1988, Title = "Iterative Methods for Equality Constrained Least Squares Problems", Journal = SIAMSciStat, Volume = 9, Pages = "892--906" } @Article{ BarS68, Author = "S. Barnett and C. Storey", Year = 1968, Title = "Some Applications of the {L}yapunov Matrix Equation", Journal = InstMathApp, Volume = 4, Pages = "33--42" } @Article{ BarP75a, Author = "I. Barrodale and C. Phillips", Year = 1975, Title = "Algorithm~495: Solution of an Overdetermined System of Linear Equations in the {C}hebychev Norm", Journal = ACMMathSoft, Volume = 1, Pages = "264--270" } @Article{ BarR73, Author = "I. Barrodale and F.D.K. Roberts", Year = 1973, Title = "An Improved Algorithm for Discrete {$L_{1}$} Linear Approximation", Journal = SIAMNumAnal, Volume = 10, Pages = "839--848" } @Article{ Bar71, Author = "R.H. Bartels", Year = 1971, Title = "A Stabilization of the Simplex Method", Journal = NumerMath, Volume = 16, Pages = "414--434" } @Article{ BarCC78, Author = "R.H. Bartels and A.R. Conn and C. Charalambous", Year = 1978, Title = "On {C}line's Direct Method for Solving Overdetermined Linear Systems in the {$L_{\infty}$} Sense", Journal = SIAMNumAnal, Volume = 15, Pages = "255--270" } @Article{ BarCS78, Author = "R.H. Bartels and A.R. Conn and J.W. Sinclair", Year = 1978, Title = "Minimization Techniques for Piecewise Differentiable Functions: The {$L_{1}$} Solution to an Overdetermined Linear System", Journal = SIAMNumAnal, Volume = 15, Pages = "224--241" } @Article{ BarS72, Author = "R.H. Bartels and G.W. Stewart", Year = 1972, Title = "Solution of the Equation {$AX + XB = C$}", Journal = CACM, Volume = 15, Pages = "820--826" } @Article{ BarMW67, Author = "W. Barth and R.S. Martin and J.H. Wilkinson", Year = 1967, Title = "Calculation of the Eigenvalues of a Symmetric Tridiagonal Matrix by the Method of Bisection", Journal = NumerMath, Volume = 9, Pages = "386-393", Note = "Also in \cite[pages 249--256]{WilR71}" } @Article{ BarG76, Author = "V. Barwell and J.A. George", Year = 1976, Title = "A Comparison of Algorithms for Solving Symmetric Indefinite Systems of Linear Equations", Journal = ACMMathSoft, Volume = 2, Pages = "242--251" } @Article{ BatW73, Author = "K.J. Bathe and E.L. Wilson", Year = 1973, Title = "Solution Methods for Eigenvalue Problems in Structural Mechanics", Journal = IntNumerEng, Volume = 6, Pages = "213--226" } @Article{ BauF60a, Author = "F.L. Bauer and C.T. Fike", Year = 1960, Title = "Norms and Exclusion Theorems", Journal = NumerMath, Volume = 2, Pages = "137--144" } @Article{ Bau63, Author = "F.L. Bauer", Year = 1963, Title = "Optimally Scaled Matrices", Journal = NumerMath, Volume = 5, Pages = "73--87" } @Article{ Bau65, Author = "F.L. Bauer", Year = 1965, Title = "Elimination with Weighted Row Combinations for Solving Linear Equations and Least Squares Problems", Journal = NumerMath, Volume = 7, Pages = "338--352", Note = "Also in \cite[pages 119--133]{WilR71}" } @Article{ BauF60b, Author = "F.L. Bauer and C.T. Fike", Year = 1960, Title = "Norms and Exclusion Theorems", Journal = NumerMath, Volume = 2, Pages = "137--144" } @Article{ BauR68, Author = "F.L. Bauer and C. Reinsch", Year = 1968, Title = "Rational {QR} Transformation with {N}ewton Shift for Symmetric Tridiagonal Matrices", Journal = NumerMath, Volume = 11, Pages = "264--272", Note = "Also in \cite[pages 257--265]{WilR71}" } @InCollection{ BauR70, Author = "F.L. Bauer and C. Reinsch", Year = 1970, Title = "Inversion of Positive Definite Matrices by the {G}auss-{J}ordan Methods", BookTitle = "Handbook for Automatic Computation Vol. 2: Linear Algebra", Editor = "J.H. Wilkinson and C. Reinsch", Publisher = Springer, Address = "New York", Pages = "45--49" } @Article{ BavS79, Author = "C. Bavely and G.W. Stewart", Year = 1979, Title = "An Algorithm for Computing Reducing Subspaces by Block Diagonalization", Journal = SIAMNumAnal, Volume = 16, Pages = "359--367" } @Book{ Bel70, Author = "R. Bellman", Year = 1970, Title = "Introduction to Matrix Analysis", Edition = "second", Publisher = McGrawHill, Address = "New York, NY" } @Article{ Bel73, Author = "E. Beltrami", Year = 1873, Title = "Sulle Funzioni Bilineari", Journal = GiornaleMath, Volume = 11, Pages = "98--106" } @Article{ BenS70, Author = "C.F. Bender and I. Shavitt", Year = 1970, Title = "An Iterative Procedure for the Calculation of the Lowest Real Eigenvalue and Eigenvector of a Non-Symmetric Matrix", Journal = CompPhys, Volume = 6, Pages = "146--149" } @Article{ BerBI71, Author = "A. Berman and A. Ben-Israel", Year = 1971, Title = "A Note on Pencils of {H}ermitian of Symmetric Matrices", Journal = SIAMAppMath, Volume = 21, Pages = "51--54" } @Article{ BerV68, Author = "M.J.M. Bernal and J.H. Verner", Year = 1968, Title = "On Generalizations of the Theory of Consistent Orderings for Successive Over-Relaxation Methods", Journal = NumerMath, Volume = 12, Pages = "215--222" } @InProceedings{ BerS86, Author = "M. Berry and A. Sameh", Year = 1986, Title = "Multiprocessor {J}acobi Algorithms for Dense Symmetric Eigenvalue and Singular Value Decompositions", BookTitle = "Proceedings International Conference on Parallel Processing", Pages = "433--440" } @InCollection{ Bis87, Author = "C.H. Bischof", Year = 1987, Title = "The Two-Sided Block {J}acobi Method on Hypercube Architectures", Booktitle = "Hypercube Multiprocessors", Editor = "M.T. Heath", Publisher = SIAMPub, Address = "Philadelphia" } @TechReport{ Bis88a, Author = "C.H. Bischof", Year = 1988, Title = "Computing the Singular Value Decomposition on a Distributed System of Vector Processors", Number = "87 869", Institution = "Computer Science, Cornell University", Address = "Ithaca, NY" } @PhDThesis{ Bis88b, Author = "C.H. Bischof", Year = 1988, Title = "{QR} Factorization Algorithms for Coarse Grain Distributed Systems", School = "Computer Science, Cornell University", Address = "Ithaca, NY" } @InCollection{ BisL86, Author = "C.H. Bischof and Van Loan, C.", Year = 1986, Title = "Computing the {SVD} on a Ring of Array Processors", BookTitle = "Large Scale Eigenvalue Problems", Editor = "J. Cullum and R. Willoughby", Publisher = NorthHolland, Pages = "51--66" } @Article{ BisL87, Author = "C.H. Bischof and Van Loan, C.", Year = 1987, Title = "The {WY} Representation for Products of {H}ouseholder Matrices", Journal = SIAMSciStat, Volume = 8, Pages = "s2--s13" } @Article{ Bjo67a, Author = "{\AA}. Bj{\"o}rck", Year = 1967, Title = "Iterative Refinement of Linear Least Squares Solution~{I}", Journal = BIT, Volume = 7, Pages = "257--278" } @Article{ Bjo67b, Author = "{\AA}. Bj{\"o}rck", Year = 1967, Title = "Solving Linear Least Squares Problems by {G}ram-{S}chmidt Orthogonalization", Journal = BIT, Volume = 7, Pages = "1--21" } @Article{ Bjo68, Author = "{\AA}. Bj{\"o}rck", Year = 1968, Title = "Iterative Refinement of Linear Least Squares Solution {II}", Journal = BIT, Volume = 8, Pages = "8--30" } @Article{ Bjo84, Author = "{\AA}. Bj{\"o}rck", Year = 1984, Title = "A General Updating Algorithm for Constrained Linear Least Squares Problems", Journal = SIAMSciStat, Volume = 5, Pages = "394--402" } @Article{ Bjo87, Author = "{\AA}. Bj{\"o}rck", Year = 1987, Title = "Stability Analysis of the Method of Seminormal Equations", Journal = LinAlgApp, Volume = "88/89", Pages = "31--48" } @Book{ Bjo88, Author = "{\AA}. Bj{\"o}rck", Year = 1988, Title = "Solution of Equations in {$R^N$}", Series = "Least Squares Methods: Handbook of Numerical Analysis", Volume = 1, Publisher = NorthHolland } @Article{ BjoB71, Author = "{\AA}. Bj{\"o}rck and C. Bowie", Year = 1971, Title = "An Iterative Algorithm for Computing the Best Estimate of an Orthogonal Matrix", Journal = SIAMNumAnal, Volume = 8, Pages = "358--364" } @Article{ BjoE73, Author = "{\AA}. Bj{\"o}rck and T. Elfving", Year = 1973, Title = "Algorithms for Confluent {V}andermonde Systems", Journal = NumerMath, Volume = 21, Pages = "130--137" } @Article{ BjoG67, Author = "{\AA}. Bj{\"o}rck and G.H. Golub", Year = 1967, Title = "Iterative Refinement of Linear Least Squares Solutions by {H}ouseholder Transformation", Journal = BIT, Volume = 7, Pages = "322--337" } @Article{ BjoG73, Author = "{\AA}. Bj{\"o}rck and G.H. Golub", Year = 1973, Title = "Numerical Methods for Computing Angles Between Linear Subspaces", Journal = MathComp, Volume = 27, Pages = "579--594" } @Article{ BjoP70, Author = "{\AA}. Bj{\"o}rck and V. Pereyra", Year = 1970, Title = "Solution of {V}andermonde Systems of Equations", Journal = MathComp, Volume = 24, Pages = "893--903" } @Book{ BjoPS81, Author = "{\AA}. Bj{\"o}rck and R.J. Plemmons and H. Schneider", Year = 1981, Title = "Large-Scale Matrix Problems", Publisher = NorthHolland, Address = "New York, NY" } @Article{ BjoH83, Author = "{\AA}. Bj{\"o}rck and S. Hammarling", Year = 1983, Title = "A {S}chur Method for the Square Root of a Matrix", Journal = LinAlgApp, Volume = "52/53", Pages = "127--140" } @Article{ Blu78, Author = "J.M. Blue", Year = 1978, Title = "A Portable {F}ortran Program to Find the {E}uclidean Norm of a Vector", Journal = ACMMathSoft, Volume = 4, Pages = "15--23" } @Article{ Boh75, Author = "Z. Bohte", Year = 1975, Title = "Bounds for Rounding Errors in the {G}aussian Elimination for Band Systems", Journal = InstMathApp, Volume = 16, Pages = "133--142" } @Article{ BojBdH86, Author = "A.W. Bojanczyk and R.P. Brent and de Hoog, F.R.", Year = 1986, Title = "{QR} Factorization of {T}oeplitz Matrices", Journal = NumerMath, Volume = 49, Pages = "81--94" } @Article{ BojBDdH87, Author = "A.W. Bojanczyk and R.P. Brent and Van Dooren, P. and de Hoog, F.R.", Year = 1987, Title = "A Note on Downdating the {C}holesky Factorization", Journal = SIAMSciStat, Volume = 8, Pages = "210--221" } @InProceedings{ BolG78, Author = "D.L. Boley and G.H. Golub", Year = 1978, Title = "The Matrix Inverse Eigenvalue Problem for Periodic {J}acobi Matrices", BookTitle = "Proceedings Fourth Symposium on Basic Problems of Numerical Mathematics, {P}rague", Pages = "63--76" } @Article{ BolG84a, Author = "D. Boley and G.H. Golub", Year = 1984, Title = "A Modified Method for Restructuring Periodic {J}acobi Matrices", Journal = MathComp, Volume = 42, Pages = "143--150" } @Article{ BooE68, Author = "J. Boothroyd and P.J. Eberlein", Year = 1968, Title = "Solution to the Eigenproblem by a Norm-Reducing {J}acobi-Type Method (Handbook)", Journal = NumerMath, Volume = 11, Pages = "1--12", Note = "Also in \cite[pages 327--338]{WilR71}" } @Article{ BowMPW66, Author = "H.J. Bowdler and R.S. Martin and G. Peters and J.H. Wilkinson", Year = 1966, Title = "Solution of Real and Complex Systems of Linear Equations", Journal = NumerMath, Volume = 8, Pages = "217-234", Note = "Also in \cite[pages 93--110]{WilR71}" } @Article{ BowMRW68, Author = "H. Bowdler and R.S. Martin and C. Reinsch and J.H. Wilkinson", Year = 1968, Title = "The {QR} and {QL} Algorithms for Symmetric Matrices", Journal = NumerMath, Volume = 11, Pages = "293-306", Note = "Also in \cite[pages 227--240]{WilR71}" } @Book{ BoyBD+87, Author = "J. Boyle and R. Butler and T. Disz and B. Glickfield and E. Lusk and R. Overbeek and J. Patterson and R. Stevens", Year = 1987, Title = "Portable Programs for Parallel Processors", Publisher = HoltRinehartWinston } @Article{ BraPS86a, Author = "J.H. Bramble and J.E. Pasciak and A.H. Schatz", Year = 1986, Title = "The construction of Preconditioners for Elliptic Problems by Substructuring {I}", Journal = MathComp, Volume = 47, Pages = "103--134" } @Article{ BraPS86b, Author = "J.H. Bramble and J.E. Pasciak and A.H. Schatz", Year = 1986, Title = "The construction of Preconditioners for Elliptic Problems by Substructuring {II}", Journal = MathComp, Volume = 49, Pages = "1--17" } @Article{ Bre70, Author = "R.P. Brent", Year = 1970, Title = "Error Analysis of Algorithms for Matrix Multiplication and Triangular Decomposition Using {W}inograd's Identity", Journal = NumerMath, Volume = 16, Pages = "145--156" } @Article{ BreL85, Author = "R.P. Brent and F.T. Luk", Year = 1985, Title = "The Solution of Singular Value and Symmetric Eigenvalue Problems on Multiprocessor Arrays", Journal = SIAMSciStat, Volume = 6, Pages = "69--84" } @Article{ BreLL85, Author = "R.P. Brent and F.T. Luk and Van Loan, C.", Year = 1985, Title = "Computation of the Singular Value Decomposition Using Mesh Connected Processors", Journal = VLSICompSys, Volume = 1, Pages = "242--270" } @Article{ BroP75b, Author = "K.W. Brodlie and M.J. D. Powell", Year = 1975, Title = "On the Convergence of Cyclic {J}acobi Methods", Journal = InstMathApp, Volume = 15, Pages = "279--287" } @Article{ Bro73, Author = "C.G. Broyden", Year = 1973, Title = "Some Condition Number Bounds for the {G}aussian Elimination Process", Journal = InstMathApp, Volume = 12, Pages = "273--286" } @Article{ Buc74, Author = "A. Buckley", Year = 1974, Title = "A Note on Matrices {$A = 1 + H$}, {$H$} Skew-Symmetric", Journal = ZAngewMathMech, Volume = 54, Pages = "125--126" } @Article{ Buc77, Author = "A. Buckley", Year = 1977, Title = "On the Solution of Certain Skew-Symmetric Linear Systems", Journal = SIAMNumAnal, Volume = 14, Pages = "566--570" } @Article{ Bun71a, Author = "J.R. Bunch", Year = 1971, Title = "Analysis of the Diagonal Pivoting Method", Journal = SIAMNumAnal, Volume = 8, Pages = "656--680" } @Article{ Bun71b, Author = "J.R. Bunch", Year = 1971, Title = "Equilibration of Symmetric Matrices in the Max-Norm", Journal = JACM, Volume = 18, Pages = "566--572" } @Article{ Bun74, Author = "J.R. Bunch", Year = 1974, Title = "Partial Pivoting Strategies for Symmetric Matrices", Journal = SIAMNumAnal, Volume = 11, Pages = "521--528" } @InCollection{ Bun76, Author = "J.R. Bunch", Year = 1976, Title = "Block Methods for Solving Sparse Linear Systems", BookTitle = "Sparse Matrix Computations", Editor = "J.R. Bunch and D.J. Rose", Publisher = Academic, Address = "New York, NY" } @Article{ BunK77, Author = "J.R. Bunch and K. Kaufman", Year = 1977, Title = "Some Stable Methods for Calculating Inertia and Solving Symmetric Linear Systems", Journal = MathComp, Volume = 31, Pages = "162--179" } @Article{ BunKP76, Author = "J.R. Bunch and K. Kaufman and B.N. Parlett", Year = 1976, Title = "Decomposition of a Symmetric Matrix", Journal = NumerMath, Volume = 27, Pages = "95--109" } @Article{ BunNS78, Author = "J.R. Bunch and C.P. Nielsen and D.C. Sorensen", Year = 1978, Title = "Rank-One Modification of the Symmetric Eigenproblem", Journal = NumerMath, Volume = 31, Pages = "31--48" } @Article{ BunP71, Author = "J.R. Bunch and B.N. Parlett", Year = 1971, Title = "Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations", Journal = SIAMNumAnal, Volume = 8, Pages = "639--655" } @Book{ BunR76, Editor = "J.R. Bunch and D.J. Rose", Year = 1976, Title = "Sparse Matrix Computations", Publisher = Academic, Address = "New York", } @Article{ Bun82, Author = "J.R. Bunch", Year = 1982, Title = "A Note on the Stable Decomposition of Skew Symmetric Matrices", Journal = MathComp, Volume = 158, Pages = "475--480" } @Article{ Bun85, Author = "J.R. Bunch", Year = 1985, Title = "Stability of Methods for Solving {T}oeplitz Systems of Equations", Journal = SIAMSciStat, Volume = 6, Pages = "349--364" } @Article{ Bun87, Author = "J.R. Bunch", Year = 1987, Title = "The Weak and Strong Stability of Algorithms in Numerical Linear Algebra", Journal = LinAlgApp, Volume = "88/89", Pages = "49--66" } @TechReport{ Bun69, Author = "O. Buneman", Year = 1969, Title = "A Compact Non-Iterative {P}oisson Solver", Institution = "Institute for Plasma Research", Address = "Stanford University, Stanford, CA", Number = 294 } @Article{ BunG84b, Author = "A. Bunse-Gerstner", Year = 1984, Title = "An Algorithm for the Symmetric Generalized Eigenvalue Problem", Journal = LinAlgApp, Volume = 58, Pages = "43--68" } @Article{ BunGG88, Author = "A. Bunse-Gerstner and W.B. Gragg", Year = 1988, Title = "Singular Value Decompositions of Complex Symmetric Matrices", Journal = CompApplMath, Volume = 21, Pages = "41--54" } @Article{ Bus68, Author = "P.A. Businger", Year = 1968, Title = "Matrices Which Can be Optimally Scaled", Journal = NumerMath, Volume = 12, Pages = "346--348" } @Article{ Bus69, Author = "P.A. Businger", Year = 1969, Title = "Reducing a Matrix to {H}essenberg Form", Journal = MathComp, Volume = 23, Pages = "819--821" } @Article{ Bus71a, Author = "P.A. Businger", Year = 1971, Title = "Monitoring the Numerical Stability of {G}aussian Elimination", Journal = NumerMath, Volume = 16, Pages = "360--361" } @Article{ Bus71b, Author = "P.A. Businger", Year = 1971, Title = "Numerically Stable Deflation of {H}essenberg and Symmetric Tridiagonal Matrices", Journal = BIT, Volume = 11, Pages = "262--270" } @Article{ BusG65, Author = "P.A. Businger and G.H. Golub", Year = 1965, Title = "Linear Least Squares Solutions by {H}ouseholder Transformations", Journal = NumerMath, Volume = 7, Pages = "269--276", Note = "Also in \cite[pages 111--118]{WilR71}" } @Article{ BusG69, Author = "P.A. Businger and G.H. Golub", Year = 1969, Title = "Algorithm~358: Singular Value Decomposition of a Complex Matrix", Journal = CACM, Volume = 12, Pages = "564--565" } @Article{ BuzD74, Author = "B.L. Buzbee and F.W. Dorr", Year = 1974, Title = "The Direct Solution of the Biharmonic Equation on Rectangular Regions and the {P}oisson Equation on Irregular Regions", Journal = SIAMNumAnal, Volume = 11, Pages = "753--763" } @Article{ BuzDGG71, Author = "B.L. Buzbee and F.W. Dorr and J.A. George and G.H. Golub", Year = 1971, Title = "The Direct Solution of the Discrete {P}oisson Equation on Irregular Regions", Journal = SIAMNumAnal, Volume = 8, Pages = "722--736" } @Article{ BuzGN70, Author = "B.L. Buzbee and G.H. Golub and C.W. Nielson", Year = 1970, Title = "On Direct Methods for Solving {P}oisson's Equations", Journal = SIAMNumAnal, Volume = 7, Pages = "627--656" } @Article{ Buz86, Author = "B.L. Buzbee", Year = 1986, Title = "A Strategy for Vectorization", Journal = ParComputing, Volume = 3, Pages = "187--192" } @PhDThesis{ Bye83, Author = "R. Byers", Year = 1983, Title = "{H}amiltonian and Symplectic Algorithms for the Algebraic {R}iccati Equation", School = "Center for Applied Mathematics, Cornell University", Address = "Ithaca, NY", } @Article{ Bye84, Author = "R. Byers", Year = 1984, Title = "A {L}inpack-Style Condition Estimator for the Equation {$AX - XB^{T} = C$}", Journal = IEEETransAC, Volume = "AC-29", Pages = "926--928" } @Article{ Bye86, Author = "R. Byers", Year = 1986, Title = "A {H}amiltonian {QR} Algorithm", Journal = SIAMSciStat, Volume = 7, Pages = "212--229" } @Article{ ByeN87, Author = "R. Byers and S.G. Nash", Year = 1987, Title = "On the Singular Vectors of the {L}yapunov Operator", Journal = SIAMAlgMeth, Volume = 8, Pages = "59--66" } @InProceedings{ Cal86, Author = "D.A. Calihan", Year = 1986, Title = "Block-Oriented, Local-Memory-Based Linear Equation Solution on the {C}ray-2: Uniprocessor Algorithms", BookTitle = "Proceedings of the 1986 Conference on Parallel Processing", Pages = "375--378" } @Article{ ChaP77, Author = "S.P. Chan and B.N. Parlett", Year = 1977, Title = "Algorithm~517: A Program for Computing the Condition Numbers of Matrix Eigenvalues without Computing Eigenvectors", Journal = ACMMathSoft, Volume = 3, Pages = "186--203" } @Article{ Cha82b, Author = "T.F. Chan", Year = 1982, Title = "An Improved Algorithm for Computing the Singular Value Decomposition", Journal = ACMMathSoft, Volume = 8, Pages = "72--83" } @Article{ Cha82a, Author = "T.F. Chan", Year = 1982, Title = "Algorithm~581: An Improved Algorithm for Computing the Singular Value Decomposition", Journal = ACMMathSoft, Volume = 8, Pages = "84--88" } @Article{ Cha84, Author = "T.F. Chan", Year = 1984, Title = "Deflated Decomposition Solutions of Nearly Singular Systems", Journal = SIAMNumAnal, Volume = 21, Pages = "738--754" } @Article{ Cha85, Author = "T.F. Chan", Year = 1985, Title = "On the Existence and Computation of {LU} Factorizations with small pivots", Journal = MathComp, Volume = 42, Pages = "535--548" } @Article{ Cha87, Author = "T.F. Chan", Year = 1987, Title = "Rank-Revealing {QR} Factorizations", Journal = LinAlgApp, Volume = "88/89", Pages = "67--82" } @Article{ Cha88, Author = "T.F. Chan", Year = 1988, Title = "An Optimal Circulant Preconditioner for {T}oeplitz Systems", Journal = SIAMSciStat, Volume = 9, Pages = "766--771" } @Article{ ChaJZ83, Author = "T.F. Chan and K.R. Jackson and B. Zhu", Year = 1983, Title = "Alternating Direction Incomplete Factorizations", Journal = SIAMNumAnal, Volume = 20, Pages = "239--257" } @Article{ ChaM88, Author = "H.Y. Chang and M.Salama", Year = 1988, Title = "A Parallel {H}ouseholder Tridiagonalization Stratagem Using Scattered Square Decomposition", Journal = ParComputing, Volume = 6, Pages = "297--312" } @Article{ ChaVD88, Author = "J.P. Charlier and M. Vanbegin and Van Dooren, P.", Year = 1988, Title = "On Efficient Implementation of {K}ogbetliantz's Algorithm for Computing the Singular Value Decomposition", Journal = NumerMath, Volume = 52, Pages = "279--300" } @Article{ ChaD87, Author = "J.P. Charlier and Van Dooren, P.", Year = 1987, Title = "On {K}ogbetliantz's {SVD} Algorithm in the Presence of Clusters", Journal = LinAlgApp, Volume = 95, Pages = "135--160" } @Article{ CheDH84, Author = "S. Chen and J. Dongarra and C. Hsuing", Title = "Multiprocessing Linear Algebra Algorithms on the {Cray X-MP-2}: Experiences with Small Granularity", Year = 1984, Journal = ParDistComp, Volume = 1, Pages = "22--31" } @Article{ CheKS78, Author = "S. Chen and D. Kuck and A. Sameh", Year = 1978, Title = "Practical Parallel Band Triangular Systems Solvers", Journal = ACMMathSoft, Volume = 4, Pages = "270--277" } @Article{ CheS87, Author = "K.H. Cheng and S. Sahni", Year = 1987, Title = "{VLSI} Systems for Band Matrix Multiplication", Journal = ParComputing, Volume = 4, Pages = "239--258" } @Article{ ChiMdP84, Author = " R.C. Chin and T.A. Manteuffel and de Pillis, J.", Year = 1984, Title = "{ADI} as a Preconditioning for Solving the Convection-Diffusion Equation", Journal = SIAMSciStat, Volume = 5, Pages = "281--299" } @Article{ Cli73, Author = "A.K. Cline", Year = 1973, Title = "An Elimination Method for the Solution of Linear Least Squares Problems", Journal = SIAMNumAnal, Volume = 10, Pages = "283--289" } @Article{ Cli76a, Author = "A.K. Cline", Year = 1976, Title = "A Descent Method for the Uniform Solution to Overdetermined Systems of Equations", Journal = SIAMNumAnal, Volume = 13, Pages = "293--309" } @TechReport{ Cli76b, Author = "A.K. Cline", Year = 1976, Title = "Several observations on the Use of Conjugate Gradient Methods", Type = "report", Number = "76-22", Institution = "ICASE, NASA Langley Research Center", Address = "Hampton, VA" } @Article{ CliR83, Author = "A.K. Cline and R.K. Rew", Year = 1983, Title = "A Set of Counter examples to Three Condition Number Estimators", Journal = SIAMSciStat, Volume = 4, Pages = "602--611" } @InCollection{ CliCL82, Author = "A.K. Cline and A.R. Conn and Van Loan, C.", Year = 1982, Title = "Generalizing the {LINPACK} Condition Estimator", Booktitle = "Numerical Analysis", Editor = "J.P. Hennart", Series = "Lecture Notes in Mathematics 909", Publisher = Springer, Address = "New York, NY" } @InCollection{ CliGP76, Author = "A.K. Cline and G.H. Golub and G.W. Platzman", Year = 1976, Title = "Calculation of Normal Modes of Oceans Using a {L}anczos Method", BookTitle = "Sparse Matrix Computations", Editor = "J.R. Bunch and D.J. Rose", Publisher = Academic, Address = "New York", Pages = "409--426" } @Article{ CliMSW79, Author = "A.K. Cline and C.B. Moler and G.W. Stewart and J.H. Wilkinson", Year = 1979, Title = "An Estimate for the Condition Number of a Matrix", Journal = SIAMNumAnal, Volume = 16, Pages = "368--375" } @Article{ CliP76, Author = "R.E. Cline and R.J. Plemmons", Year = 1976, Title = "{$L_{1}$}-Solutions to Underdetermined Linear Systems", Journal = SIAMReview, Volume = 18, Pages = "92--106" } @Article{ CliJ70, Author = "M. Clint and A. Jennings", Year = 1970, Title = "The Evaluation of Eigenvalues and Eigenvectors of Real Symmetric Matrix by Simultaneous Iteration", Journal = CompJour, Volume = 13, Pages = "76--80" } @Article{ CliJ71, Author = "M. Clint and A. Jennings", Year = 1971, Title = "A Simultaneous Iteration Method for the Unsymmetric Eigenvalue Problem", Journal = InstMathApp, Volume = 8, Pages = "111--121" } @Article{ Coc68, Author = "W.G. Cochrane", Year = 1968, Title = "Errors of Measurement in Statistics", Journal = Techno, Volume = 10, Pages = "637--666" } @Article{ Coh74, Author = "A.M. Cohen", Year = 1974, Title = "A Note on Pivot Size in {G}aussian Elimination", Journal = LinAlgApp, Volume = 8, Pages = "361--368" } @Book{ ColL88, Author = "T. Coleman and Van Loan, C.", Year = 1988, Title = "Handbook for Matrix Computations", Publisher = SIAMPub, Address = "Philadelphia, PA" } @Article{ ConG73, Author = "P. Concus and G.H. Golub", Year = 1973, Title = "Use of Fast Direct Methods for the Efficient Numerical Solution of Nonseparable Elliptic Equations", Journal = SIAMNumAnal, Volume = 10, Pages = "1103--1120" } @Article{ ConGM85, Author = "P. Concus and G.H. Golub and G. Meurant", Year = 1985, Title = "Block Preconditioning for the Conjugate Gradient Method", Journal = SIAMSciStat, Volume = 6, Pages = "220--252" } @InCollection{ ConGO76, Author = "P. Concus and G.H. Golub and D.P. O'Leary", Year = 1976, Title = "A Generalized Conjugate Gradient Method for the Numerical Solution of Elliptic Partial Differential Equations", Booktitle = "Sparse Matrix Computations", Editor = "J.R. Bunch and D.J. Rose", Publisher = Academic, Address = "New York, NY" } @Book{ CdB80, Author = "S.D. Conte and de Boor, C.", Year = 1980, Title = "Elementary Numerical Analysis: An Algorithmic Approach", Publisher = McGrawHill, Address = "New York, NY", Edition = "third" } @Article{ CopR79, Author = "J.E. Cope and B.W. Rust", Year = 1979, Title = "Bounds on Solutions of Systems with Inaccurate Data", Journal = SIAMNumAnal, Volume = 16, Pages = "950--963" } @Article{ CosMR86, Author = "M. Costnard and J.M. Muller and Y. Robert", Year = 1986, Title = "Parallel {QR} Decomposition of a Rectangular Matrix", Journal = NumerMath, Volume = 48, Pages = "239--250" } @Article{ CosMR88, Author = "M. Costnard and M. Marrakchi and Y. Robert", Year = 1988, Title = "Parallel {G}aussian Elimination on an {MIMD} Computer", Journal = ParComputing, Volume = 6, Pages = "275--296" } @Article{ Cot74, Author = "R.W. Cottle", Year = 1974, Title = "Manifestations of the {S}chur Complement", Journal = LinAlgApp, Volume = 8, Pages = "189--211" } @Article{ Cox81, Author = "M.G. Cox", Year = 1981, Title = "The Least Squares Solution of Overdetermined Linear Equations having Band or Augmented Band Structure", Journal = IMANumerAna, Volume = 1, Pages = "3--22" } @Article{ Cra73, Author = "C.R. Crawford", Year = 1973, Title = "Reduction of a Band Symmetric Generalized Eigenvalue Problem", Journal = CACM, Volume = 16, Pages = "41--44" } @Article{ Cra76, Author = "C.R. Crawford", Year = 1976, Title = "A Stable Generalized Eigenvalue Problem", Journal = SIAMNumAnal, Volume = 13, Pages = "854--860" } @Article{ Cra86, Author = "C.R. Crawford", Year = 1986, Title = "Algorithm~646 {PDFIND}: A Routine to Find a Positive Definite Linear Combination of Two Real Symmetric Matrices", Journal = ACMMathSoft, Volume = 12, Pages = "278--282" } @Article{ CraM83, Author = "C.R. Crawford and Y.S. Moon", Year = 1983, Title = "Finding a Positive Definite Linear Combination of Two {H}ermitian Matrices", Journal = LinAlgApp, Volume = 51, Pages = "37--48" } @Article{ Cry68, Author = "C.W. Cryer", Year = 1968, Title = "Pivot Size in {G}aussian Elimination", Journal = NumerMath, Volume = 12, Pages = "335--345" } @Article{ Cul78, Author = "J. Cullum", Year = 1978, Title = "The Simultaneous Computation of a Few of the Algebraically Largest and Smallest Eigenvalues of a Large Sparse Symmetric Matrix", Journal = BIT, Volume = 18, Pages = "265--275" } @InProceedings{ CulD74, Author = "J. Cullum and W.E. Donath", Year = 1974, Title = "A Block {L}anczos Algorithm for Computing the {Q} Algebraically Largest Eigenvalues and a Corresponding Eigenspace of Large, Sparse Real Symmetric Matrices", BookTitle = "Proceedings of the 1974 IEEE Conference on Decision and Control, {Phoenix, AZ}", Pages = "505--509" } @TechReport{ CulW77, Author = "J. Cullum and R.A. Willoughby", Year = 1977, Title = "The Equivalence of the {L}anczos and the Conjugate Gradient Algorithms", Number = "RC-6903", Institution = "IBM", Address = "Yorktown Heights, NY" } @InProceedings{ CulW79, Author = "J. Cullum and R.A. Willoughby", Year = 1979, Title = "{L}anczos and the Computation in Specified Intervals of the Spectrum of Large, Sparse Real Symmetric Matrices", Booktitle = "Sparse Matrix Proceedings 1978", Editor = "I.S. Duff and G.W. Stewart", Publisher = SIAMPub, Address = "Philadelphia, PA" } @Article{ CulW80, Author = "J. Cullum and R.A. Willoughby", Year = 1980, Title = "The {L}anczos Phenomena: An Interpretation Based on Conjugate Gradient Optimization", Journal = LinAlgApp, Volume = 29, Pages = "63--90" } @Book{ CulW85b, Author = "J. Cullum and R.A. Willoughby", Year = 1985, Title = "{L}anczos Algorithms for Large Symmetric Eigenvalue Computations, Volume 1: Theory", Publisher = Birkhauser, Address = "Boston" } @Book{ CulW85a, Author = "J. Cullum and R.A. Willoughby", Year = 1985, Title = "{L}anczos Algorithms for Large Symmetric Eigenvalue Computations, Volume 2: Programs", Publisher = Birkhauser, Address = "Boston" } @Book{ CulW86, Editor = "J. Cullum and R.A. Willoughby", Year = 1986, Title = "Large Scale Eigenvalue Problems", Publisher = NorthHolland, } @Article{ CulWL83, Author = "J. Cullum and R.A. Willoughby and M. Lake", Year = 1983, Title = "A {L}anczos Algorithm for Computing Singular Values and Vectors of Large Matrices", Journal = SIAMSciStat, Volume = 4, Pages = "197--215" } @Article{ Cup81, Author = "J.J.M. Cuppen", Year = 1981, Title = "A Divide and Conquer Method for the Symmetric Eigenproblem", Journal = NumerMath, Volume = 36, Pages = "177--195" } @Article{ Cup83, Author = "J.J.M. Cuppen", Year = 1983, Title = "The Singular Value Decomposition in Product Form", Journal = SIAMSciStat, Volume = 4, Pages = "216--222" } @Article{ Cup84, Author = "J.J.M. Cuppen", Year = 1984, Title = "On Updating Triangular Products of {H}ouseholder Matrices", Journal = NumerMath, Volume = 45, Pages = "403--410" } @InCollection{ Cut72, Author = "E. Cuthill", Year = 1972, Title = "Several Strategies for Reducing the Bandwidth of Matrices", BookTitle = "Sparse Matrices and Their Applications", Editor = "D.J. Rose and R.A. Willoughby", Publisher = PlenumPress, Address = "New York" } @PhDThesis{ Cyb78, Author = "G. Cybenko", Year = 1978, Title = "Error Analysis of Some Signal Processing Algorithms", School = "Princeton University", Address = "Princeton, NJ" } @Article{ Cyb80, Author = "G. Cybenko", Year = 1980, Title = "The Numerical Stability of the {L}evinson-{D}urbin Algorithm for {T}oeplitz Systems of Equations", Journal = SIAMSciStat, Volume = 1, Pages = "303--310" } @Article{ Cyb84, Author = "G. Cybenko", Year = 1984, Title = "The Numerical Stability of the Lattice Algorithm for Least Squares Linear Prediction Problems", Journal = BIT, Volume = 24, Pages = "441--455" } @Article{ CybL86, Author = "G. Cybenko and Van Loan, C.", Year = 1986, Title = "Computing the Minimum Eigenvalue of a Symmetric Positive Definite {T}oeplitz Matrix", Journal = SIAMSciStat, Volume = 7, Pages = "123--131" } @Article{ DanGKS76, Author = "J. Daniel and W.B. Gragg and L. Kaufman and G.W. Stewart", Year = 1976, Title = "Reorthogonalization and Stable Algorithms for Updating the {G}ram-{S}chmidt {QR} Factorization", Journal = MathComp, Volume = 30, Pages = "772--795" } @Article{ Dav73, Author = "C. Davis", Year = 1973, Title = "Explicit Functional Calculus", Journal = LinAlgApp, Volume = 6, Pages = "193--199" } @Book{ DatJK+88, Author = "B.N. Datta and C.R. Johnson and M.A. Kaashoek and R. Plemmons and E.D. Sontag", Year = 1988, Title = "Linear Algebra in Signals, Systems, and Control", Publisher = SIAMPub, Address = "Philadelphia" } @Article{ Dav86, Author = "G.J. Davis", Year = 1986, Title = "Column {LU} Pivoting on a Hypercube Multiprocessor", Journal = SIAMAlgMeth, Volume = 7, Pages = "538--550" } @Article{ DavK70, Author = "C. Davis and W.M. Kahan", Year = 1970, Title = "The Rotation of Eigenvectors by a Perturbation {III}", Journal = SIAMNumAnal, Volume = 7, Pages = "1--46" } @Article{ DaxK77, Author = "A. Dax and S. Kaniel", Year = 1977, Title = "Pivoting Techniques for Symmetric {G}aussian Elimination", Journal = NumerMath, Volume = 28, Pages = "221--242" } @Article{ DayP88, Author = "J. Day and B. Peterson", Year = 1988, Title = "Growth in {G}aussian Elimination", Journal = AmerMathMonthly, Volume = 95, Pages = "489--513" } @TechReport{ DayD88, Author = "M.J. Dayde and I.S. Duff", Year = 1988, Title = "Use of Level-3 {BLAS} in {LU} Factorization on the {C}ray-2, the {ETA-10P}, and the {IBM 3090-200/VF}", Number = "CSS-229", Institution = "Computer Science and Systems Division, Harwell Laboratory", Address = "Oxon OX11 ORA, England" } @Article{ dBooP77, Author = "de Boor, C. and A. Pinkus", Year = 1977, Title = "A Backward Error Analysis for Totally Positive Linear Systems", Journal = NumerMath, Volume = 27, Pages = "485--490" } @Article{ DeiNT83, Author = "P. Deift and T. Nande and C. Tome", Year = 1983, Title = "Ordinary Differential Equations and the Symmetric Eigenvalue Problem", Journal = SIAMNumAnal, Volume = 20, Pages = "1--22" } @Article{ DekT71, Author = "T.J. Dekker and J.F. Traub", Year = 1971, Title = "The Shifted {QR} Algorithm for {H}ermitian Matrices", Journal = LinAlgApp, Volume = 4, Pages = "137--154" } @Article{ DelI86, Author = "J.M. Delosme and I.C.F. Ipsen", Year = 1986, Title = "Parallel Solution of Symmetric Positive Definite Systems with Hyperbolic Rotations", Journal = LinAlgApp, Volume = 77, Pages = "75--112" } @PhDThesis{ Dem83b, Author = "J.W. Demmel", Year = 1983, Title = "A Numerical Analyst's {J}ordan Canonical Form", School = "Univ. of California at Berkeley", Address = "Berkeley, CA" } @Article{ Dem83a, Author = "J.W. Demmel", Year = 1983, Title = "The Condition Number of Equivalence Transformations that Block Diagonalize Matrix Pencils", Journal = SIAMNumAnal, Volume = 20, Pages = "599--610" } @Article{ Dem84, Author = "J.W. Demmel", Year = 1984, Title = "Underflow and the Reliability of Numerical Software", Journal = SIAMSciStat, Volume = 5, Pages = "887--919" } @Article{ Dem87b, Author = "J.W. Demmel", Year = 1987, Title = "On the Distance to the Nearest Ill-Posed Problem", Journal = NumerMath, Volume = 51, Pages = "251--289" } @Article{ Dem87a, Author = "J.W. Demmel", Year = 1987, Title = "A Counterexample for two Conjectures About Stability", Journal = IEEETransAC, Volume = "AC-32", Pages = "340--342" } @Article{ Dem87d, Author = "J.W. Demmel", Year = 1987, Title = "Three Methods for Refining Estimates of Invariant Subspaces", Journal = Computing, Volume = 38, Pages = "43--57" } @Article{ Dem87c, Author = "J.W. Demmel", Year = 1987, Title = "The smallest perturbation of a submatrix which lowers the rank and constrained total least squares problems", Journal = SIAMNumAnal, Volume = 24, Pages = "199--206" } @Article{ Dem88, Author = "J.W. 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Hammarling", Year = 1988, Title = "A Set of Level 3 {B}asic {L}inear {A}lgebra {S}ubprograms", Number = "ANL-MCS-TM-88", Institution = "Argonne National Laboratory", Address = "Argonne, ILL" } @Article{ DonCHH88b, Author = "J.J. Dongarra and Du Croz, J. and S. Hammarling and R.J. Hanson", Year = 1988, Title = "An Extended Set of {F}ortran {B}asic {L}inear {A}lgebra {S}ubprograms", Journal = ACMMathSoft, Volume = 14, Pages = "1--17" } @Article{ DonCHH88a, Author = "J.J. Dongarra and Du Croz, J. and S. Hammarling and R.J. Hanson", Year = 1988, Title = "Algorithm~656: An Extended Set of {F}ortran Basic Linear Algebra Subprograms: Model Implementation and Test Programs", Journal = ACMMathSoft, Volume = 14, Pages = "18--32" } @Article{ DonE84, Author = "J.J. Dongarra and S. Eisenstat", Year = 1984, Title = "Squeezing the Most Out of an Algorithm in {C}ray {F}ortran", Journal = ACMMathSoft, Volume = 10, Pages = "221--230" } @Article{ DonGK84, Author = "J.J. Dongarra and F.G. Gustavson and A. Karp", Year = 1984, Title = "Implementing Linear Algebra Algorithms for Dense Matrices on a Vector Pipeline Machine", Journal = SIAMReview, Volume = 26, Pages = "91--112" } @TechReport{ DonHS87, Author = "J.J. Dongarra and S. Hammarling and D.C. Sorensen", Year = 1987, Title = "Block Reduction of Matrices to Condensed form for Eigenvalue Computations", Number = "ANL-MCS-TM 99", Institution = "Argonne National Laboratory", Address = "Argonne, Illinois" } @Article{ DonH86, Author = "J. Dongarra and T. Hewitt", Year = 1986, Title = "Implementing Dense Linear Algebra Algorithms Using Multitasking on the {Cray X-MP-4} (or Approaching the Gigaflop)", Journal = SIAMSciStat, Volume = 7, Pages = "347--350" } @Article{ DonH79, Author = "J. Dongarra and A. Hinds", Year = 1979, Title = "Unrolling Loops in {F}ortran", Journal = SoftPracExp, Volume = 9, Pages = "219--229" } @Article{ DonH84, Author = "J.J. Dongarra and R.E. 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Eisenstat", Year = 1984, Title = "Efficient Implementation of a Class of Preconditioned Conjugate Gradient Methods", Journal = SIAMSciStat, Volume = 2, Pages = "1--4" } @Article{ EisHHR88, Author = "S.C Eisenstat and M.T. Heath and C.S. Henkel and C.H. Romine", Year = 1988, Title = "Modified Cyclic Algorithms for Solving Triangular Systems on Distributed Memory Multiprocessors", Journal = SIAMSciStat, Volume = 9, Pages = "589--600" } @Article{ Eld77a, Author = "L. Eld{\`e}n", Year = 1977, Title = "Algorithms for the Regularization of Ill-Conditioned Least Squares Problems", Journal = BIT, Volume = 17, Pages = "134--145" } @PhDThesis{ Eld77b, Author = "L. Eld{\`e}n", Year = 1977, Title = "Numerical Analysis of Regularization and Constrained Least Square Methods", Number = 20, School = "Linkoping Studies in Science and Technology", Address = "Linkoping, Sweden" } @Article{ Eld80, Author = "L. Eld{\`e}n", Year = 1980, Title = "Perturbation Theory for the Least Squares Problem with Linear Equality Constraints", Journal = SIAMNumAnal, Volume = 17, Pages = "338--350" } @Article{ Eld83, Author = "L. Eld{\`e}n", Year = 1983, Title = "A Weighted Pseudoinverse, Generalized Singular Values, and Constrained Least Squares Problems", Journal = BIT, Volume = 22, Pages = "487--502" } @Article{ Eld84, Author = "L. Eld{\`e}n", Year = 1984, Title = "An Algorithm for the Regularization of Ill-Conditioned, Banded Least Squares Problems", Journal = SIAMSciStat, Volume = 5, Pages = "237--254" } @Article{ Eld85, Author = "L. Eld{\`e}n", Year = 1985, Title = "A Note on the Computation of the Generalized Cross-Validation Function for Ill-Conditioned Least Squares Problems", Journal = BIT, Volume = 24, Pages = "467--472" } @TechReport{ Eld88, Author = "L. Eld{\`e}n", Year = 1988, Title = "A Parallel {QR} Decomposition Algorithm", Number = "LiTh Mat R 1988-02", Institution = "Mathematics, Linkoping University", Address = "Sweden" } @Article{ EldS86, Author = "L. Eld{\`e}n and R. Schreiber", Year = 1986, Title = "An Application of Systolic Arrays to Linear Discrete Ill-Posed Problems", Journal = SIAMSciStat, Volume = 7, Pages = "892--903" } @Article{ Elm86, Author = "H. Elman", Year = 1986, Title = "A Stability Analysis of Incomplete {LU} Factorization", Journal = MathComp, Volume = 47, Pages = "191--218" } @Article{ ElsS82, Author = "L. Elsner and Guang Sun, J.", Year = 1982, Title = "Perturbation Theorems for the Generalized Eigenvalue Problem", Journal = LinAlgApp, Volume = 48, Pages = "341--357" } @InProceedings{ ElsR88, Author = "A. Elster and A.P. Reeves", Year = 1988, Title = "Block Matrix Operations Using Orthogonal Trees", BookTitle = "The Third Conference on Hypercube Concurrent Computers and Applications, Vol. {II}, Applications", Editor = "G. Fox", Publisher = ACMPress, Address = "New York", Pages = "1554--1561" } @Article{ Enr79, Author = "W. Enright", Year = 1979, Title = "On the Efficient and Reliable Numerical Solution of Large Linear Systems of {O.D.E.}'s", Journal = IEEETransAC, Volume = "AC-24", Pages = "905--908" } @Article{ Erd67, Author = "I. Erdelyi", Year = 1967, Title = "On the Matrix Equation {$Ax = \lambda Bx$}", Journal = MathAnaAppl, Volume = 17, Pages = "119--132" } @Article{ EriR80, Author = "T. Ericsson and A. Ruhe", Year = 1980, Title = "The Spectral Transformation {L}anczos Method for the Numerical Solution of Large Sparse Generalized Symmetric Eigenvalue Problems", Journal = MathComp, Volume = 35, Pages = "1251--1268" } @Article{ EriR74, Author = "A.M. Erisman and J.K. 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Henrici", Year = 1960, Title = "The Cyclic {J}acobi Method for Computing the Principal Values of a Complex Matrix", Journal = "Trans. Amer. Math. Soc.", Volume = 94, Pages = "1--23" } @Book{ ForMM77, Author = "G.E. Forsythe and M.A. Malcolm and C.B. Moler", Year = 1977, Title = "Computer Methods for Mathematical Computations", Publisher = PrenticeHall, Address = "Englewood Cliffs, NJ" } @Book{ ForM67, Author = "G.E. Forsythe and C.B. Moler", Year = 1967, Title = "Computer Solution of Linear Algebraic Systems", Publisher = PrenticeHall, Address = "Englewood Cliffs, NJ" } @Article{ Fos86, Author = "L.V. Foster", Year = 1986, Title = "Rank and Null Space Calculations Using Matrix Decomposition without Column Interchanges", Journal = LinAlgApp, Volume = 74, Pages = "47--71" } @Article{ Fou84, Author = "R. Fourer", Year = 1984, Title = "Staircase Matrices and Systems", Journal = SIAMReview, Volume = 26, Pages = "1--71" } @Book{ Fox64, Author = "L. Fox", Year = 1964, Title = "An Introduction to Numerical Linear Algebra", Publisher = OxfordPress, Address = "Oxford, England" } @Proceedings{ Fox88, Editor = "G. Fox", Year = 1988, Title = "Applications", Series = "The Third Conference on Hypercube Concurrent Computers and Applications", Volume = 2, Publisher = ACMPress, Address = "New York" } @Article{ FoxOH87, Author = "G. Fox and S.W. Otto and A.J. Hey", Year = 1987, Title = "Matrix Algorithms on a Hypercube {I}: Matrix Multiplication", Journal = ParComputing, Volume = 4, Pages = "17--31" } @Book{ FoxJL+88, Author = "G. Fox and M. Johnson and G. Lyzenga and S. Otto and J. Salmon and D. Walker", Year = 1988, Title = "On Concurrent Processors Vol {I}: General Techniques and Regular Problems", Publisher = PrenticeHall, Address = "Englewood Cliffs, NJ" } @Article{ Fra64a, Author = "J.S. Frame", Year = 1964, Title = "Matrix Functions and Applications, Part {II}", Journal = IEEESpec, Volume = 1, Month = apr, Pages = "102--108" } @Article{ Fra64b, Author = "J.S. Frame", Year = 1964, Title = "Matrix Functions and Applications, Part {IV}", Journal = IEEESpec, Volume = 1, Month = jun, Pages = "123--131" } @Article{ Fra61, Author = "J.G.F. Francis", Year = 1961, Title = "The {QR} Transformation: A Unitary Analogue to the {LR} Transformation, Parts~{I} and~{II}", Journal = CompJour, Volume = 4, Pages = "265-272, 332--345" } @Article{ Fri75, Author = "S. Friedland", Year = 1975, Title = "On Inverse Multiplicative Eigenvalue Problems for Matrices", Journal = LinAlgApp, Volume = 12, Pages = "127--138" } @Article{ Fri77, Author = "S. Friedland", Year = 1977, Title = "Inverse Eigenvalue Problems", Journal = LinAlgApp, Volume = 17, Pages = "15--52" } @Article{ FriNO87, Author = "S. Friedland and J. Nocedal and M.L. Overton", Year = 1987, Title = "The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems", Journal = SIAMNumAnal, Volume = 24, Pages = "634--667" } @Article{ Fro65, Author = "C.E. Froberg", Year = 1965, Title = "On Triangularization of Complex Matrices by Two-Dimen\-sional Unitary Transformations", Journal = BIT, Volume = 5, Pages = "230--234" } @Article{ FunG86, Author = "R.E. Funderlic and A. Geist", Year = 1986, Title = "Torus Data Flow for Parallel Computation of Missized Matrix Problems", Journal = LinAlgApp, Volume = 77, Pages = "149--164" } @Article{ FunNP82, Author = "R.E. Funderlic and M. Neuman and R.J. Plemmons", Year = 1982, Title = "Generalized Diagonally Dominant Matrices", Journal = NumerMath, Volume = 40, Pages = "57--70" } @Article{ GalP70, Author = "G. Galimberti and V. Pereyra", Year = 1970, Title = "Numerical Differentiation and the Solution of Multidimensional {V}andermonde Systems", Journal = MathComp, Volume = 24, Pages = "357--364" } @Article{ GalP71, Author = "G. Galimberti and V. Pereyra", Year = 1971, Title = "Solving Confluent {V}andermonde Systems of {H}ermite Type", Journal = NumerMath, Volume = 18, Pages = "44--60" } @Article{ GalJM87, Author = "K. Gallivan and W. Jalby and U. Meier", Year = 1987, Title = "The Use of {BLAS3} in Linear Algebra on a Parallel Processor with a Hierarchical Memory", Journal = SIAMSciStat, Volume = 8, Pages = "1079--1084" } @Article{ GalJMS88, Author = "K. Gallivan and W. Jalby and U. Meier and A.H. Sameh", Year = 1988, Title = "Impact of Hierarchical Memory Systems on Linear Algebra Algorithm Design", Journal = IntSuper, Volume = 2, Pages = "12--48" } @Article{ Gan81, Author = "W. Gander", Year = 1981, Title = "Least Squares with a Quadratic Constraint", Journal = NumerMath, Volume = 36, Pages = "291--307" } @Article{ GanR84, Author = "D. Gannon and Van Rosendale, J.", Year = 1984, Title = "On the Impact of Communication Complexity on the Design of Parallel Numerical Algorithms", Journal = IEEETransComp, Volume = "C-33", Pages = "1180--1194" } @Book{ Gan59a, Author = "F.R. Gantmacher", Year = 1959, Title = "The Theory of Matrices", Publisher = Chelsea, Address = "New York", Volume = 1, } @Book{ Gan59b, Author = "F.R. Gantmacher", Year = 1959, Title = "The Theory of Matrices", Publisher = Chelsea, Address = "New York", Volume = 2, } @Manual{ GarBDM72, Author = "B.S. Garbow and J.M. Boyle and J.J. Dongarra and C.B. Moler", Year = 1972, Title = "Matrix Eigensystem Routines: {EISPACK} Guide Extension", Publisher = Springer, Address = "New York" } @Article{ Gau75a, Author = "W. Gautschi", Year = 1975, Title = "Norm Estimates for Inverses of {V}andermonde Matrices", Journal = NumerMath, Volume = 23, Pages = "337--347" } @Article{ Gau75b, Author = "W. Gautschi", Year = 1975, Title = "Optimally Conditioned {V}andermonde Matrices", Journal = NumerMath, Volume = 24, Pages = "1--12" } @TechReport{ GeiH85, Author = "G.A. Geist and M.T. Heath", Year = 1985, Title = "Parallel {C}holesky Factorization on a Hypercube Multiprocessor", Number = "ORNL 6190", Institution = "Oak Ridge Laboratory", Address = "Oak Ridge, TN" } @InCollection{ GeiH86, Author = "G.A. Geist and M.T. Heath", Year = 1986, Title = "Matrix Factorization on a Hypercube", BookTitle = "Hypercube Multiprocessors", Editor = "M.T. Heath", Publisher = SIAMPub, Pages = "161--180" } @InProceedings{ GeiWDF88, Author = "G.A. Geist and R.C. Ward and G.J. Davis and R.E. Funderlic", Year = 1988, Title = "Finding Eigenvalues and Eigenvectors of Unsymmetric Matrices Using a Hypercube Multiprocessor", BookTitle = "The Third Conference on Hypercube Concurrent Computers and Applications, Vol. {II}, Applications", Editor = "G. Fox", Publisher = ACMPress, Address = "New York", Pages = "1577--1582" } @Article{ Gen73a, Author = "W.M. Gentleman", Year = 1973, Title = "Error Analysis of {QR} Decompositions by {G}ivens Transformations", Journal = LinAlgApp, Volume = 10, Pages = "189--197" } @Article{ Gen73b, Author = "W.M. Gentleman", Year = 1973, Title = "Least Squares Computations by {G}ivens Transformations Without Square Roots", Journal = InstMathApp, Volume = 12, Pages = "329--336" } @InProceedings{ GenK82, Author = "W.M. Gentleman and H.T. Kung", Year = 1982, Title = "Matrix Triangularization by Systolic Arrays", BookTitle = "{SPIE} Proceedings", Volume = 298, Pages = "19--26" } @Article{ Geo73, Author = "J.A. George", Year = 1973, Title = "Nested Dissection of a Regular Finite Element Mesh", Journal = SIAMNumAnal, Volume = 10, Pages = "345--363" } @Article{ Geo74, Author = "J.A. George", Year = 1974, Title = "On Block Elimination for Sparse Linear Systems", Journal = SIAMNumAnal, Volume = 11, Pages = "585--603" } @Article{ GeoH80, Author = "J.A. George and M.T. Heath", Year = 1980, Title = "Solution of Sparse Linear Least Squares Problems Using {G}ivens Rotations", Journal = LinAlgApp, Volume = 34, Pages = "69--83" } @Article{ GeoHL86, Author = "J.A. George and M.T. Heath and J. Liu", Year = 1986, Title = "Parallel {C}holesky Factorization on a Shared Memory Multiprocessor", Journal = LinAlgApp, Volume = 77, Pages = "165--187" } @Book{ GeoL81a, Author = "J.A. George and J.W. Liu", Year = 1981, Title = "Computer Solution of Large Sparse Positive Definite Systems", Publisher = PrenticeHall, Address = "Englewood Cliffs, NJ" } @Article{ GibWP74, Author = "N.E. Gibbs and W.G. Poole, Jr", Year = 1974, Title = "Tridiagonalization by Permutations", Journal = CACM, Volume = 17, Pages = "20--24" } @Article{ GibPS76b, Author = "N.E. Gibbs and W.G. Poole and P.K. Stockmeyer", Year = 1976, Title = "A Comparison of Several Bandwidth and Profile Reduction Algorithms", Journal = ACMMathSoft, Volume = 2, Pages = "322--330" } @Article{ GibPS76a, Author = "N.E. Gibbs and W.G. Poole and P.K. Stockmeyer", Year = 1976, Title = "An Algorithm for Reducing the Bandwidth and Profile of a Sparse Matrix", Journal = SIAMNumAnal, Volume = 13, Pages = "236--250" } @Article{ GilGMS74, Author = "P.E. Gill and G.H. Golub and W. Murray and M.A. Saunders", Year = 1974, Title = "Methods for Modifying Matrix Factorizations", Journal = MathComp, Volume = 28, Pages = "505--535" } @InCollection{ GilM76, Author = "P.E. Gill and W. Murray", Year = 1976, Title = "The Orthogonal Factorization of a Large Sparse Matrix", BookTitle = "Sparse Matrix Computations", Editor = "J.R. Bunch and D.J. Rose", Publisher = Academic, Address = "New York", Pages = "177--200" } @Article{ GilMS75, Author = "P.E. Gill and W. Murray and M.A. Saunders", Year = 1975, Title = "Methods for Computing and Modifying the {LDV} Factors of a Matrix", Journal = MathComp, Volume = 29, Pages = "1051--1077" } @InCollection{ Gin71, Author = "T. Ginsburg", Year = 1971, Title = "The Conjugate Gradient Method", BookTitle = "Handbook for Automatic Computation Vol. 2: Linear Algebra", Editor = "J.H. Wilkinson and C. Reinsch", Publisher = Springer, Address = "New York", Pages = "57--69" } @Article{ Giv58, Author = "W. Givens", Year = 1958, Title = "Computation of Plane Unitary Rotations Transforming a General Matrix to Triangular Form", Journal = SIAMAppMath, Volume = 6, Pages = "26--50" } @Book{ GohK69, Author = "I.C. Gohberg and M.G. Krein", Year = 1969, Title = "Introduction to the Theory of Linear Non-Self-Adjoint Operators", Publisher = AMS, Address = "Providence, RI" } @Book{ GohLR86, Author = "I.C. Gohberg and P. Lancaster and L. Rodman", Year = 1986, Title = "Invariant Subspaces of Matrices With Applications", Publisher = JohnWileySons, Address = "New York" } @Article{ GolH59, Author = "H.H. Goldstine and L.P. Horowitz", Year = 1959, Title = "A Procedure for the Diagonalization of Normal Matrices", Journal = JACM, Volume = 6, Pages = "176--195" } @Article{ Gol76, Author = "D. Goldfarb", Year = 1976, Title = "Factorized Variable Metric Methods for Unconstrained Optimization", Journal = MathComp, Volume = 30, Pages = "796--811" } @Article{ Gol65, Author = "G.H. Golub", Year = 1965, Title = "Numerical Methods for Solving Linear Least Squares Problems", Journal = NumerMath, Volume = 7, Pages = "206--216" } @InCollection{ Gol69, Author = "G.H. Golub", Year = 1969, Title = "Matrix Decompositions and Statistical Computation", BookTitle = "Statistical Computation", Editor = "R.C. Milton and J.A. Nelder", Publisher = Academic, Address = "New York", Pages = "365--397" } @Article{ Gol73, Author = "G.H. Golub", Year = 1973, Title = "Some Modified Matrix Eigenvalue Problems", Journal = SIAMReview, Volume = 15, Pages = "318--344" } @InCollection{ Gol74, Author = "G.H. Golub", Year = 1974, Title = "Some Uses of the {L}anczos Algorithm in Numerical Linear Algebra", BookTitle = "Topics in Numerical Analysis", Editor = "J.J.H. Miller", Publisher = Academic, Address = "New York" } @Article{ GolHW79, Author = "G.H. Golub and M. Heath and G. Wahba", Year = 1979, Title = "Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter", Journal = Techno, Volume = 21, Pages = "215--223" } @Article{ GolHS88, Author = "G.H. Golub and A. Hoffman and G.W. Stewart", Year = 1988, Title = "A Generalization of the {E}ckart-{Y}oung-{M}irsky Approximation Theorem", Journal = LinAlgApp, Volume = "88/89", Pages = "317--328" } @Article{ GolK65, Author = "G.H. Golub and W. Kahan", Year = 1965, Title = "Calculating the Singular Values and Pseudo-Inverse of a Matrix", Journal = JSIAMB, Volume = 2, Pages = "205--224" } @TechReport{ GolKS76, Author = "G.H. Golub and V. Klema and G.W. Stewart", Year = 1976, Title = "Rank Degeneracy and Least Squares Problems", Number = "TR-456", Institution = "Computer Science, University of Maryland", Address = "College Park, MD" } @Article{ GolLO81, Author = "G.H. Golub and F.T. Luk and M. Overton", Year = 1981, Title = "A Block {L}anczos Method for Computing the Singular Values and Corresponding Singular Vectors of a Matrix", Journal = ACMMathSoft, Volume = 7, Pages = "149--169" } @Book{ GolM83, Author = "G.H. Golub and G. Meurant", Year = 1983, Title = "R{\'e}solution Num{\'e}rique des Grands Syst{\`e}mes Lin{\'e}aires", Series = "Collection de la Direction des Etudes et Recherches de l'Electricit\'e de France", Volume = 49, Publisher = Eyolles, Address = "Paris" } @Article{ GolM86, Author = "G.H. Golub and C.D. Meyer", Year = 1986, Title = "Using the {QR} Factorization and Group Inversion to Compute, Differentiate, and estimate the Sensitivity of Stationary Probabilities for {M}arkov Chains", Journal = SIAMAlgMeth, Volume = 7, Pages = "273--281" } @Article{ GolNL79, Author = "G.H. Golub and S. Nash and Van Loan, C.", Year = 1979, Title = "A {H}essenberg-{S}chur Method for the Matrix Problem {$AX + XB = C$}", Journal = IEEETransAC, Volume = "AC-24", Pages = "909--913" } @Article{ GolO88, Author = "G.H. Golub and M. Overton", Year = 1988, Title = "The Convergence of Inexact {C}hebychev and {R}ichardson Iterative Methods for Solving Linear Systems", Journal = NumerMath, Volume = 53, Pages = "571--594" } @Article{ GolP73, Author = "G.H. Golub and V. Pereyra", Year = 1973, Title = "The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate", Journal = SIAMNumAnal, Volume = 10, Pages = "413--432" } @InCollection{ GolP76, Author = "G.H. Golub and V. Pereyra", Year = 1976, Title = "Differentiation of Pseudo-Inverses, Separable Nonlinear Least Squares Problems and Other Tales", BookTitle = "Generalized Inverses and Applications", Editor = "M.Z. Nashed", Publisher = Academic, Address = "New York", Pages = "303--324" } @Article{ GolR70, Author = "G.H. Golub and C. Reinsch", Year = 1970, Title = "Singular Value Decomposition and Least Squares Solutions", Journal = NumerMath, Volume = 14, Pages = "403-420", Note = "Also in \cite[pages 134--151]{WilR71}" } @Article{ GolT81, Author = "G.H. Golub and W.P. Tang", Year = 1981, Title = "The Block Decomposition of a {V}andermonde Matrix and Its Applications", Journal = BIT, Volume = 21, Pages = "505--517" } @Article{ GolU70, Author = "G.H. Golub and R. Underwood", Year = 1970, Title = "Stationary Values of the Ratio of Quadratic Forms Subject to Linear Constraints", Journal = ZAngewMathPhys, Volume = 21, Pages = "318--326" } @InCollection{ GolU77, Author = "G.H. Golub and R. Underwood", Year = 1977, Title = "The Block {L}anczos Method for Computing Eigenvalues", BookTitle = "Mathematical Software {III}", Editor = "J. Rice", Publisher = Academic, Address = "New York", Pages = "364--377" } @TechReport{ GolUW72, Author = "G.H. Golub and R. Underwood and J.H. Wilkinson", Year = 1972, Title = "The {L}anczos Algorithm for the Symmetric {$Ax = \lambda Bx$} Problem", Number = "STAN-CS-72-270", Institution = "Computer Science, Stanford University", Address = "Stanford, CA" } @Article{ GolL79, Author = "G.H. Golub and Van Loan, C.F.", Year = 1979, Title = "Unsymmetric Positive Definite Linear Systems", Journal = LinAlgApp, Volume = 28, Pages = "85--98" } @Article{ GolL80, Author = "G.H. Golub and Van Loan, C.F.", Year = 1980, Title = "An Analysis of the Total Least Squares Problem", Journal = SIAMNumAnal, Volume = 17, Pages = "883--893" } @Book{ GolL89, Author = "G.H. Golub and Van Loan, C.F.", Year = 1989, Title = "Matrix Computations", Edition = "second", Publisher = JohnsHopkinsPress, Address = "Baltimore, MD" } @Article{ GolV74, Author = "G.H. Golub and J.M. Varah", Year = 1974, Title = "On a Characterization of the Best {$L_{2}$}-Scaling of a Matrix", Journal = SIAMNumAnal, Volume = 11, Pages = "472--479" } @Article{ GolV61, Author = "G.H. Golub and R.S. Varga", Year = 1961, Title = "{C}hebychev Semi-Iterative Methods, Successive Over-Relaxation Iterative Methods, and Second-Order {R}ichardson Iterative Methods, Parts {I} and {II}", Journal = NumerMath, Volume = 3, Pages = "147--156, 157--168" } @Article{ GolW69, Author = "G.H. Golub and J.H. Welsch", Year = 1969, Title = "Calculation of {G}auss Quadrature Rules", Journal = MathComp, Volume = 23, Pages = "221--230" } @Article{ GolW66, Author = "G.H. Golub and J.H. Wilkinson", Year = 1966, Title = "Note on the Iterative Refinement of Least Squares Solution", Journal = NumerMath, Volume = 9, Pages = "139--148" } @Article{ GolW76, Author = "G.H. Golub and J.H. Wilkinson", Year = 1976, Title = "Ill-Conditioned Eigensystems and the Computation of the {J}ordan Canonical Form", Journal = SIAMReview, Volume = 18, Pages = "578--619" } @Article{ Gou70, Author = "A.R. Gourlay", Year = 1970, Title = "Generalization of Elementary {H}ermitian Matrices", Journal = CompJour, Volume = 13, Pages = "411--412" } @Article{ Gra86, Author = "W. B. Gragg", Year = 1986, Title = "The {QR} Algorithm for Unitary {H}essenberg Matrices", Journal = CompApplMath, Volume = 16, Pages = "1--8" } @Article{ GraH84, Author = "W.B. Gragg and W.J. Harrod", Year = 1984, Title = "The Numerically Stable Reconstruction of {J}acobi Matrices from Spectral Data", Journal = NumerMath, Volume = 44, Pages = "317--336" } @Article{ Gre52, Author = "B. Green", Year = 1952, Title = "The Orthogonal Approximation of an Oblique Structure in Factor Analysis", Journal = Psychometrika, Volume = 17, Pages = "429--440" } @TechReport{ Gre81, Author = "A. Greenbaum", Year = 1981, Title = "Behavior of the Conjugate Gradient Algorithm in Finite Precision Arithmetic", Number = "UCRL 85752", Institution = "Lawrence Livermore Laboratory", Address = "Livermore, CA" } @Article{ GriL81b, Author = "R.G. Grimes and J.G. Lewis", Year = 1981, Title = "Condition Number Estimation for Sparse Matrices", Journal = SIAMSciStat, Volume = 2, Pages = "384--388" } @Article{ GunWM76, Author = "R.F. Gunst and J.T. Webster and R.L. Mason", Year = 1976, Title = "A Comparison of Least Squares and Latent Root Regression Estimators", Journal = Techno, Volume = 18, Pages = "75--83" } @Article{ Gup72, Author = "K.K. Gupta", Year = 1972, Title = "Solution of Eigenvalue Problems by {S}turm Sequence Method", Journal = IntNumerEng, Volume = 4, Pages = "379--404" } @Book{ HagY81, Author = "L.A. Hageman and D.M. Young", Year = 1981, Title = "Applied Iterative Methods", Publisher = Academic, Address = "New York" } @Article{ Hag84, Author = "W. Hager", Year = 1984, Title = "Condition Estimates", Journal = SIAMSciStat, Volume = 5, Pages = "311--316" } @Book{ Hag88, Author = "W. Hager", Year = 1988, Title = "Applied Numerical Linear Algebra", Publisher = PrenticeHall, Address = "Englewood Cliffs, NJ" } @Book{ Hal58, Author = "P. Halmos", Year = 1958, Title = "Finite Dimensional Vector Spaces", Publisher = VanNostrand, Address = "New York" } @Article{ Ham74, Author = "S. Hammarling", Year = 1974, Title = "A Note on Modifications to the {G}ivens Plane Rotation", Journal = InstMathApp, Volume = 13, Pages = "215--218" } @Article{ Ham85, Author = "S.J. Hammarling", Year = 1985, Title = "The Singular Value Decomposition in Multivariate Statistics", Journal = SIGNUM, Volume = 20, Pages = "2--25" } @Article{ Han62, Author = "E.R. Hansen", Year = 1962, Title = "On Quasicyclic {J}acobi Methods", Journal = JACM, Volume = 9, Pages = "118--135" } @Article{ Han63, Author = "E.R. Hanson", Year = 1963, Title = "On Cyclic {J}acobi Methods", Journal = SIAMAppMath, Volume = 11, Pages = "448--459" } @Article{ Han87, Author = "P.C. Hansen", Year = 1987, Title = "The Truncated {SVD} as a Method for Regularization", Journal = BIT, Volume = 27, Pages = "534--553" } @InCollection{ Han88, Author = "P.C. Hansen", Year = 1988, Title = "Reducing the Number of Sweeps in {H}estenes Method", BookTitle = "Singular Value Decomposition and Signal Processing", Editor = "E.F. Deprettere", Publisher = NorthHolland } @Article{ HanL69, Author = "R.J. Hanson and C.L. Lawson", Year = 1969, Title = "Extensions and Applications of the {H}ouseholder Algorithm for Solving Linear Least Squares Problems", Journal = MathComp, Volume = 23, Pages = "787--812" } @Article{ HanN81, Author = "R.J. Hanson and M.J. Norris", Year = 1981, Title = "Analysis of Measurements Based on the Singular Value Decomposition", Journal = SIAMSciStat, Volume = 2, Pages = "363--374" } @Article{ Har82, Author = "V. Hari", Year = 1982, Title = "On the Global Convergence of the {E}berlein Method for Real Matrices", Journal = NumerMath, Volume = 39, Pages = "361--370" } @PhDThesis{ Hea78, Author = "M.T. Heath", Year = 1978, Title = "Numerical Algorithms for Nonlinearly Constrained Optimization", Number = "STAN-CS-78-656", School = "Computer Science, Stanford University", Address = "Stanford, CA" } @Proceedings{ Hea86, Editor = "M.T. Heath", Year = 1986, Title = "Proceedings of First {SIAM} Conference on Hypercube Multiprocessors", Publisher = SIAMPub, Address = "Philadelphia, PA" } @Proceedings{ Hea87, Editor = "M.T. Heath", Year = 1987, Title = "Hypercube Multiprocessors", Publisher = SIAMPub, Address = "Philadelphia, PA" } @Article{ HeaLPW86, Author = "M.T. Heath and A.J. Laub and C.C. Paige and R.C. Ward", Year = 1986, Title = "Computing the {SVD} of a Product of Two Matrices", Journal = SIAMSciStat, Volume = 7, Pages = "1147--1159" } @Article{ HeaR88, Author = "M.T. Heath and C.H. Romine", Year = 1988, Title = "Parallel Solution of Triangular Systems on Distributed Memory Multiprocessors", Journal = SIAMSciStat, Volume = 9, Pages = "558--588" } @Article{ HeaS86, Author = "M.T. Heath and D.C. Sorensen", Year = 1986, Title = "A Pipelined Method for Computing the {QR} Factorization of a Sparse Matrix", Journal = LinAlgApp, Volume = 77, Pages = "189--203" } @Article{ Hel76, Author = "D. Heller", Year = 1976, Title = "Some Aspects of the Cyclic Reduction Algorithm for Block Tridiagonal Linear Systems", Journal = SIAMNumAnal, Volume = 13, Pages = "484--496" } @Article{ Hel78, Author = "D. Heller", Year = 1978, Title = "A Survey of Parallel Algorithms in Numerical Linear Algebra", Journal = SIAMReview, Volume = 20, Pages = "740--777" } @Article{ HelI83, Author = "D.E. Heller and I.C.F. Ipsen", Year = 1983, Title = "Systolic Networks for Orthogonal Decompositions", Journal = SIAMSciStat, Volume = 4, Pages = "261--269" } @Article{ Hel68, Author = "B.W. Helton", Year = 1968, Title = "Logarithms of Matrices", Journal = ProcAMS, Volume = 19, Pages = "733--736" } @InProceedings{ HenHP88, Author = "C.S. Henkel and M.T. Heath and R.J. Plemmons", Year = 1988, Title = "{C}holesky Downdating on a Hypercube", BookTitle = "The Third Conference on Hypercube Concurrent Computers and Applications, Vol. {II}, Applications", Editor = "G. Fox", Publisher = ACMPress, Address = "New York", Pages = "1592--1598" } @Article{ Hen58, Author = "P. Henrici", Year = 1958, Title = "On the Speed of Convergence of Cyclic and Quasicyclic {J}acobi Methods for Computing the Eigenvalues of of {H}ermitian Matrices", Journal = SIAMAppMath, Volume = 6, Pages = "144--162" } @Article{ Hen62, Author = "P. Henrici", Year = 1962, Title = "Bounds for Iterates, Inverses, Spectral Variation, and Fields of Values of Non-Normal Matrices", Journal = NumerMath, Volume = 4, Pages = "24--40" } @Article{ HenZ68, Author = "P. Henrici and K. Zimmermann", Year = 1968, Title = "An Estimate for the Norms of Certain cyclic {J}acobi Operators", Journal = LinAlgApp, Volume = 1, Pages = "489--501" } @Book{ Hes80, Author = "M.R. Hestenes", Year = 1980, Title = "Conjugate Direction Methods in Optimization", Publisher = Springer, Address = "Berlin" } @Article{ HesS52, Author = "M.R. Hestenes and E. Stiefel", Year = 1952, Title = "Methods of Conjugate Gradients for Solving Linear Systems", Journal = JResNatBurStand, Volume = 49, Pages = "409--436" } @PhDThesis{ Hig85, Author = "N.J. Higham", Year = 1985, Title = "Nearness Problems in Numerical Linear Algebra", School = "University of Manchester", Address = "England" } @Article{ Hig86c, Author = "N.J. Higham", Year = 1986, Title = "{N}ewton's Method for the Matrix Square Root", Journal = MathComp, Volume = 46, Pages = "537--550" } @Article{ Hig86a, Author = "N.J. Higham", Year = 1986, Title = "Computing the Polar Decomposition with Applications", Journal = SIAMSciStat, Volume = 7, Pages = "1160--1174" } @Article{ Hig86b, Author = "N.J. Higham", Year = 1986, Title = "Efficient Algorithms for computing the condition number of a tridiagonal matrix", Journal = SIAMSciStat, Volume = 7, Pages = "150--165" } @Article{ Hig87c, Author = "N.J. Higham", Year = 1987, Title = "A Survey of Condition Number Estimation for Triangular Matrices", Journal = SIAMReview, Volume = 29, Pages = "575--596" } @Article{ Hig87b, Author = "N.J. Higham", Year = 1987, Title = "Error Analysis of the {B}j{\"o}rck-{P}ereyra Algorithms for Solving {V}andermonde Systems", Journal = NumerMath, Volume = 50, Pages = "613--632" } @Article{ Hig87a, Author = "N.J. Higham", Year = 1987, Title = "Computing Real Square Roots of a Real Matrix", Journal = LinAlgApp, Volume = "88/89", Pages = "405--430" } @TechReport{ Hig88f, Author = "N.J. Higham", Year = 1988, Title = "Matrix Nearness Problems and Applications", Number = 161, Institution = "Mathematics, University of Manchester", Address = "England", Note = "To appear in Proceedings of the IMA Conference on Applications of Matrix Theory, eds. S. Barnett and M.J.C. Gover" } @Article{ Hig88e, Author = "N.J. Higham", Year = 1988, Title = "{F}ortran Codes for Estimating the One-Norm of a Real or Complex Matrix, with Applications to Condition Estimation", Journal = ACMMathSoft, Volume = 14, Pages = "381--396" } @Article{ Hig88d, Author = "N.J. Higham", Year = 1988, Title = "The Symmetric {P}rocrustes Problem", Journal = BIT, Volume = 28, Pages = "133--143" } @Article{ Hig88c, Author = "N.J. Higham", Year = 1988, Title = "Fast Solution of {V}andermonde-like Systems Involving Orthogonal Polynomials", Journal = IMANumerAna, Volume = 8, Pages = "473--486" } @Article{ Hig88b, Author = "N.J. Higham", Year = 1988, Title = "Computing a Nearest Symmetric Positive Semidefinite Matrix", Journal = LinAlgApp, Volume = 103, Pages = "103--118" } @TechReport{ Hig88a, Author = "N.J. Higham", Year = 1988, Title = "The Accuracy of Solutions to Triangular Systems", Number = 158, Institution = "Mathematics, University of Manchester", Address = "England" } @InCollection{ Hig89, Author = "N.J. Higham", Year = 1989, Title = "Analysis of the {C}holesky Decomposition of a Semi-definite Matrix", BookTitle = "Reliable Numerical Computation", Editor = "M.G. Cox and S.J. Hammarling", Publisher = OxfordPress } @Article{ HigH89, Author = "N.J. Higham and D.J. Higham", Year = 1989, Title = "Large Growth Factors in {G}aussian Elimination with Pivoting", Journal = SIAMMatrix, Volume = 10, Pages = "155--164" } @TechReport{ HigS88, Author = "N.J. Higham and R.S. Schreiber", Year = 1988, Title = "Fast Polar Decomposition of an Arbitrary Matrix", Number = "88-942", Institution = "Computer Science, Cornell University", Address = "Ithaca, NY 14853" } @InCollection{ Hoa77, Author = "D. Hoaglin", Year = 1977, Title = "Mathematical Software and Exploratory Data Analysis", BookTitle = "Mathematical Software {III}", Editor = "John Rice", Publisher = Academic, Address = "New York", Pages = "139--159" } @Article{ Hoc65, Author = "R.W. Hockney", Year = 1965, Title = "A Fast Direct Solution of {P}oisson's Equation Using {F}ourier Analysis", Journal = JACM, Volume = 12, Pages = "95--113" } @Article{ Hoc83, Author = "R. Hockney", Year = 1983, Title = "Characterizing Computers and Optimizing the {FACR($\ell$)} {P}oisson Solver on Parallel Unicomputers", Journal = IEEETransComp, Volume = "C-32", Pages = "933--941" } @Book{ HocJ88, Author = "R.W. Hockney and C.R. Jesshope", Year = 1988, Title = "Parallel Computers 2", Publisher = AdamHilger, Address = "Bristol and Philadelphia" } @Article{ HofP78, Author = "W. Hoffmann and B.N. Parlett", Year = 1978, Title = "A New Proof of Global Convergence for the Tridiagonal {QL} Algorithm", Journal = SIAMNumAnal, Volume = 15, Pages = "929--937" } @Article{ Hot57, Author = "H. Hotelling", Year = 1957, Title = "The Relations of the Newer Multivariate Statistical Methods to Factor Analysis", Journal = BritStatPsych, Volume = 10, Pages = "69--79" } @Article{ Hou58, Author = "A.S. Householder", Year = 1958, Title = "Unitary Triangularization of a Nonsymmetric Matrix", Journal = JACM, Volume = 5, Pages = "339--342" } @Article{ Hou68, Author = "A.S. Householder", Year = 1968, Title = "Moments and Characteristic Roots {II}", Journal = NumerMath, Volume = 11, Pages = "126--128" } @Book{ Hou74, Author = "A.S. Householder", Year = 1974, Title = "The Theory of Matrices in Numerical Analysis", Publisher = DoverPub, Address = "New York" } @Article{ Hua75, Author = "C.P. Huang", Year = 1975, Title = "A {J}acobi-Type Method for Triangularizing an Arbitrary Matrix", Journal = SIAMNumAnal, Volume = 12, Pages = "566--570" } @Article{ Hua81, Author = "C.P. Huang", Year = 1981, Title = "On the Convergence of the {QR} Algorithm with Origin Shifts for Normal Matrices", Journal = IMANumerAna, Volume = 1, Pages = "127--133" } @Article{ HulS66, Author = "T.E. Hull and J.R. Swenson", Year = 1966, Title = "Tests of Probabilistic Models for Propagation of Roundoff Errors", Journal = CACM, Volume = 9, Pages = "108--113" } @Article{ Ike79, Author = "Y. Ikebe", Year = 1979, Title = "On Inverses of {H}essenberg Matrices", Journal = LinAlgApp, Volume = 24, Pages = "93--97" } @Article{ IpsSS86, Author = "I.C.F. Ipsen and Y. Saad and M. Schultz", Year = 1986, Title = "Dense Linear Systems on a Ring of Processors", Journal = LinAlgApp, Volume = 77, Pages = "205--239" } @Book{ IseP87, Editor = "A. Iserles and M.J.D. Powell", Year = 1987, Title = "The State of the Art in Numerical Analysis", Publisher = OxfordPress } @Article{ Jac46, Author = "C.G.J. Jacobi", Year = 1846, Title = "{\"U}ber ein leichtes Verfahren die in der Theorie der S{\"a}cul{\"a}rst{\"o}rungen vorkommenden Gleichungen numerisch aufzul{\"o}sen", Journal = Crelle, Volume = 30, Pages = "51--94" } @Article{ JanW77, Author = "M. Jankowski and M. Wozniakowski", Year = 1977, Title = "Iterative Refinement Implies Numerical Stability", Journal = BIT, Volume = 17, Pages = "303--311" } @Article{ JeaY83, Author = "K.C. Jea and D.M. Young", Year = 1983, Title = "On the Simplification of Generalized Conjugate Gradient Methods for Nonsymmetrizable Linear Systems", Journal = LinAlgApp, Volume = "52/53", Pages = "399--417" } @Article{ Jen77a, Author = "A. Jennings", Year = 1977, Title = "Influence of the Eigenvalue Spectrum on the Convergence Rate of the Conjugate Gradient Method", Journal = InstMathApp, Volume = 20, Pages = "61--72" } @Book{ Jen77b, Author = "A. Jennings", Year = 1977, Title = "Matrix Computation for Engineers and Scientists", Publisher = JohnWileySons, Address = "New York" } @Article{ JenO71, Author = "A. Jennings and D.R.L. Orr", Year = 1971, Title = "Application of the Simultaneous Iteration Method to Undamped Vibration Problems", Journal = IntNumerEng, Volume = 3, Pages = "13--24" } @Article{ JenO77, Author = "A. Jennings and M.R. Osborne", Year = 1977, Title = "Generalized Eigenvalue Problems for Certain Unsymmetric Band Matrices", Journal = LinAlgApp, Volume = 29, Pages = "139--150" } @Article{ JenS75, Author = "A. Jennings and W.J. Stewart", Year = 1975, Title = "Simultaneous Iteration for the Partial Eigensolution of Real Matrices", Journal = InstMathApp, Volume = 15, Pages = "351--362" } @Article{ JenO74, Author = "L.S. Jennings and M.R. Osborne", Year = 1974, Title = "A Direct Error Analysis for Least Squares", Journal = NumerMath, Volume = 22, Pages = "322--332" } @Article{ Jen72, Author = "P.S. Jenson", Year = 1972, Title = "The Solution of Large Symmetric Eigenproblems by Sectioning", Journal = SIAMNumAnal, Volume = 9, Pages = "534--545" } @Article{ JohP71, Author = "J. Johnson and C.L. Phillips", Year = 1971, Title = "An Algorithm for the Computation of the Integral of the State Transition Matrix", Journal = IEEETransAC, Volume = "AC-16", Pages = "204--205" } @Article{ JohMP83, Author = "O.G. Johnson and C.A. Micchelli and G. Paul", Year = 1983, Title = "Polynomial Preconditioners for Conjugate Gradient Calculations", Journal = SIAMNumAnal, Volume = 20, Pages = "362--376" } @TechReport{ Joh84, Author = "S.L. Johnsson", Year = 1984, Title = "Odd-Even Cyclic Reduction on Ensemble Architectures and the Solution of Tridiagonal Systems of Equations", Number = "YALEU DCS RR-339", Institution = "Computer Science, Yale University", Address = "New Haven, CT" } @Article{ Joh85, Author = "S.L. Johnsson", Year = 1985, Title = "Solving Narrow Banded Systems on Ensemble Architectures", Journal = ACMMathSoft, Volume = 11, Pages = "271--288" } @InCollection{ Joh86, Author = "S.L. Johnsson", Year = 1986, Title = "Band Matrix System Solvers on Ensemble Architectures", BookTitle = "Supercomputers: Algorithms, Architectures, and Scientific Computation", Editor = "F.A. Matsen and T. Tajima", Publisher = TexasPress, Address = "Austin, TX", Pages = "196--216" } @Article{ Joh87b, Author = "S.L. Johnsson", Year = 1987, Title = "Solving Tridiagonal Systems on Ensemble Architectures", Journal = SIAMSciStat, Volume = 8, Pages = "354--392" } @Article{ Joh87a, Author = "S.L. Johnsson", Year = 1987, Title = "Communication Efficient Basic Linear Algebra Computations on Hypercube Multiprocessors", Journal = ParDistComp, Volume = 4, Pages = "133--172" } @TechReport{ JohH87c, Author = "S.L. Johnsson and C.T. Ho", Year = 1987, Title = "Multiple Tridiagonal Systems, the Alternating Direction Methods, and {B}oolean Cube Configured Multiprocessors", Number = "YALEU DCS RR-532", Institution = "Computer Science, Yale University", Address = "New Haven, CT" } @TechReport{ JohH87, Author = "S.L. Johnsson and C.T. Ho", Year = 1987, Title = "Algorithms for Multiplying Matrices of Arbitrary Shapes Using Shared Memory Primatives on a {B}oolean Cube", Number = "YALEU DCS RR-569", Institution = "Computer Science, Yale University", Address = "New Haven, CT" } @Article{ JohH88, Author = "S.L. Johnsson and C.T. Ho", Year = 1988, Title = "Algorithms for Matrix Transposition on {B}oolean {$N$}-Cube Configured Ensemble Architectures", Journal = SIAMMatrix, Volume = 9, Pages = "419--454" } @Article{ Joh71, Author = "R.L. Johnston", Year = 1971, Title = "{G}ershgorin Theorems for Partitioned Matrices", Journal = LinAlgApp, Volume = 4, Pages = "205--220" } @Article{ Jor87, Author = "H. Jordan", Year = 1987, Title = "Interpreting Parallel Processor Performance Measurements", Journal = SIAMSciStat, Volume = 8, Pages = "s220--s226" } @InProceedings{ Jor84, Author = "T. Jordan", Year = 1984, Title = "Conjugate Gradient Preconditioners for Vector and Parallel Processors", BookTitle = "Proceedings of the Conference on Elliptic Problem Solvers", Editor = "G. Birkoff and A. Schoenstadt", Publisher = Academic, Address = "New York" } @Article{ Kag77a, Author = "B. K{\aa}gstr{\"o}m", Year = 1977, Title = "Bounds and Perturbation Bounds for the Matrix Exponential", Journal = BIT, Volume = 17, Pages = "39--57" } @TechReport{ Kag77b, Author = "B. K{\aa}gstr{\"o}m", Year = 1977, Title = "Numerical Computation of Matrix Functions", Number = "UMINF-58.77", Institution = "Information Processing, University of Ume{\aa}", Address = "Ume{\aa}, Sweden" } @Article{ KagR80b, Author = "B. K{\aa}gstr{\"o}m and A. Ruhe", Year = 1980, Title = "An Algorithm for Numerical Computation of the {J}ordan Normal Form of a Complex Matrix", Journal = ACMMathSoft, Volume = 6, Pages = "398--419" } @Article{ KagR80a, Author = "B. K{\aa}gstr{\"o}m and A. Ruhe", Year = 1980, Title = "Algorithm~560~{JNF}: An Algorithm for Numerical Computation of the {J}ordan Normal Form of a Complex Matrix", Journal = ACMMathSoft, Volume = 6, Pages = "437--443" } @Article{ Kag85, Author = "B. K{\aa}gstr{\"o}m", Year = 1985, Title = "The Generalized Singular Value Decomposition and the General {$A - \lambda B$} Problem", Journal = BIT, Volume = 24, Pages = "568--583" } @Article{ Kag86, Author = "B. K{\aa}gstr{\"o}m", Year = 1986, Title = "{RGSVD}: An Algorithm for Computing the {K}ronecker Structure and Reducing Subspaces of Singular {$A - \lambda B$} Pencils", Journal = SIAMSciStat, Volume = 7, Pages = "185--211" } @TechReport{ KagL88, Author = "B. K{\aa}gstr{\"o}m and P. Ling", Year = 1988, Title = "Level 2 and 3 {BLAS} Routines for the {IBM 3090 VF/400}: Implementation and Experiences", Number = "UMINF-154.88", Institution = "Information Processing, University of Ume{\aa}", Address = "S-901 87 Ume{\aa}, Sweden" } @TechReport{ KagNP87, Author = "B. K{\aa}gstr{\"o}m and L. Nystr{\"o}m and P. Poromaa", Year = 1987, Title = "Parallel Algorithms for Solving the Triangular {S}ylvester Equation on a Hypercube Multiprocessor", Number = "UMINF-136.87", Institution = "Information Processing, University of Ume{\aa}", Address = "S-901 87 Ume{\aa}, Sweden" } @TechReport{ KagNP88, Author = "B. K{\aa}gstr{\"o}m and L. Nystr{\"o}m and P. Poromaa", Year = 1988, Title = "Parallel Shared Memory Algorithms for Solving the Triangular {S}ylvester Equation", Number = "UMINF-155.88", Institution = "Information Processing, University of Ume{\aa}", Address = "S-901 87 Ume{\aa}, Sweden" } @Proceedings{ KagR83, Editor = "B. K{\aa}gstr{\"o}m and A. Ruhe", Year = 1983, Title = "Proceedings of the Conference on Matrix Pencils, {P}ite {H}avsbad 1982", Series = "Lecture Notes in Mathematics", Volume = 973, Publisher = Springer, Address = "New York and Berlin" } @TechReport{ KagW87, Author = "B. K{\aa}gstr{\"o}m and L. Westin", Year = 1987, Title = "{GSYLV}- {F}ortran Routines for the Generalized {S}chur Method with dif$^{-1}$ estimators for Solving the Generalized {S}ylvester Equation", Number = "UMINF-132.86", Institution = "Information Processing, University of Ume{\aa}", Address = "S-901 87 Ume{\aa}, Sweden" } @Article{ Kah66, Author = "W. Kahan", Year = 1966, Title = "Numerical Linear Algebra", Journal = CanMathBull, Volume = 9, Pages = "757--801" } @TechReport{ Kah67, Author = "W. Kahan", Year = 1967, Title = "Inclusion Theorems for Clusters of Eigenvalues of {H}ermitian Matrices", Type = "report", Institution = "Computer Science, University of Toronto", Address = "Toronto, Canada" } @Article{ Kah75, Author = "W. Kahan", Year = 1975, Title = "Spectra of Nearly {H}ermitian Matrices", Journal = ProcAMS, Volume = 48, Pages = "11--17" } @TechReport{ KahP74, Author = "W. Kahan and B.N. Parlett", Year = 1974, Title = "An Analysis of {L}anczos Algorithms for Symmetric Matrices", Number = "ERL-M467", Institution = "University of California, Berkeley", Address = "Berkeley, CA" } @InCollection{ KahP76, Author = "W. Kahan and B.N. Parlett", Year = 1976, Title = "How Far Should You Go with the {L}anczos Process?", BookTitle = "Sparse Matrix Computations", Editor = "J. Bunch and D. Rose", Publisher = Academic, Address = "New York", Pages = "131--144" } @Article{ KahPJ82, Author = "W. Kahan and B.N. Parlett and E. Jiang", Year = 1982, Title = "Residual Bounds on Approximate Eigensystems of Nonnormal Matrices", Journal = SIAMNumAnal, Volume = 19, Pages = "470--484" } @Book{ KahMN88, Author = "D. Kahaner and C.B. Moler and S. Nash", Year = 1988, Title = "Numerical Methods and Software", Publisher = PrenticeHall, Address = "Englewood Cliffs, NJ" } @Article{ Kan66, Author = "S. Kaniel", Year = 1966, Title = "Estimates for Some Computational Techniques in Linear Algebra", Journal = MathComp, Volume = 20, Pages = "369--378" } @Article{ KapB84, Author = "R.N. Kapur and J.C. Browne", Year = 1984, Title = "Techniques for Solving Block Tridiagonal Systems on Reconfigurable Array Computers", Journal = SIAMSciStat, Volume = 5, Pages = "701--719" } @Article{ Kar74, Author = "I. Karasalo", Year = 1974, Title = "A Criterion for Truncation of the {QR} Decomposition Algorithm for the Singular Linear Least Squares Problem", Journal = BIT, Volume = 14, Pages = "156--166" } @Book{ Kat66, Author = "T. Kato", Year = 1966, Title = "Perturbation Theory for Linear Operators", Publisher = Springer, Address = "New York, NY" } @Article{ Kau74, Author = "L. Kaufman", Year = 1974, Title = "The {LZ} Algorithm to Solve the Generalized Eigenvalue Problem", Journal = SIAMNumAnal, Volume = 11, Pages = "997--1024" } @Article{ Kau77, Author = "L. Kaufman", Year = 1977, Title = "Some Thoughts on the {QZ} Algorithm for Solving the Generalized Eigenvalue Problem", Journal = ACMMathSoft, Volume = 3, Pages = "65--75" } @Article{ Kau79, Author = "L. Kaufman", Year = 1979, Title = "Application of Dense {H}ouseholder Transformations to a Sparse Matrix", Journal = ACMMathSoft, Volume = 5, Pages = "442--450" } @Article{ Kau83, Author = "L. Kaufman", Year = 1983, Title = "Matrix Methods for Queueing Problems", Journal = SIAMSciStat, Volume = 4, Pages = "525--552" } @Article{ Kau87, Author = "L. Kaufman", Year = 1987, Title = "The Generalized {H}ouseholder Transformation and Sparse Matrices", Journal = LinAlgApp, Volume = 90, Pages = "221--234" } @Article{ KauG83, Author = "J. Kautsky and G.H. Golub", Year = 1983, Title = "On the Calculation of {J}acobi Matrices", Journal = LinAlgApp, Volume = "52/53", Pages = "439--456" } @InCollection{ Ker82, Author = "D. Kershaw", Year = 1982, Title = "Solution of Single Tridiagonal Linear Systems and Vectorization of the {ICCG} Algorithm on the {C}ray-1", BookTitle = "Parallel Computation", Editor = "G. Roderigue", Publisher = Academic, Address = "New York" } @Article{ Kie87, Author = "A. Kielbasinski", Year = 1987, Title = "A Note on Rounding Error Analysis of {C}holesky Factorization", Journal = LinAlgApp, Volume = "88/89", Pages = "487--494" } @Book{ Knu81, Author = "D. Knuth", Year = 1981, Title = "Seminumerical-Algorithms", Edition = "second", Publisher = AddisonWesley, Address = "Reading, MA", Volume = 2, Series = "The Art of Computer Programming", } @Article{ Kog55, Author = "E.G. Kogbetliantz", Year = 1955, Title = "Solution of Linear Equations by Diagonalization of Coefficient Matrix", Journal = QuartApplMath, Volume = 13, Pages = "123--132" } @Article{ KouP81, Author = "S. Kourouklis and C.C. Paige", Year = 1981, Title = "A Constrained Least Squares Approach to the General {G}auss-{M}arkov Linear Model", Journal = AmerStatAssoc, Volume = 76, Pages = "620--625" } @Article{ KriM86a, Author = "A.S. Krishnakuma and M. Morf", Year = 1986, Title = "Eigenvalues of a Symmetric Tridiagonal Matrix: A Divide and Conquer Approach", Journal = NumerMath, Volume = 48, Pages = "349--368" } @Article{ Kub61, Author = "V.N. Kublanovskaya", Year = 1961, Title = "On Some Algorithms for the Solution of the Complete Eigenvalue Problem", Journal = USSRCompMathPhys, Volume = 3, Pages = "637--657" } @Article{ KubF64, Author = "V.N. Kublanovskaya and V.N. Fadeeva", Year = 1964, Title = "Computational Methods for the Solution of a Generalized Eigenvalue Problem", Journal = AMSTrans, Volume = 2, Pages = "271--290" } @Article{ KulM86b, Author = "U.W. Kulisch and W.L. Miranker", Year = 1986, Title = "The Arithmetic of the Digital Computer", Journal = SIAMReview, Volume = 28, Pages = "1--40" } @Article{ Kun82, Author = "H.T. Kung", Year = 1982, Title = "Why Systolic Architectures?", Journal = Computer, Volume = 15, Pages = "37--46" } @Article{ Bud64, Author = "C.D. La Budde", Year = 1964, Title = "Two Classes of Algorithms for Finding the Eigenvalues and Eigenvectors of Real Symmetric Matrices", Journal = JACM, Volume = 11, Pages = "53--58" } @Article{ LamV75, Author = "J. Lambiotte and R.G. Voigt", Year = 1975, Title = "The Solution of Tridiagonal Linear Systems on the {CDC-STAR 100} Computer", Journal = ACMMathSoft, Volume = 1, Pages = "308--329" } @Article{ Lan70, Author = "P. Lancaster", Year = 1970, Title = "Explicit Solution of Linear Matrix Equations", Journal = SIAMReview, Volume = 12, Pages = "544--566" } @Book{ LanT85, Author = "P. Lancaster and M. Tismenetsky", Year = 1985, Title = "The Theory of Matrices", Edition = "second", Publisher = Academic, Address = "New York" } @Article{ Lan50, Author = "C. Lanczos", Year = 1950, Title = "An Iteration Method for the Solution of the Eigenvalue Problem of Linear Differential and Integral Operators", Journal = JResNatBurStand, Volume = 45, Pages = "255--282" } @Article{ LarS78, Author = "J. Larson and A. Sameh", Year = 1978, Title = "Efficient Calculation of the Effects of Roundoff Errors", Journal = ACMMathSoft, Volume = 4, Pages = "228--236" } @Article{ Lau81, Author = "A. Laub", Year = 1981, Title = "Efficient Multivariable Frequency Response Computations", Journal = IEEETransAC, Volume = "AC-26", Pages = "407--408" } @Article{ Lau85, Author = "A. Laub", Year = 1985, Title = "Numerical Linear Algebra Aspects of Control Design Computations", Journal = IEEETransAC, Volume = "AC-30", Pages = "97--108" } @Article{ LawH69, Author = "C.L. Lawson and R.J. Hanson", Year = 1969, Title = "Extensions and Applications of the {H}ouseholder Algorithm for Solving Linear Least Squares Problems", Journal = MathComp, Volume = 23, Pages = "787--812" } @Book{ LawH74, Author = "C.L. Lawson and R.J. Hanson", Year = 1974, Title = "Solving Least Squares Problems", Publisher = PrenticeHall, Address = "Englewood Cliffs, NJ" } @Article{ LawHKK79b, Author = "C.L. Lawson and R.J. Hanson and D.R. Kincaid and F.T. Krogh", Year = 1979, Title = "Basic Linear Algebra Subprograms for {F}ortran Usage", Journal = ACMMathSoft, Volume = 5, Pages = "308--323" } @Article{ LawHKK79a, Author = "C.L. Lawson and R.J. Hanson and D.R. Kincaid and F.T. Krogh", Year = 1979, Title = "Algorithm~539: Basic Linear Algebra Subprograms for {F}ortran Usage", Journal = ACMMathSoft, Volume = 5, Pages = "324--325" } @Article{ Leh63, Author = "N.J. Lehmann", Year = 1963, Title = "Optimale {E}igenwerteinschliessungen", Journal = NumerMath, Volume = 5, Pages = "246--272" } @Article{ Lem73, Author = "F. Lemeire", Year = 1973, Title = "Bounds for Condition Numbers of Triangular and Trapezoid Matrices", Journal = BIT, Volume = 15, Pages = "58--64" } @Book{ Leo80, Author = "S.J. Leon", Year = 1980, Title = "Linear Algebra with Applications.", Publisher = Macmillan, Address = "New York, NY" } @Article{ Lev47, Author = "N. Levinson", Year = 1947, Title = "The {W}einer {RMS} Error Criterion in Filter Design and Prediction", Journal = MathPhys, Volume = 25, Pages = "261--278" } @TechReport{ Lew77, Author = "J. Lewis", Year = 1977, Title = "Algorithms for Sparse Matrix Eigenvalue Problems", Number = "STAN-CS-77-595", Institution = "Department of Computer Science, Stanford University", Address = "Stanford, CA" } @Article{ LiC88, Author = "G. Li and T. Coleman", Year = 1988, Title = "A Parallel Triangular Solver for a Distributed-Memory Multiprocessor", Journal = SIAMSciStat, Volume = 9, Pages = "485--502" } @Book{ Lin61, Author = "I. Linnik", Year = 1961, Title = "Method of Least Squares and Principles of the Theory of Observation", Publisher = PergamonPress, Address = "New York, NY" } @Article{ LoPS87, Author = "S. Lo and B. Philippe and A. Sameh", Year = 1987, Title = "A Multiprocessor Algorithm for the Symmetric Tridiagonal Eigenvalue Problem", Journal = SIAMSciStat, Volume = 8, Pages = "s155--s165" } @Article{ Loi69, Author = "G. Loizou", Year = 1969, Title = "Nonnormality and {J}ordan Condition Numbers of Matrices", Journal = JACM, Volume = 16, Pages = "580--584" } @Article{ Loi72, Author = "G. Loizou", Year = 1972, Title = "On the Quadratic Convergence of the {J}acobi Method for Normal Matrices", Journal = CompJour, Volume = 15, Pages = "274--276" } @Article{ Lot56, Author = "M. Lotkin", Year = 1956, Title = "Characteristic Values of Arbitrary Matrices", Journal = QuartApplMath, Volume = 14, Pages = "267--275" } @Book{ Lue73, Author = "D. G. Luenberger", Year = 1973, Title = "Introduction to Linear and Nonlinear Programming", Publisher = AddisonWesley, Address = "New York" } @PhDThesis{ Luk78, Author = "F.T. Luk", Year = 1978, Title = "Sparse and Parallel Matrix Computations", Number = "STAN-CS-78-685", School = "Computer Science, Stanford University", Address = "Stanford, CA" } @Article{ Luk80, Author = "F.T. 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McCormick", Year = 1972, Title = "A General Approach to One-Step Iterative Methods with Application to Eigenvalue Problems", Journal = CompSysSci, Volume = 6, Pages = "354--372" } @Article{ McK62, Author = "W.M. McKeeman", Year = 1962, Title = "Crout with Equilibration and Iteration", Journal = CACM, Volume = 5, Pages = "553--555" } @Article{ Mad59, Author = "A. Madansky", Year = 1959, Title = "The Fitting of Straight Lines When Both Variables Are Subject to Error", Journal = AmerStatAssoc, Volume = 54, Pages = "173--205" } @Article{ MadRK76, Author = "N. Madsen and G. Roderigue and J. Karush", Year = 1976, Title = "Matrix Multiplication by Diagonals of a Vector Parallel Processor", Journal = InfProcLet, Pages = "41--45" } @Article{ Mah79, Author = "K.N. Mahindar", Year = 1979, Title = "Linear Combinations of {H}ermitian and Real Symmetric Matrices", Journal = LinAlgApp, Volume = 25, Pages = "95--105" } @Article{ Mak75, Author = "J. 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Wilkinson", Year = 1970, Title = "The {QR} Algorithm for Band Symmetric Matrices", Journal = NumerMath, Volume = 16, Pages = "85--92", Note = "Also in \cite[pages 266--272]{WilR71}" } @Article{ MarW65, Author = "R.S. Martin and J.H. Wilkinson", Year = 1965, Title = "Symmetric Decomposition of Positive Definite Band Matrices", Journal = NumerMath, Volume = 7, Pages = "355--361", Note = "Also in \cite[pages 50--56]{WilR71}" } @Article{ MarW67, Author = "R.S. Martin and J.H. Wilkinson", Year = 1967, Title = "Solution of Symmetric and Unsymmetric Band Equations and the Calculation of Eigenvalues of Band Matrices", Journal = NumerMath, Volume = 9, Pages = "279--301", Note = "Also in \cite[pages 70--92]{WilR71}" } @Article{ MarW68a, Author = "R.S. Martin and J.H. Wilkinson", Year = 1968, Title = "{H}ouseholder's Tridiagonalization of a Symmetric Matrix", Journal = NumerMath, Volume = 11, Pages = "181--195", Note = "Also in \cite[pages 212--226]{WilR71}" } @Article{ MarW68b, Author = "R.S. Martin and J.H. Wilkinson", Year = 1968, Title = "The Modified {LR} Algorithm for Complex {H}essenberg Matrices", Journal = NumerMath, Volume = 12, Pages = "369--376", Note = "Also in \cite[pages 396--403]{WilR71}" } @Article{ MarW68c, Author = "R.S. Martin and J.H. Wilkinson", Year = 1968, Title = "Reduction of the Symmetric Eigenproblem {$Ax = \lambda Bx$} and Related Problems to Standard Form", Journal = NumerMath, Volume = 11, Pages = "99--110" } @Article{ MarW68d, Author = "R.S. Martin and J.H. Wilkinson", Year = 1968, Title = "Similarity Reduction of a General Matrix to {H}essenberg Form", Journal = NumerMath, Volume = 12, Pages = "349--368", Note = "Also in \cite[pages 339--358]{WilR71}" } @Article{ MvdV87, Author = "O. McBryan and van de Velde, E.F.", Year = 1987, Title = "Hypercube Algorithms and Implementations", Journal = SIAMSciStat, Volume = 8, Pages = "s227--s287" } @Article{ MdV77, Author = "J.A. 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Stewart", Year = 1973, Title = "An Algorithm for Generalized Matrix Eigenvalue Problems", Journal = SIAMNumAnal, Volume = 10, Pages = "241--256" } @Article{ MolL78, Author = "C.B. Moler and Van Loan, C.F.", Year = 1978, Title = "Nineteen Dubious Ways to Compute the Exponential of a Matrix", Journal = SIAMReview, Volume = 20, Pages = "801--836" } @Article{ MonL82, Author = "R. Montoye and D. Laurie", Year = 1982, Title = "A Practical Algorithm for the Solution of Triangular Systems on a Parallel Processing System", Journal = IEEETransComp, Volume = "C-31", Pages = "1076--1082" } @Article{ Mue66, Author = "D. Mueller", Year = 1966, Title = "{H}ouseholder's Method for Complex Matrices and {H}ermitian Matrices", Journal = NumerMath, Volume = 8, Pages = "72--92" } @Article{ MurW31, Author = "F.D. Murnaghan and A. 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O'Leary", Year = 1976, Title = "Hybrid Conjugate Gradient Algorithms", Number = "STAN-CS-76-548", School = "Computer Science, Stanford University", Address = "Stanford, CA" } @Article{ OLe80a, Author = "D.P. O'Leary", Year = 1980, Title = "The Block Conjugate Gradient Algorithm and Related Methods", Journal = LinAlgApp, Volume = 29, Pages = "293--322" } @Article{ OLe80b, Author = "D.P. O'Leary", Year = 1980, Title = "Estimating Matrix Condition Numbers", Journal = SIAMSciStat, Volume = 1, Pages = "205--209" } @Article{ OLeS81, Author = "D.P. O'Leary and J.A. Simmons", Year = 1981, Title = "A Bidiagonalization - Regularization Procedure for Large Scale Discretizations of Ill-Posed Problems", Journal = SIAMSciStat, Volume = 2, Pages = "474--489" } @Article{ OLeS85, Author = "D.P. O'Leary and G.W. Stewart", Year = 1985, Title = "Data Flow Algorithms for Parallel Matrix Computations", Journal = CACM, Volume = 28, Pages = "841--853" } @Article{ OLeS86, Author = "D.P. O'Leary and G.W. 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Pothen and S. Jha and U. Vemapulati", Year = 1987, Title = "Orthogonal Factorization on a Distributed Memory Multiprocessor", BookTitle = "Hypercube Multiprocessors", Editor = "M.T. Heath", Publisher = SIAMPub, Address = "Philadelphia, PA" } @InProceedings{ PowR68, Author = "M.J.D. Powell and J.K. Reid", Year = 1968, Title = "On Applying {H}ouseholder's Method to Linear Least Squares Problems", BookTitle = "Proceedings {IFIP} Congress", Pages = "122--126" } @Article{ Pry84, Author = "J.D. Pryce", Year = 1984, Title = "A New Measure of Relative Error for Vectors", Journal = SIAMNumAnal, Volume = 21, Pages = "202--221" } @Article{ Pry85, Author = "J.D. Pryce", Year = 1985, Title = "Multiplicative Error Analysis of Matrix Transformation Algorithms", Journal = IMANumerAna, Volume = 5, Pages = "437--445" } @Article{ Rat82, Author = "W. Rath", Year = 1982, Title = "Fast {G}ivens Rotations for Orthogonal Similarity", Journal = NumerMath, Volume = 40, Pages = "47--56" } @Article{ Rei67, Author = "J.K. Reid", Year = 1967, Title = "A Note on the Least Squares Solution of a Band System of Linear Equations by {H}ouseholder Reductions", Journal = CompJour, Volume = 10, Pages = "188--189" } @Article{ Rei71a, Author = "J.K. Reid", Year = 1971, Title = "A Note on the Stability of {G}aussian Elimination", Journal = InstMathApp, Volume = 8, Pages = "374--375" } @InCollection{ Rei71b, Author = "J.K. Reid", Year = 1971, Title = "On the Method of Conjugate Gradients for the Solution of Large Sparse Linear Equations", BookTitle = "Large Sparse Sets of Linear Equations", Editor = "J.K. Reid", Publisher = Academic, Address = "New York", Pages = "231--254" } @Article{ Rei72, Author = "J.K. Reid", Year = 1972, Title = "The Use of Conjugate Gradients for Systems of Linear Equations Possessing Property~{A}", Journal = SIAMNumAnal, Volume = 9, Pages = "325--332" } @Article{ ReiB68, Author = "C. Reinsch and F.L. Bauer", Year = 1968, Title = "Rational {QR} Transformations with {N}ewton's Shift for Symmetric Tridiagonal Matrices", Journal = NumerMath, Volume = 11, Pages = "264--272", Note = "Also in \cite[pages 257--265]{WilR71}" } @Article{ Ric66b, Author = "J.R. Rice", Year = 1966, Title = "Experiments on {G}ram-{S}chmidt Orthogonalization", Journal = MathComp, Volume = 20, Pages = "325--328" } @Article{ Ric66a, Author = "J. R. Rice", Year = 1966, Title = "A Theory of Condition", Journal = SIAMNumAnal, Volume = 3, Pages = "287--310" } @Book{ Ric81, Author = "J.R. Rice", Year = 1981, Title = "Matrix Computations and Mathematical Software", Publisher = Academic, Address = "New York" } @Article{ Rin55, Author = "R.F. Rinehart", Year = 1955, Title = "The Equivalence of Definitions of a Matrix Function", Journal = AmerMathMonthly, Volume = 62, Pages = "395--414" } @Article{ Ris73, Author = "J. Rissanen", Year = 1973, Title = "Algorithms for Triangular Decomposition of Block {H}ankel and {T}oeplitz Matrices with Application to Factoring Positive Matrix Polynomials", Journal = MathComp, Volume = 27, Pages = "147--154" } @Article{ Rob77, Author = "H.H. Robertson", Year = 1977, Title = "The Accuracy of Error Estimates for Systems of Linear Algebraic Equations", Journal = InstMathApp, Volume = 20, Pages = "409--414" } @Article{ Rod73, Author = "G. Rodrigue", Year = 1973, Title = "A Gradient Method for the Matrix Eigenvalue Problem {$Ax = \lambda Bx$}", Journal = NumerMath, Volume = 22, Pages = "1--16" } @Article{ RodW84a, Author = "G. Roderigue and D. Wolitzer", Year = 1984, Title = "Preconditioning by Incomplete Block Cyclic Reduction", Journal = MathComp, Volume = 42, Pages = "549--566" } @Book{ Rod82a, Editor = "G. Roderigue", Year = 1982, Title = "Parallel Computations", Publisher = Academic, Address = "New York" } @Article{ Ros69, Author = "D.J. Rose", Year = 1969, Title = "An Algorithm for Solving a Special Class of Tridiagonal Systems of Linear Equations", Journal = CACM, Volume = 12, Pages = "234--236" } @Book{ RosW72a, Editor = "D.J. Rose and R.A. Willoughby", Year = 1972, Title = "Sparse Matrices and Their Applications", Publisher = PlenumPress, Address = "New York, NY" } @Article{ RodW84b, Author = "G. Roderigue and D. Wolitzer", Year = 1984, Title = "Preconditioning by Incomplete Block Cyclic Reduction", Journal = MathComp, Volume = 42, Pages = "549--566" } @Book{ Rod82b, Editor = "G. Roderigue", Year = 1982, Title = "Parallel Computations", Publisher = Academic, Address = "New York, NY" } @Article{ RomO88, Author = "C.H. Romine and J.M. Ortega", Year = 1988, Title = "Parallel Solution of Triangular Systems of Equations", Journal = ParComputing, Volume = 6, Pages = "109--114" } @Article{ Ruh67, Author = "A. Ruhe", Year = 1967, Title = "On the Quadratic Convergence of the {J}acobi Method for Normal Matrices", Journal = BIT, Volume = 7, Pages = "305--313" } @Article{ Ruh68, Author = "A. Ruhe", Year = 1968, Title = "On the Quadratic Convergence of a Generalization of the {J}acobi Method to Arbitrary Matrices", Journal = BIT, Volume = 8, Pages = "210--231" } @Article{ Ruh69b, Author = "A. Ruhe", Year = 1969, Title = "The Norm of a Matrix after a Similarity Transformation", Journal = BIT, Volume = 9, Pages = "53--58" } @Article{ Ruh69a, Author = "A. Ruhe", Year = 1969, Title = "An Algorithm for Numerical Determination of the Structure of a General Matrix", Journal = BIT, Volume = 10, Pages = "196--216" } @Article{ Ruh70a, Author = "A. Ruhe", Year = 1970, Title = "Perturbation Bounds for Means of Eigenvalues and Invariant Subspaces", Journal = BIT, Volume = 10, Pages = "343--354" } @Article{ Ruh70b, Author = "A. Ruhe", Year = 1970, Title = "Properties of a Matrix with a Very Ill-Conditioned Eigenproblem", Journal = NumerMath, Volume = 15, Pages = "57--60" } @Article{ Ruh74, Author = "A. Ruhe", Year = 1974, Title = "{SOR} Methods for the Eigenvalue Problem with Large Sparse Matrices", Journal = MathComp, Volume = 28, Pages = "695--710" } @Article{ Ruh75, Author = "A. Ruhe", Year = 1975, Title = "On the Closeness of Eigenvalues and Singular Values for Almost Normal Matrices", Journal = LinAlgApp, Volume = 11, Pages = "87--94" } @Article{ Ruh78, Author = "A. Ruhe", Year = 1978, Title = "A Note on the Efficient Solution of Matrix Pencil Systems", Journal = BIT, Volume = 18, Pages = "276--281" } @Article{ Ruh79, Author = "A. Ruhe", Year = 1979, Title = "Implementation Aspects of Band {L}anczos Algorithms for Computation of Eigenvalues of Large Sparse Symmetric Matrices", Journal = MathComp, Volume = 33, Pages = "680--687" } @Article{ Ruh83, Author = "A. Ruhe", Year = 1983, Title = "Numerical Aspects of {G}ram-{S}chmidt Orthogonalization of Vectors", Journal = LinAlgApp, Volume = "52/53", Pages = "591--602" } @Article{ Ruh87, Author = "A. Ruhe", Year = 1987, Title = "Closest Normal Matrix Found!", Journal = BIT, Volume = 27, Pages = "585--598" } @Article{ RuhW72b, Author = "A. Ruhe and T. Wiberg", Year = 1972, Title = "The Method of Conjugate Gradients Used in Inverse Iteration", Journal = BIT, Volume = 12, Pages = "543--554" } @InCollection{ Rut58, Author = "H. Rutishauser", Year = 1958, Title = "Solution of Eigenvalue Problems with the {WR} Transformation", BookTitle = "Applied Mathematics Series", Publisher = NatBurStd, Volume = 49, Pages = "47--81" } @Article{ Rut66, Author = "H. Rutishauser", Year = 1966, Title = "The {J}acobi Method for Real Symmetric Matrices", Journal = NumerMath, Volume = 9, Pages = "1--10", Note = "Also in \cite[pages 202--211]{WilR71}" } @Article{ Rut69, Author = "H. Rutishauser", Year = 1969, Title = "Computation Aspects of {F}.{L}. {B}auer's Simultaneous Iteration Method", Journal = NumerMath, Volume = 13, Pages = "4--13" } @Article{ Rut70, Author = "H. Rutishauser", Year = 1970, Title = "Simultaneous Iteration Method for Symmetric Matrices", Journal = NumerMath, Volume = 16, Pages = "205--223", Note = "Also in \cite[pages 284--302]{WilR71}" } @Article{ Saa80, Author = "Y. Saad", Year = 1980, Title = "On the Rates of Convergence of the {L}anczos and the Block {L}anczos Methods", Journal = SIAMNumAnal, Volume = 17, Pages = "687--706" } @Article{ Saa84, Author = "Y. Saad", Year = 1984, Title = "Practical Use of Some {K}rylov Subspace Methods for Solving Indefinite and Nonsymmetric Linear Systems", Journal = SIAMSciStat, Volume = 5, Pages = "203--228" } @Article{ Saa87, Author = "Y. Saad", Year = 1987, Title = "On the {L}anczos Method for Solving Symmetric Systems with Several Right Hand Sides", Journal = MathComp, Volume = 48, Pages = "651--662" } @Article{ Saa81, Author = "Y. Saad", Year = 1981, Title = "{K}rylov Subspace Methods for Solving Large Unsymmetric Linear Systems", Journal = MathComp, Volume = 37, Pages = "105--126" } @Article{ Saa82, Author = "Y. Saad", Year = 1982, Title = "The {L}anczos Biorthogonalization Algorithm and Other Oblique Projection Methods for Solving Large Unsymmetric Systems", Journal = SIAMNumAnal, Volume = 19, Pages = "485--506" } @Article{ Saa86, Author = "Y. Saad", Year = 1986, Title = "On the Condition Number of Some {G}ram Matrices Arising from Least Squares Approximation in the Complex Plane", Journal = NumerMath, Volume = 48, Pages = "337--348" } @TechReport{ SaaS85a, Author = " Y. Saad and M.H. Schultz", Year = 1985, Title = "Data Communication in Hypercubes", Number = "YALEU DCS RR-428", Institution = "Computer Science, Yale University", Address = "New Haven, CT" } @TechReport{ SaaS85b, Author = " Y. Saad and M.H. Schultz", Year = 1985, Title = "Topological Properties of Hypercubes", Number = "YALEU DCS RR-389", Institution = "Computer Science, Yale University", Address = "New Haven, CT" } @Article{ SaaS86, Author = "Y. Saad and M. Schultz", Year = 1986, Title = "{GMRES}: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems", Journal = SIAMSciStat, Volume = 7, Pages = "856--869" } @Article{ Sam71, Author = "A. Sameh", Year = 1971, Title = "On {J}acobi and {J}acobi-Like Algorithms for a Parallel Computer", Journal = MathComp, Volume = 25, Pages = "579--590" } @Article{ SamK78, Author = "A. Sameh and D. Kuck", Year = 1978, Title = "On Stable Parallel Linear System Solvers", Journal = JACM, Volume = 25, Pages = "81--91" } @Article{ SamLN75, Author = "A. Sameh and J. Lermit and K. Noh", Year = 1975, Title = "On the Intermediate Eigenvalues of Symmetric Sparse Matrices", Journal = BIT, Volume = 12, Pages = "543--554" } @Article{ SchS79, Author = "K. Schittkowski and J. Stoer", Year = 1979, Title = "A Factorization Method for the Solution of Constrained Linear Least Squares Problems Allowing for Subsequent Data Changes", Journal = NumerMath, Volume = 31, Pages = "431--463" } @Article{ Sch66, Author = "P. Schoenemann", Year = 1966, Title = "A Generalized Solution of the Orthogonal {P}rocrustes Problem", Journal = Psychometrika, Volume = 31, Pages = "1--10" } @Article{ Sch64, Author = "A. Schonage", Year = 1964, Title = "On the Quadratic Convergence of the {J}acobi Process", Journal = NumerMath, Volume = 6, Pages = "410--412" } @Article{ Sch79, Author = "A. Schonage", Year = 1979, Title = "Arbitrary Perturbations of {H}ermitian Matrices", Journal = LinAlgApp, Volume = 24, Pages = "143--149" } @Book{ Sch87, Author = "W. Sch{\"o}nauer", Year = 1987, Title = "Scientific Computing on Vector Computers", Publisher = NorthHolland, Address = "Amsterdam" } @Article{ Sch86, Author = "R. Schreiber", Year = 1986, Title = "Solving Eigenvalue and Singular Value Problems on an Undersized Systolic Array", Journal = SIAMSciStat, Volume = 7, Pages = "441--451" } @Article{ SchT86, Author = "R. Schreiber and W.P. Tang", Year = 1986, Title = "On Systolic Arrays for Updating the {C}holesky Factorization", Journal = BIT, Volume = 26, Pages = "451--466" } @Article{ SchP87, Author = "R. Schreiber and B.N. Parlett", Year = 1987, Title = "Block Reflectors: Theory and Computation", Journal = SIAMNumAnal, Volume = 25, Pages = "189--205" } @Article{ SchL89, Author = "R. Schreiber and Van Loan, C.", Year = 1989, Title = "A Storage Efficient {WY} Representation for Products of {H}ouseholder Transformations", Journal = SIAMSciStat, Volume = 10, Pages = "53--57" } @Article{ Sch09, Author = "I. Schur", Year = 1909, Title = "On the Characteristic Roots of a Linear Substitution with an Application to the Theory of Integral Equations", Journal = MathAnnalen, Volume = 66, Pages = "488--510", Note = "German" } @Article{ Sch68, Author = "H.R. Schwartz", Year = 1968, Title = "Tridiagonalization of a Symmetric Band Matrix", Journal = NumerMath, Volume = 12, Pages = "231--241", Note = "Also in \cite[pages 273--283]{WilR71}" } @Article{ Sch74, Author = "H.R. Schwartz", Year = 1974, Title = "The Method of Coordinate Relaxation for {$(A - \lambda B)x = 0$}", Journal = NumerMath, Volume = 23, Pages = "135--152" } @TechReport{ Sco78, Author = "D.S. Scott", Year = 1978, Title = "Analysis of the Symmetric {L}anczos Process", Number = "M78/40", Institution = "UCB-ERL, University of California, Berkeley", Address = "Berkeley, CA" } @TechReport{ Sco79a, Author = "D.S. Scott", Year = 1979, Title = "Block {L}anczos Software for Symmetric Eigenvalue Problems", Number = "ORNL/CSD-48", Institution = "Oak Ridge National Laboratory", Address = "Oak Ridge, TN" } @Article{ Sco79b, Author = "D.S. Scott", Year = 1979, Title = "How to Make the {L}anczos Algorithm Converge Slowly", Journal = MathComp, Volume = 33, Pages = "239--247" } @Article{ Sco84, Author = "D.S. Scott", Year = 1984, Title = "Computing a Few Eigenvalues and Eigenvectors of a Symmetric Band Matrix", Journal = SIAMSciStat, Volume = 5, Pages = "658--666" } @Article{ Sco85, Author = "D.S. Scott", Year = 1985, Title = "On the Accuracy of the {G}ershgorin Circle Theorem for Bounding the Spread of a Real Symmetric Matrix", Journal = LinAlgApp, Volume = 65, Pages = "147--155" } @Article{ ScoHW86, Author = "D.S. Scott and M.T. Heath and R.C. Ward", Year = 1986, Title = "Parallel Block {J}acobi Eigenvalue Algorithms Using Systolic Arrays", Journal = LinAlgApp, Volume = 77, Pages = "345--356" } @Article{ Sea86, Author = "M.K. Seager", Year = 1986, Title = "Parallelizing Conjugate Gradient for the {Cray X-MP}", Journal = ParComputing, Volume = 3, Pages = "35--47" } @Article{ Sea69, Author = "J.J. Seaton", Year = 1969, Title = "Diagonalization of Complex Symmetric Matrices Using a Modified {J}acobi Method", Journal = CompJour, Volume = 12, Pages = "156--157" } @Article{ Ser80, Author = "S. Serbin", Year = 1980, Title = "On Factoring a Class of Complex Symmetric Matrices Without Pivoting", Journal = MathComp, Volume = 35, Pages = "1231--1234" } @Article{ SerB79, Author = "S. Serbin and S. Blalock", Year = 1979, Title = "An Algorithm for Computing the Matrix Cosine", Journal = SIAMSciStat, Volume = 1, Pages = "198--204" } @Article{ She55, Author = "J.W. Sheldon", Year = 1955, Title = "On the Numerical Solution of Elliptic Difference Equations", Journal = TablesAidsComp, Volume = 9, Pages = "101--112" } @TechReport{ ShrS87, Author = "G. Shroff and R. Schreiber", Year = 1987, Title = "Convergence of Block {J}acobi Methods", Number = "87-25", Institution = "Computer Science, Rensselaer Polytechnic Institute", Address = "Troy, NY" } @Article{ Sim84, Author = "H. Simon", Year = 1984, Title = "Analysis of the Symmetric {L}anczos Algorithm with Reorthogonalization Methods", Journal = LinAlgApp, Volume = 61, Pages = "101--132" } @Article{ SinS76, Author = "B. Singer and S. Spilerman", Year = 1976, Title = "The Representation of Social Processes by {M}arkov Models", Journal = AmerSocio, Volume = 82, Pages = "1--54" } @Article{ Ske79, Author = "R.D. Skeel", Year = 1979, Title = "Scaling for Numerical Stability in {G}aussian Elimination", Journal = JACM, Volume = 26, Pages = "494--526" } @Article{ Ske80, Author = "R.D. Skeel", Year = 1980, Title = "Iterative Refinement Implies Numerical Stability for {G}aussian Elimination", Journal = MathComp, Volume = 35, Pages = "817--832" } @Article{ Ske81, Author = "R.D. Skeel", Year = 1981, Title = "Effect of Equilibration on Residual Size for Partial Pivoting", Journal = SIAMNumAnal, Volume = 18, Pages = "449--455" } @Book{ SmiBI+70, Author = "B.T. Smith and J.M. Boyle and Y. Ikebe and V.C. Klema and C.B. Moler", Year = 1970, Title = "Matrix Eigensystem Routines: {EISPACK} Guide", Edition = "second", Publisher = Springer, Address = "New York, NY", } @Article{ Smi67, Author = "R.A. Smith", Year = 1967, Title = "The Condition Numbers of the Matrix Eigenvalue Problem", Journal = NumerMath, Volume = 10, Pages = "232--240" } @Book{ Smi70, Author = "F. Smithies", Year = 1970, Title = "Integral Equations", Publisher = CambridgePress, Address = "Cambridge, England" } @Article{ Sor85, Author = "D. Sorensen", Year = 1985, Title = "Analysis of Pairwise Pivoting in {G}aussian Elimination", Journal = IEEETransComp, Volume = "C-34", Pages = "274--278" } @Article{ Ste81a, Author = "D. Stevenson", Year = 1981, Title = "A Proposed Standard for Binary Floating Point Arithmetic", Journal = Computer, Volume = 14, Month = mar, Pages = "51--62" } @Article{ Ste69, Author = "G.W. Stewart", Year = 1969, Title = "Accelerating the Orthogonal Iteration for the Eigenvectors of a {H}ermitian Matrix", Journal = NumerMath, Volume = 13, Pages = "362--376" } @Article{ Ste70, Author = "G.W. Stewart", Year = 1970, Title = "Incorporating Origin Shifts into the {QR} Algorithm for Symmetric Tridiagonal Matrices", Journal = CACM, Volume = 13, Pages = "365--367" } @Article{ Ste71, Author = "G.W. Stewart", Year = 1971, Title = "Error Bounds for Approximate Invariant Subspaces of Closed Linear Operators", Journal = SIAMNumAnal, Volume = 8, Pages = "796--808" } @Article{ Ste72, Author = "G.W. Stewart", Year = 1972, Title = "On the Sensitivity of the Eigenvalue Problem {$Ax = \lambda Bx$}", Journal = SIAMNumAnal, Volume = 9, Pages = "669--686" } @Article{ Ste73a, Author = "G.W. Stewart", Year = 1973, Title = "Conjugate Direction Methods for Solving Systems of Linear Equations", Journal = NumerMath, Volume = 21, Pages = "284--297" } @Article{ Ste73b, Author = "G.W. Stewart", Year = 1973, Title = "Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems", Journal = SIAMReview, Volume = 15, Pages = "727--764" } @Book{ Ste73c, Author = "G.W. Stewart", Year = 1973, Title = "Introduction to Matrix Computations", Publisher = Academic, Address = "New York, NY" } @InProceedings{ Ste74, Author = "G.W. Stewart", Year = 1974, Title = "The Numerical Treatment of Large Eigenvalue Problems", BookTitle = "Proceedings {IFIP} Congress 74", Publisher = NorthHolland, Pages = "666--672" } @Article{ Ste75a, Author = "G.W. Stewart", Year = 1975, Title = "The Convergence of the Method of Conjugate Gradients at Isolated Extreme Points in the Spectrum", Journal = NumerMath, Volume = 24, Pages = "85--93" } @Article{ Ste75b, Author = "G.W. Stewart", Year = 1975, Title = "{G}ershgorin Theory for the Generalized Eigenvalue Problem {$Ax = \lambda Bx$}", Journal = MathComp, Volume = 29, Pages = "600--606" } @InCollection{ Ste75c, Author = "G.W. Stewart", Year = 1975, Title = "Methods of Simultaneous Iteration for Calculating Eigenvectors of Matrices", BookTitle = "Topics in Numerical Analysis {II}", Editor = "J.H. Miller", Publisher = Academic, Address = "New York", Pages = "185--196" } @Article{ Ste76a, Author = "G.W. Stewart", Year = 1976, Title = "Algorithm~406 {HQR3 and~EXCHNG}: {F}ortran Subroutines for Calculating and Ordering and Eigenvalues of a Real Upper {H}essenberg Matrix", Journal = ACMMathSoft, Volume = 2, Pages = "275--280" } @InCollection{ Ste76b, Author = "G.W. Stewart", Year = 1976, Title = "A Bibliographical Tour of the Large Sparse Generalized Eigenvalue Problem", BookTitle = "Sparse Matrix Computations", Editor = "J.R. Bunch and D.J. Rose", Publisher = Academic, Address = "New York" } @Article{ Ste76c, Author = "G.W. Stewart", Year = 1976, Title = "The Economical Storage of Plane Rotations", Journal = NumerMath, Volume = 25, Pages = "137--138" } @Article{ Ste76d, Author = "G.W. Stewart", Year = 1976, Title = "Simultaneous Iteration for Computing Invariant Subspaces of Non-{H}ermitian Matrices", Journal = NumerMath, Volume = 25, Pages = "12--36" } @Article{ Ste77a, Author = "G.W. Stewart", Year = 1977, Title = "On the Perturbation of Pseudo-Inverses, Projections, and Linear Least Squares Problems", Journal = SIAMReview, Volume = 19, Pages = "634--662" } @Article{ Ste77b, Author = "G.W. Stewart", Year = 1977, Title = "Perturbation Bounds for the {QR} Factorization of a Matrix", Journal = SIAMNumAnal, Volume = 14, Pages = "509--518" } @TechReport{ Ste77c, Author = "G.W. Stewart", Year = 1977, Title = "Sensitivity Coefficients for the Effects of Errors in the Independent Variables in a Linear Regression", Number = "TR-571", Institution = "Computer Science, University of Maryland", Address = "College Park, MD" } @InCollection{ Ste78, Author = "G.W. Stewart", Year = 1978, Title = "Perturbation Theory for the Generalized Eigenvalue Problem", BookTitle = "Recent Advances in Numerical Analysis", Editor = "de Boor, C. and G.H. Golub", Publisher = Academic, Address = "New York" } @Article{ Ste79b, Author = "G.W. Stewart", Year = 1979, Title = "A Note on the Perturbation of Singular Values", Journal = LinAlgApp, Volume = 28, Pages = "213--216" } @Article{ Ste79c, Author = "G.W. Stewart", Year = 1979, Title = "Perturbation Bounds for the Definite Generalized Eigenvalue Problem", Journal = LinAlgApp, Volume = 23, Pages = "69--86" } @Article{ Ste79a, Author = "G.W. Stewart", Year = 1979, Title = "The Effects of Rounding Error on an Algorithm for Downdating a {C}holesky Factorization", Journal = InstMathApp, Volume = 23, Pages = "203--213" } @Article{ Ste80, Author = "G.W. Stewart", Year = 1980, Title = "The Efficient Generation of Random Orthogonal Matrices with an Application to Condition Estimators", Journal = SIAMNumAnal, Volume = 17, Pages = "403--409" } @Article{ Ste81b, Author = "G.W. Stewart", Year = 1981, Title = "On the Implicit Deflation of Nearly Singular Systems of Linear Equations", Journal = SIAMSciStat, Volume = 2, Pages = "136--140" } @InCollection{ Ste83, Author = "G.W. Stewart", Year = 1983, Title = "A Method for Computing the Generalized Singular Value Decomposition", BookTitle = "Matrix Pencils", Editor = "B. K{\aa}gstr{\"o}m and A. Ruhe", Publisher = Springer, Address = "New York", Pages = "207--220" } @Article{ Ste84c, Author = "G.W. Stewart", Year = 1984, Title = "Rank Degeneracy", Journal = SIAMSciStat, Volume = 5, Pages = "403--413" } @Article{ Ste84a, Author = "G.W. Stewart", Year = 1984, Title = "On the Asymptotic Behavior of Scaled Singular Value and {QR} Decompositions", Journal = MathComp, Volume = 43, Pages = "483--490" } @Article{ Ste84d, Author = "G.W. Stewart", Year = 1984, Title = "A Second Order Perturbation Expansion for Small Singular Values", Journal = LinAlgApp, Volume = 56, Pages = "231--236" } @Article{ Ste84b, Author = "G.W. Stewart", Year = 1984, Title = "On the Invariance of Perturbed Null Vectors Under Column Scaling", Journal = NumerMath, Volume = "33,34", Pages = "61--66" } @Article{ Ste85, Author = "G.W. Stewart", Year = 1985, Title = "A {J}acobi-Like Algorithm for Computing the {S}chur Decomposition of a Nonhermitian Matrix", Journal = SIAMSciStat, Volume = 6, Pages = "853--862" } @Article{ Ste87, Author = "G.W. Stewart", Year = 1987, Title = "Collinearity and Least Squares Regression", Journal = StatScience, Volume = 2, Pages = "68--100" } @Article{ Sto73, Author = "H.S. Stone", Year = 1973, Title = "An Efficient Parallel Algorithm for the Solution of a Tridiagonal Linear System of Equations", Journal = JACM, Volume = 20, Pages = "27--38" } @Article{ Sto75b, Author = "H.S. Stone", Year = 1975, Title = "Parallel Tridiagonal Equation Solvers", Journal = ACMMathSoft, Volume = 1, Pages = "289--307" } @Book{ Str88, Author = "G. Strang", Year = 1988, Title = "Linear Algebra and Its Applications", Edition = "third", Publisher = Academic, Address = "New York" } @Article{ Sto75a, Author = "H. Stone", Year = 1975, Title = "Parallel Tridiagonal Equation Solvers", Journal = ACMMathSoft, Volume = 1, Pages = "289--307" } @Article{ Str69, Author = "V. Strassen", Year = 1969, Title = "{G}aussian Elimination is Not Optimal", Journal = NumerMath, Volume = 13, Pages = "354--356" } @Article{ Sun82, Author = "Guang Sun, J.", Year = 1982, Title = "A Note on {S}tewart's Theorem for Definite Matrix Pairs", Journal = LinAlgApp, Volume = 48, Pages = "331--339" } @Article{ Sun83, Author = "Guang Sun, J.", Year = 1983, Title = "Perturbation Analysis for the Generalized Singular Value Problem", Journal = SIAMNumAnal, Volume = 20, Pages = "611--625" } @Article{ Swa79, Author = "P.N. Swarztrauber", Year = 1979, Title = "A Parallel Algorithm for Solving General Tridiagonal Equations", Journal = MathComp, Volume = 33, Pages = "185--199" } @Article{ SwaS73, Author = "P.N. Swarztrauber and R.A. Sweet", Year = 1973, Title = "The Direct Solution of the Discrete {P}oisson Equation on a Disk", Journal = SIAMNumAnal, Volume = 10, Pages = "900--907" } @Article{ Swe74, Author = "R.A. Sweet", Year = 1974, Title = "A Generalized Cyclic Reduction Algorithm", Journal = SIAMNumAnal, Volume = 11, Pages = "506--520" } @Article{ Swe77, Author = "R.A. Sweet", Year = 1977, Title = "A Cyclic Reduction Algorithm for Solving Block Tridiagonal Systems of Arbitrary Dimension", Journal = SIAMNumAnal, Volume = 14, Pages = "706--720" } @Article{ SymW80, Author = "H.J. Symm and J.H. Wilkinson", Year = 1980, Title = "Realistic Error Bounds for a Simple Eigenvalue and Its Associated Eigenvector", Journal = NumerMath, Volume = 35, Pages = "113--126" } @Article{ TanG81, Author = "W.P. Tang and G.H. Golub", Year = 1981, Title = "The Block Decomposition of a {V}andermonde Matrix and Its Applications", Journal = BIT, Volume = 21, Pages = "505--517" } @Article{ ThoW70, Author = "G.L. Thompson and R.L. Weil", Year = 1970, Title = "Reducing the Rank of {$A - \lambda B$}", Journal = ProcAMS, Volume = 26, Pages = "548--554" } @Article{ ThoW72, Author = "G.L. Thompson and R.L. Weil", Year = 1972, Title = "Roots of Matrix Pencils {$Ay = \lambda By$}: Existence, Calculations, and Relations to Game Theory", Journal = LinAlgApp, Volume = 5, Pages = "207--226" } @TechReport{ TreS87, Author = "L.N. Trefethen and R.S. Schreiber", Year = 1987, Title = "Average Case Stability of {G}aussian Elimination", Number = "88-3", Institution = "Numerical Analysis, Department of Mathematics, MIT", Address = "MA" } @Article{ Tre64, Author = "W.F. Trench", Year = 1964, Title = "An Algorithm for the Inversion of Finite {T}oeplitz Matrices", Journal = "J. SIAM", Volume = 12, Pages = "515--522" } @Article{ Tre74, Author = "W.F. Trench", Year = 1974, Title = "Inversion of {T}oeplitz Band Matrices", Journal = MathComp, Volume = 28, Pages = "1089--1095" } @Article{ Tsa75, Author = "N.K. Tsao", Year = 1975, Title = "A Note on Implementing the {H}ouseholder Transformation", Journal = SIAMNumAnal, Volume = 12, Pages = "53--58" } @Book{ TurA61, Author = "H.W. Turnbull and A.C. Aitken", Year = 1961, Title = "An Introduction to the Theory of Canonical Matrices", Publisher = DoverPub, Address = "New York" } @Article{ Uhl73, Author = "F. Uhlig", Year = 1973, Title = "Simultaneous Block Diagonalization of Two Real Symmetric Matrices", Journal = LinAlgApp, Volume = 7, Pages = "281--289" } @Article{ Uhl76, Author = "F. Uhlig", Year = 1976, Title = "A Canonical Form for a Pair of Real Symmetric Matrices that Generate a Nonsingular Pencil", Journal = LinAlgApp, Volume = 14, Pages = "189--210" } @TechReport{ Und75, Author = "R. Underwood", Year = 1975, Title = "An Iterative Block {L}anczos Method for the Solution of Large Sparse Symmetric Eigenproblems", Number = "STAN-CS-75-496", Institution = "Computer Science, Stanford University", Address = "Stanford, CA" } @Article{ Van71, Author = "J. Vandergraft", Year = 1971, Title = "Generalized {R}ayleigh Methods with Applications to Finding Eigenvalues of Large Matrices", Journal = LinAlgApp, Volume = 4, Pages = "353--368" } @Article{ vdS69, Author = "van der Sluis, A.", Year = 1969, Title = "Condition Numbers and Equilibration Matrices", Journal = NumerMath, Volume = 14, Pages = "14--23" } @Article{ vdS70, Author = "van der Sluis, A.", Year = 1970, Title = "Condition, Equilibration, and Pivoting in Linear Algebraic Systems", Journal = NumerMath, Volume = 15, Pages = "74--86" } @Article{ vdS75a, Author = "van der Sluis, A.", Year = 1975, Title = "Perturbations of Eigenvalues of Nonnormal Matrices", Journal = CACM, Volume = 18, Pages = "30--36" } @Article{ vdS75b, Author = "van der Sluis, A.", Year = 1975, Title = "Stability of the Solutions of Linear Least Squares Problem", Journal = NumerMath, Volume = 23, Pages = "241--254" } @Article{ vdSV79, Author = "van der Sluis, A. and G.W. Veltkamp", Year = 1979, Title = "Restoring Rank and Consistency by Orthogonal Projection", Journal = LinAlgApp, Volume = 28, Pages = "257--278" } @Article{ vdSV86, Author = "van der Sluis, A. and Van der Vorst, H.A.", Year = 1986, Title = "The Rate of Convergence of Conjugate Gradients", Journal = NumerMath, Volume = 48, Pages = "543--560" } @Article{ dV77, Author = "Van de Vel, H.", Year = 1977, Title = "Numerical Treatment of a Generalized {V}andermonde System of Equations", Journal = LinAlgApp, Volume = 17, Pages = "149--174" } @Article{ dV82b, Author = "Van der Vorst, H.A.", Year = 1982, Title = "A Vectorizable Variant of Some {ICCG} Methods", Journal = SIAMSciStat, Volume = 3, Pages = "350--356" } @Article{ dV82a, Author = "Van der Vorst, H.A.", Year = 1982, Title = "A Generalized {L}anczos Scheme", Journal = MathComp, Volume = 39, Pages = "559--562" } @Article{ Doo79, Author = "Van Dooren, P.", Year = 1979, Title = "The Computation of {K}ronecker's Canonical Form of a Singular Pencil", Journal = LinAlgApp, Volume = 27, Pages = "103--140" } @Article{ Doo81b, Author = "Van Dooren, P.", Year = 1981, Title = "A Generalized Eigenvalue Approach for Solving {R}iccati Equations", Journal = SIAMSciStat, Volume = 2, Pages = "121--135" } @Article{ Doo81a, Author = "Van Dooren, P.", Year = 1981, Title = "The Generalized Eigenstructure Problem in Linear System Theory", Journal = IEEETransAC, Volume = "AC-26", Pages = "111--128" } @InCollection{ Doo83, Author = "Van Dooren, P.", Year = 1983, Title = "Reducing Subspaces: definitions, properties and Algorithms", BookTitle = "Matrix Pencils", Editor = "B. K{\aa}gstr{\"o}m and A. Ruhe", Publisher = Springer, Address = "New York", Pages = "58--73" } @PhDThesis{ Huf87, Author = "Van Huffel, S.", Year = 1987, Title = "Analysis of the Total Least Squares Problem and Its Use in Parameter Estimation", School = "Electrical Engineering, Katholieke Universiteit Leuven", Address = "Leuven, Belgium" } @TechReport{ Huf88, Author = "Van Huffel, S.", Year = 1988, Title = "Comments on the Solution of the Nongeneric Total Least Squares Problem", Number = "ESAT-KUL-88/3", Institution = "Department of Electrical Engineering, Katholieke Universiteit Leuven", Address = "Leuven, Belgium" } @Article{ HufV88a, Author = "Van Huffel, S. and J. Vandewalle", Year = 1988, Title = "The Partial Total Least Squares Algorithm", Journal = CompApplMath, Volume = 21, Pages = "333--342" } @Article{ HufV87, Author = "Van Huffel, S. and J. Vandewalle", Year = 1987, Title = "Subset Selection Using the Total Least Squares Approach in Collinearity Problems with Errors in the Variables", Journal = LinAlgApp, Volume = "88/89", Pages = "695--714" } @Article{ HufVH87, Author = "Van Huffel, S. and J. Vandewalle and A. Haegemans", Year = 1987, Title = "An Efficient and Reliable Algorithm for Computing the Singular Subspace of a Matrix Associated with its Smallest Singular Values", Journal = CompApplMath, Volume = 19, Pages = "313--330" } @Article{ HufV88b, Author = "Van Huffel, S. and J. Vandewalle", Year = 1988, Title = "The Partial Total Least Squares Algorithm", Journal = CompApplMath, Volume = 21, Pages = "333--342" } @TechReport{ KatdV77, Author = "Van Kats, J.M. and Van der Vorst, H.A.", Year = 1977, Title = "Automatic Monitoring of {L}anczos Schemes for Symmetric or Skew-Symmetric Generalized Eigenvalue Problems", Number = "TR 7", Institution = "Academische Computer Centre", Address = "Utrecht, The Netherlands" } @Article{ vK66, Author = "van Kempen, H.P.M.", Year = 1966, Title = "On Quadratic Convergence of the Special Cyclic {J}acobi Method", Journal = NumerMath, Volume = 9, Pages = "19--22" } @PhDThesis{ Loa73, Author = "Van Loan, C.F.", Year = 1973, Title = "Generalized Singular Values with Algorithms and Applications", School = "University of Michigan", Address = "Ann Arbor, MI" } @Article{ Loa75a, Author = "Van Loan, C.F.", Year = 1975, Title = "A General Matrix Eigenvalue Algorithm", Journal = SIAMNumAnal, Volume = 12, Pages = "819--834" } @TechReport{ Loa75b, Author = "Van Loan, C.F.", Year = 1975, Title = "A Study of the Matrix Exponential", Number = "10", Institution = "Numerical Analysis, University of Manchester", Address = "England" } @Article{ Loa76, Author = "Van Loan, C.F.", Year = 1976, Title = "Generalizing the Singular Value Decomposition", Journal = SIAMNumAnal, Volume = 13, Pages = "76--83" } @InCollection{ Loa77a, Author = "Van Loan, C.F.", Year = 1977, Title = "On the Limitation and Application of the {P}ad{\'e} Approximation to the Matrix Exponential", BookTitle = "{P}ad{\'e} and Rational Approximation", Editor = "E.B. Saff and R.S. Varga", Publisher = Academic, Address = "New York" } @Article{ Loa77b, Author = "Van Loan, C.F.", Year = 1977, Title = "The Sensitivity of the Matrix Exponential", Journal = SIAMNumAnal, Volume = 14, Pages = "971--981" } @Article{ Loa78a, Author = "Van Loan, C.F.", Year = 1978, Title = "Computing Integrals Involving the Matrix Exponential", Journal = IEEETransAC, Volume = "AC-23", Pages = "395--404" } @Article{ Loa78b, Author = "Van Loan, C.F.", Year = 1978, Title = "A Note on the Evaluation of Matrix Polynomials", Journal = IEEETransAC, Volume = "AC-24", Pages = "320--321" } @InCollection{ Loa82, Author = "Van Loan, C.F.", Year = 1982, Title = "Using the {H}essenberg Decomposition in Control Theory", BookTitle = "Algorithms and Theory in Filtering and Control", Editor = "D.C. Sorensen and R.J. Wets", Series = "Mathematical Programming Study", Number = 18, Publisher = NorthHolland, Address = "Amsterdam", Pages = "102--111" } @InProceedings{ Loa83, Author = "Van Loan, C.F.", Year = 1983, Title = "A Generalized {SVD} Analysis of Some Weighting Methods for Equality-Constrained Least Squares", BookTitle = "Proceedings of the Conference on Matrix Pencils", Editor = "B. K{\aa}gstr{\"o}m and A. Ruhe", Publisher = Springer, Address = "New York" } @Article{ Loa84, Author = "Van Loan, C.F.", Year = 1984, Title = "A Symplectic Method for Approximating All the Eigenvalues of a {H}amiltonian Matrix", Journal = LinAlgApp, Volume = 61, Pages = "233--252" } @Article{ Loa85a, Author = "Van Loan, C.F.", Year = 1985, Title = "Computing the {CS} and Generalized Singular Value Decomposition", Journal = NumerMath, Volume = 46, Pages = "479--492" } @Article{ Loa85c, Author = "Van Loan, C.F.", Year = 1985, Title = "On the Method of Weighting for Equality Constrained Least Squares Problems", Journal = SIAMNumAnal, Volume = 22, Pages = "851--864" } @Article{ Loa85b, Author = "Van Loan, C.F.", Year = 1985, Title = "How Near is a Stable Matrix to an Unstable Matrix?", Journal = ContempMath, Volume = 47, Pages = "465--477" } @Article{ Loa87, Author = "Van Loan, C.F.", Year = 1987, Title = "On Estimating the Condition of Eigenvalues and Eigenvectors", Journal = LinAlgApp, Volume = "88/89", Pages = "715--732" } @Article{ Var68a, Author = "J.M. Varah", Year = 1968, Title = "The Calculation of the Eigenvectors of a General Complex Matrix by Inverse Iteration", Journal = MathComp, Volume = 22, Pages = "785--791" } @Article{ Var68b, Author = "J.M. Varah", Year = 1968, Title = "Rigorous Machine Bounds for the Eigensystem of a General Complex Matrix", Journal = MathComp, Volume = 22, Pages = "793--801" } @Article{ Var70a, Author = "J.M. Varah", Year = 1970, Title = "Computing Invariant Subspaces of a General Matrix when the Eigensystem is Poorly Determined", Journal = MathComp, Volume = 24, Pages = "137--149" } @Article{ Var79, Author = "J.M. Varah", Year = 1979, Title = "On the Separation of Two Matrices", Journal = SIAMNumAnal, Volume = 16, Pages = "216--222" } @Article{ Var72, Author = "J.M. Varah", Year = 1972, Title = "On the Solution of Block-Tridiagonal Systems Arising from Certain Finite-Difference Equations", Journal = MathComp, Volume = 26, Pages = "859--868" } @Article{ Var73, Author = "J.M. Varah", Year = 1973, Title = "On the Numerical Solution of Ill-Conditioned Linear Systems with Applications to Ill-Posed Problems", Journal = SIAMNumAnal, Volume = 10, Pages = "257--267" } @Article{ Var75, Author = "J.M. Varah", Year = 1975, Title = "A Lower Bound for the Smallest Singular Value of a Matrix", Journal = LinAlgApp, Volume = 11, Pages = "1--2" } @Article{ Var61, Author = "R.S. Varga", Year = 1961, Title = "On Higher-Order Stable Implicit Methods for Solving Parabolic Partial Differential Equations", Journal = MathPhys, Volume = 40, Pages = "220--231" } @Book{ Var62, Author = "R.S. Varga", Year = 1962, Title = "Matrix Iterative Analysis", Publisher = PrenticeHall, Address = "Englewood Cliffs, NJ" } @Article{ Var70b, Author = "R.S. Varga", Year = 1970, Title = "Minimal {G}ershgorin Sets for Partitioned Matrices", Journal = SIAMNumAnal, Volume = 7, Pages = "493--507" } @Article{ Var76, Author = "R.S. Varga", Year = 1976, Title = "On Diagonal Dominance Arguments for Bounding {$\|A^{-1}\|$}", Journal = LinAlgApp, Volume = 14, Pages = "211--217" } @Article{ Vet75, Author = "W.J. Vetter", Year = 1975, Title = "Vector Structures and Solutions of Linear Matrix Equations", Journal = LinAlgApp, Volume = 10, Pages = "181--188" } @Book{ Wac66, Author = "E.L. Wachpress", Year = 1966, Title = "Iterative Solution of Elliptic Systems", Publisher = PrenticeHall, Address = "Englewood Cliffs, NJ" } @InProceedings{ WalAC+88, Author = "D.W. Walker and T. Aldcroft and A. Cisneros and G. Fox and W. Furmanski", Year = 1988, Title = "{LU} Decomposition of Banded Matrices and the Solution of Linear Systems on Hypercubes", BookTitle = "The Third Conference on Hypercube Concurrent Computers and Applications, Vol. {II}, Applications", Editor = "G. Fox", Publisher = ACMPress, Address = "New York", Pages = "1635--1655" } @Article{ Wal88, Author = "H.F. Walker", Year = 1988, Title = "Implementation of the {GMRES} Method Using {H}ouseholder Transformations", Journal = SIAMSciStat, Volume = 9, Pages = "152--163" } @Article{ War75, Author = "R.C. Ward", Year = 1975, Title = "The Combination Shift {QZ} Algorithm", Journal = SIAMNumAnal, Volume = 12, Pages = "835--853" } @Article{ War77, Author = "R.C. Ward", Year = 1977, Title = "Numerical Computation of the Matrix Exponential with Accuracy Estimate", Journal = SIAMNumAnal, Volume = 14, Pages = "600--614" } @Article{ War81, Author = "R.C. Ward", Year = 1981, Title = "Balancing the Generalized Eigenvalue Problem", Journal = SIAMSciStat, Volume = 2, Pages = "141--152" } @Article{ WarG78, Author = "R.C. Ward and L.J. Gray", Year = 1978, Title = "Eigensystem Computation for Skew-Symmetric and a Class of Symmetric Matrices", Journal = ACMMathSoft, Volume = 4, Pages = "278--285" } @Article{ Wat82, Author = "D.S. Watkins", Year = 1982, Title = "Understanding the {QR} Algorithm", Journal = SIAMReview, Volume = 24, Pages = "427--440" } @Article{ Wat73, Author = "G.A. Watson", Year = 1973, Title = "An Algorithm for the Inversion of Block Matrices of {T}oeplitz Form", Journal = JACM, Volume = 20, Pages = "409--415" } @Article{ Wat88, Author = "G.A. Watson", Year = 1988, Title = "The Smallest Perturbation of a Submatrix which Lowers the Rank of the Matrix", Journal = IMANumerAna, Volume = 8, Pages = "295--304" } @Article{ Wed72, Author = "P.{\AA}. Wedin", Year = 1972, Title = "Perturbation Bounds in Connection with the Singular Value Decomposition", Journal = BIT, Volume = 12, Pages = "99--111" } @Article{ Wed73a, Author = "P.{\AA}. Wedin", Year = 1973, Title = "On the Almost Rank-Deficient Case of the Least Squares Problem", Journal = BIT, Volume = 13, Pages = "344--354" } @Article{ Wed73b, Author = "P.{\AA}. Wedin", Year = 1973, Title = "Perturbation Theory for Pseudo-Inverses", Journal = BIT, Volume = 13, Pages = "217--232" } @Article{ Wid78, Author = "O. Widlund", Year = 1978, Title = "A {L}anczos Method for a Class of Nonsymmetric Systems of Linear Equations", Journal = SIAMNumAnal, Volume = 15, Pages = "801--812" } @Article{ Wil61, Author = "J.H. Wilkinson", Year = 1961, Title = "Error Analysis of Direct Methods of Matrix Inversion", Journal = JACM, Volume = 10, Pages = "281--330" } @Book{ Wil63, Author = "J.H. Wilkinson", Year = 1963, Title = "Rounding Errors in Algebraic Processes", Publisher = PrenticeHall, Address = "Englewood Cliffs, NJ" } @Book{ Wil65a, Author = "J.H. Wilkinson", Year = 1965, Title = "The Algebraic Eigenvalue Problem", Publisher = ClaredonPress, Address = "Oxford, England" } @Article{ Wil65b, Author = "J.H. Wilkinson", Year = 1965, Title = "Convergence of the {LR}, {QR}, and Related Algorithms", Journal = CompJour, Volume = 8, Pages = "77--84" } @Article{ Wil68a, Author = "J.H. Wilkinson", Year = 1968, Title = "Almost Diagonal Matrices with Multiple or Close Eigenvalues", Journal = LinAlgApp, Volume = 1, Pages = "1--12" } @Article{ Wil68c, Author = "J.H. Wilkinson", Year = 1968, Title = "Global Convergence of Tridiagonal {QR} Algorithm with Origin Shifts", Journal = LinAlgApp, Volume = 1, Pages = "409--420" } @InProceedings{ Wil68b, Author = "J.H. Wilkinson", Year = 1968, Title = "A Priori Error Analysis of Algebraic Processes", BookTitle = "Proceedings International Congress Math. ({M}oscow: {I}zdat. {M}ir)", Pages = "629--639" } @Article{ Wil71, Author = "J.H. Wilkinson", Year = 1971, Title = "Modern Error Analysis", Journal = SIAMReview, Volume = 14, Pages = "548--568" } @Article{ Wil72, Author = "J.H. Wilkinson", Year = 1972, Title = "Note on Matrices with a Very Ill-Conditioned Eigenproblem", Journal = NumerMath, Volume = 19, Pages = "176--178" } @InCollection{ Wil77, Author = "J.H. Wilkinson", Year = 1977, Title = "Some Recent Advances in Numerical Linear Algebra", BookTitle = "The State of the Art in Numerical Analysis", Editor = "D.A. H. Jacobs", Publisher = Academic, Address = "New York", Pages = "1--53" } @InCollection{ Wil78, Author = "J.H. Wilkinson", Year = 1978, Title = "Linear Differential Equations and {K}ronecker's Canonical Form", BookTitle = "Recent Advances in Numerical Analysis", Editor = "de Boor, C. and G.H. Golub", Publisher = Academic, Address = "New York", Pages = "231--265" } @Article{ Wil79, Author = "J.H. Wilkinson", Year = 1979, Title = "{K}ronecker's Canonical Form and the {QZ} Algorithm", Journal = LinAlgApp, Volume = 28, Pages = "285--303" } @Book{ WilR71, Editor = "J.H. Wilkinson and C. Reinsch", Year = 1971, Title = "Linear Algebra", Volume = 2, Series = "Handbook for Automatic Computation", Publisher = Springer, Address = "New York, NY", } @Article{ Wil84, Author = "J.H. Wilkinson", Year = 1984, Title = "On Neighboring Matrices with Quadratic Elementary Divisors", Journal = NumerMath, Volume = 44, Pages = "1--21" } @Article{ WimZ72, Author = "H. Wimmer and A.D. Ziebur", Year = 1972, Title = "Solving the Matrix Equation {$\sum f_{p}(A)Xg_{p}(A)$}", Journal = SIAMReview, Volume = 14, Pages = "318--323" } @Article{ Win68, Author = "S. Winograd", Year = 1968, Title = "A New Algorithm for Inner Product", Journal = IEEETransComp, Volume = "C-17", Pages = "693--694" } @Article{ Woz80, Author = "H. Wozniakowski", Year = 1980, Title = "Roundoff Error Analysis of a New Class of Conjugate Gradient Algorithms", Journal = LinAlgApp, Volume = 29, Pages = "507--529" } @Article{ Wra73, Author = "A. Wragg", Year = 1973, Title = "Computation of the Exponential of a Matrix {I}: Theoretical Considerations", Journal = InstMathApp, Volume = 11, Pages = "369--375" } @Article{ Wra75, Author = "A. Wragg", Year = 1975, Title = "Computation of the Exponential of a Matrix {II}: Practical Considerations", Journal = InstMathApp, Volume = 15, Pages = "273--278" } @Article{ Yoh79, Author = "J.M. Yohe", Year = 1979, Title = "Software for Interval Arithmetic: A Reasonable Portable Package", Journal = ACMMathSoft, Volume = 5, Pages = "50--63" } @Article{ You70, Author = "D.M. Young", Year = 1970, Title = "Convergence Properties of the Symmetric and Unsymmetric Over-Relaxation Methods", Journal = MathComp, Volume = 24, Pages = "793--807" } @Book{ You71, Author = "D.M. Young", Year = 1971, Title = "Iterative Solution of Large Linear Systems", Publisher = Academic, Address = "New York" } @Article{ You72, Author = "D.M. Young", Year = 1972, Title = "Generalization of Property~{$A$} and Consistent Ordering", Journal = SIAMNumAnal, Volume = 9, Pages = "454--463" } @Article{ YouJ80, Author = "D.M. Young and K.C. Jea", Year = 1980, Title = "Generalized Conjugate Gradient Acceleration of Nonsymmetrizable Iterative Methods", Journal = LinAlgApp, Volume = 34, Pages = "159--194" } @Article{ Zoh69, Author = "S. Zohar", Year = 1969, Title = "{T}oeplitz Matrix Inversion: The Algorithm of {W}.{F}. {T}rench", Journal = {JACM}, Volume = 16, Pages = "592--601" } Date: Tue, 6 Nov 90 14:50:09 EST From: romine@gus.EPM.ORNL.GOV (Charles H. Romine) @string{ACMCS="ACM Computing Surveys"} @string{ACMTMS="ACM Trans. Math. Softw."} @string{AMC="Appl. Math. \& Comp."} @string{ANL="Argonne National Laboratory"} @string{BCS="Boeing Computer Services"} @string{BSTJ="Bell System Tech. J."} @string{CAC="Center for Advanced Computation"} @string{CACM="Comm. ACM"} @string{CANM="Comm. Appl. Numer. Meth."} @string{CMAME="Comput. Meth. Appl. Mech. Engrg."} @string{CMU="Carnegie-Mellon University"} @string{CNA="Center for Numerical Analysis"} @string{CPC="Comput. Phys. Comm."} @string{CSRD="Center for Supercomputing Research and Development"} @string{DAPMA="Department of Applied Mathematics"} @string{DCS="Department of Computer Science"} @string{DECE="Department of Electrical and Computer Engineering"} @string{ICPP="Int. Conf. Par. Proc."} @string{IJCM="Int. J. Comput. Math."} @string{IJSA="Int. J. Supercomputer Appl."} @string{JACM="J. ACM"} @string{JCAM="J. Comput. Appl. Math."} @string{JPDC="J. Par. Dist. Comp."} @string{LAA="Lin. Alg. \& Appl."} @string{LANL="Los Alamos National Laboratory"} @string{LBL="Lawrence Berkeley Laboratory"} @string{LLNL="Lawrence Livermore National Laboratory"} @string{MC="Math. Comp."} @string{MCS="Math. Comp. Simul."} @string{MIT="Massachusetts Institute of Technology"} @string{NARC="NASA Ames Research Center"} @string{NLRC="NASA Langley Research Center"} @string{OR="Oper. Res."} @string{ORNL="Oak Ridge National Laboratory"} @string{PC="Parallel Computing"} @string{SIAD="SIAM J. Algebraic Discrete Methods"} @string{SIAM="Society for Industrial and Applied Mathematics"} @string{SIAPMA="SIAM J. Appl. Math."} @string{SICOMP="SIAM J. Comput."} @string{SIMAX="SIAM J. Matrix Anal. Appl."} @string{SINUM="SIAM J. Numer. Anal."} @string{SIREV="SIAM Rev."} @string{SISSC="SIAM J. Sci. Statist. Comput."} @string{TOC="IEEE Trans. Comput."} @string{TSE="IEEE Trans. Softw. Eng."} This bibliography was started by J. M. Ortega and R. G. Voigt, and most of the references listed were included by them. A small percentage of the references was included by C. H. Romine, who also put the original file of references in BibTeX format. This bibliography is now maintained and distributed by C. H. Romine at Oak Ridge National Laboratory. Please forward any errors or inconsistencies to romine at msr.epm.ornl.gov. @article{Abdel-Wahab78a, author="Abdel-Wahab, H. and Kameda, T.", title="Scheduling to Minimize Maximum Cumulative Cost Subject to Series-Parallel Precedence Constraints", journal=OR, volume="26", pages="141-158", year="1978"} @inproceedings{Absar83a, author="Absar, I.", title="Vectorization of a Penalty Function Algorithm for Well Scheduling", crossref="Gary84a", pages="361-370", year="1983"} @inproceedings{Abu-Shomays85a, author="Abu-Shomays, I.", title="Comparison of Methods and Algorithms for Tridiagonal Systems and for Vectorization of Diffusion Computation", crossref="Numrich85a", pages="29-56", year="1985"} @techreport{Abu-Sufah86a, author="Abu-Sufah, W. and Malony, A.", title="Experimental Results for Vector Processing on the {Alliant} {FX}/8", institution=CSRD # ", University of Illinois at Urbana-Champaign", number="539", month=feb, year="1986"} @inproceedings{Abu-Sufah86b, author="Abu-Sufah, W. and Malony, A.", title="Vector Processing on the {Alliant} {FX}/8 Multiprocessor", booktitle="Proc. 1986 " # ICPP, pages="559-566", year="1986"} @article{Adam74a, author="Adam, T. and Chandy, K. and Dickson, J.", title="A Comparison of List Schedules for Parallel Processing Systems", journal=CACM, volume="17", pages="685-690", year="1974"} @phdthesis{Adams82a, author="Adams, L.", title="Iterative Algorithms for Large Sparse Linear Systems on Parallel Computers", school="The University of Virginia", address="Department of Applied Mathematics and Computer Science", note="Also published as NASA CR-166027, " # NLRC, year="1982"} @inproceedings{Adams82b, author="Adams, L. and Ortega, J.", title="A Multi-Color {SOR} Method for Parallel Computation", booktitle="Proc. 1982 " # ICPP, pages="53-56", year="1982"} @inproceedings{Adams83a, author="Adams, L.", title="An {M}-Step Preconditioned Conjugate Gradient Method for Parallel Computation", booktitle="Proc. 1983 " # ICPP, pages="36-43", year="1983"} @article{Adams84a, author="Adams, L. and Crockett, T.", title="Modeling Algorithm Execution Time on Processor Arrays", journal="Computer", volume="17", number="7", pages="38-43", year="1984"} @inproceedings{Adams84b, author="Adams, L. and Voigt, R.", title="A Methodology for Exploiting Parallelism in the Finite Element Process", crossref="Kowalik84a", pages="373-392", year="1984"} @incollection{Adams84c, author="Adams, L. and Voigt, R.", title="Design, Development and Use of the {Finite} {Element} {Machine}", crossref="Parter84a", pages="301-321", year="1984"} @techreport{Adams85a, author="Adams, G. and Brown, R. and Denning, P.", title="Report on an Evaluation Study of Data Flow Computation", institution="RIACS, " # NARC, number="TR-85.2", month=apr, year="1985"} @techreport{Adams85b, author="Adams, G. and Brown, R. and Denning, P.", title="On Evaluating Parallel Computing Systems", institution="RIACS, " # NARC, number="TR-85.3", month=may, year="1985"} @article{Adams85c, author="Adams, L.", title="M-step Preconditioned Conjugate Gradient Methods", journal=SISSC, volume="6", pages="452-463", year="1985"} @article{Adams85d, author="Adams, L. and Jordan, H.", title="Is {SOR} Color-Blind?", journal=SISSC, volume="7", pages="490-506", year="1985"} @inproceedings{Adams85e, author="Adams, N. and Johnson, O.", title="A Vector Elastic Model for the {Cyber} 205", crossref="Numrich85a", pages="101-114", year="1985"} @article{Adams86a, author="Adams, L.", title="Reordering Computations for Parallel Execution", journal=CANM, volume="2", pages="263-271", year="1986"} @article{Adams87a, author="Adams, L. and Ong, E.", title="Additive Polynomial Preconditioners for Parallel Computers", journal=PC, note="To appear", year="1987"} @article{Agerwala82a, author="Agerwala, T. and Arvind.", title="Data Flow Systems", journal="Computer", volume="15", number="2", pages="10-13", year="1982"} @techreport{Aggarnal85a, author="Aggarnal, V. and Dhall, S. and Diaz, J. and Lakshmirarahun, S.", title="A Parallel Algorithm for Solving Large Scale Sparse Linear Systems Using Block Pre-Conditioned Conjugate Gradient Method on an {MIMD} Machine", institution="Schools of Electrical Engineering and Computer Science, University of Oklahoma", number="OU-PPI, TR-85-02", month=jan, year="1985"} @inproceedings{Aggarwal85a, author="Aggarwal, A. and Chazelle, B. and Guibas, L. and O'Dunlaing, C. and Yap, C.", title="Parallel Computational Geometry", booktitle="Proc. IEEE Conference on Fundamentals of Computer Science", pages="468-477", year="1985"} @book{Agrawal86a, editor="Agrawal, D.", title="Advanced Computer Architecture", booktitle="Advanced Computer Architecture", publisher="North-Holland", address="Amsterdam", year="1986"} @inproceedings{Ahlberg84a, author="Ahlberg, R. and Gustafsson, B.", title="A Note on Parallel Algorithms for Partial Differential Equations", crossref="Feilmeier84a", pages="93-98", year="1984"} @article{Ahmed82a, author="Ahmed, H. and Delosme, J. and Morf, M.", title="Highly Concurrent Computing Structures for Matrix Arithmetic and Signal Processing", journal="Computer", volume="15", number="1", pages="65-82", year="1982"} @techreport{Alaghband83a, author="Alaghband, G. and Jordan, H.", title="Parallelization of the {MA28} Sparse Matrix Package for the {HEP}", institution=DECE # ", University of Colorado, Boulder", number="CSDG-83-3", year="1983"} @techreport{Alaghband85a, author="Alaghband, G. and Jordan, H.", title="Multiprocessor Sparse {L/U} Decomposition with Controlled Fill-In", institution="ICASE, " # NLRC, number="85-48", address="Hampton, VA", year="1985"} @techreport{Alaghband86a, author="Alaghband, G. and Jordan, H.", title="Sparse {Gaussian} Elimination with Controlled Fill-in on a Shared Memory Multiprocessor", institution=DECE # ", University of Colorado, Boulder", type="ECSE Tech. Report", number="86-1-5", year="1986"} @techreport{Alaghband87a, author="Alaghband, G.", title="Parallel Pivoting Combined with Parallel Reduction", institution="ICASE, " # NLRC, number="87-75", address="Hampton, VA", month=dec, year="1987"} @phdthesis{Alaghband88a, author="Alaghband, G.", title="Multiprocessor Sparse {LU} Decomposition with Controlled Fill-in", school="University of Colorado, Boulder", address=DECE, year="1988"} @techreport{Allen87a, author="Allen, T. and Cybenko, G.", title="Recursive Binary Partitions", institution=DCS # ", Tufts University", month=oct, year="1987"} @article{Allroth84a, author="Allroth, E.", title="Minimization of the Processing Time of Parallel Computers", journal="Physics Letters", volume="106A", number="7", pages="329-331", year="1984"} @incollection{Almeida88a, author="Almeida, V. and Dowdy, L. and Leuze, M.", title="An Analytic Model for Parallel {Gaussian} Elimination on a Binary {$N$}-Cube", crossref="Fox88a", pages="1550-1553", year="1988"} @article{Alt85a, author="Alt, R.", title="Computing Roots of Polynomials on Vector Processing Machines", journal=CANM, volume="1", pages="299-308", year="1985"} @inproceedings{Amano85a, author="Amano, H. and Boku, T. and Kudoh, T. and Aiso, H.", title="A New Version of the Sparse Matrix Solving Machine", booktitle="Proc. 12th International Symposium on Computer Architecture", pages="100-107", year="1985"} @article{Amdahl67a, author="Amdahl, G.", title="The Validity of the Single Processor Approach to Achieving Large Scale Computing Capabilities", journal="AFIPS Conf. Proc.", volume="30", pages="483-485", year="1967"} @article{Amdahl88a, author="Amdahl, G.", title="Limits of Expectation", journal=IJSA, volume="2", number="1", pages="88-97", year="1988"} @article{Anderson65a, author="Anderson, J.", title="Program Structures for Parallel Processing", journal=CACM, volume="8", pages="786-788", year="1965"} @article{Anderson75a, author="Anderson, G. and Jensen, E.", title="Computer Interconnection Structures: {Taxonomy}, Characteristics, and Examples", journal=ACMCS, volume="7", pages="197-213", year="1975"} @article{Anderson86a, author="Anderson, D. and Horowitz, E. and Koniges, A. and McCoy, M.", title="Parallel Computing and Multitasking", journal=CPC, volume="43", pages="69-88", year="1986"} @techreport{Anderson87a, author="Anderson, R. and Grimes, R. and Simon, H.", title="Performance Comparison of the {CRAY} {X}--{MP/24} and the {CRAY}--2", institution=BCS, number="ETA-TR-57", month=jul, year="1987"} @techreport{Anderson87b, author="Anderson, D. and Fry, A. and Gruber, R. and Roy, A.", title="Gigaflop Speed Algorithm for the Direct Solution of Large Block-Tridiagonal Systems in {3D} Physics Applications", institution=LLNL, number="UCRL-96034", note="Submitted to J. Parallel Comput.", year="1987"} @inproceedings{Anderson87c, author="Anderson, D. and Fry, A. and Gruber, R. and Roy, A.", title="Plasma Physics at Gigaflops on the {CRAY}--2", booktitle="Third Symposium on Science and Engineering on Cray Supercomputers, Minneapolis, MN", year="1987"} @inproceedings{Anderson87d, author="Anderson, D. and Gruber, R. and Roy, A.", title="Measurements and Estimates of the {PAMS} Plasma Equilibrium Solver on Existing and Near-Term Supercomputers", booktitle="Twelfth Conf. on Numerical Simulation of Plasmas, San Francisco, CA", note="(Paper PM11)", year="1987"} @inproceedings{Anderson87e, author="Anderson, D. and Gruber, R. and Fry, A. and Roy, A.", title="Parallel Cyclic Reduction Algorithm for the Direct Solution of Large Block-Tridiagonal Systems", booktitle="First International Conference Industrial and Applied Math., Paris", year="1987"} @inproceedings{Anderson87f, author="Anderson, D. and Koniges, A. and McCoy, M. and Mirin, A.", title="A Survey of Linear Systems Solvers on the {NMFECC} System", booktitle="American Physical Society Division of Plasma Physics Meeting, San Diego, CA", note="Paper 6S10", year="1987"} @article{Anderson87g, author="Anderson, R. and Grimes, R. and Riebman, R. and Simon, H.", title="Early Experience with the {SCS}--40", journal="Supercomputer", volume="22", month=nov, pages="26-36", year="1987"} @book{Andre85a, author="Andre, F. and Herman, D. and Varjus, J.", title="Synchronization of Parallel Programs", booktitle="Synchronization of Parallel Programs", publisher="MIT Press", address="Cambridge", year="1985"} @article{Andrews83a, author="Andrews, G. and Schneider, F.", title="Concepts and Notations for Concurrent Programming", journal=ACMCS, volume="15", pages="3-43", year="1983"} @inproceedings{Annaratone86a, author="Annaratone, M. and Arnould, E. and Gross, T. and Kung, H. and Lam, M. and Menzilcioglu, O.", title="{WARP} Architecture and Implementation", booktitle="SPIE Real Time Signal Processing IX", year="1986"} @article{Annaratone87a, author="Annaratone, M. and Arnould, E. and Gross, T. and Kung, H. and Lam, M. and Menzilcioglu, O. and Webb, J.", title="The {Warp} Computer: {Architecture}, Implementation, and Performance", journal=TOC, volume="C-36", pages="1523-1538", year="1987"} @article{Anwar85a, author="Anwar, M. and El Tarzi, M.", title="Asynchronous Algorithms for {Poisson's} Equation with Nonlinear Boundary Conditions", journal="Computing", volume="34", pages="155-168", year="1985"} @techreport{Arenstorf87a, author="Arenstorf, N. and Jordan, H.", title="Comparing Barrier Algorithms", institution="ICASE, " # NLRC, number="87-65", year="1987"} @inproceedings{Armstrong87a, author="Armstrong, J.", title="Optimization of {Householder} Transformations Part {I}. {Linear} Least Squares", booktitle="Proc. 1987 " # ICPP, pages="495-498", year="1987"} @article{Armstrong87b, author="Armstrong, W. and Marsland, T. and Olafsson, M. and Schaeffer, J.", title="Solving Equations of Motion on a Virtual Tree Machine", journal=SISSC, volume="8", pages="s59-s72", year="1987"} @inproceedings{Arnold82a, author="Arnold, C.", title="Performance Evaluation of Three Automatic Vectorizer Packages", booktitle="Proc. 1982 " # ICPP, pages="235-242", year="1982"} @inproceedings{Arnold83a, author="Arnold, C.", title="Vector Optimization on the {CYBER} 205", booktitle="Proc. 1983 " # ICPP, pages="530-536", year="1983"} @article{Arnold83b, author="Arnold, C. and Parr, M. and Dewe, M.", title="An Efficient Parallel Algorithm for the Solution of Large Sparse Linear Matrix Equations", journal=TOC, volume="C-32", pages="265-273", year="1983"} @inproceedings{Arnold84a, author="Arnold, C.", title="Machine Independent Techniques for Scientific Supercomputing", booktitle="Proc. COMPCON 84, IEEE Comp. Sci. Conf.", pages="74-83", year="1984"} @inproceedings{Arpasi86a, author="Arpasi, D. and Milner, E.", title="Mathematical Model Partitioning and Packing for Parallel Computer Calculation", booktitle="Proc. 1986 " # ICPP, pages="67-74", year="1986"} @inproceedings{Arvind79a, author="Arvind and Bryant, R.", title="Parallel Computers for Partial Differential Equations Simulation", booktitle="Proc. Scientific Computer Information Exchange Meeting, Livermore, CA", pages="94-102", year="1979"} @inproceedings{Arvind81a, author="Arvind and Kathail, V.", title="A Multiple Processor Data Flow Machine that Supports Generalized Procedures", booktitle="8th Annual Sym. Comp. Arch.", month=may, pages="291-302", year="1981"} @inproceedings{Arya81a, author="Arya, S. and Calahan, D.", title="Optimal Scheduling of Assembly Language Kernels for Vector Processors", booktitle="19th Allerton Conf. on Comm. Control and Computers, University of Illinois at Urbana-Champaign", year="1981"} @techreport{Ashcraft85a, author="Ashcraft, C.", title="Parallel Reduction Methods for the Solution of Banded Systems of Equations", institution="General Motors", type="Computer Science Tech. Report", month=jun, year="1985"} @techreport{Ashcraft85b, author="Ashcraft, C.", title="A Moving Computation Front Approach for Vectorizing {ICCG} Calculations", institution="General Motors Research Lab.", number="GMR-5174", year="1985"} @techreport{Ashcraft86a, author="Ashcraft, C. and Shook, G. and Jones, J.", title="A Computational Survey of the Conjugate Gradient Preconditioners on the {CRAY} 1-{S}", institution="General Motors Research Lab.", number="GMR-5299", year="1986"} @techreport{Ashcraft87a, author="Ashcraft, C.", title="A Vector Implementation of the Multifrontal Method for Large Sparse, Symmetric Positive Definite Linear Systems", institution=BCS, type="Applied Mathematics Tech. Report", number="ETA-TR-51", year="1987"} @techreport{Ashcraft87b, author="Ashcraft, C.", title="Domain Decoupled Incomplete Factorizations", institution=BCS, type="Applied Mathematics Tech. Report", number="ETA-TR-49", year="1987"} @techreport{Ashcraft87c, author="Ashcraft, C. and Grimes, R.", title="The Influence of Relaxed Supernode Partitions on the Multifrontal Method", institution=BCS, number="ETA-TR-60", year="1987"} @article{Ashcraft87d, author="Ashcraft, C. and Grimes, R. and Lewis, J. and Peyton, B. and Simon, H.", title="Recent Progress in Sparse Matrix Methods for Large Linear Systems on Vector Supercomputers", journal=IJSA, volume="1", pages="10-30", year="1987"} @techreport{Ashcraft87e, author="Ashcraft, C. and Lewis, J. and Peyton, B.", title="A Supernodal Implementation of General Sparse Factorization for Vector Computers", institution=BCS, number="ETA-TR-52", year="1987"} @article{Ashcraft88a, author="Ashcraft, C. and Grimes, R.", title="On Vectorizing Incomplete Factorization and {SSOR} Preconditioners", journal=SISSC, volume="9", pages="122-151", year="1988"} @article{Ashworth88a, author="Ashworth, M. and Lyne, A.", title="A Segmented {FFT} Algorithm for Vector Computers", journal=PC, volume="6", pages="217-224", year="1988"} @incollection{Askew84a, author="Askew, S. and Walkden, F.", title="On the Design and Implementation of a Package for Solving a Class of Partial Differential Equations", crossref="Paddon84a", pages="107-114", year="1984"} @incollection{Asrieli85a, author="Asrieli, V.", title="Base Language of the Programming System of a Vector Processor", booktitle="Computational Processes and Systems", publisher="Izdatel'stvo Nauka", address="Moscow", pages="73-83", year="1985"} @incollection{Asrieli85b, author="Asrieli, V. and Borisov, P.", title="Experience with Programming a Vector Processor for the Solution of the {Navier-Stokes} Equations in a Three-Dimensional Region", booktitle="Computational Processes and Systems", publisher="Izdatel'stvo Nauka", address="Moscow", pages="84-90", year="1985"} @article{Athas88a, author="Athas, W. and Seitz, C.", title="Multicomputers: {Message}-Passing Concurrent Computers", journal="Computer", volume="21", number="8", pages="9-24", year="1988"} @inproceedings{Avila79a, author="Avila, J. and Tomlin, J.", title="Solution of Very Large Least Squares Problems by Nested Dissection on a Parallel Processor", booktitle="Proc. Computer Science and Statistics: Twelfth Annual Symposium on the Interface", editor="Gentleman, J.", publisher="University of Waterloo", address="Waterloo, Ontario, Canada", pages="9-14", year="1979"} @incollection{Avizienis77a, author="Avizienis, A. and Evcegovac, M. and Lang, T. and Sylvain, P. and Thomasian, A.", title="An Investigation of Fault-Tolerant Architectures for Large Scale Numerical Computing", crossref="Kuck77b", pages="159-183", year="1977"} @article{Axelrod86a, author="Axelrod, T.", title="Effects of Synchronization Barriers on Multiprocessor Performance", journal=PC, volume="3", pages="129-140", year="1986"} @article{Axelsson85a, author="Axelsson, O.", title="A Survey of Vectorizable Preconditioning Methods for Large Scale Finite Element Matrix Problems", journal="BIT", volume="25", pages="166-187", year="1985"} @article{Axelsson86a, author="Axelsson, O. and Eijkhout, V.", title="A Note on the Vectorization of Scalar Recursions", journal=PC, volume="3", pages="73-84", year="1986"} @article{Axelsson86b, author="Axelsson, O.", title="Analysis of Incomplete Matrix Factorizations as Multigrid Smoothers for Vector and Parallel Computers", journal=AMC, volume="19", number="1-4", note="(Special Issue, Proceedings of the Second Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, S. McCormick, ed.)", month=jul, year="1986"} @article{Axelsson88a, author="Axelsson, O.", title="Incomplete Block Matrix Factorization Preconditioning Methods. {The} Ultimate Answer?", journal=JCAM, volume="12/13", pages="3-18", year="1988"} @inproceedings{Aykanat86a, author="Aykanat, C. and Doraivelu, S. and Sadayappan, P. and Schwan, K. and Weide, B.", title="Parallel Computers and Finite Element Analysis", booktitle="1986 ASME Int. Conf. Computers in Engineering", pages="43-50", year="1986"} @inproceedings{Aykanat87a, author="Aykanat, C. and Ozguner, F.", title="Large Grain Parallel Conjugate Gradient Algorithms on a Hypercube Multiprocessor", booktitle="Proc. 1987 " # ICPP, pages="641-644", year="1987"} @inproceedings{Aykanat87b, author="Aykanat, C. and Ozguner, F. and Martin, S. and Doraivelu, S.", title="Parallelization of a Finite Element Application Program on a Hypercube Multiprocessor", crossref="Heath87b", pages="662-673", year="1987"} @article{Babb84a, author="Babb, R.", title="Parallel Processing with Large-Grain Data Flow Techniques", journal="Computer", volume="17", number="7", pages="55-61", year="1984"} @incollection{Babb86a, author="Babb, R.", title="Parallel Processing on the {CRAY} {X}-{MP} with Large-Grain Data Flow Techniques", crossref="Fernbach86a", pages="239-251", year="1986"} @techreport{Babb86b, author="Babb, R. and Storc, L. and Hiromoto, R.", title="Developing a Parallel {Monte} {Carlo} Transport Algorithm Using Large-Grain Data Flow", institution=LANL, number="LA-UR-86-2080", year="1986"} @techreport{Babuska88a, author="Babuska, I. and Elman, H.", title="Some Aspects of Parallel Implementation of the Finite Element Method on Message Passing Architectures", institution=DCS # ", University of Maryland", number="CS-TR-2030", year="1988"} @techreport{Baden86a, author="Baden, S.", title="Dynamic Load Balancing of a Vortex Calculation Running on Multiprocessors", institution=LBL, number="LBL-22584", month=dec, year="1986"} @article{Baer73a, author="Baer, J.-L.", title="A Survey of Some Theoretical Aspects of Multiprocessing", journal=ACMCS, volume="5", pages="31-80", year="1973"} @article{Baer77a, author="Baer, J.-L.", title="Multiprocessing Systems", journal=TOC, volume="C-25", pages="1271-1277", year="1977"} @incollection{Baer80a, author="Baer, J.-L.", title="Supercomputers", booktitle="Computer Systems Architecture", publisher="Computer Science Press", address="Los Alamitos, CA", year="1980"} @article{Baer84a, author="Baer, J.-L.", title="Computer Architecture", journal="Computer", volume="17", number="10", pages="77-87", year="1984"} @article{Bailey87a, author="Bailey, D.", title="A High Performance Fast {Fourier} Transform Algorithm for the {CRAY}-2", journal="J. Supercomputing", volume="1", pages="43-60", year="1987"} @article{Bailey87b, author="Bailey, D. and Cuny, J. and MacLeod, B.", title="Reducing Communication Overhead: {A} Parallel Code Optimization", journal=JPDC, volume="4", pages="505-520", year="1987"} @article{Bailey88a, author="Bailey, D.", title="Extra High Speed Matrix Multiplication on the {Cray}--2", journal=SISSC, volume="8", pages="603-607", year="1988"} @techreport{Bajaj87a, author="Bajaj, E. and Dyksen, W. and Hoffman, C. and Houstis, E. and Korb, J. and Rice, J.", title="Computing about Physical Objects", institution=DCS # ", Purdue University", number="TR-696", year="1987"} @article{Baker78a, author="Baker, K. and Schrage, L.", title="Finding an Optimal Sequence by Dynamic Programming: {An} Extension to Precedence-Related Tasks", journal=OR, volume="26", pages="111-120", year="1978"} @inproceedings{Ballhaus84a, author="Ballhaus, W.", title="Computational Aerodynamics and Supercomputers", booktitle="Proc. COMPCON 84, IEEE Comp. Soc. Conf.", pages="3-14", year="1984"} @article{Bar-on87a, author="Bar-on, I.", title="A Practical Parallel Algorithm for Solving Band Symmetric Positive Definite Systems of Linear Equations", journal=ACMTMS, volume="13", pages="323-332", year="1987"} @article{Barkai83a, author="Barkai, D. and Brandt, A.", title="Vectorized Multigrid {Poisson} Solver for the {CDC} {CYBER} 205", journal=AMC, volume="13", number="3-4", pages="215-228", note="(Special Issue, Proceedings of the First Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, S. McCormick and U. Trottenberg, eds.)", month=nov, year="1983"} @article{Barkai84a, author="Barkai, D. and Moriarty, K. and Rebbi, C.", title="A Highly Optimized Vectorized Code for {Monte} {Carlo} Simulation of {SU}(3) Lattice Gauge Theories", journal=CPC, volume="32", pages="1-9", year="1984"} @inproceedings{Barkai84b, author="Barkai, D. and Moriarty, K. and Rebbi, C.", title="A Highly Optimized Vectorized Code for {Monte} {Carlo} Simulation of {SU}(3) Lattice Gauge Theories", booktitle="Proc. 1984 " # ICPP, pages="101-108", year="1984"} @inproceedings{Barkai84c, author="Barkai, D. and Moriarty, K. and Rebbi, C.", title="A Modified Conjugate Gradient Solver for Very Large Systems", crossref="Numrich85a", year="1984"} @article{Barkai85a, author="Barkai, D. and Moriarty, K. and Rebbi, C.", title="A Modified Conjugate Gradient Solver for Very Large Systems", journal="Comp. Phys. Comm.", volume="36", pages="1-8", year="1985"} @inproceedings{Barkai85b, author="Barkai, D. and Moriarty, K. and Rebbi, C.", title="A Modified Conjugate Gradient Solver for Very Large Systems", booktitle="Proc. 1985 " # ICPP, pages="284-290", year="1985"} @article{Barkai86a, author="Barkai, D. and Moriarty, K.", title="Application Development on the {CDC} {Cyber} 205", journal=CPC, volume="40", pages="159-172", year="1986"} @techreport{Barkai86b, author="Barkai, D. and Moriarty, K.", title="Vectorization of the Multigrid Method: {The} Two-Dimensional {Poisson} Equation", institution="University of Minnesota", number="UMSI 86145", month=sep, year="1986"} @article{Barkai87a, author="Barkai, D. and Campostrini, M. and Moriarty, K. and Rabbi, L.", title="Applications Development of the {ETA}--10", journal=CPC, volume="46", pages="13-33", year="1987"} @article{Barlow82a, author="Barlow, R. and Evans, D.", title="Synchronous and Asynchronous Iterative Parallel Algorithms for Linear Systems", journal="Comput. J.", volume="25", pages="56-60", year="1982"} @inproceedings{Barlow82b, author="Barlow, R. and Evans, D. and Shanehchi, J.", title="Comparative Study of the Exploitation of Different Levels of Parallelism on Different Parallel Architectures", booktitle="Proc. 1982 " # ICPP, pages="34-40", year="1982"} @article{Barlow83a, author="Barlow, R. and Evans, D. and Shanehchi, J.", title="Parallel Multisection Applied to the Eigenvalue Problem", journal="Comput. 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Montry", title="Overview of Preconditioned Conjugate Gradient ({PCG}) Methods in Concurrent Finite Element Analysis", institution="Sandia National Laboratory", number="SAND-85-2727", address="Albuquerque, NM", year="1986"} @article{Benson84a, author="Benson, M. and Krettmann, J. and Wright, M.", title="Parallel Algorithms for the Solution of Certain Large Sparse Linear Sustems", journal=IJCM, volume="16", pages="245-260", year="1984"} @inproceedings{Benson87a, author="Benson, M. and Frederickson, P.", title="Fast Parallel Algorithms for the {Moore}-{Penrose} Pseudo-Inverse", crossref="Heath87b", pages="597-604", year="1987"} @inproceedings{Benson88a, author="Benson, M. and Frederickson, P.", title="Fast Pseudo-Inverse Algorithms on Hypercubes", crossref="McCormick88b", year="1988"} @article{Benyon85a, author="Benyon, P.", title="Exploiting Vector Computers for Simulation", journal=MCS, volume="27", pages="121-127", year="1985"} @inproceedings{Berendsen84a, author="Berendsen, H. and van Gunsteren, W. and Postma, J.", title="Molecular Dynamics on {CRAY}, {CYBER} and {DAP}", crossref="Kowalik84a", pages="425-438", year="1984"} @incollection{Berger81a, author="Berger, M. and Oliger, J. and Rodrigue, G.", title="Predictor-Corrector Methods for the Solution of Time Dependent Parabolic Problems on Parallel Processors", crossref="Schultz81a", pages="197-202", year="1981"} @inproceedings{Berger82a, author="Berger, P. and Brouaye, P. and Syre, J.", title="A Mesh Coloring Method for Efficient {MIMD} Processing in Finite Element Problems", booktitle="Proc. 1982 " # ICPP, pages="41-46", year="1982"} @inproceedings{Berger85a, author="Berger, M. and Bokhari, S.", title="A Partitioning Strategy for {PDE}'s Across Multiprocessors", booktitle="Proc. 1985 " # ICPP, pages="166-170", year="1985"} @article{Berger85b, author="Berger, P. and Dayde, M. and Fraboul, C.", title="Experience in Parallelizing Numerical Algorithms for {MIMD} Architecture Use of Asynchronous Methods", journal="La Recherche Aerospatiale", volume="5", pages="325-340", year="1985"} @article{Berger87a, author="Berger, M. and Bokhari, S.", title="Partitioning Strategy for Non-Uniform Problems on Multiprocessors", journal=TOC, volume="C-36", pages="570-580", year="1987"} @inproceedings{Bergmark87a, author="Bergmark, D. and Francioni, J. and Helminen, B. and Poplawski, D.", title="On the Performance of the {FPS} {T}--Series Hypercube", crossref="Heath87b", pages="193-199", year="1987"} @article{Berman87a, author="Berman, F. and Snyder, L.", title="On Mapping Parallel Algorithms into Parallel Architectures", journal=JPDC, volume="4", pages="439-458", year="1987"} @article{Bernard82a, author="Bernard, L. and Helton, F.", title="A Vectorizable Eigenvalue Solver for Sparse Matrices", journal=CPC, volume="25", pages="73-79", year="1982"} @article{Bernstein86a, author="Bernstein, H. and Goldstein, M.", title="Parallel Implementation of Bisection for the Calculation of Eigenvalues of Tridiagonal Symmetric Matrices", journal="Computing", volume="37", pages="85-91", year="1986"} @article{Bernstein88a, author="Bernstein, H. and Goldstein, M.", title="Optimizing {Givens'} Algorithm for Multiprocessors", journal=SISSC, volume="8", pages="601-602", year="1988"} @article{Berry85a, author="Berry, M. and Plemmons, R.", title="Computing a Banded Basis of the Null Space on the {Denelcor} {HEP} Multiprocessor", journal="Contemporary Math.", volume="47", pages="7-23", year="1985"} @inproceedings{Berry85b, author="Berry, M. and Plemmons, R.", title="Parallel Algorithms for Finite Element Structural Analysis on the {HEP} Multiprocessor", booktitle="Proc. Denelcor Workshop on the HEP", publisher="University of Oklahoma", month=mar, year="1985"} @techreport{Berry86a, author="Berry, M. and Gallivan, K. and Harrod, W. and Jalby, W. and Lo, S. and Meier, U. and Phillippe, B. and Sameh, A.", title="Parallel Algorithms on the {Cedar} System", institution=CSRD # ", University of Illinois at Urbana-Champaign", number="581", month=oct, year="1986"} @inproceedings{Berry86b, author="Berry, M. and Sameh, A.", title="Multiprocessor {Jacobi} Algorithms for Dense Symmetric Eigenvalue and Singular Value Decompositions", booktitle="Proc. 1986 " # ICPP, pages="433-440", year="1986"} @article{Berry87a, author="Berry, M. and Plemmons, R.", title="Algorithms and Experiments for Structural Mechanics on High Performance Architectures", journal=CMAME, volume="64", pages="487-508", year="1987"} @techreport{Berry87b, author="Berry, M. and Sameh, A.", title="A Multiprocessor Scheme for the Singular Value Decomposition", institution=CSRD # ", University of Illinois at Urbana-Champaign", number="690", month=aug, year="1987"} @article{Bertsekas82a, author="Bertsekas, D.", title="Distributed Dynamic Programming", journal="IEEE Trans. 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", Cornell University", number="TR 96-740", year="1986"} @incollection{Bischof86b, author="Bischof, C. and Van Loan, C.", title="Computing the Singular Value Decomposition on a Ring of Array Processors", booktitle="Large Scale Eigenvalue Problems", editor="Cullum, J. and Willoughby, R.", publisher="North-Holland", address="Amsterdam", year="1986"} @inproceedings{Bischof87a, author="Bischof, C.", title="The Two-Sided Block {Jacobi} Method on a Hypercube", crossref="Heath87b", pages="612-618", year="1987"} @article{Bischof87b, author="Bischof, C. and Van Loan, C.", title="The {WY} Representation for Products of {Householder} Matrices", journal=SISSC, volume="8", pages="s2-s13", year="1987"} @incollection{Bjorstad84a, author="{Bj\o rstad}, P. and Widlund, O.", title="Solving Elliptic Problems on Regions Partitioned into Substructures", crossref="Birkhoff84a", pages="245-255", year="1984"} @article{Bjorstad86a, author="{Bj\o rstad}, P. and Widlund, O.", title="Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures", journal=SINUM, volume="23", pages="1097-1121", year="1986"} @article{Bjorstad87a, author="{Bj\o rstad}, P.", title="A Large Scale, Sparse, Secondary Storage, Direct Linear Equation Solver for Structural Analysis and its Implementation on Vector and Parallel Architectures", journal=PC, volume="5", pages="3-12", year="1987"} @inproceedings{Bjorstad88a, author="{Bj\o rstad}, P. and Hvidsten, A.", title="Iterative Methods for Substructured Elascticity Problems in Structural Analysis", crossref="Glowinski88a", pages="301-312", year="1988"} @incollection{Blum82a, author="Blum, E.", title="Programming Parallel Numerical Algorithms in {Ada}", booktitle="The Relationship between Numerical Computation and Programming Languages", editor="Reid, J. 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Michelsen Institute", address="Bergen, Norway", number="CCS 86/10", year="1986"} @article{Chamberlain86b, author="Chamberlain, R.", title="Experiences with the {Intel} {iPSC} Hypercube", journal="Supercomputer", volume="16", pages="24-29", year="1986"} @inproceedings{Chamberlain87a, author="Chamberlain, R.", title="An Alternative View of {LU} Factorization with Partial Pivoting on a Hypercube Multiprocessor", crossref="Heath87b", pages="569-575", year="1987"} @inproceedings{Chamberlain87b, author="Chamberlain, R. and Frederickson, P. and Lindheim, J. and Petersen, J.", title="A High Level Library for Hypercubes", crossref="Heath87b", pages="651-655", year="1987"} @article{Chamberlain88a, author="Chamberlain, R.", title="Gray Codes, Fast {Fourier} Transforms, and Hypercubes", journal=PC, volume="6", pages="225-234", year="1988"} @article{Chan85a, author="Chan, T. and Schreiber, R.", title="Parallel Networks for Multigrid Algorithms: {Architecture} and Complexity", journal=SISSC, volume="6", pages="698-711", year="1985"} @techreport{Chan85b, author="Chan, T. and Saad, Y.", title="Multigrid Algorithms on the Hypercube Multiprocessor", institution=DCS # ", Yale University", number="YALEU/DCS/RR-368", address="New Haven, CT", month=feb, year="1985"} @techreport{Chan85c, author="Chan, T. and Saad, Y. and Schultz, M.", title="Solving Elliptic Partial Differential Equations on the Hypercube Multiprocessor", institution=DCS # ", Yale University", number="YALEU/DCS/RR-373", month=mar, year="1985"} @techreport{Chan85d, author="Chan, T. and Schreiber, R.", title="Multigrid Algorithms on the Hypercube Multiprocessor", institution=DCS # ", Yale University", number="368", year="1985"} @article{Chan86a, author="Chan, T. and Saad, Y.", title="Multigrid Algorithms on the Hypercube Multiprocesor", journal=TOC, volume="C-35", pages="969-977", year="1986"} @article{Chan87a, author="Chan, T.", title="Analysis of Preconditioners for Domain Decomposition", journal=SINUM, volume="27", pages="382-390", year="1987"} @inproceedings{Chan87b, author="Chan, T.", title="On the Implementation of Kernel Numerical Algorithms for Computational Fluid Dynamics on Hypercubes", crossref="Heath87b", pages="747-755", year="1987"} @article{Chan87c, author="Chan, T. and Resasco, D.", title="A Domain-Decomposed Fast {Poisson} Solver on a Rectangle", journal=SISSC, volume="8", pages="s14-s26", year="1987"} @inproceedings{Chan87d, author="Chan, T. and Resasco, D.", title="Hypercube Implementation of Domain Decomposed Fast {Poisson} Solvers", crossref="Heath87b", pages="738-746", year="1987"} @article{Chan87e, author="Chan, T. and Saad, Y. and Schultz, M.", title="Solving Elliptic Partial Differential Equations on the Hypercube Multiprocessor", journal=CANM, volume="3", pages="81-88", year="1987"} @inproceedings{Chan87f, author="Chan, T. and Tuminaro, R.", title="Implementation of Multigrid Algorithms on Hypercubes", crossref="Heath87b", pages="730-737", year="1987"} @techreport{Chan87g, author="Chan, T. and Tuminaro, R.", title="A Survey of Parallel Multigrid Algorithms", institution="Department of Mathematics, UCLA", type="CAM Report", number="87-16", year="1988"} @inproceedings{Chan88a, author="Chan, T. and Resasco, D.", title="A Framework for the Analysis and Construction of Domain Decomposition Preconditioners", crossref="Glowinski88a", pages="217-230", year="1988"} @techreport{Chan88b, author="Chan, T. and Hou, T.", title="Domain Decomposition Preconditioners for General Second Order Elliptic Problems", institution="Department of Mathematics, UCLA", type="CAM Report", number="88-16", year="1988"} @inproceedings{Chan88c, author="Chan, T. and Tuminaro, R.", title="Design and Implementation of Parallel Multigrid Algorithms", crossref="McCormick88b", pages="101-115", year="1988"} @inproceedings{Chan88d, author="Chan, T. and Tuminaro, R.", title="Implementation and Evaluation of Multigrid Algorithms on Hybercubes", crossref="McCormick88b", year="1988"} @phdthesis{Chandra78a, author="Chandra, R.", title="Conjugate Gradient Methods for Partial Differential Equations", school="Yale University", address=DCS, year="1978"} @inproceedings{Chang82a, author="Chang, S.", title="Borehole Acoustic Simulation on Vector Computers", crossref="Control82a", year="1982"} @article{Chang88a, author="Chang, H. and Utku, S. and Salama, M. and Rapp, D.", title="A Parallel {Householder} Tridiagonalization Strategem Using Scattered Square Decomposition", journal=PC, volume="6", pages="297-312", year="1988"} @article{Chang88b, author="Chang, H. and Utku, S. and Salama, M. and Rapp, D.", title="A Parallel {Householder} Tridiagonalization Strategem Using Scattered Row Decomposition", journal="I. 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Appl.", volume="13", pages="681-86", year="1987"} @article{Cowell86a, author="Cowell, W. and Thompson, C.", title="Transforming {Fortran} {DO} Loops to Improve Performance on Vector Architectures", journal=ACMTMS, volume="12", pages="324-353", year="1986"} @inproceedings{Cox83a, author="Cox, M.", title="Ocean Modeling on the {Cyber} 205 at {GFDL}", crossref="Gary84a", pages="27-32", year="1983"} @techreport{Cox88a, author="Cox, C.", title="Implementation of a Divide and Conquer Cyclic Reduction Algorithm on the {FPS} {T}-20 Hypercube", institution="Department of Mathematical Sciences, Clemson University", number="URI-037", month=jan, year="1988"} @techreport{Crane86a, author="Crane, R. and Minkoff, M. and Hillstrom, K. and King, S.", title="Performance Modeling of Large-Grained Parallelism", institution=ANL, number="ANL/MLS-TM-63", month=mar, year="1986"} @proceedings{Cray82a, organization="{Cray Research, Inc.}", title="Science, Engineering and the CRAY--1, Proceedings of a Cray Research Inc. 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Symposium", year="1982"} @techreport{Crockett87a, author="Crockett, T.", title="Performance of {Fortran} Floating-Point Operations on the {Flex}/32 Multicomputer", institution="ICASE, " # NLRC, type="ICASE Interim Report", number="4", address="Hampton, VA", year="1987"} @inproceedings{Crowther85a, author="Crowther, W. and Goodhue, J. and Starr, E. and Thomas, R. and Milliken, W. and Blackadar, T.", title="Performance Measurements on a 128-Node {Butterfly} Parallel Processor", booktitle="Proc. 1985 " # ICPP, pages="531-540", year="1985"} @article{Crutchfield87a, author="Crutchfield, B.", title="A Vectorizing {C} Compiler", journal="Supercomputer", volume="19", pages="27-36", year="1987"} @article{Csanky76a, author="Csanky, L.", title="Fast Parallel Matrix Inversion Algorithms", journal=SICOMP, volume="5", pages="618-623", year="1976"} @article{Cullen83a, author="Cullen, M.", title="Current Progress and Prospects in Numerical Techniques for Weather Prediction Models", journal="J. Comp. Phys.", volume="50", pages="1-37", year="1983"} @article{Cuppen81a, author="Cuppen, J.", title="A Divide and Conquer Method for the Symmetric Tridiagonal Eigenproblem", journal="Numer. Math.", volume="36", pages="177-195", year="1981"} @techreport{Cvetanovic86a, author="Cvetanovic, Z.", title="Performance Analysis of the {FFT} Algorithm on a Shared Memory Parallel Architecture", institution="IBM T. J. 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Inst., Univ. Amsterdam", number="86-21", year="1986"} @techreport{DeVore84a, author="De Vore, C.", title="Vectorization and Implementation of an Efficient Multigrid Algorithm for the Solution of Elliptic Partial Differential Equations", institution="Naval Research Laboratory", type="Memorandum Report", number="5504", year="1984"} @inproceedings{Deiwert83a, author="Deiwert, G. and Rothmund, H.", title="Three Dimensional Flow Over a Conical Afterbody Containing a Centered Propulsive Jet: {A} Numerical Simulation", booktitle="AIAA 16th Fluid and Plasma Dynamics Conference", note="Also in Gary \cite{Gary84a}, pp. 187-200", year="1983"} @article{Dekel81a, author="Dekel, E. and Nassimi, D. and Sahni, S.", title="Parallel Matrix and Graph Algorithms", journal=SICOMP, volume="10", pages="657-673", year="1981"} @inproceedings{Delosme81a, author="Delosme, J.-M. and Morf, M.", title="Scattering Arrays for Matrix Computations", booktitle="SPIE 25th Tech. Symp., San Diego, CA", year="1981"} @article{Delosme86a, author="Delosme, J.-M. and Ipsen, I.", title="Parallel Solution of Symmetric Positive Definite Systems with Hyperbolic Rotations", journal=LAA, volume="77", pages="75-111", year="1986"} @techreport{Delosme87a, author="Delosme, J.-M.", title="A Processor for Two-Dimensional Symmetric Eigenvalue and Singular Value Arrays", institution=DCS # ", Yale University", number="YALEU/DCS/RR-540", month=may, year="1987"} @incollection{Delosme87b, author="Delosme, J.-M. and Ipsen, I.", title="Efficient Systolic Arrays for the Solution of {Toeplitz} Systems: {An} Illustration of a Methodology for the Construction of Systolic Architectures in {VLSI}", booktitle="Systolic Arrays", publisher="Adam Hilger, Ltd.", address="Bristol", pages="37-46", year="1987"} @article{Delsarte80a, author="Delsarte, Ph. and Genin, Y. and Kamp, Y.", title="A Method of Matrix Inverse Triangular Decomposition Based on Contiguous Principal Submatrices", journal=LAA, volume="31", pages="194-212", year="1980"} @incollection{Delves84a, author="Delves, L. and Samba, A. and Hendry, J.", title="Band Matrices on the {DAP}", crossref="Paddon84a", pages="167-183", year="1984"} @incollection{Dembart77a, author="Dembart, B. and Neves, K.", title="Sparse Triangular Factorization on Vector Computers", booktitle="Exploring Applications of Parallel Processing to Power System Analysis, Report EE 566-SR", publisher="Electric Power Research Institute", year="1977"} @article{Deminet82a, author="Deminet, J.", title="Experience with Multiprocessor Algorithms", journal=TOC, volume="C-31", pages="278-288", year="1982"} @article{Denning85a, author="Denning, P.", title="Parallel Computation", journal="American Scientist", volume="73", pages="322-323", year="1985"} @techreport{Denning87a, author="Denning, P.", title="Evaluating Supercomputers", institution="RIACS, " # NARC, number="TR-87.2", month=jan, year="1987"} @inproceedings{Denning87b, author="Denning, P. and Adams, G.", title="Research Questions for Performance Analysis of Supercomputers", booktitle="Proceedings of the International Symposium on Large Scale Scientific Computation", publisher="North-Holland", address="Amsterdam, Netherlands", year="1987"} @incollection{Dennis77a, author="Dennis, J. and Weng, K.", title="Application of Data Flow Computation to the Weather Problem", crossref="Kuck77b", pages="143-157", year="1977"} @article{Dennis80a, author="Dennis, J.", title="Data Flow Supercomputers", journal="Computer", volume="13", number="11", pages="48-56", year="1980"} @techreport{Dennis82a, author="Dennis, J.", title="High Speed Data Flow Computer Architecture for the Solution of the {Navier}-{Stokes} Equations", institution=MIT # " Laboratory for Computer Science", year="1982"} @techreport{Dennis84a, author="Dennis, J.", title="High Speed Data Flow Computer Architecture for the Solution of the {Navier}-{Stokes} Equations", institution=MIT # " Laboratory for Computer Science", type="Computation Structures Group Memo", number="225", year="1984"} @inproceedings{Dennis84b, author="Dennis, J.", title="Data Flow Ideas for Supercomputers", booktitle="Proc. COMPCON 84, IEEE Comp. Soc. Conf.", pages="15-20", year="1984"} @article{Dennis84c, author="Dennis, J. and Gao, G. and Todd, K.", title="Modeling the Weather with a Dataflow Supercomputer", journal=TOC, volume="C-33", pages="592-603", year="1984"} @inproceedings{Deutsch84a, author="Deutsch, J. and Newton, A.", title="A Multiprocessor Implementation of Relaxation Based Electrical Circuit Simulation", booktitle="Proc. 21st Design Automation Conference", year="1984"} @inproceedings{Deutsch84b, author="Deutsch, J. and Newton, A.", title="{MSLICE}: {A} Multiprocessor Based Circuit Simulator", booktitle="Proc. 1984 " # ICPP, pages="207-214", year="1984"} @phdthesis{Deutsch85a, author="Deutsch, J.", title="Algorithms and Architecture for Multiprocessor-Based Circuit Simulation", school="University of California, Berkeley", address="Electronics Research Laboratory", year="1985"} @book{Devreese85a, editor="Devreese, J. and Van Camp, P.", title="Supercomputers in Theoretical and Experimental Science", booktitle="Supercomputers in Theoretical and Experimental Science", publisher="Plenum Publishing Corp.", address="New York, NY", year="1985"} @incollection{Dewey87a, author="Dewey, D. and Patera, A.", title="Geometry-defining Processors for Partial Differential Equations", booktitle="Architecture and Performance of Specialized Computer Systems", editor="Alder, B.", publisher="Academic Press", year="1987"} @article{Dhall78a, author="Dhall, S. and Liu, C.", title="On a Real-Time Scheduling Problem", journal=OR, volume="26", pages="127-140", year="1978"} @inproceedings{Diamond75a, author="Diamond, M.", title="The Stability of a Parallel Algorithm for the Solution of Tridiagonal Linear Systems", booktitle="Proc. 1975 Sagamore Conf. Par. Proc.", pages="235", year="1975"} @techreport{Diaz85a, author="Diaz, J. and Bette, S. and Jines, W. and Steihang, T.", title="Development and Performance of a Block Pre-Conditioned Iterative Solver for Linear Systems in Thermal Simulation", institution="School of Electrical Engineering and Computer Science, University of Oklahoma", number="OU-PPI-TR-85-05", month=jan, year="1985"} @inproceedings{Diaz85b, author="Diaz, J. and Jines, W. and Steihang, T.", title="On a Convergence Criterion for Linear (Inner) Iterative Solvers for Reservoir Simulation", booktitle="Proc. SPE 1985 Res. Simul. Symp., Dallas, TX", month=feb, pages="41-47", year="1985"} @inproceedings{Diaz86a, author="Diaz, J.", title="Calculating the Block Preconditioner on Parallel Multivector Processors", booktitle="Proc. Workshop on Applied Computing in the Energy Field, Stillwater, OK", year="1986"} @article{Diaz86b, author="Diaz, J. and Jines, W. and McDonald, A. and Steihang, T.", title="Block Diagonal Scaling for Iterative Methods --- {Thermal} Simulation", journal="Comm. Applied Numer. Methods", note="To appear", year="1986"} @inproceedings{Diekkamper84a, author="Diekkamper, R.", title="Vectorized Finite Element Analysis of Nonlinear Problems in Structural Analysis", crossref="Feilmeier84a", pages="293-298", year="1984"} @inproceedings{Dinh81a, author="Dinh, Q. and Glowinski, R. and Mantel, B. and Periaux, J. and Perrier, P.", title="Subdomain Solutions of Nonlinear Problems in Fluid Dynamics on Parallel Processors", booktitle="5th International Symposium on Computational Methods in Applied Sciences and Engineering, Versailles, France", publisher="North-Holland", year="1981"} @phdthesis{Dinh82a, author="Dinh, Q.", title="Simulation Num\'erique en El\'ements Finis d'\'ecoulements de Fluides Visqueux Incompressibles par Une M\'ethode de D\'ecomposition de Domaines Sur Processeurs Vectori\`els", school="Univ. P. et M. Curie", address="Paris", year="1982"} @techreport{Dixon82a, author="Dixon, L. and Ducksbury, P. and Singh, P.", title="A Parallel Version of the Conjugate Gradient Algorithm for Finite Element Problems", institution="NOC", number="132", address="Hatfield, Herts.", year="1982"} @techreport{Dixon82b, author="Dixon, L. and Patel, K.", title="The Place of Parallel Computing in Numerical Optimization: {Four} Parallel Algorithms for Nonlinear Optimization", institution="NOC", number="125", address="Hatfield, Herts.", year="1982"} @techreport{Dodson81a, author="Dodson, D.", title="Preliminary Timing Study for the {CRAYPACK} Library", institution=BCS, type="Internal Memorandum", number="G4550-CM-39", adress="Seattle, WA", year="1981"} @inproceedings{Dodson82a, author="Dodson, D. and Lewis, J.", title="Improving the Performance of a Sparse Matrix Solver on the {CRAY}-1", crossref="Cray82a", pages="13-15", year="1982"} @article{Dodson85a, author="Dodson, D. and Lewis, J.", title="Issues Relating to Extension of the Basic Linear Algebra Subprograms", journal="ACM SIGNUM Newsletter", volume="20", number="1", pages="2-18", year="1985"} @inproceedings{Doi87a, author="Doi, S. and Harada, N.", title="A Preconditioning Algorithm for Solving Nonsymmetric Linear Systems Suitable for Supercomputers", crossref="Kartashev87a", pages="503-509", year="1987"} @inproceedings{Dongarra78a, author="Dongarra, J.", title="Some {LINPACK} Timings on the {CRAY}--1", booktitle="Proc. 1978 LASL Workshop on Vector and Parallel Processors", pages="58-75", year="1978"} @article{Dongarra79a, author="Dongarra, J. and Hinds, A.", title="Unrolling Loops in {FORTRAN}", journal="Softw. Pract. Exper.", volume="9", pages="219-229", year="1979"} @article{Dongarra83a, author="Dongarra, J.", title="Redesigning Linear Algebra Algorithms", journal="E.D.F. Bulletin de la Direction des Etudes et des Recherches", volume="C", number="1", pages="51-59", year="1983"} @techreport{Dongarra83b, author="Dongarra, J. and Hiromoto, R.", title="A Collection of Parallel Linear Equations Routines for the {Denelcor} {HEP}", institution=ANL, number="ANL/MCS-TM-15", address="Argonne, IL", month=sep, year="1983"} @inproceedings{Dongarra84a, author="Dongarra, J.", title="Increasing the Performance of Mathematical Software through High-Level Modularity", booktitle="Proc. Sixth Int. Symp. Comp. Methods in Eng. \& Applied Sciences, Versailles, France", publisher="North-Holland", pages="239-248", year="1984"} @techreport{Dongarra84b, author="Dongarra, J. and DuCroz, J. and Hammarling, S. and Hanson, R.", title="A Proposal for an Extended Set of {Fortran} Basic Linear Algebra Subprograms", institution="Mathematics and Computer Science Division, " # ANL, type="Technical Memo", number="41", month=dec, year="1984"} @article{Dongarra84c, author="Dongarra, J. and Eisenstat, S.", title="Squeezing the Most out of an Algorithm in {CRAY}--{FORTRAN}", journal=ACMTMS, volume="10", pages="221-230", year="1984"} @article{Dongarra84d, author="Dongarra, J. and Gustavson, F. and Karp, A.", title="Implementing Linear Algebra Algorithms for Dense Matrices on a Vector Pipeline Machine", journal=SIREV, volume="26", pages="91-112", year="1984"} @article{Dongarra84e, author="Dongarra, J. and Hiromoto, R.", title="A Collection of Parallel Linear Equation Routines for the {Denelcor} {HEP}", journal=PC, volume="1", pages="133-142", year="1984"} @techreport{Dongarra84f, author="Dongarra, J. and Sameh, A.", title="On Some Parallel Banded System Solvers", institution=ANL, number="ANL/MCS-TM-27", year="1984"} @techreport{Dongarra84g, author="Dongarra, J. and Sorenson, D.", title="A Parallel Linear Algebra Library for the {Denelcor} {HEP}", institution=ANL, number="ANL/MCS/TM-33", year="1984"} @techreport{Dongarra85a, author="Dongarra, J.", title="Performance of Various Computers Using Standard Linear Equations Software in a {Fortran} Environment", institution=ANL, number="MCA-TM-23", year="1985"} @techreport{Dongarra85b, author="Dongarra, J. and Hinds, A.", title="Comparison of the {CRAY} {X}--{MP}--4, {Fujitsu} {VP}--200 and {Hitachi} {S}--810/20. {An} {Argonne} Perspective", institution=ANL, number="ANL-8579", month=oct, year="1985"} @inproceedings{Dongarra85c, author="Dongarra, J. and Sorensen, D.", title="A Fast Algorithm for the Symmetric Eigenvalue Problem", booktitle="IEEE Proceedings of the 7th Symposium on Computer Arithmetic", address="Urbana", pages="338-342", year="1985"} @article{Dongarra86a, author="Dongarra, J.", title="How do the Mini-Supers Stack Up?", journal="Computer", volume="19", number="3", pages="92", year="1986"} @article{Dongarra86b, author="Dongarra, J. and DuCroz, J. and Hammarling, S. and Hanson, R.", title="An Update Notice on the Extended {BLAS}", journal="ACM SIGNUM Newsletter", volume="21", number="4", pages="2-4", year="1986"} @techreport{Dongarra86c, author="Dongarra, J. and Duff, I.", title="Performance of Vector Computers for Direct and Indirect Addressing in {Fortran}", institution="Harwell Laboratory", type="{Harwell} Report", year="1986"} @article{Dongarra86d, author="Dongarra, J. and Hewitt, T.", title="Implementing Dense Linear Algebra Algorithms Using Multitasking on the {CRAY} {X}-{MP}-4 (or, {Approaching} the Gigaflop)", journal=SISSC, volume="7", pages="347-350", year="1986"} @article{Dongarra86e, author="Dongarra, J. and Kaufman, L. and Hammarling, S.", title="Squeezing the Most Out of Eigenvalue Solvers on High Performance Computers", journal=LAA, volume="77", pages="113-136", year="1986"} @article{Dongarra86f, author="Dongarra, J. and Sameh, A. and Sorensen, D.", title="Implementation of Some Concurrent Algorithms for Matrix Factorization", journal=PC, volume="3", pages="25-34", year="1986"} @article{Dongarra86g, author="Dongarra, J. and Sorensen, D.", title="Linear Algebra on High Performance Computers", journal=AMC, volume="20", pages="57-88", year="1986"} @book{Dongarra87a, editor="Dongarra, J.", title="Experimental Parallel Computing Architectures", booktitle="Experimental Parallel Computing Architectures", publisher="North-Holland", year="1987"} @article{Dongarra87b, author="Dongarra, J. and DuCroz, J. and Duff, I. and Hammarling, S.", title="A Proposal for a Set of Level 3 Basic Linear Algebra Subprograms", journal="ACM SIGNUM Newsletter", volume="22", number="3", pages="2-14", year="1987"} @techreport{Dongarra87c, author="Dongarra, J. and Duff, I.", title="Advanced Architecture Computers", institution=ANL, number="ANL-MCS-TM-57 (Revision 1)", year="1987"} @article{Dongarra87d, author="Dongarra, J. and Johnsson, L.", title="Solving Banded Systems on a Parallel Processor", journal=PC, volume="5", pages="219-246", year="1987"} @article{Dongarra87e, author="Dongarra, J. and Sorensen, D.", title="A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem", journal=SISSC, volume="8", pages="s139-s154", year="1987"} @article{Dongarra87f, author="Dongarra, J. and Sorensen, D.", title="A Portable Environment for Developing Parallel {FORTRAN} Programs", journal=PC, volume="5", pages="175-186", year="1987"} @article{Dongarra88a, author="Dongarra, J. and DuCroz, J. and Hammarling, S. and Hanson, R.", title="An Extended Set of Basic Linear Algebra Subprograms", journal=ACMTMS, volume="14", pages="1-17", year="1988"} @inproceedings{Douglas87a, author="Douglas, C. and Ma, S. and Miranker, W.", title="Generating Parallel Algorithms Through Multigrid and Aggregation/Disaggregation Techniques", booktitle="Proc. First IMACS Symposium on Computational Acoustics", editor="Lee, D. and Sternberg, R. and Schultz, M.", publisher="North-Holland", address="Amsterdam-New York", year="1987"} @techreport{Douglas88a, author="Douglas, C. and Henderson, M. and Horiguchi, S. and Miranker, W. and Smith, B. and Winkler, A.", title="The Interaction of Numerics and Machines", institution="IBM T.J. Watson Research Center", type="Research Report", number="RC13429", address="Yorktown Heights, NY", year="1988"} @article{Douglas88b, author="Douglas, C. and Miranker, W.", title="Constructive Interference in Parallel Algorithms", journal=SINUM, volume="25", pages="376-398", year="1988"} @article{Douglas88c, author="Douglas, C. and Smith, B.", title="Using Symmetries and Antisymmetries to Analyze a Parallel Multigrid Method", journal=SINUM, note="To appear", year="1988"} @inproceedings{Douglas88d, author="Douglas, C. and Miranker, W.", title="Some Non-Telescoping Parallel Algorithms Based on Serial Multigrid/Aggregation/Disaggregation Techniques", crossref="McCormick88b", pages="167-176", year="1988"} @inproceedings{Douglas88e, author="Douglas, C. and Miranker, W.", title="Generating Parallel Algorithms through Multigrid and Aggregation/Disaggregation Techniques", crossref="McCormick88b", year="1988"} @techreport{Dowers87a, author="Dowers, K. and Lakshmivarahan, S. and Dhall, S.", title="On The Comparison of the Performance of {Alliant} {FX}/8, {VAX} 11/780, and {IBM} 3081 in Solving Linear Tri-Diagonal Systems", institution="School of Electrical Engineering and Computer Science, University of Oklahoma", month=jan, year="1987"} @article{Drake87a, author="Drake, B. and Luk, F. and Speiser, J. and Symanski, J.", title="{SLAPP}: {A} Systolic Linear Algebra Parallel Processor", journal="Computer", volume="20", number="7", pages="45-47", year="1987"} @techreport{Drake87b, author="Drake, J. and Lawkins, B. and Carreras, B. and Hicks, H. and Lynch, V.", title="Implementation of a 3--{D} Nonlinear {MHD} Calculation on the {Intel} Hypercube", institution=ORNL, number="ORNL-6335", year="1987"} @incollection{Dressler82a, author="Dressler, R. and Robertson, S. and Spradley, L.", title="Effects of {Rayleigh} Accelerations Applied to an Initially Moving Fluid", booktitle="Materials Processing in the Reduced Gravity Environment of Space", editor="Rindone, G.", publisher="Elsevier Science Publishing Co.", year="1982"} @article{Drummond82a, author="Drummond, J. and Weidner, E.", title="Numerical Study of a Scramjet Engine Flow Field", journal="AIAA Journal", volume="20", pages="1182-1187", year="1982"} @techreport{Drummond83a, author="Drummond, J.", title="Numerical Study of a Ramjet Dump Combustor Flow Field", institution="AIAA", type="Paper", number="83-0421", year="1983"} @article{DuCroz87a, author="DuCroz, J. and Wasniewski, J.", title="Basic Linear Algebra Computations on the {Sperry} {ISP}", journal="Supercomputer", volume="20/21", pages="45-54", year="1987"} @incollection{Dubois77a, author="Dubois, P. and Rodrigue, G.", title="An Analysis of the Recursive Doubling Algorithm", crossref="Kuck77b", pages="299-305", year="1977"} @techreport{Dubois77b, author="Dubois, P. and Rodrigue, G.", title="Operator Splitting on the {STAR} without Transposing", institution=LLNL, number="UCID-17515", year="1977"} @article{Dubois79a, author="Dubois, P. and Greenbaum, A. and Rodrigue, G.", title="Approximating the Inverse of a Matrix for Use in Iterative Algorithms on Vector Processors", journal="Computing", volume="22", pages="257-268", year="1979"} @article{Dubois82a, author="Dubois, M. and Briggs, F.", title="Performance of Synchronized Iterative Processes in Multiprocessor Systems", journal=TSE, volume="SE-8", pages="419-431", year="1982"} @incollection{Dubois82b, author="Dubois, P.", title="Swimming Upstream: {Table} Lookups and the Evaluation of Piecewise Defined Functions on Vector Computers", crossref="Rodrigue82a", pages="129-151", year="1982"} @inproceedings{Dubois87a, author="Dubois, M.", title="Performance of {S.O.R.} Algorithms in Multiprocessors", crossref="Kartashev87a", pages="414-423", year="1987"} @book{Ducksbury86a, author="Ducksbury, P.", title="Parallel Array Processing", booktitle="Parallel Array Processing", publisher="Wiley", year="1986"} @article{Duff82a, author="Duff, I.", title="The Solution of Sparse Linear Equations on the {CRAY}--1", journal="CRAY Channels", volume="4", number="3", year="1982"} @inproceedings{Duff82b, author="Duff, I.", title="The Solution of Sparse Linear Equations on the {CRAY}--1", crossref="Cray82a", pages="17-39", year="1982"} @article{Duff82c, author="Duff, I. and Reid, J.", title="Experience of Sparse Matrix Codes on the {CRAY}--1", journal=CPC, volume="76", pages="293-302", year="1982"} @inproceedings{Duff84a, author="Duff, I.", title="The Solution of Sparse Linear Equations on the {CRAY}--1", crossref="Kowalik84a", pages="293-309", year="1984"} @proceedings{Duff85a, editor="Duff, I. and Reid, J.", title="Vector and Parallel Processors in Computational Science, Proc. 2nd Int. Conf., Oxford, August 1984", booktitle="Vector and Parallel Processors in Computational Science, Proc. 2nd Int. Conf., Oxford, August 1984", publisher="North-Holland", year="1985"} @techreport{Duff86a, author="Duff, I.", title="The Influence of Vector and Parallel Processors on Numerical Analysis", institution="Computer Science and Systems Division, Harwell Laboratory", number="AERE-R 12329", address="Oxon, England", year="1986"} @article{Duff86b, author="Duff, I.", title="Parallel Implementation of Multifrontal Schemes", journal=PC, volume="3", pages="193-204", year="1986"} @misc{Duff86c, author="Duff, I.", title="The Parallel Solution of Sparse Linear Equations", note="Handler, Haupt, Jeltsch, Juling, and Lange", pages="18-24", year="1986"} @techreport{Duff86d, author="Duff, I.", title="Use of Vector and Parallel Computers in the Solution of Large Sparse Linear Equations", institution=ANL, number="ANL/MCS-TM-84", year="1986"} @techreport{Duff86e, author="Duff, I.", title="The Use of Vector and Parallel Computers in the Solution of Large Sparse Linear Equations", institution="Computer Science and Systems Division, Harwell Laboratory", number="AERE-R 12393", address="Oxon, England", year="1986"} @techreport{Duff86f, author="Duff, I. and Johnsson, L.", title="The Effect of Orderings on the Parallelization of Sparse Code", institution="Mathematics and Computer Science Division, Argonne National Laboratory", type="Technical Memorandum", address="Argonne, IL", year="1986"} @inproceedings{Duff86g, author="Duff, I. and Johnsson, L.", title="Node Orderings and Concurrency in Sparse Problems: {An} Experimental Investigation", booktitle="Proc. Int. Conf. Vector and Parallel Computing, Loen, Norway", month=jun # " 2-6", year="1986"} @techreport{Duff87a, author="Duff, I.", title="Multiprocessing a Sparse Matrix Code on the {Alliant} {FX}/8", institution="Computer Science and Systems Division, Harwell Laboratory", number="CSS-210", address="Oxon, England", year="1987"} @techreport{Duff87b, author="Duff, I. and Gould, N. and Lescrenier, M. and Reid, J.", title="The Multifrontal Method in a Parallel Environment", institution="Computer Science and Systems Division, Harwell Laboratory", number="CSS-211", address="Oxon, England", year="1987"} @inproceedings{Dugan79a, author="Dugan, R. and Durham, I. and Talukdar, S.", title="An Algorithm for Power System Simulation by Parallel Processing", booktitle="Proc. IEEE Power Eng. Soc. Summer Meeting", year="1979"} @inproceedings{Duller84a, author="Duller, A. and Paddon, D.", title="Processor Arrays and the Finite Element Method", crossref="Feilmeier84a", pages="131-136", year="1984"} @inproceedings{Dungworth79a, author="Dungworth, M.", title="The {CRAY}--1 Computer System", crossref="Jesshope79b", pages="51-76", year="1979"} @techreport{Dunigan87a, author="Dunigan, T.", title="Performance of Three Hypercubes", institution=ORNL, number="ORNL/TM-10400", month=may, year="1987"} @inproceedings{Dunigan87b, author="Dunigan, T.", title="Hypercube Performance", crossref="Heath87b", pages="178-192", year="1987"} @techreport{Dunigan88a, author="Dunigan, T.", title="Performance of a Second Generation Hypercube", institution=ORNL, number="ORNL/TM-10881", month=sep, year="1988"} @inproceedings{Durham79a, author="Durham, I. and Dugan, R. and Jones, A. and Talukdar, S.", title="Power System Simulation on a Multiprocessor", booktitle="Proc. IEEE Power Eng. Soc. Summer Meeting", year="1979"} @article{Eastwood77a, author="Eastwood, J. and Jesshope, C.", title="The Solution of Elliptic Partial Differential Equations Using Number Theoretical Transforms with Applications to Narrow or Computer Hardware", journal=CPC, volume="13", pages="233-239", year="1977"} @techreport{Eberhardt84a, author="Eberhardt, D. and Baganoff, D. and Stevens, K.", title="Study of the Mapping of {Navier}-{Stokes} Algorithms onto Multiple-Instruction/Multiple-Data-Stream Computers", institution=NARC, number="TM-85945", year="1984"} @article{Eberlein87a, author="Eberlein, P.", title="On One-Sided {Jacobi} Methods for Parallel Computation", journal=SIAD, volume="8", pages="790-796", year="1987"} @article{Eberlein87b, author="Eberlein, P.", title="On the {Schur} Decomposition of a Matrix for Parallel Computation", journal=TOC, volume="C-36", pages="167-174", year="1987"} @inproceedings{Eberlein87c, author="Eberlein, P.", title="On Using the {Jacobi} Method on the Hypercube", crossref="Heath87b", year="1987"} @techreport{Eckert45a, author="Eckert Jr., J. and Mauchly, J. and Goldstein, H. and Brainerd, J.", title="Description of the {ENIAC} and Comments on Electronic Digital Computing Machines", institution="University of Pennsylvania", type="Applied Mathematics Panel Report", number="171.2R", year="1945"} @techreport{Egecioglu87a, author="Egecioglu, O. and Gallopoulos, E. and Koc, C.", title="Parallel {Hermite} Interpolation: {An} Algebraic Approach", institution=DCS # ", University of Illinois at Urbana-Champaign", number="671", year="1987"} @article{Ehrlich86a, author="Ehrlich, L.", title="The Numerical {Schwartz} Alternating Procedure and {SOR}", journal=SISSC, volume="7", pages="989-993", year="1986"} @techreport{Eijkhout85a, author="Eijkhout, V.", title="Scalar Recurrences on Chainable Pipeline Architectures", institution=CNA # ", University of Texas at Austin", number="CNA-202", month=dec, year="1985"} @incollection{Eisenstat81a, author="Eisenstat, S. and Schultz, M.", title="Trends in Elliptic Problem Solvers", crossref="Schultz81a", pages="99-114", year="1981"} @article{Eisenstat88a, author="Eisenstat, S. and Heath, M. and Henkel, C. and Romine, C.", title="Modified Cyclic Algorithms for Solving Triangular Systems on Distributed-Memory Multiprocessors", journal=SISSC, volume="9", number="3", month=may, pages="589-600", year="1988"} @techreport{Ekanadham87a, author="Ekanadham, K. and Arvind", title="{SIMPLE}: {PART} {I} --- {An} Exercise in Future Scientific Programming", institution="IBM", number="RC-12686", address="Yorktown Heights, NY", month=apr, year="1987"} @article{ElTarazi82a, author="El Tarazi, M.", title="Some Convergence Results for Asynchronous Algorithms", journal="Numer. Math.", volume="39", pages="325-340", year="1982"} @article{ElTarazi85a, author="El Tarazi, M.", title="Iterative Methods for Systems of First Order Differential Equations", journal="IMAJNA", volume="5", pages="29-40", year="1985"} @techreport{Elden87a, author="Elden, L.", title="A Parallel {QR} Decomposition Algorithm", institution="Department of Scientific Computing, Uppsala University, and Department of Mathematics, Linkoping University", year="1987"} @article{Ellis84a, author="Ellis, G. and Watson, L.", title="A Parallel Algorithm for Simple Roots of Polynomials", journal="Comp. \& Math.", volume="10", pages="107-122", year="1984"} @techreport{Elman86a, author="Elman, H.", title="Approximate {Schur} Complement Preconditioners for Serial and Parallel Computers", institution=DCS # ", University of Maryland", number="1704", address="College Park, MD", month=sep, year="1986"} @techreport{Elman88a, author="Elman, H. and Agron, E.", title="Ordering Techniques for the Preconditioned Conjugate Gradient Method on Parallel Computers", institution=DCS # ", University of Maryland", number="TR-88-53", year="1988"} @book{Emmen85a, editor="Emmen, A.", title="Supercomputer Applications", booktitle="Supercomputer Applications", publisher="North-Holland", address="Amsterdam", year="1985"} @article{Emmen87a, author="Emmen, P.", title="{ETA}--10: {A} ``Poor Man's'' Supercomputer for 1 Million Dollars", journal="Supercomputer", volume="22", month=nov, pages="4-6", year="1987"} @inproceedings{Enselme84a, author="Enselme, M. and Fraboul, C. and Leca, P.", title="An {MIMD} Architecture System for {PDE} Numerical Simulation", crossref="Vichnevetsky84a", pages="502-509", year="1984"} @article{Enslow77a, author="Enslow, P.", title="Multiprocessor Organization: {A} Survey", journal=ACMCS, volume="9", pages="103-129", year="1977"} @incollection{Ereegovac86a, author="Ereegovac, M. and Lang, T.", title="Vector Processing", crossref="Fernbach86a", pages="29-57", year="1986"} @unpublished{Erhel82a, author="Erhel, J. and Lichnewsky, A. and Thomasett, F.", title="Parallelism in Finite Element Computations", note="Presented at the IBM Symposium on Vector Computers and Scientific Computing, Rome", year="1982"} @techreport{Erhel83a, author="Erhel, J.", title="Parallelisation d'an Algorithme de Gradient Conjugue Preconditionne", institution="INRIA", number="189", year="1983"} @inproceedings{Erhel83b, author="Erhel, J. and Jalby, W. and Lichnewsky, A. and Thomasett, F.", title="Quelques Progress en Calcul Parall\`ele et Vectori\`el", booktitle="Coll. Inf. sur des M\'ethodes de Calcul Scientifique et Technique", year="1983"} @techreport{Ericksen72a, author="Ericksen, J.", title="Iterative and Direct Methods for Solving {Poisson's} Equation and Their Adaptability to {ILLIAC} {IV}", institution=CAC # ", University of Illinois at Urbana-Champaign", number="60", year="1972"} @article{Ericksen76a, author="Ericksen, J. and Wilhelmson, R.", title="Implementation of a Convective Problem Requiring Auxiliary Storage", journal=ACMTMS, volume="2", pages="187-195", year="1976"} @techreport{Erlebacher87a, author="Erlebacher, G. and Bokhari, S. and Hussaini, M.", title="An Efficient Parallel Algorithm for the Simulation of Three-Dimensional Compressible Transition on a 20 Processor {Flex}/32 Multicomputer", institution="ICASE, " # NLRC, number="87-41", address="Hampton, VA", year="1987"} @techreport{Ethridge83a, author="Ethridge, C. and Moore, J. and Trujillo, V.", title="Experimental Parallel Microprocessor System", institution=LANL, number="LA-UR-83-1676", year="1983"} @inproceedings{Evans79a, author="Evans, D.", title="On the Numerical Solution of Sparse Systems of Finite Element Equations", booktitle="The Mathematics of Finite Elements \& Applications III, Mafelap 1978 Conference Proceedings", editor="Whiteman, J.", publisher="Academic Press", address="New York", pages="448-58", year="1979"} @article{Evans79b, author="Evans, D. and Hatzopolous, M.", title="A Parallel Linear Systems Solver", journal=IJCM, volume="7", pages="227-38", year="1979"} @article{Evans80a, author="Evans, D. and Hadjidimos, A.", title="A Modification of the {Quadrant} {Interlocking} {Factorisation} Parallel Method", journal=IJCM, volume="8", pages="149-166", year="1980"} @article{Evans81a, author="Evans, D. and Hadjidimos, A.", title="Parallel Solution to Certain Banded Symmetric and Centro-symmetric Systems by using the {Quadrant} {Interlocking} {Factorization} Method", journal=MCS, volume="23", pages="180-187", year="1981"} @article{Evans81b, author="Evans, D. and Hadjidimos, A. and Noutsos, D.", title="The Parallel Solution of Banded Linear Equations by the New {Quadrant} {Interlocking} {Factorisation} ({Q.I.F.}) Method", journal=IJCM, volume="9", pages="151-62", year="1981"} @article{Evans81c, author="Evans, D. and Okolie, S.", title="A Recursive Decoupling Algorithm for Solving Banded Linear Systems", journal=IJCM, volume="10", pages="139-152", year="1981"} @book{Evans82a, editor="Evans, D.", title="Parallel Processing Systems", booktitle="Parallel Processing Systems", publisher="Cambridge University Press", year="1982"} @incollection{Evans82b, author="Evans, D.", title="Parallel Numerical Algorithms for Linear Systems", crossref="Evans82a", pages="357-384", year="1982"} @article{Evans82c, author="Evans, D. and Sojoodi-Haghighi, R.", title="Parallel Iterative Methods for Solving Linear Equations", journal=IJCM, volume="11", pages="247-284", year="1982"} @article{Evans83a, author="Evans, D.", title="New Parallel Algorithms in Linear Algebra", journal="E.D.F. Bulletin de la Direction des Etudes et des Recherches", volume="C", number="1", pages="61-69", year="1983"} @article{Evans83b, author="Evans, D. and Dunbar, R.", title="The Parallel Solution of Triangular Systems of Equations", journal=TOC, volume="C-32", pages="201-204", year="1983"} @inproceedings{Evans84a, author="Evans, D.", title="New Parallel Algorithms for Partial Differential Equations", crossref="Feilmeier84a", pages="3-56", year="1984"} @article{Evans84b, author="Evans, D.", title="Parallel {S.O.R.} Iterative Methods", journal=PC, volume="1", pages="3-18", year="1984"} @inproceedings{Evans84c, author="Evans, D. and Shanehchi, J. and Barlow, R.", title="Implementation of the Conjugate Gradient and {Lanczos} Algorithms for Large Sparse Banded Matrices on the {ICL} {DAP}", crossref="Feilmeier84a", pages="143-151", year="1984"} @article{Evans87a, author="Evans, D. and Megson, G.", title="Construction of Extrapolation Tables by Systolic Arrays for Solving Ordinary Differential Equations", journal=PC, volume="4", pages="33-48", year="1987"} @article{Evans88a, author="Evans, D. and Bekakos, M.", title="The Solution of Linear Systems by the {QIF} Algorithm on a Wavefront Array Processor", journal=PC, volume="7", pages="111-130", year="1988"} @article{Evans88b, author="Evans, D. and Magaritis, K.", title="Optical Processing of Banded Matrix Algorithms Using Outer Product Concepts", journal=PC, volume="6", pages="119-126", year="1988"} @article{Evans88c, author="Evans, D. and Jianping, S. and Lishan, K.", title="The Convergence Factor of the Parallel {Schwartz} Overrelaxation Method for Linear Systems", journal=PC, volume="6", pages="313-324", year="1988"} @inproceedings{Ewerbring88a, author="Ewerbring, L. and Luk, F. and Ruttenbert, A.", title="{SVD} Computation on the {Connection} {Machine}", booktitle="21st Annual Hawaii International Conf. on Sys. Sci.", year="1988"} @incollection{Faber81a, author="Faber, V.", title="Block Relaxation Strategies", crossref="Schultz81a", pages="271-275", year="1981"} @techreport{Faber87a, author="Faber, V.", title="Global Communication Algorithms for Hypercubes and other {Cayley} Coset Graphs", institution=LANL, number="LA-UR-87-3136", year="1987"} @techreport{Faber87b, author="Faber, V.", title="Latency and Diameter in Sparsely Populated Processor Interconnection Networks: {A} Time and Space Analysis", institution=LANL, number="LA-UR-87-3635", year="1987"} @inproceedings{Fadden80a, author="Fadden, E.", title="The {AD}--10: {A} Digital Computer Approach to Time Critical Simulation", booktitle="Proc. 4th Power Plant Dynamics, Control, and Testing Symposium", year="1980"} @article{Fadeeva77a, author="Fadeeva, V. and Fadeev, D.", title="Parallel Computations in Linear Algebra", journal="Kibernetica", volume="6", pages="28-40", year="1977"} @phdthesis{Farhat86a, author="Farhat, C.", title="Multiprocessors in Computational Mechanics", school="University of California at Berkeley", address="Department of Civil Engineering", year="1986"} @article{Farhat87a, author="Farhat, C. and Wilson, E.", title="Concurrent Iterative Solution of Large Finite Element Systems", journal=CANM, volume="3", pages="319-326", year="1987"} @article{Farhat87b, author="Farhat, C. and Wilson, E.", title="Solution of Finite Element Systems on Concurrent Processing Computers", journal="Eng. Computers", volume="2", pages="147-165", year="1987"} @article{Farhat87c, author="Farhat, C. and Wilson, E.", title="Modal Superposition Dynamic Analysis on Concurrent Multiprocessors", journal="Eng. Computations", year="1987"} @inproceedings{Farmwald84a, author="Farmwald, P.", title="The {S}--1 {Mark} {IIA} Supercomputer", crossref="Kowalik84a", pages="145-155", year="1984"} @article{Fatoohi87a, author="Fatoohi, R. and Grosch, C.", title="Implementation of an {ADI} Method on Parallel Computers", journal="J. Sci. 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IEEE", volume="72", pages="76-112", year="1984"} @techreport{Field83a, author="Field, J. and Kapauan, A. and Snyder, L.", title="Pringle: {A} Parallel Processor to Emulate Chip Computers", institution=DCS # ", Purdue University", number="CSD-TR-433", year="1983"} @inproceedings{Finn82a, author="Finn, A. and Luk, F. and Pottle, C.", title="Systolic Array Computation of the Singular Value Decomposition", booktitle="Proc. SPIE Symposium, Vol. 341 (Real Time Processing V)", pages="35-43", year="1982"} @techreport{Fisher85a, author="Fisher, D.", title="Matrix Computation on Processors in One, Two and Three Dimensions", institution=DCS # ", University of Maryland", number="1556", month=aug, year="1985"} @article{Fisher88a, author="Fisher, D.", title="Your Favorite Parallel Algorithm May Not Be as Fast as You Think", journal=TOC, volume="37", pages="211-214", year="1988"} @incollection{Flanders77a, author="Flanders, P. and Hunt, D. and Reddaway, S. and Parkinson, D.", title="Efficient High Speed Computing with the Distributed Array Processor", crossref="Kuck77b", pages="113-128", year="1977"} @article{Flynn66a, author="Flynn, M.", title="Very High Speed Computing Systems", journal="Proc. IEEE", volume="54", pages="1901-1909", year="1966"} @article{Flynn72a, author="Flynn, M.", title="Some Computer Organizations and Their Effectiveness", journal=TOC, volume="C-21", pages="948-960", year="1972"} @incollection{Foerster81a, author="Foerster, H. and Steuben, K. and Trottenberg, U.", title="Nonstandard Multigrid Techniques Using Checkered Relaxation and Intermediate Grids", crossref="Schultz81a", pages="285-300", year="1981"} @article{Follin86a, author="Follin, S. and Kascic, M.", title="A Marching Method for Solving {Poisson's} Equation on the {ETA}-10", journal=CANM, volume="2", pages="239-243", year="1986"} @techreport{Fong77a, author="Fong, K. and Jordan, T.", title="Some Linear Algebraic Algorithms and Their Performance on the {CRAY}-1", institution=LANL, number="LA-6774", year="1977"} @techreport{Fontecilla87a, author="Fontecilla, R.", title="A Parallel Nonlinear {Jacobi} Algorithm for Solving Nonlinear Equations", institution=DCS # ", University of Maryland", number="1807", month=mar, year="1987"} @article{Fornberg81a, author="Fornberg, B.", title="A Vector Implementation of the Fast {Fourier} Transform Algorithm", journal=MC, volume="36", pages="189-191", year="1981"} @inproceedings{Fornberg83a, author="Fornberg, B.", title="Steady Viscous Flow Past a Circular Cylinder", crossref="Gary84a", pages="201-224", year="1983"} @book{Foster76a, author="Foster, C.", title="Content Addressable Parallel Processors", booktitle="Content Addressable Parallel Processors", publisher="van Nostrand Reinhold", year="1976"} @article{Foulser87a, author="Foulser, D. and Schreiber, R.", title="The {Saxpy} {Matrix}-1: {A} General-Purpose Systolic Computer", journal="Computer", volume="20", number="7", pages="35-43", year="1987"} @inproceedings{Fox84a, author="Fox, G.", title="Concurrent Processing for Scientific Calculations", booktitle="Proc. COMPCON 84, IEEE Comp. Sci. Conf.", pages="70-73", year="1984"} @article{Fox84b, author="Fox, G. and Otto, S.", title="Algorithms for Concurrent Processors", journal="Physics Today", volume="37", number="5", pages="50-59", year="1984"} @techreport{Fox85a, author="Fox, G.", title="Square Matrix Decomposition --- {Symmetric}, Local, Scattered", institution="California Institute of Technology", type="CalTech Publication", number="Hm-97", address="Pasadena, CA", year="1985"} @inproceedings{Fox86a, author="Fox, G. and Otto, S.", title="Concurrent Computation and the Theory of Complex Systems", crossref="Heath86a", pages="244-268", year="1986"} @inproceedings{Fox87a, author="Fox, G.", title="The {Caltech} Concurrent Computation Program", crossref="Heath87b", pages="353-381", year="1987"} @inproceedings{Fox87b, author="Fox, G. and Furmanski, W.", title="Communication Algorithms for Regular Convolutions and Matrix Problems on the Hypercube", crossref="Heath87b", pages="223-238", year="1987"} @inproceedings{Fox87c, author="Fox, G. and Kowala, A. and Williams, R.", title="The Implementation of a Dynamic Load Balancer", crossref="Heath87b", pages="114-121", year="1987"} @article{Fox87d, author="Fox, G. and Otto, S. and Hey, A.", title="Matrix Algorithms on a Hypercube {I}. {Matrix} Multiplication", journal=PC, volume="4", pages="17-32", year="1987"} @book{Fox88a, editor="Fox, G. and Johnson, M. and Lyzenga, G. and Otto, S. and Salmon, J.", title="Solving Problems on Concurrent Processors, Volume {I}: {General} Techniques and Regular Problems", booktitle="Solving Problems on Concurrent Processors, Volume I: General Techniques and Regular Problems", publisher="Prentice-Hall, Inc. (To be published)", address="Englewood Cliffs, NJ", year="1988"} @inproceedings{Frailong79a, author="Frailong, F. and Pakleza, J.", title="Resolution of a General Partial Differential Equation on a Fixed Size {SIMD}/{MIMD} Large Cellular Processor", booktitle="Proceedings of the IMACS International Congress, Sorente", year="1979"} @inproceedings{Francioni87a, author="Francioni, J. and Jackson, J.", title="An Implementation of a $2^d$-Section Root Finding Method for the {FPS} {T}-Series Hypercube", crossref="Heath87b", pages="495-500", year="1987"} @article{Franklin78a, author="Franklin, M.", title="Parallel Solution of Ordinary Differential Equations", journal=TOC, volume="C-25", pages="413-470", year="1978"} @article{Franklin86a, author="Franklin, M. and Dhar, S.", title="Interconnection Networks: {Physical} Design and Performance Analysis", journal=JPDC, volume="3", pages="352-372", year="1986"} @inproceedings{Frederickson83a, author="Frederickson, P. and McBryan, O.", title="Parallel Superconvergent Multigrid", crossref="McCormick88b", pages="195-210", year="1983"} @article{Frederickson87a, author="Frederickson, P. and Hiromoto, R. and Larson, J.", title="A Parallel {Monte} {Carlo} Transport Algorithm Using a Psuedo-Random Tree to Guarantee Reproducibility", journal=PC, volume="4", pages="281-290", year="1987"} @techreport{Friedman82a, author="Friedman, A. and Kershaw, D.", title="Vectorized Incomplete {Cholesky} Conjugate Gradient ({ICCG}) Package for the {CRAY}-1 Computer", institution=LLNL, type="Laser Program Annual Report", number="UCRL-500021-81", year="1982"} @inproceedings{Fuller76a, author="Fuller, S. and Oleinick, P.", title="Initial Measurements of Parallel Programs on a Multi-Miniprocessor", booktitle="Proc. 13th IEEE Computer Soc. Int. Conf.", pages="358-363", year="1976"} @article{Fuller78a, author="Fuller, S. and Ousterbout, J. and Raskin, L. and Rubinfeld, P. and Sundhu, P. and Swan, R.", title="Multi-Microprocessors: {An} Overview and Working Example", journal="Proc. 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COMPCON 84, IEEE Comp. Soc. Conf.", pages="306-309", year="1984"} @article{Gajski85a, author="Gajski, D. and Peir, J.-K.", title="Essential Issues in Multiprocessor Systems", journal="Computer", volume="18", number="6", pages="9-27", year="1985"} @article{Galil83a, author="Galil, Z. and Pauli, W.", title="An Efficient General-Purpose Parallel Computer", journal=JACM, volume="30", pages="286-299", year="1983"} @article{Gallivan87a, author="Gallivan, K. and Jalby, W. and Meier, U.", title="The Use of {BLAS3} in Linear Algebra on a Parallel Processor with a Hierarchical Memory", journal=SISSC, volume="8", pages="1079-1084", year="1987"} @techreport{Gallivan87b, author="Gallivan, K. and Jalby, W. and Meier, U. and Sameh, A.", title="The Impact of Hierarchical Memory Systems on Linear Algebra Algorithm Design", institution=CSRD # ", University of Illinois at Urbana-Champaign", type="CSRD Report", number="625", year="1987"} @inproceedings{Gallopoulos83a, author="Gallopoulos, E. and McEwan, S.", title="Numerical Experiments with the {Massively} {Parallel} {Processor}", booktitle="Proc. 1983 " # ICPP, pages="29-35", year="1983"} @inproceedings{Gallopoulos84a, author="Gallopoulos, E.", title="The {Massively} {Parallel} {Processor} for Problems in Fluid Dynamics", booktitle="Proc. Vector and Parallel Processors in Computational Science II Conference, Oxford, England", year="1984"} @incollection{Gallopoulos85a, author="Gallopoulos, E.", title="Fluid Dynamics Modeling", crossref="Potter85a", pages="85-103", year="1985"} @techreport{Gallopoulos87a, author="Gallopoulos, E. and Saad, Y.", title="A Parallel Block Cyclic Reduction Algorithm for the Fast Solution of Elliptic Equations", institution=CSRD # ", University of Illinois at Urbana-Champaign", number="659", month=apr, note="To appear in Proc. Int. Conf. Supercomputing, Athens, Greece", year="1987"} @article{Gambolati88a, author="Gambolati, G. and Pini, G. and Zilli, G.", title="Comparison of Preconditionings for Large Sparse Finite Element Problems", journal="Numer. Meth. PDE", volume="4", pages="139-157", year="1988"} @inproceedings{Gannon80a, author="Gannon, D.", title="A Note on Pipelining a Mesh Connected Multiprocessor for Finite Element Problems by Nested Dissection", booktitle="Proc. 1980 " # ICPP, pages="197-204", year="1980"} @inproceedings{Gannon81a, author="Gannon, D.", title="On Mapping Non-Uniform {PDE} Structures and Algorithms onto Uniform Array Architectures", booktitle="Proc. 1981 " # ICPP, pages="100-105", year="1981"} @incollection{Gannon83a, author="Gannon, D. and Snyder, L. and Van Rosendale, J.", title="Programming Substructure Computations for Elliptic Problems on the {CHiP} System", crossref="Noor83a", pages="65-80", year="1983"} @incollection{Gannon84a, author="Gannon, D. and Van Rosendale, J.", title="Parallel Architectures for Iterative Methods on Adaptive, Block Structured Grids", crossref="Birkhoff84a", pages="93-104", year="1984"} @article{Gannon84b, author="Gannon, D. and Van Rosendale, J.", title="On the Impact of Communication Complexity in the Design of Parallel Numerical Algorithms", journal=TOC, volume="C-33", pages="1180-1194", year="1984"} @inproceedings{Gannon85a, author="Gannon, D.", title="On the Structure of Parallelism in a Highly Concurrent {PDE} Solver", booktitle="Proceedings of the 7th Symposium on Computer Arithmetic", editor="Kai, H.", address="Urbana, IL", pages="252-259", year="1985"} @techreport{Gannon86a, author="Gannon, D.", title="Restructuring Nested Loops on the {Alliant} {Cedar} Cluster: {A} Case Study of {Gaussian} Elimination of Banded Matrices", institution=CSRD # ", University of Illinois at Urbana-Champaign", number="543", month=feb, year="1986"} @article{Gannon86b, author="Gannon, D. and Panetta, J.", title="Restructuring {SIMPLE} for the {CHiP} Architecture", journal=PC, volume="3", pages="305-326", year="1986"} @article{Gannon86c, author="Gannon, D. and Van Rosendale, J.", title="On the Structure of Parallelism in a Highly Concurrent {PDE} Solver", journal=JPDC, volume="3", pages="106-135", year="1986"} @techreport{Gannon87a, author="Gannon, D. and Jalby, W.", title="The Influence of Memory Hierarchy on Algorithm Organization: {Programming} {FFTs} on a Vector Multiprocessor", institution=CSRD # ", University of Illinois at Urbana-Champaign", number="663", month=may, year="1987"} @inproceedings{Gao83a, author="Gao, Q.-S. and Wang, R.-Q.", title="Vector Computer for Sparse Matrix Operations", booktitle="Proc. 1983 " # ICPP, pages="87-89", year="1983"} @article{Gao86a, author="Gao, G.", title="A Maximally Pipelined Tridiagonal Linear Equation Solver", journal=JPDC, volume="3", pages="215-235", year="1986"} @inproceedings{Gao86b, author="Gao, G.", title="A Pipelined Solution Method of Tridiagonal Linear Equation Systems", booktitle="Proc. 1986 " # ICPP, pages="84-91", year="1986"} @article{Gao87a, author="Gao, G.", title="A Stability Classification Method and Its Application to Pipelined Solution of Linear Recurrences", journal=PC, volume="4", pages="305-321", year="1987"} @inproceedings{Gardiner87a, author="Gardiner, J. and Laub, A.", title="Implementation of Two Control System Design Algorithms on a Message-Passing Hypercube", crossref="Heath87b", pages="512-519", year="1987"} @article{Garey78a, author="Garey, M. and Graham, R. and Johnson, D.", title="Performance Guarantees for Scheduling Algorithms", journal=OR, volume="26", pages="3-21", year="1978"} @incollection{Gary77a, author="Gary, J.", title="Analysis of Applications Programs and Software Requirements for High Speed Computers", crossref="Kuck77b", pages="329-354", year="1977"} @article{Gary83a, author="Gary, J. and McCormick, S. and Sweet, R.", title="Successive Overrelaxation, Multigrid, and Preconditioned Conjugate Gradients Algorithms for Solving a Diffusion Problem on a Vector Computer", journal=AMC, volume="13", number="3-4", pages="285-310", note="(Special Issue, Proceedings of the First Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, S. 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Report TR-1897, " # DCS # ", University of Maryland, August", year="1987"} @techreport{Geist85a, author="Geist, A.", title="Efficient Parallel {LU} Factorization with Pivoting on a Hypercube Multiprocessor", institution=ORNL, number="ORNL-6211", month=oct, year="1985"} @techreport{Geist85b, author="Geist, A. and Heath, M.", title="Parallel {Cholesky} Factorization on a Hypercube Multiprocessor", institution=ORNL, number="ORNL-6190", month=aug, year="1985"} @inproceedings{Geist86a, author="Geist, A. and Heath, M.", title="Matrix Factorization on a Hypercube Multiprocessor", crossref="Heath86a", pages="161-180", year="1986"} @incollection{Geist87a, author="Geist, A. and Heath, M. and Ng, E.", title="Parallel Algorithms for Matrix Computations", booktitle="The Characteristics of Parallel Algorithms", editor="Douglass, R. and Gannon, D. and Jamieson, L.", publisher="MIT Press", address="Cambridge", pages="233-251", year="1987"} @inproceedings{Geist87b, author="Geist, A.", title="Solving Finite Element Problems with Parallel Multifrontal Schemes", crossref="Heath87b", pages="656-661", year="1987"} @techreport{Geist88a, author="Geist, A. and Davis, G.", title="Finding Eigenvalues and Eigenvectors of Unsymmetric Matrices using a Hypercube Multiprocessor", institution=ORNL, number="ORNL/TM-10938", month=oct, year="1988"} @techreport{Geist88b, author="Geist, A. and Ng, E.", title="A Partitioning Strategy for Parallel Sparse {Cholesky} Factorization", institution=ORNL, number="ORNL/TM-10937", month=sep, year="1988"} @inproceedings{Geist88c, author="Geist, A. and Ward, R. and Davis, G. and Funderlic, R.", title="Finding Eigenvalues and Eigenvectors of Unsymmetric Matrices using a Hypercube Multiprocessor", booktitle="Proc. 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Appl.", editor="Fox, G.", publisher="Association for Computing Machinery", address="New York", pages="1577-1582", year="1988"} @article{Geist88d, author="Geist, A. and Romine, C.", title="{LU} Factorization Algorithms on Distributed-Memory Multiprocessor Architectures", journal=SISSC, volume="9", number="4", pages="639-649", month=jul, year="1988"} @incollection{Geist89a, author="Geist, A. and Romine, C.", title="{LU} Factorization on Distributed-Memory Multiprocessors", booktitle="Parallel Processing for Scientific Computing", chapter="3", publisher=SIAM, address="Philadelphia", pages="15-18", year="1989"} @article{Gelenbe82a, author="Gelenbe, E. and Lichnewsky, A. and Staphylopatis, A.", title="Experience with the Parallel Solution of Partial Differential Equations on a Distributed Computing System", journal=TOC, volume="C-31", pages="1157-1165", year="1982"} @article{Gentleman75a, author="Gentleman, W.", title="Error Analysis of the {QR} Decomposition by {Givens} Transformations", journal=LAA, volume="10", pages="189-197", year="1975"} @article{Gentleman78a, author="Gentleman, W.", title="Some Complexity Results for Matrix Computations on Parallel Processors", journal=JACM, volume="25", pages="112-115", year="1978"} @unpublished{Gentleman81a, author="Gentleman, W.", title="Design of Numerical Algorithms for Parallel Processing", note="Presented at the Parallel Processing Conference at Bergams, Italy", year="1981"} @inproceedings{Gentleman81b, author="Gentleman, W. and Kung, H.", title="Matrix Triangularization by Systolic Arrays", booktitle="Proc. SPIE 298, Real-time Signal Processing IV", pages="19-26", year="1981"} @inproceedings{Gentzsch83a, author="Gentzsch, W.", title="How to Maintain the Efficiency of Highly Serial Algorithms Involving Recursions on Vector Computers", booktitle="Proc. Conf. 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IEEE", volume="72", pages="80-84", year="1984"} @inproceedings{Gloudeman84b, author="Gloudeman, J. and Hennrich, C. and Hodge, J.", title="The Evolution of {MSC}/{NASTRAN} and the Supercomputer for Enhanced Performance", crossref="Kowalik84a", pages="393-402", year="1984"} @proceedings{Glowinski88a, editor="Glowinski, R. and Golub, G. and Meurant, G. and Periaux, J.", title="Proceedings of the First International Symposium on Domain Decomposition Methods for Partial Differential Equations", booktitle="Proceedings of the First International Symposium on Domain Decomposition Methods for Partial Differential Equations", publisher=SIAM, address="Philadelphia, PA", year="1988"} @inproceedings{Glowinski88b, author="Glowinski, R. and Wheeler, M.", title="Domain Decomposition and Mixed Finite Element Methods for Elliptic Problems", crossref="Glowinski88a", pages="144-172", year="1988"} @incollection{Gnoffo82a, author="Gnoffo, P.", title="A Vectorized, Finite-Volume, Adaptive-Grid Algorithm for {Navier}-{Stokes} Calculations", booktitle="Numerical Grid Generation", editor="Thompson, J.", publisher="Elsevier Science Publishing Corp.", year="1982"} @article{Gohberg87a, author="Gohberg, I. and Kailath, T. and Koltracht, I. and Lancaster, P.", title="Linear Complexity Parallel Algorithms for Linear Systems of Equations with Recursive Structure", journal=LAA, volume="88", pages="271-316", year="1987"} @inproceedings{Goke73a, author="Goke, R. and Lipovski, G.", title="Banyan Networks for Partitioning on Multiprocessor Systems", booktitle="Proc. 1st Ann. 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McCormick, ed.)", pages="75-88", month=jul, year="1986"} @article{Greenberg82a, author="Greenberg, A. and Ladner, R. and Paterson, M. and Galil, Z.", title="Efficient Parallel Algorithms for Linear Recurrence Computation", journal="Info. Proc. Letters", volume="15", pages="31-35", year="1982"} @article{Greenspan88a, author="Greenspan, D.", title="Particle Modeling of Cavity Flow on a Vector Computer", journal=CMAME, volume="66", pages="291-300", year="1988"} @techreport{Griffin85a, author="Griffin, J. and Wasserman, H.", title="Parallel Debugging: {A} Preliminary Proposal", institution=LANL, number="LA-UR-85-3967", year="1985"} @techreport{Grimes87a, author="Grimes, R. and Simon, H.", title="Dynamic Analysis with the {Lanczos} Algorithm on the {SCS}-40", institution=BCS, number="ETA-TR-43", month=jan, year="1987"} @techreport{Grimes87b, author="Grimes, R. and Simon, H.", title="Solution of Large Dense Symmetric Generalized Eigenvalue Problems using Secondary Storage", institution=BCS, number="ETA-TR-53", month=may, year="1987"} @article{Grimes88a, author="Grimes, R.", title="Solving Systems of Large Dense Linear Equations", journal="J. 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IFIP World Computer Congress", publisher="North-Holland", pages="545-551", year="1982"} @article{Gurd85a, author="Gurd, J. and Kirkham, C. and Watson, I.", title="The {Manchester} Prototype Dataflow Computer", journal=CACM, volume="28", pages="34-52", year="1985"} @article{Gustafson86a, author="Gustafson, J.", title="Subdivision of {PDE's} on {FPS} Scientific Computers", journal=CANM, volume="2", pages="305-310", year="1986"} @inproceedings{Gustafson86b, author="Gustafson, J. and Hawkinson, S. and Scott, K.", title="The Architecture of a Homogeneous Vector Supercomputer", booktitle="Proc. 1986 " # ICPP, pages="649-652", year="1986"} @article{Gustafson88a, author="Gustafson, J.", title="Reevaluating {Amdahl's} Law", journal="Comm. 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Power", pages="204-207", year="1978"} @incollection{Harding84a, author="Harding, A. and Carling, J.", title="The Three-Dimensional Solution of the Equations of Flow and Heat Transfer in Glass-Melting Tank Furnaces: {Adapting} to the {DAP}", crossref="Paddon84a", pages="115-133", year="1984"} @article{Harms88a, author="Harms, U. and Lutterman, H.", title="Experiences in Benchmarking the Three Supercomputers {CRAY}-1{M}, {CRAY}-{X}/{MP}, {Fujitsu} {VP}-200 Compared with the {CYBER} 76", journal=PC, volume="6", pages="373-382", year="1988"} @article{Harper87a, author="Harper, D. and Jump, J.", title="Vector Access Performance in Parallel Memories Using A Skewed Storage Scheme", journal=TOC, volume="C-36", pages="1440-1449", year="1987"} @techreport{Harrar88a, author="Harrar, D. and Ortega, J.", title="Solution of Three-Dimensional Generalized {Poisson} Equations on Vector Computers", institution="The University of Virginia", number="RM-88-17", month=oct, year="1988"} @article{Hart86a, author="Hart, L. and McCormick, S. and O'Gallagher, A. and Thomas, J.", title="The {Fast} {Adaptive} {Composite}-Grid Method ({FAC}): {Algorithms} for Advanced Computers", journal=AMC, volume="19", number="1-4", pages="103-126", note="(Special Issue, Proceedings of the Second Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, S. McCormick, ed.)", month=jul, year="1986"} @inproceedings{Hart88a, author="Hart, L.", title="Asynchronous Adaptive Methods on Parallel Computers", crossref="McCormick88b", year="1988"} @incollection{Hatzopoulos82a, author="Hatzopoulos, M.", title="Parallel Linear System Solvers for Tridiagonal Matrices", crossref="Evans82a", pages="389-394", year="1982"} @article{Hatzopoulos83a, author="Hatzopoulos, M.", title="A Symmetric Parallel Linear System Solver", journal=IJCM, volume="13", pages="133-141", year="1983"} @article{Hatzopoulos85a, author="Hatzopoulos, M. and Missirlis, N.", title="Advantages for Solving Linear Systems in an Asynchronous Environment", journal=JCAM, volume="12/13", pages="331-340", year="1985"} @article{Hatzopoulos88a, author="Hatzopoulos, M. and Evans, D.", title="Comments on the Paper ``{A} Short Proof of the Existence of the {W}-{Z} Factorization''", journal=PC, volume="6", pages="259", year="1988"} @techreport{Hay85a, author="Hay, R. and Gladwell, I.", title="Solving Almost Block Diagonal Linear Equations on the {CDC} {Cyber} 205", institution="University of Manchester", type="Numerical Analysis Report", number="98", month=jan, year="1985"} @mastersthesis{Hayes74a, author="Hayes, L.", title="Comparative Analysis of Iterative Techniques for Solving {Laplace's} Equation on the Unit Square on a Parallel Processor", school="University of Texas at Austin", address="Department of Mathematics", year="1974"} @inproceedings{Hayes84a, author="Hayes, L.", title="Alternating {Direction} Method on Vector Processors", booktitle="NASA/NSF Workshop on Parallel Computation in Heat Transfer and Fluid Flow, University of Maryland", month=nov, year="1984"} @techreport{Hayes84b, author="Hayes, L. and Devloo, P.", title="An Overlapping Block Iterative Scheme for Finite Element Methods", institution="Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin", year="1984"} @inproceedings{Hayes85a, author="Hayes, L.", title="A Vectorized Matrix Vector Multiply and Overlapping Block Iterative Method", crossref="Numrich85a", pages="91-100", year="1985"} @inproceedings{Hayes86a, author="Hayes, J. and Mudge, T. and Stout, Q. and Colley, S. and Palmer, J.", title="Architecture of a Hypercube Supercomputer", booktitle="Proc. 1986 " # ICPP, pages="653-660", year="1986"} @article{Hayes86b, author="Hayes, L. and Devloo, P.", title="A Vectorized Version of a Sparse Matrix-Vector Multiply", journal="Int. J. Num. Met. Eng.", volume="23", pages="1043-56", year="1986"} @article{Haynes82a, author="Haynes, L. and Lau, R. and Siewiorek, D. and Mizell, D.", title="A Survey of Highly Parallel Computing", journal="Computer", volume="15", number="1", pages="9-24", year="1982"} @article{Head-Gordon86a, author="Head-Gordon, M. and Piela, P.", title="Parallel Algorithms for Solving Linear Equations using {Givens} Transformations", journal=IJCM, volume="12A", pages="987-990", year="1986"} @techreport{Heath85a, author="Heath, M.", title="Parallel {Cholesky} Factorization in Message-Passing Multiprocessor Environments", institution=ORNL, number="ORNL-6150", month=may, year="1985"} @proceedings{Heath86a, editor="Heath, M.", title="Hypercube Multiprocessors, 1986", booktitle="Hypercube Multiprocessors, 1986", publisher=SIAM, address="Philadelphia, PA", year="1986"} @article{Heath86b, author="Heath, M. and Sorensen, D.", title="A Pipelined {Givens} Method for Computing the {QR} Factorization of a Sparse Matrix", journal=LAA, volume="77", pages="189-203", year="1986"} @inproceedings{Heath87a, author="Heath, M.", title="Hypercube Applications at {Oak} {Ridge} {National} {Laboratory}", crossref="Heath87b", pages="395-417", year="1987"} @proceedings{Heath87b, editor="Heath, M.", title="Hypercube Multiprocessors, 1987", booktitle="Hypercube Multiprocessors, 1987", publisher=SIAM, address="Philadelphia", year="1987"} @article{Heath88a, author="Heath, M. and Romine, C.", title="Parallel Solution of Triangular Systems on Distributed-Memory Multiprocessors", journal=SISSC, volume="9", number="3", month=may, pages="558-588", year="1988"} @article{Heath88b, author="Heath, L. and Rosenberg, A. and Smith, B.", title="The Physical Mapping Problem for Parallel Architectures", journal=JACM, volume="35", pages="603-634", year="1988"} @article{Heller74a, author="Heller, D.", title="A Determinant Theorem with Applications to Parallel Algorithms", journal=SINUM, volume="11", pages="559-568", year="1974"} @article{Heller76a, author="Heller, D.", title="Some Aspects of the Cyclic Reduction Algorithm for Block Tridiagonal Linear Systems", journal=SINUM, volume="13", pages="484-496", year="1976"} @article{Heller76b, author="Heller, D. and Stevenson, D. and Traub, J.", title="Accelerated Iterative Methods for the Solution of Tridiagonal Linear Systems on Parallel Computers", journal=JACM, volume="23", pages="636-654", year="1976"} @article{Heller78a, author="Heller, D.", title="A Survey of Parallel Algorithms in Numerical Linear Algebra", journal=SIREV, volume="20", pages="740-777", year="1978"} @inproceedings{Heller82a, author="Heller, D. and Ipsen, I.", title="Systolic Network for Orthogonal Equivalence Transformations and Their Application", booktitle="Proc. Conference on Advanced Research in {VLSI}", publisher="MIT Press", address="Cambridge", pages="113-122", year="1982"} @article{Heller83a, author="Heller, D. and Ipsen, I.", title="Systolic Networks for Orthogonal Decompositions", journal=SISSC, volume="4", pages="261-269", year="1983"} @article{Hellier82a, author="Hellier, R.", title="{DAP} Implementation of the {WZ} Algorithm", journal=CPC, volume="26", pages="321-323", year="1982"} @article{Hemker83a, author="Hemker, P. and Kettler, R. and Wesseling, P. and de Zeeuw, P.", title="Multigrid Methods: {Development} of Fast Solvers", journal=AMC, volume="13", number="3-4", pages="311-326", note="(Special Issue, Proceedings of the First Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, S. McCormick and U. Trottenberg, eds.)", month=nov, year="1983"} @article{Hemker84a, author="Hemker, P.", title="Performance of Multigrid Software on Vector Machines", journal="Supercomputer", year="1984"} @incollection{Hemker84b, author="Hemker, P. and Wesseling, P. and de Zeeuw, P.", title="A Portable Vector Code for Autonomous Multigrid Modules", booktitle="PDE Software: Modules, Interfaces and Systems", editor="Engquist, B. and Smedsaas, T.", publisher="North-Holland", address="Amsterdam", pages="29-40", year="1984"} @techreport{Hempel88a, author="Hempel, R.", title="The {Suprenum} Communications Subroutine Library for Grid-Oriented Problems", institution=ANL, number="ANL-87-23", year="1988"} @inproceedings{Hempel88b, author="Hempel, R.", title="Parallel Multigrid Algorithms for the Biharmonic and the {Stokes} Equations, Implementation and Performance", crossref="McCormick88b", year="1988"} @incollection{Hendry84a, author="Hendry, J. and Delves, L.", title="{GEM} Calculations on the {DAP}", crossref="Paddon84a", pages="185-194", year="1984"} @inproceedings{Henkel88a, author="Henkel, C. and Heath, M. and Plemmons, R.", title="Cholesky Downdating on a Hypercube", booktitle="Proc. Third Conf. Hypercube Concurrent Comput. Appl.", editor="Fox, G.", publisher="Association for Computing Machinery", address="New York", pages="1592-1598", year="1988"} @article{Hertzberger81a, author="Hertzberger, L. and Gosman, D. and Kieft, G. and Por, G. and Schoorel, M. and Wiggers, L.", title="{FAMP} System", journal=CPC, volume="22", pages="253-260", year="1981"} @inproceedings{Hibbard80a, author="Hibbard, P. and Ostlund, N.", title="Numerical Computation on {Cm*}", booktitle="Proc. 1980 " # ICPP, pages="135-136", year="1980"} @techreport{Higbie78a, author="Higbie, L.", title="Speeding Up {FORTRAN} ({CFT}) Programs on the {CRAY}--1", institution="CRAY Research Inc.", type="Pub.", number="2240207", year="1978"} @techreport{Higham88a, author="Higham, N. and Schreiber, R.", title="Fast Polar Decomposition of an Arbitrary Matrix", institution=DCS # ", Cornell University", type="Computer Science Tech. Report", number="88-942", note="(To appear in SIAM J. Sci. Statist. Comput.)", year="1988"} @techreport{Higham89a, author="Higham, N.", title="Exploiting Fast Matrix Multiplication within the Level 3 {BLAS}", institution=DCS # ", Cornell University", type="Computer Science Tech. Report", number="89-984", year="1989"} @book{Hillis85a, author="Hillis, W.", title="The Connection Machine", booktitle="The Connection Machine", publisher="MIT Press", address="New Haven, CT", year="1985"} @inproceedings{Hintz72a, author="Hintz, R. and Tote, D.", title="Control {Data} {STAR}--100 Processor Design", booktitle="Proc. COMPCON 72, IEEE Comp. Soc. Conf.", pages="1-4", year="1972"} @inproceedings{Hiraki84a, author="Hiraki, K. and Shimada, T. and Nishida, K.", title="A Hardware Design of the {SIGMA}--1, A Data Flow Computer for Scientific Computations", booktitle="Proc. 1984 " # ICPP, pages="524-531", year="1984"} @article{Hiromoto84a, author="Hiromoto, R.", title="Experiences with the {Denelcor} {HEP}", journal=PC, volume="1", pages="197-206", year="1984"} @techreport{Hiromoto85a, author="Hiromoto, R.", title="Parallel Processing a Plasma Simulation Problem Using the Particle-in-Cell Method", institution=LANL, number="LA-UR-85-2393", year="1985"} @inproceedings{Ho86a, author="Ho, C.-T. and Johnsson, L.", title="Distributed Routing Algorithm for Broadcasting and Personalized Communication in Hypercubes", booktitle="Proc. 1986 " # ICPP, pages="640-648", year="1986"} @inproceedings{Ho87a, author="Ho, C.-T. and Johnsson, L.", title="Algorithms for Matrix Transposition on {Boolean} $n$-Cube Configured Ensemble Architectures", booktitle="Proc. 1987 " # ICPP, pages="621-629", year="1987"} @inproceedings{Ho87b, author="Ho, C.-T. and Johnsson, L.", title="On the Embedding of Arbitrary Meshes in {Boolean} Cubes with Expansion Two Dilation Two", booktitle="Proc. 1987 " # ICPP, pages="188-191", year="1987"} @book{Hobbs70a, author="Hobbs, L. and Theis, D. and Trimble, J. and Titus, H. and Highberg, D.", title="Parallel Processor Systems: {Technologies} and Applications", booktitle="Parallel Processor Systems: Technologies and Applications", publisher="Spartan Books", year="1970"} @article{Hockney65a, author="Hockney, R.", title="A Fast Direct Solution of {Poisson's} Equation Using {Fourier} Analysis", journal=JACM, volume="12", pages="95-113", year="1965"} @inproceedings{Hockney77a, author="Hockney, R.", title="Super-Computer Architecture", booktitle="Proc. Infotech State of the Art Conf. on Future Systems", year="1977"} @article{Hockney79a, author="Hockney, R.", title="The Large Parallel Computer and University Research", journal="Cont. Phys.", volume="20", pages="149-185", year="1979"} @book{Hockney81a, author="Hockney, R. and Jesshope, C.", title="Parallel Computers: {Architecture}, Programming and Algorithms", booktitle="Parallel Computers: Architecture, Programming and Algorithms", publisher="Adam Hilger, Ltd.", address="Bristol, United Kingdom", year="1981"} @inproceedings{Hockney82a, author="Hockney, R.", title="Optimizing the {FACR} $(l\/)$ {Poisson} Solver on Parallel Computers", booktitle="Proc. 1982 " # ICPP, pages="62-71", year="1982"} @unpublished{Hockney82b, author="Hockney, R.", title="Poisson Solving on Parallel Computers", note="Presented at the IBM Symposium on Vector Computers and Scientific Computing, Rome", year="1982"} @article{Hockney82c, author="Hockney, R.", title="Characterization of Parallel Computers and Algorithms", journal=CPC, volume="26", pages="285-291", year="1982"} @inproceedings{Hockney83a, author="Hockney, R.", title="Characterization of Parallel Computers", booktitle="Proceedings of World Congress on System Simulation and Scientific Computation, International Association for Mathematics and Computers in Simulation, vol. 1", pages="269-271", year="1983"} @article{Hockney83b, author="Hockney, R.", title="Characterizing Computers and Optimizing the {FACR} $(l\/)$ {Poisson} Solver on Parallel Unicomputers", journal=TOC, volume="C-32", pages="933-941", year="1983"} @inproceedings{Hockney84a, author="Hockney, R.", title="Performance of Parallel Computers", crossref="Kowalik84a", pages="159-176", year="1984"} @incollection{Hockney84b, author="Hockney, R.", title="Optimizing the {FACR} $(l\/)$ {Poisson}-Solver on Parallel Computers", crossref="Paddon84a", pages="45-65", year="1984"} @incollection{Hockney84c, author="Hockney, R.", title="The ${n}_{1/2}$ Method of Algorithm Analysis", booktitle="PDE Software: Modules, Interfaces and Systems", editor="Engquist, B. and Smedsaas, T.", publisher="Elsevier", pages="429-444", year="1984"} @inproceedings{Hockney84d, author="Hockney, R. and Snelling, D.", title="Characterizing {MIMD} Computers, e.g., the {Denelcor} {HEP}", crossref="Feilmeier84a", pages="521-526", year="1984"} @article{Hockney85a, author="Hockney, R.", title="{MIMD} Computing in the {USA} --- 1984", journal=PC, volume="2", pages="119-136", year="1985"} @article{Hockney85b, author="Hockney, R.", title="(${r}_{\infty}, {n}_{1/2}, {s}_{1/2}$) Measurements on the 2-{CPU} {CRAY} {X}-{MP}", journal=PC, volume="2", pages="1-14", year="1985"} @incollection{Hockney85c, author="Hockney, R.", title="Performance Characterization of the {HEP}", crossref="Kowalik85a", pages="59-90", year="1985"} @article{Hockney87a, author="Hockney, R.", title="Parametrization of Computer Performance", journal=PC, volume="5", pages="97-104", year="1987"} @article{Hoheisel84a, author="Hoheisel, C. and Schoen, M. and Vogelsang, R.", title="Vectorized Computation of Correlation Functions from Phase Space Trajectories Generated by Molecular Dynamic Calculations", journal=CPC, volume="34", pages="9-14", year="1984"} @inproceedings{Holland59a, author="Holland, J.", title="A Universal Computer Capable of Executing an Arbitrary Number of Sub-Programs Simultaneously", booktitle="Proc. European Joint Comp. Conf.", pages="108-113", year="1959"} @book{Holt78a, author="Holt, R. and Graham, G. and Lazowska, E. and Scott, M.", title="Structured Concurrent Programming", publisher="Addison-Wesley", address="Reading, MA", year="1978"} @article{Holter86a, author="Holter, W.", title="A Vectorized Multigrid Solver for the Three-Dimensional {Poisson} Equation", journal=AMC, volume="19", number="1-4", note="(Special Issue, Proceedings of the Second Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, S. McCormick, ed.)", pages="127-144", month=jul, year="1986"} @inproceedings{Holter88a, author="Holter, B.", title="Vectorized Multigrid Solvers for the Two-Dimensional Diffusion Equation", crossref="McCormick88b", year="1988"} @article{Hoppe86a, author="Hoppe, H.-C. and Muhlenbein, H.", title="Parallel Adaptive Full-Multigrid Methods on Message-Based Multiprocessors", journal=PC, volume="3", pages="269-288", year="1986"} @book{Hord82a, author="Hord, R.", title="The {Illiac} {IV}: {The} First Supercomputer", booktitle="The Illiac IV: The First Supercomputer", publisher="Computer Science Press", year="1982"} @inproceedings{Horiguchi84a, author="Horiguchi, S. and Kawazoe, Y. and Nara, H.", title="A Parallel Algorithm for the Integration of Ordinary Differential Equations", booktitle="Proc. 1984 " # ICPP, pages="465-469", year="1984"} @techreport{Horowitz86a, author="Horowitz, E.", title="Particle Codes and the {Cray}--2", institution=LLNL, number="UCRL-95055", year="1986"} @article{Horowitz87a, author="Horowitz, E.", title="Vectorizing the Interpolation Routines of Particle-in-Cell Codes", journal="J. Comp. Phys.", note="To appear", year="1987"} @article{Hoshino83a, author="Hoshino, T. and Kawai, T. and Shirakawa, T. and Higashino, J. and Yamaoka, A. and Ito, H. and Sato, T. and Sawada, K.", title="{PACS}: {A} Parallel Microprocessor Array for Scientific Calculations", journal="ACM Trans. on Comp. Sys.", volume="1", pages="195-221", year="1983"} @inproceedings{Hoshino83b, author="Hoshino, T. and Shirakawa, T. and Kamimura, T. and Kageyama, T. and Takenouochi, K. and Abe, H. and Sekiguchi, S. and Oyanagi, Y. and Toshio, K.", title="Highly Parallel Procesor Array ``{PAX}'' for Wide Scientific Applications", booktitle="Proc. 1983 " # ICPP, pages="95-105", year="1983"} @article{Hoshino84a, author="Hoshino, T. and Majima, S. and Takenouchi, K. and Oyanagi, Y.", title="Monte {Carlo} Simulation of a Spin Model on the Parallel Computer {PAX}", journal=CPC, volume="34", pages="31-38", year="1984"} @article{Hoshino84b, author="Hoshino, T. and Takenouchi, K.", title="Processing of the Molecular Dynamic Model by the Parallel Computer {PAX}", journal=CPC, volume="31", pages="287-296", year="1984"} @inproceedings{Hoshino85a, author="Hoshino, T. and Kamimura, T. and Iida, T. and Shirakawa, T.", title="Parallelized {ADI} Scheme Using {GECR} ({Gauss}-{Elimination}-{Cyclic} {Reduction}) Method and Implementation of {Navier}-{Stokes} Equation on the {PAX} Computer", booktitle="Proc. 1985 " # ICPP, pages="426-433", year="1985"} @techreport{Hoshino87a, author="Hoshino, T. and Hiromoto, R. and Sekiguchi, S. and Majima, S.", title="Mapping Schemes of the Particle-In-Cell Method Implemented on the {PAX} Computer", institution=LANL, number="LA-UR-87-2879", year="1987"} @techreport{Hotovy79a, author="Hotovy, S. and Dickson, L.", title="Evaluation of a Vectorizable 2--{D} Transonic Finite Difference Algorithm", institution="AIAA", type="Paper", number="79-0276", year="1979"} @article{Housors84a, author="Housors, E. and Wing, O.", title="Pseudo-Conjugate Directions for the Solution of the Nonlinear Unconstrained Optimization Problem on a Parallel Computer", journal="J. Optimization Theory and Applications", volume="42", pages="169-180", year="1984"} @incollection{Houstis84a, author="Houstis, C. and Houstis, E. and Rice, J.", title="Partitioning and Allocation of {PDE} Computations in Distributed Systems", booktitle="PDE Software: Modules, Interfaces and Systems", editor="Engquist, B. and Smedsaas, T.", publisher="North-Holland", address="Amsterdam", pages="67-87", year="1984"} @techreport{Houstis86a, author="Houstis, C. and Houstis, E. and Rice, J.", title="Performance Evaluation Models for Distributed Computing", institution=DCS # ", Purdue University", number="CSD-TR-576", month=jan, year="1986"} @article{Houstis87a, author="Houstis, C. and Houstis, E. and Rice, J.", title="Partitioning {PDE} Computations: {Methods} and Performance Evaluation", journal=PC, volume="5", pages="141-164", year="1987"} @inproceedings{Houstis87b, author="Houstis, C. and Houstis, E. and Rice, J. and Samartzis, M.", title="Benchmarking of Bus Multiprocessor Hardware on Large Scale Scientific Computing", crossref="Vichnevetsky87a", year="1987"} @inproceedings{Houstis87c, author="Houstis, E. and Rice, J. and Vavalis, E.", title="Parallelization of a New Class of Cubic Spline Collocation Methods", crossref="Vichnevetsky87a", pages="167-174", year="1987"} @techreport{Houstis88a, author="Houstis, E. and Rice, J. and Vavalis, E.", title="A {Schwartz} Splitting Variant of Cubic Spline Collocation Methods for Elliptic {PDEs}", institution=DCS # ", Purdue University", number="CSD-TR-745", year="1988"} @article{Hu61a, author="Hu, T.", title="Parallel Sequencing and Assembly Line Problem", journal=OR, volume="9", pages="841-848", year="1961"} @techreport{Huang74a, author="Huang, H.-M.", title="A Parallel Algorithm for Symmetric Tridiagonal Eigenvalue Problems", institution=CAC # ", University of Illinois at Urbana-Champaign", number="109", month=feb, year="1974"} @inproceedings{Huang78a, author="Huang, J. and Wing, O.", title="On Minimum Completion Time and Optimal Scheduling of Parallel Triangulation of a Sparse Matrix", booktitle="IEEE Power Engineering Society Summer Meeting", publisher="Institute of Electrical and Electronics Engineers, Inc.", address="Los Angeles", note="(IEEE Pes Abstract No. A78-567-0)", year="1978"} @article{Huang79a, author="Huang, J. and Wing, O.", title="Optimal Parallel Triangulation of a Sparse Matrix", journal="IEEE Trans. Circuits and Syst.", volume="CAS-26", pages="726-732", year="1979"} @inproceedings{Huang82a, author="Huang, K. and Abraham, J.", title="Efficient Parallel Algorithms for Processor Arrays", booktitle="Proc. 1982 " # ICPP, pages="271-279", year="1982"} @inproceedings{Huang84a, author="Huang, K. and Abraham, J.", title="Fault-Tolerant Algorithms and Their Application to Solving {Laplace} Equations", booktitle="Proc. 1984 " # ICPP, pages="117-122", year="1984"} @incollection{Huff82a, author="Huff, R. and Dawson, J. and Culler, G.", title="Plasma Physics on an Array Processor", crossref="Rodrigue82a", pages="365-396", year="1982"} @article{Hughes87a, author="Hughes, T. and Ferencz, R. and Hallquist, J.", title="Large Scale Vectorized Implicit Calculations in Solid Mechanics on a {CRAY}-{X}-{MP}/48 Utilizing {EBE} Preconditioned Conjugate Gradient", journal=CMAME, volume="61", pages="215-248", year="1987"} @inproceedings{Hughes88a, author="Hughes, T. and Ferencz, R.", title="Fully Vectorized {EBE} Preconditioners for Nonlinear Solid Mechanics: {Applications} to Large-Scale Three-Dimensional Continuum, Shell and Contact/Impact Problems", crossref="Glowinski88a", pages="261-280", year="1988"} @inproceedings{Hunt79a, author="Hunt, D.", title="Application Techniques for Parallel Hardware", crossref="Jesshope79b", pages="205-219", year="1979"} @incollection{Hunt81a, author="Hunt, D. and Webb, S. and Wilson, A.", title="Applications of a Parallel Processor to the Solution of Finite Difference Problems", crossref="Schultz81a", pages="339-344", year="1981"} @inproceedings{Huson86a, author="Huson, C. and Macke, T. and Davies, J. and Wolfe, M. and Leasure, B.", title="The {KAP}/205: {An} Advanced Source-To-Source Vectorizer for the {Cyber} 205 Supercomputer", booktitle="Proc. 1986 " # ICPP, pages="827-835", year="1986"} @inproceedings{Hwang80a, author="Hwang, K. and Cheng, Y.-H.", title="{VLSI} Computing Structures for Solving Large Scale Linear Systems of Equations", booktitle="Proc. 1980 " # ICPP, pages="217-227", year="1980"} @article{Hwang81a, author="Hwang, K. and Su, S. and Ni, L.", title="Vector Computer Architecture and Processing Techniques", journal="Advances in Computers", volume="20", pages="115-197", year="1981"} @article{Hwang82a, author="Hwang, K.", title="Partitioned Matrix Algorithms for {VLSI} Arithmetic Systems", journal=TOC, volume="C-31", pages="1215-1224", year="1982"} @book{Hwang84a, author="Hwang, K.", title="Computer Architecture and Parallel Computing", booktitle="Computer Architecture and Parallel Computing", publisher="McGraw Hill", address="New York, NY", year="1984"} @book{Hwang84b, author="Hwang, K. and Briggs, F.", title="Computer Architecture and Parallel Processing", booktitle="Computer Architecture and Parallel Processing", publisher="McGraw Hill", address="New York, NY", year="1984"} @article{Hwang85a, author="Hwang, K.", title="Multiprocessor Supercomputers for Scientific/Engineering Applications", journal="Computer", volume="18", number="6", pages="57-73", year="1985"} @inproceedings{Hwang85b, author="Hwang, K. and Xu, Z.", title="Remps: {A} Reconfigurable Multiprocessor for Scientific Supercomputing", booktitle="Proc. 1985 " # ICPP, pages="102-111", year="1985"} @book{Hwang86a, editor="Hwang, K. and Jacobs, S. and Swartzlander, E.", title="Parallel Processing", booktitle="Parallel Processing", publisher="North-Holland", year="1986"} @article{Hwang87a, author="Hwang, K. and Ghosh, J.", title="Hypernet: {A} Communication-Efficient Architecture for Constructing Massively Parallel Computers", journal=TOC, volume="C-36", pages="1450-1466", year="1987"} @techreport{Hyafil74a, author="Hyafil, L. and Kung, H.", title="Parallel Algorithms for Solving Triangular Linear Systems with Small Parallelism", institution=DCS # ", " # CMU, year="1974"} @inproceedings{Hyafil75a, author="Hyafil, L. and Kung, H.", title="Bounds on the Speed-ups of Parallel Evaluation of Recurrences", booktitle="Proc. Second USA --- Japan Comp. Conf.", pages="178-182", year="1975"} @article{Hyafil77a, author="Hyafil, L. and Kung, H.", title="The Complexity of Parallel Evaluation of Linear Recurrences", journal=JACM, volume="24", pages="513-521", year="1977"} @proceedings{Inouye77a, editor="Inouye, M.", title="Future Computer Requirements for Computational Aerodynamics, Workshop at NASA-Ames, Conf. Publ. No. 2032", booktitle="Future Computer Requirements for Computational Aerodynamics, Workshop at NASA-Ames, Conf. Publ. No. 2032", year="1977"} @techreport{Ipsen84a, author="Ipsen, I.", title="A Parallel {QR} Method Using Fast {Givens'} Rotations", institution=DCS # ", Yale University", number="YALEU/DCS/RR-299", year="1984"} @inproceedings{Ipsen84b, author="Ipsen, I.", title="Singular Value Decomposition with Systolic Arrays", booktitle="Proc. Soc. Photo-Optical Eng., Bellingham, WA", year="1984"} @techreport{Ipsen85a, author="Ipsen, I. and Saad, Y.", title="The Impact of Parallel Architectures on the Solution of Eigenvalue Problems", institution=DCS # ", Yale University", number="YALEU/DCS/RR-444", month=dec, year="1985"} @article{Ipsen86a, author="Ipsen, I. and Saad, Y. and Schultz, M.", title="Complexity of Dense Linear System Solution on a Multiprocessor Ring", journal=LAA, volume="77", pages="205-239", year="1986"} @techreport{Ipsen87a, author="Ipsen, I.", title="Systolic Algorithms for the Parallel Solution of Dense Symmetric Positive-Definite {Toeplitz} Systems", institution=DCS # ", Yale University", number="YALEU/DCS/RR-539", month=may, year="1987"} @techreport{Ipsen87b, author="Ipsen, I. and Jessup, E.", title="Solving the Symmetric Tridiagonal Eigenvalue Problem on the Hypercube", institution=DCS # ", Yale University", number="YALEU/DCS/RR-548", year="1987"} @inproceedings{Ipsen87c, author="Ipsen, I. and Jessup, E.", title="Two Methods for Solving the Symmetric Tridiagonal Eigenvalue Problem on the Hypercube", crossref="Heath87b", pages="627-638", year="1987"} @inproceedings{Iqbal86a, author="Iqbal, M. and Saltz, J. and Bokhari, S.", title="A Comparative Analysis of Static and Dynamic Load Balancing Strategies", booktitle="Proc. 1986 " # ICPP, pages="1040-1047", year="1986"} @article{Ishiguro82a, author="Ishiguro, M. and Koshi, Y.", title="Vectorization for Solving the Neutron Diffusion Equations --- {Some} Numerical Experiments", journal="Nuc. Sci. Eng.", volume="80", pages="322-328", year="1982"} @techreport{Jalby86a, author="Jalby, W. and Meier, U.", title="Optimizing Matrix Operations on a Parallel Multiprocessor with a Memory Hierarchy", institution=CSRD # ", University of Illinois at Urbana-Champaign", number="555", month=feb, year="1986"} @techreport{Jalby86b, author="Jalby, W. and Meier, U. and Sameh, A.", title="The Behaviour of Conjugate Gradient Based Algorithms on a Multi-Vector Processor with a Memory Hierarchy", institution=CSRD # ", University of Illinois at Urbana-Champaign", number="607", month=nov, year="1986"} @article{Jamieson86a, author="Jamieson, L. and Mueller, P. and Siegel, H.", title="{FFT} Algorithms for {SIMD} Parallel Processing Systems", journal=JPDC, volume="3", pages="48-71", year="1986"} @book{Jamieson87a, editor="Jamieson, L. and Gannon, D. and Douglas, R.", title="The Characteristics of Parallel Algorithms", booktitle="The Characteristics of Parallel Algorithms", publisher="MIT Press", year="1987"} @techreport{Jayasimha87a, author="Jayasimha, D. and Loui, M.", title="The Communication Complexity of Parallel Algorithms", institution=CSRD # ", University of Illinois at Urbana-Champaign", number="629", year="1987"} @article{Jess82a, author="Jess, J. and Kees, H.", title="A Data Structure for Parallel {L}/{U} Decomposition", journal=TOC, volume="C-31", pages="231-239", year="1982"} @article{Jesshope77a, author="Jesshope, C.", title="Evaluation of {Illiac}: {Overlap}, Non-Overlap", journal="Institute for Advanced Computation Newsletter", volume="1", pages="4-5", year="1977"} @inproceedings{Jesshope79a, author="Jesshope, C. and Craigie, J.", title="Some Principles of Parallelism in Particle and Mesh Modeling", crossref="Jesshope79b", pages="221-236", year="1979"} @proceedings{Jesshope79b, editor="Jesshope, C. and Hockney, R.", title="Infotech State of the Art Report: Supercomputers, vol. 1 \& 2", booktitle="Infotech State of the Art Report: Supercomputers, vol. 1 \& 2", publisher="Maidenhead: Infotech Int. Ltd.", year="1979"} @article{Jesshope80a, author="Jesshope, C.", title="The Implementation of the Fast Radix 2 Transforms on Array Processors", journal=TOC, volume="C-29", pages="20-27", year="1980"} @article{Jesshope80b, author="Jesshope, C.", title="Some Results Concerning Data Routing in Array Processors", journal=TOC, volume="C-29", pages="659-662", year="1980"} @article{Jianping87a, author="Jianping, S. and Lishan, K.", title="An Asynchonous Parallel Mixed Algorithm for Linear and Nonlinear Equations", journal=PC, volume="5", pages="313-321", year="1987"} @inproceedings{Johnson81a, author="Johnson, O.", title="Vector Function Chainer Software for Banded Preconditioned Conjugate Gradient Calculations", booktitle="Advances in Computer Methods for Partial Differential Equations - IX, Proc. 10th IMACS World Congress on Systems Simulation and Scientific Computation, vol. 1", publisher="IMACS", pages="243-245", year="1981"} @techreport{Johnson81b, author="Johnson, O. and Edwards, M.", title="Progress on the {3D} Wave Equation Program for the {CDC} {Cyber} 205", institution="Seismic Acoustics Lab.", type="Fourth year Semi-Annual Prog. Rep.", number="vol. 7", pages="11-15", year="1981"} @techreport{Johnson81c, author="Johnson, O. and Paul, G.", title="Optimal Parametrized Incomplete Inverse Preconditioning for Conjugate Gradient Calculations", institution="IBM", number="RC-8644", address="Yorktown Heights, NY", year="1981"} @incollection{Johnson81d, author="Johnson, O. and Paul, G.", title="Vector Algorithms for Elliptic Partial Differential Equations Based on the {Jacobi} Method", crossref="Schultz81a", pages="345-351", year="1981"} @inproceedings{Johnson82a, author="Johnson, O. and Lewitt, M.", title="{PPCG} Software for the {CDC} {CYBER} 205", crossref="Control82a", year="1982"} @article{Johnson83a, author="Johnson, J.", title="{ETA} Leaves Home", journal="Datamation", volume="29", number="10", pages="74-86", year="1983"} @article{Johnson83b, author="Johnson, O. and Micchelli, C. and Paul, G.", title="Polynomial Preconditioners for Conjugate Gradient Calculations", journal=SINUM, volume="20", pages="362-376", year="1983"} @article{Johnson84a, author="Johnson, O.", title="Three-Dimensional Wave Equation Computations on Vector Computers", journal="Proc. IEEE", volume="72", pages="90-95", year="1984"} @article{Johnson85a, author="Johnson, G. and Swisshelm, J. and Kumar, S.", title="Concurrent Processing Adaptation of a Multiple-Grid Algorithm", journal="AIAA J.", year="1985"} @incollection{Johnson86a, author="Johnson, G. and Swisshelm, J. and Pryor, D. and Ziebarth, J.", title="Multitasked Embedded Multigrid for Three-Dimensional Flow Simulation", booktitle="Lecture Notes in Physics", volume="264", publisher="Springer-Verlag", address="Berlin", pages="350-356", year="1986"} @techreport{Johnson87a, author="Johnson, G.", title="Parallel Processing in Fluid Dynamics", institution="Institute for Scientific Computing, Fort Collins, CO", number="87003", year="1987"} @inproceedings{Johnson88a, author="Johnson, G. and Swisshelm, J.", title="Multigrid for Parallel-Processing Supercomputers", crossref="McCormick88b", year="1988"} @techreport{Johnsson81a, author="Johnsson, L.", title="Computational Arrays for Band Matrix Equations", institution=DCS # ", California Institute of Technology", number="4287:TR:81", month=may, year="1981"} @inproceedings{Johnsson82a, author="Johnsson, L.", title="A Computational Array for the {QR}-Method", booktitle="Proc. 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McCormick, ed.)", pages="169-200", month=jul, year="1986"} @article{Koniges87a, author="Koniges, A. and Anderson, D.", title="{ILUBCG2}: {A} Preconditioned Biconjugate Gradient Routine for the Solution of Linear Asymmetric Matrix Equations Arising from 9-Point Discretizations", journal=CPC, volume="43", pages="297-", year="1987"} @inproceedings{Koniges87b, author="Koniges, A. and Anderson, D.", title="Optimized Matrix Solution Packages for use in Plasma Physics Codes", booktitle="Annual Controlled Fusion Theory Conference, San Diego, CA", note="Paper 2D12", year="1987"} @inproceedings{Koniges87c, author="Koniges, A. and Anderson, D.", title="Vectorized and Multitasked Software Packages for Solving Asymmetric Matrix Equations", crossref="Vichnevetsky87a", pages="118", year="1987"} @inproceedings{Kopp77a, author="Kopp, H.", title="Numerical Weather Forecast with the Multi-Microprocessor System {SMS201}", crossref="Feilmeier77a", pages="265-268", year="1977"} @article{Korn79a, author="Korn, D. and Lambiotte, J.", title="Computing the Fast {Fourier} Transform on a Vector Computer", journal=MC, volume="33", pages="977-992", year="1979"} @incollection{Kotov84a, author="Kotov, V.", title="Formal Models of Parallel Computations", crossref="Miklosko84d", pages="109-141", year="1984"} @incollection{Kotov84b, author="Kotov, V. and Valkouskii, V.", title="Automatic Construction of Parallel Programs", crossref="Miklosko84d", pages="65-107", year="1984"} @inproceedings{Kowalik82a, author="Kowalik, J. and Kumar, S.", title="An Efficient Parallel Block Conjugate Gradient Method for Linear Equations", booktitle="Proc. 1982 " # ICPP, pages="47-52", year="1982"} @incollection{Kowalik83a, author="Kowalik, J.", title="Preliminary Experience with Multiple-Instruction Multiple Data Computation", crossref="Noor83a", pages="49-54", year="1983"} @proceedings{Kowalik84a, editor="Kowalik, J.", title="Proceedings of the NATO Workshop on High Speed Computations, West Germany, NATO ASI Series, vol. F-7", booktitle="Proceedings of the NATO Workshop on High Speed Computations, West Germany, NATO ASI Series, vol. F-7", publisher="Springer-Verlag", address="Berlin", year="1984"} @inproceedings{Kowalik84b, author="Kowalik, J. and Lord, R. and Kumar, S.", title="Design and Performance of Algorithms for {MIMD} Parallel Computers", crossref="Kowalik84a", pages="257-276", year="1984"} @book{Kowalik85a, author="Kowalik, J.", title="Parallel MIMD Computation: HEP Supercomputer and Its Applications", booktitle="Parallel MIMD Computation: HEP Supercomputer and Its Applications", publisher="MIT Press", address="Cambridge, MA", year="1985"} @inproceedings{Kratz84a, author="Kratz, M.", title="Some Aspects of Using Vector Computers for Finite Element Analyses", crossref="Feilmeier84a", pages="349-354", year="1984"} @article{Kratz84b, author="Kratz, M.", title="Vectorised Finite-Element Stiffness Generation: {Tuning} the {Noor}-{Lambiotte} Algorithm", journal=PC, volume="1", pages="121-132", year="1984"} @techreport{Krist87a, author="Krist, S. and Zang, T.", title="Algorithm Implementation on the {Navier}-{Stokes} Computer", institution=NLRC, number="NASA-TM-89119", address="Hampton, VA", year="1987"} @book{Kronsjo86a, author="Kronsjo, L.", title="Computational Complexity of Sequential and Parallel Algorithms", booktitle="Computational Complexity of Sequential and Parallel Algorithms", publisher="Wiley", address="New York, NY", year="1986"} @article{Kruskal83a, author="Kruskal, C. and Snir, M.", title="The Performance of Multistage Interconnection Networks for Multiprocessors", journal=TOC, volume="C-32", number="12", pages="1091-1098", year="1983"} @article{Kruskal83b, author="Kruskal, C.", title="Searching, Merging and Sorting in Parallel Computations", journal=TOC, volume="C-32", number="10", pages="942-946", year="1983"} @incollection{Kuck72a, author="Kuck, D. and Sameh, A.", title="Parallel Computation of Eigenvalues of Real Matrices", booktitle="Information Processing '71", publisher="North-Holland", pages="1266-1272", year="1972"} @inproceedings{Kuck73a, author="Kuck, D. and Budnick, P. and Chen, S. and Davis, E. and Han, J. and Kraska, P. and Lawrie, D. and Muraoka, Y. and Strehendt, R. and Towle, R.", title="Measurement of Parallelism in Ordinary {Fortran} Programs", booktitle="Proc. Sagamore Conf. Parallel Processing", pages="23-36", year="1973"} @incollection{Kuck76a, author="Kuck, D.", title="Parallel Processing of Ordinary Programs", booktitle="Advances in Computers", volume="15", publisher="Academic Press", address="NY", pages="119-179", year="1976"} @article{Kuck77a, author="Kuck, D.", title="A Survey of Parallel Machine Organization and Programming", journal=ACMCS, volume="9", pages="29-59", year="1977"} @book{Kuck77b, editor="Kuck, D. and Lawrie, D. and Sameh, A.", title="High Speed Computer and Algorithm Organization", booktitle="High Speed Computer and Algorithm Organization", publisher="Academic Press", address="New York, NY", year="1977"} @book{Kuck78a, author="Kuck, D.", title="The Structure of Computers and Computation", booktitle="The Structure of Computers and Computation", publisher="John Wiley and Sons", address="New York, NY", year="1978"} @article{Kuck82a, author="Kuck, D. and Stokes, R.", title="The {Burroughs} {Scientific} {Processor} ({BSP})", journal=TOC, volume="C-31", pages="363-376", year="1982"} @inproceedings{Kuck84a, author="Kuck, D. and Gajski, D.", title="Parallel Processing of Sparse Structures", crossref="Kowalik84a", pages="229-244", year="1984"} @article{Kuck84b, author="Kuck, D. and McGraw, J. and Wolfe, M.", title="A Debate: {Retire} {FORTRAN}?", journal="Physics Today", volume="37", number="5", pages="66-75", year="1984"} @inproceedings{Kuck84c, author="Kuck, D. and Sameh, A. and Cytron, R. and Veidenbaum, A. and Polychronopoulos, C. and Lee, G. and McDaniel, T. and Leasure, B. and Beckman, C. and Davies, J. and Kruskal, C.", title="The Effects of Program Restructuring Algorithm Change and Architecture Choice on Program Performance", booktitle="Proc. 1984 " # ICPP, pages="129-138", year="1984"} @article{Kuck86a, author="Kuck, D. and Davidson, E. and Lawrie, D. and Sameh, A.", title="Parallel Supercomputing Today and the {Cedar} Approach", journal="Science", volume="231", pages="967-974", year="1986"} @incollection{Kuck86b, author="Kuck, D. and Lawrie, D. and Cytron, R. and Sameh, A. and Gajski, D.", title="{Cedar} Project", crossref="Sharp86a", pages="97-123", year="1986"} @book{Kuhn81a, author="Kuhn, R. and Padua, D.", title="Parallel Processing", booktitle="Parallel Processing", publisher="IEEE Computer Society Press", year="1981"} @techreport{Kumar80a, author="Kumar, A. and Graves, R. and Weilmuenster, K.", title="User's Guide for Vectorized Code {EQUIL} for Calculating Equilibrium Chemistry on {Control} {Data} {STAR}-100 Computer", institution=NLRC, type="NASA Tech. Memo.", number="80192", year="1980"} @inproceedings{Kumar82a, author="Kumar, A. and Rudy, D. and Drummond, J. and Harris, J.", title="Experiences with Explicit Finite Difference Schemes for Complex Fluid Dynamics Problems on {STAR}-100 and {CYBER} 203 Computers", crossref="Control82a", year="1982"} @phdthesis{Kumar82b, author="Kumar, S.", title="Parallel Algorithms for Solving Linear Equations on {MIMD} Computers", school="Washington State University", address=DCS, year="1982"} @inproceedings{Kumar84a, author="Kumar, S. and Kowalik, J.", title="Parallel Factorization of a Positive Definite Matrix on an {MIMD} Computer", booktitle="Proc. 1984 " # ICPP, pages="410-416", year="1984"} @article{Kumar86a, author="Kumar, S. and Kowalik, J.", title="Triangularization of a Positive Definite Matrix on a Parallel Computer", journal=JPDC, volume="3", pages="450-460", year="1986"} @article{Kumar88a, author="Kumar, M.", title="Measuring Parallelism in Computation-Intensive Scientific/Engineering Applications", journal=TOC, volume="37", number="9", pages="1088-1098", month=sep, year="1988"} @incollection{Kung76a, author="Kung, H.", title="Synchronized and Asynchronous Parallel Algorithms for Multi-processors", booktitle="Algorithms and Complexity", editor="Traub, J.", publisher="Academic Press", address="New York", pages="153-200", year="1976"} @incollection{Kung77a, author="Kung, H. and Stevenson, D.", title="A Software Technique for Reducing the Routing Time on a Parallel Computer with a Fixed Interconnection Network", crossref="Kuck77b", pages="423-433", year="1977"} @inproceedings{Kung79a, author="Kung, H.", title="Let's Design Algorithms for {VLSI} Systems", booktitle="Proc. Conf. Very Large Scale Integration, California Institute of Technology", pages="65-90", year="1979"} @inproceedings{Kung79b, author="Kung, H. and Leiserson, C.", title="Systolic Arrays (for {VLSI})", booktitle="Sparse Matrix Proceedings (1978)", editor="Duff, I. and Stewart, G.", publisher=SIAM, pages="256-282", year="1979"} @incollection{Kung80a, author="Kung, H.", title="The Structure of Parallel Algorithms", booktitle="Advances in Computers", volume="19", editor="Youvits, M.", publisher="Academic Press", pages="65-112", year="1980"} @inproceedings{Kung81a, author="Kung, S. and Hu, Y.", title="Fast and Parallel Algorithms for Solving {Toeplitz} Systems", booktitle="Proc. Internat. Symp. on Mini- and Micro-computers in Control and Measurement", address="San Francisco", pages="163-168", month="may", year="1981"} @book{Kung81b, editor="Kung, H. and Sproull, R. and Steele, G.", title="VLSI Systems and Computations", booktitle="VLSI Systems and Computations", publisher="Computer Science Press", address="Rockville, MD", year="1981"} @article{Kung82a, author="Kung, H.", title="Why Systolic Architectures?", journal="Computer", volume="15", number="1", pages="37-46", year="1982"} @unpublished{Kung82b, author="Kung, H. and Yu, S.", title="Integrating High-Performance Special-Purpose Devices into a System", note="Presented at the IBM Symposium on Vector Computers and Scientific Computing, Rome", year="1982"} @inproceedings{Kung82c, author="Kung, S. and Gal-Ezar, R.", title="Linear or Sparse Array for Eigenvalue and Singular Value Decompositions?", booktitle="Proc. USC Workshop on VLSI and Modern Signal Processing, Los Angeles", pages="89-98", year="1982"} @article{Kung82d, author="Kung, S. and Gal-Ezar, R. and Arun, K. and Bhaskarrao, D.", title="Wavefront Array Processor; {Architecture}, Language and Application", journal=TOC, volume="C-31", pages="1054-1066", year="1982"} @article{Kung83a, author="Kung, S. and Hu, Y.", title="A Highly Concurrent Algorithm and Pipelined Architecture for Solving {Toeplitz} Systems", journal="IEEE Trans. Acoustics, Speech and Signal Processing", volume="ASSP-31", pages="66-76", year="1983"} @incollection{Kung84a, author="Kung, H.", title="Systolic Algorithms", crossref="Parter84a", pages="127-140", year="1984"} @article{Kung84b, author="Kung, S.", title="On Supercomputing with Systolic/Wavefront Array Processors", journal="Proc. IEEE", volume="72", pages="867-884", year="1984"} @inproceedings{Kung85a, author="Kung, H. and Webb, J.", title="Global Operations on the {CMU} {Warp} Machine", booktitle="Proceedings of 1985 AIAA Computers in Aerospace V Conference, October", publisher="AIAA", pages="209-218", year="1985"} @incollection{Kung85b, author="Kung, S. and Gal-Ezar, R.", title="Eigenvalue, Singular Value and Least Squares Solvers via the Wavefront Array Processor", crossref="Snyder85b", pages="201-212", year="1985"} @article{Kung87a, author="Kung, S. and Lo, S. and Jean, S. and Hwang, J.", title="Wavefront Array Processors --- {Concept} to Implementation", journal="Computer", volume="20", number="7", pages="18-33", year="1987"} @inproceedings{Kunkel87a, author="Kunkel, S. and Smith J.", title="Solving Linear Recurrences on Pipelined Computers", crossref="Kartashev87a", pages="384-391", year="1987"} @inproceedings{Kuo86a, author="Kuo, H.-C. and Kumar, S.", title="Solving Positive Definite Linear Systems on Vector Computers", booktitle="Proc. 1986 " # ICPP, pages="441-443", year="1986"} @article{Kuo87a, author="Kuo, J. and Levy, B. and Muskus, B.", title="A Local Relaxation Method for Solving Elliptic {PDEs} on Mesh Connected Arrays", journal=SISSC, volume="8", pages="550-573", year="1987"} @techreport{Kuo88a, author="Kuo, C.-C. and Chan, T.", title="Two-Color {Fourier} Analysis of Iterative Algorithms for Elliptic Problems with Red/Black Ordering", institution="Department of Mathematics, UCLA", type="CAM Report", number="88-15", year="1988"} @techreport{Kwok86a, author="Kwok, A.", title="The Multiprocessor Modified {Pease} {FFT} Algorithm", institution=CSRD # ", University of Illinois at Urbana-Champaign", year="1986"} @techreport{Kwok87a, author="Kwok, A.", title="A Performance Analysis of Architectural Scalability", institution=CSRD # ", University of Illinois at Urbana-Champaign", number="679", month=aug, year="1987"} @article{Lai87a, author="Lai, C. and Liddell, H.", title="A Review of Parallel Finite Element Methods on the {DAP}", journal="Appl. Numer. Mod.", volume="11", pages="330-341", year="1987"} @techreport{Lakshmivarahan86a, author="Lakshmivarahan, S. and Dhall, S.", title="A New Hierarchy of Hypercube Interconnection Schemes for Parallel Computers: {Theory} and Applications", institution="University of Oklahoma", month=aug, year="1986"} @inproceedings{Lakshmivarahan87a, author="Lakshmivarahan, S. and Dhall, S.", title="A Lower Bound on the Communication Complexity in Solving Linear Tridiagonal Systems on Cube Architectures", crossref="Heath87b", pages="560-568", year="1987"} @techreport{Lambiotte74a, author="Lambiotte, J. and Howser, L.", title="Vectorization on the {STAR} Computer of Several Numerical Methods for a Fluid Flow Problem", institution=NLRC, number="NASA TN D-7545", year="1974"} @phdthesis{Lambiotte75a, author="Lambiotte, J.", title="The Solution of Linear Systems of Equations on a Vector Computer", school="The University of Virginia", address="Department of Applied Mathematics and Computer Science", year="1975"} @article{Lambiotte75b, author="Lambiotte, J. and Voigt, R.", title="The Solution of Tridiagonal Linear Systems on the {CDC} {STAR}-100 Computer", journal=ACMTMS, volume="1", pages="308-329", year="1975"} @inproceedings{Lambiotte79a, author="Lambiotte, J.", title="The Development of a {STAR}--100 Code to Perform a 2--{D} {FFT}", booktitle="Proc. Lawrence Livermore Lab. Conf. Sci. Compt.", year="1979"} @inproceedings{Lambiotte84a, author="Lambiotte, J.", title="Efficient Sparse Matrix Multiplication Scheme for the {CYBER} 203", crossref="Gary84a", pages="243-256", year="1984"} @article{Lamport74a, author="Lamport, L.", title="The Parallel Execution of {DO} Loops", journal=CACM, volume="17", pages="83-93", year="1974"} @article{Lang86a, author="Lang, B. and Miellou, J. and Spiteric, P.", title="Asynchronous Relaxation Algorithms for Optimal Control Problems", journal=MCS, volume="28", pages="227-242", year="1986"} @article{Larhoven85a, author="van Larhoven, P.", title="Parallel Variable Metric Algorithms for Unconstrained Optimization", journal="Math. Programming", volume="33", pages="68-81", year="1985"} @inproceedings{Larrabee87a, author="Larrabee, A. and Babb, R.", title="Adaptation of a Large-Scale Computational Chemistry Program for the {Intel} {iPSC} Concurrent Computer", crossref="Heath87b", pages="464-472", year="1987"} @article{Larson84a, author="Larson, J.", title="Multitasking on the {CRAY} {X}--{MP}--2 Multiprocessor", journal="Computer", volume="17", number="7", pages="62-69", year="1984"} @techreport{Law82a, author="Law, K.", title="Systolic Systems for Finite Element Methods", institution="Department of Civil Engineering, " # CMU, number="R-82-139", year="1982"} @article{Lawrie75a, author="Lawrie, D.", title="Access and Alignment of Data in An Array Processor", journal=TOC, volume="C-24", pages="1145-1155", year="1975"} @article{Lawrie75b, author="Lawrie, D. and Layman, T. and Baer, D. and Randall, J.", title="Glypnir --- {A} Programming Language for {Illiac} {IV}", journal=CACM, volume="18", pages="157-164", year="1975"} @incollection{Lawrie83a, author="Lawrie, D. and Sameh, A.", title="Applications of Structural Mechanics on Large-Scale Multiprocessor Computers", crossref="Noor83a", pages="55-64", year="1983"} @article{Lawrie84a, author="Lawrie, D. and Sameh, A.", title="The Computation and Communication Complexity of a Parallel Banded System Solver", journal=ACMTMS, volume="10", pages="185-195", year="1984"} @book{Lazou87a, author="Lazou, C.", title="Supercomputers and Their Use", booktitle="Supercomputers and Their Use", publisher="Oxford University Press", year="1987"} @techreport{LeBlanc86a, author="LeBlanc, T.", title="Shared Memory versus Message Passing in a Tightly Coupled Multiprocessor: {A} Case Study", institution=DCS # ", University of Rochester", month=jan, year="1986"} @article{LeBlanc88a, author="LeBlanc, T. and Scott, M. and Brown, C.", title="Large-Scale Parallel Programming: {Experience} with the {BBN} {Butterfly} Parallel Processor", journal="SIGPLAN Notices", volume="23", number="9", month=sep, pages="161-172", year="1988"} @inproceedings{Leca83a, author="Leca, P. and Roy, P.", title="Simulation Numerique de la Turbulence sur un syst\`eme Multi-Processor", booktitle="First. Int. Coll. on Vector and Parallel Methods, Paris", year="1983"} @incollection{Lee77a, author="Lee, R.", title="Performance Bounds in Parallel Processor Organizations", crossref="Kuck77b", pages="453-455", year="1977"} @article{Lee80a, author="Lee, J.", title="Three-Dimensional Finite Element Analysis of Layered Fiber-Reinforced Composite Materials", journal="Computers and Structures", volume="12", pages="319", year="1980"} @article{Lee85a, author="Lee, G. and Kruskal, C. and Kuck, D.", title="An Empirical Study of Automatic Restructuring of Nonnumerical Programs for Parallel Processors", journal=TOC, volume="C-34", pages="927-933", year="1985"} @book{Legendi86a, editor="Legendi, T. and Parkinson, D. and Vollman, R. and Wolf, G.", title="Parallel Processing by Cellular Automata and Arrays", booktitle="Parallel Processing by Cellular Automata and Arrays", publisher="North-Holland", year="1986"} @article{Lehman66a, author="Lehman, M.", title="A Survey of Problems and Preliminary Results Concerning Parallel Processing and Parallel Processors", journal="Proc. IEEE", volume="54", pages="1889-1901", year="1966"} @inproceedings{Leiserson85a, author="Leiserson, C.", title="Fat-Trees: {Universal} Networks for Hardware-Efficient Supercomputing", booktitle="Proc. 1985 " # ICPP, pages="393-402", year="1985"} @article{Leiserson85b, author="Leiserson, C.", title="Fat-Trees: {Universal} Networks for Hardware-Efficient Supercomputing", journal=TOC, volume="C-34", pages="892-901", year="1985"} @techreport{Leiserson88a, author="Leiserson, C. and Lewis, J.", title="Orderings for Parallel Sparse Symmetric Factorization", institution=BCS, number="ETA-TR-85", month=mar, year="1988"} @article{Lelarasmee82a, author="Lelarasmee, E. and Ruehli, A. and Sangiovanni-Vincentelli, A.", title="The Wavefront Relaxation Method for Time-Domain Analysis of Large Scale Integrated Circuits", journal="IEEE Trans. Computer-Aided Design of Integrated Circuits and Systems", volume="CAD-1", pages="131-145", year="1982"} @misc{Lemke85a, author="Lemke, M.", title="Experiments with a Vectorized Multigrid {Poisson} Solver on the {CDC} {CYBER} 205, {Cray} {X}-{MP} and {Fujitsu} {VP} 200", howpublished="Arbeitspapiere der GMD, Nr. 179. Gesellschaft fur Mathematik und Datenverarbeitung, St. Augustin", year="1985"} @article{Lenstra78a, author="Lenstra, J. and Rinnooy Kan, A.", title="Complexity of Scheduling under Precedence Constraints", journal=OR, volume="26", pages="22-35", year="1978"} @phdthesis{Leuze81a, author="Leuze, M.", title="Memory Access Patterns in Vector Computers with Application to Problems in Linear Algebra", school="Duke University", address=DCS, year="1981"} @article{Leuze83a, author="Leuze, M. and Saxton, L.", title="On Minimum Parallel Computing Times for {Gaussian} Elimination", journal="Congressus Numerantium", volume="40", pages="169-179", year="1983"} @article{Leuze86a, author="Leuze, M.", title="Parallel Triangularization of Substructured Finite Element Problems", journal=LAA, volume="77", pages="241-258", year="1986"} @article{Leuze88a, author="Leuze, M.", title="Independent Set Orderings for Parallel {Gaussian} Elimination", journal=PC # " (to appear)", year="1988"} @book{Levesque89a, author="Levesque, J. and Williamson, J.", title="A Guidebook to Fortran on Supercomputers", booktitle="A Guidebook to Fortran on Supercomputers", publisher="Academic Press", address="San Diego, CA", year="1989"} @inproceedings{Levin85a, author="Levin, E.", title="Suitability of a Data Flow Architecture for Problems Involving Simple Operations on Large Arrays", booktitle="Proc. 1985 " # ICPP, pages="518-520", year="1985"} @article{Levine82a, author="Levine, R.", title="Supercomputers", journal="Sci. Amer.", volume="246", month=jan, pages="118-135", year="1982"} @inproceedings{Lewis86a, author="Lewis, J. and Simon, H.", title="The Impact of Hardware Gather/Scatter on Sparse {Gaussian} Elimination", booktitle="Proc. 1986 " # ICPP, pages="366-368", year="1986"} @techreport{Lewis88a, author="Lewis, J. and Peyton, B.", title="A Fast Implementation of the {Jess} and {Kees} Algorithm", institution=BCS, number="ETA-TR-90", month=may, year="1988"} @article{Lewis88b, author="Lewis, J. and Simon, H.", title="The Impact of Hardware Gather/Scatter on Sparse {Gaussian} Elimination", journal=SISSC, volume="9", pages="304-311", year="1988"} @article{Li-Shan88a, author="Li-Shan, K. and Evans, D.", title="The Convergence Rate of the {Schwartz} Alternating Procedure ({V}) --- For More Than Two Subdomains", journal=IJCM, volume="23", pages="295-314", year="1988"} @inproceedings{Li85a, author="Li, G. and Wah, B.", title="Systolic Processing for Dynamic Programming Problems", booktitle="Proc. 1985 " # ICPP, pages="434-441", year="1985"} @article{Li85b, author="Li, G. and Wah, B.", title="The Design of Optimal Systolic Algorithms", journal=TOC, volume="C-34", pages="66-77", year="1985"} @techreport{Li87a, author="Li, G. and Coleman, T.", title="A New Method for Solving Triangular Systems on Distributed Memory Message-Passing Multiprocessors", institution=DCS # ", Cornell University", number="TR 87-812", year="1987"} @inproceedings{Li87b, author="Li, G. and Coleman, T.", title="A Parallel Triangular Solver for a Hypercube Multiprocessor", crossref="Heath87b", pages="539-551", year="1987"} @article{Li88a, author="Li, G. and Coleman, T.", title="A Parallel Triangular Solver for a Distributed-Memory Multiprocessor", journal=SISSC, volume="9", pages="485-502", year="1988"} @techreport{Lichnewsky82a, author="Lichnewsky, A.", title="Sur la R\'esolution de Syst\`ems Lin\'eaires Issus de la M\'ethode des El\'ements Finis Par une Machine Multiprocesseurs", institution="INRIA", number="119", year="1982"} @unpublished{Lichnewsky83a, author="Lichnewsky, A.", title="Some Vector and Parallel Implementations for Linear Systems Arising in {PDE} Problems", note="Presented at the SIAM Conference on Parallel Processing for Scientific Computing, Norfolk, VA, November", year="1983"} @inproceedings{Lichnewsky84a, author="Lichnewsky, A.", title="Some Vector and Parallel Implementations for Preconditioned Conjugate Gradient Algorithms", crossref="Kowalik84a", pages="343-359", year="1984"} @incollection{Liles84a, author="Liles, D. and Mahaffy, J. and Giguere, P.", title="An Approach to Fluid Mechanics Calculations on Serial and Parallel Computer Architectures", crossref="Parter84a", pages="141-160", year="1984"} @inproceedings{Lim87a, author="Lim, D. and Thanakij, R.", title="A Survey of {ADI} Implementations on Hypercubes", crossref="Heath87b", pages="674-679", year="1987"} @inproceedings{Lin85a, author="Lin, T.-C. and Moldoran, D.", title="Tradeoffs in Mapping Algorithms to Array Processors", booktitle="Proc. 1985 " # ICPP, pages="719-726", year="1985"} @inproceedings{Lin87a, author="Lin, A.", title="Parallel and Supercomputing of Elliptic Problems", crossref="Kartashev87a", pages="497-502", year="1987"} @article{Lincoln82a, author="Lincoln, N.", title="Technology and Design Tradeoffs in the Creation of a Modern Supercomputer", journal=TOC, volume="C-31", pages="349-362", year="1982"} @article{Lincoln83a, author="Lincoln, N.", title="Supercomputers = Colossal Computations + Enormous Expectations + Renowned Risk", journal="Computer", volume="16", number="5", pages="38-47", year="1983"} @article{Lint81a, author="Lint, B. and Agerwala, T.", title="Communication Issues in the Design and Analysis of Parallel Algorithms", journal=TSE, volume="SE-7", pages="174-188", year="1981"} @article{Lipitakis84a, author="Lipitakis, E.", title="Solving Elliptic Boundary Value Problems on Parallel Processors by Approximate Inverse Matrix Semi-Direct Methods Based on the Multiple Explicit {Jacobi} Iteration", journal="Comp. \& Math. Appl.", volume="10", pages="171-184", year="1984"} @article{Lipitakis87a, author="Lipitakis, E. and Evans, D.", title="Explicit Semi-Direct Methods Based on Approximate Inverse Matrix Techniques for Solving Boundary Value Problems on Parallel Processors", journal=MCS, volume="29", pages="1-18", year="1987"} @inproceedings{Lipovski77a, author="Lipovski, G. and Tripathi, A.", title="A Reconfigurable Varistructure Array Processor", booktitle="Proc. 1977 " # ICPP, pages="165-174", year="1977"} @article{Lipovski78a, author="Lipovski, G. and Doty, K.", title="Developments and Directions in Computer Architecture", journal="Computer", volume="11", number="8", pages="54-67", year="1978"} @book{Lipovski87a, author="Lipovski, J. and Malek, M.", title="Parallel Computing", booktitle="Parallel Computing", publisher="John Wiley and Sons", address="New York, NY", year="1987"} @article{Liu73a, author="Liu, C. and Layland, J.", title="Scheduling Algorithms for Multiprogramming in a Hard-Real-Time Environment", journal=JACM, volume="20", pages="46-61", year="1973"} @techreport{Liu78a, author="Liu, J.", title="The Solution of Mesh Equations on a Parallel Computer", institution=DCS # ", Waterloo University", number="CS-78-19", year="1978"} @article{Liu86a, author="Liu, J.", title="Computational Models and Task Scheduling for Parallel Sparse {Cholesky} Factorization", journal=PC, volume="3", pages="327-342", year="1986"} @techreport{Liu87a, author="Liu, J.", title="Reordering Sparse Matrices for Parallel Elimination", institution=DCS # ", York University", number="CS-87-01", address="Ontario, Canada", month=jan, year="1987"} @techreport{Liu87b, author="Liu, J. and Mirzaian, A.", title="A Linear Reordering Algorithm for Parallel Pivoting of Chordal Graphs", institution=DCS # ", York University", number="CS-87-02", address="Ontario, Canada", month=feb, year="1987"} @techreport{Livermore79a, author="{Lawrence Livermore National Laboratory}", title="The {S}--1 Project", institution=LLNL, number="UCID-18619", year="1979"} @techreport{Livesley85a, author="Livesley, R. and Modi, J. and Smithers, T.", title="The Use of Parallel Computation for Finite Element Calculations", institution="Cambridge University Engineering Department", number="CUED/F-CAMS/TR.248", address="Cambridge, UK", year="1985"} @techreport{Lo86a, author="Lo, S.-S. and Phillippe, B.", title="The Symmetric Eigenvalue Problem on a Multiprocessor", institution=CSRD # ", University of Illinois at Urbana-Champaign", number="590", month=apr, year="1986"} @article{Lo87a, author="Lo, S.-S. and Phillippe, B. and Sameh, A.", title="A Multiprocessor Algorithm for the Symmetric Tridiagonal Eigenvalue Problem", journal=SISSC, volume="8", pages="s155-s165", year="1987"} @incollection{Loendorf85a, author="Loendorf, D.", title="Development and Use of an Asynchronous {MIMD} Computer for Finite Element Analysis", crossref="Snyder85b", pages="213-222", year="1985"} @inproceedings{Logan84a, author="Logan, D. and Maples, C. and Weaver, D. and Rathbun, W.", title="Adapting Scientific Programs to the {MIDAS} Multiprocessor System", booktitle="Proc. 1984 " # ICPP, pages="15-24", year="1984"} @inproceedings{Lomax81a, author="Lomax, H.", title="Some Prospects for the Future of Computational Fluid Dynamics", booktitle="AIAA Comp. Fluid Dyn. Conference, June", year="1981"} @incollection{Lomax82a, author="Lomax, H. and Pulliam, T.", title="A Fully Implicit Factored Code for Computing Three Dimensional Flows on the {Illiac} {IV}", crossref="Rodrigue82a", pages="217-250", year="1982"} @article{Lootsma88a, author="Lootsma, F. and Ragsdell, K.", title="State-of-the-Art in Parallel Nonlinear Optimization", journal=PC, volume="6", pages="133-156", year="1988"} @inproceedings{Lord80a, author="Lord, R. and Kowalik, J. and Kumar, S.", title="Solving Linear Algebraic Equations on a {MIMD} Computer", booktitle="Proc. 1980 " # ICPP, pages="205-210", year="1980"} @article{Lord83a, author="Lord, R. and Kowalik, J. and Kumar, S.", title="Solving Linear Algebraic Equations on an {MIMD} Computer", journal=JACM, volume="30", pages="103-117", year="1983"} @book{Lorin72a, author="Lorin, H.", title="Parallelism in Hardware and Software", booktitle="Parallelism in Hardware and Software", publisher="Prentice-Hall, Inc.", address="Englewood Cliffs, NJ", year="1972"} @article{Louter-Nool87a, author="Louter-Nool, M.", title="Basic Linear Algebra Subprograms ({BLAS}) on the {CDC} {CYBER} 205", journal=PC, volume="4", pages="143-166", year="1987"} @inproceedings{Lubachevsky84a, author="Lubachevsky, B. and Mitra, D.", title="Chaotic Parallel Computations of Fixed Points of Nonnegative Matrices of Unit Spectral Radius", booktitle="Proc. 1984 " # ICPP, pages="109-116", year="1984"} @article{Lubachevsky86a, author="Lubachevsky, B. and Mitra, D.", title="A Chaotic Asynchronous Algorithm for Computing the Fixed Point of a Nonnegative Matrix of Unit Spectral Radius", journal=JACM, volume="33", pages="130-150", year="1986"} @article{Lubeck85a, author="Lubeck, O. and Moore, J. and Mendez, R.", title="A Benchmark Comparison of Three Supercomputers: {Fujitsu} {VP}-200, {Hitachi} {S810}/20 and {CRAY} {X}-{MP}/2", journal="Computer", volume="18", number="12", pages="10-24", year="1985"} @article{Lubeck86a, author="Lubeck, O. and Moore, J. and Mendez, R.", title="A Performance Evaluation of Three Supercomputers, {Fujitsu} {XP}-200, {Hitachi} {S810}/20, {CRAY} {X}-{MP}/24", journal=AMC, volume="20", pages="143-144", year="1986"} @techreport{Lubeck87a, author="Lubeck, O. and Faber, V.", title="Modeling the Performance of Hybercubes: {A} Case Study Using the Particle-In-Cell Application", institution=LANL, number="LA-UR-87-1522", year="1987"} @phdthesis{Lucas87a, author="Lucas, R.", title="Solving Planar Systems of Equations on Distributed-Memory Multiprocessors", school="Stanford University", address="Department of Electrical Engineering", year="1987"} @article{Luchene86a, author="van Luchene, R. and Lee, R. and Meyers, V.", title="Large Scale Finite Element Analysis on a Vector Processor", journal="Computers and Structures", volume="24", pages="625-635", year="1986"} @article{Lucier87a, author="Lucier, B. and Overbeek, R.", title="A Parallel Adaptive Numerical Scheme for Hyberbolic Systems of Conservation Laws", journal=SISSC, volume="8", pages="s203-s219", year="1987"} @article{Luk80a, author="Luk, F.", title="Computing the Singular Value Decomposition on the {Illiac} {IV}", journal=ACMTMS, volume="6", pages="524-539", year="1980"} @article{Luk85a, author="Luk, F.", title="A Parallel Method for Computing the Generalized Singular Value Decomposition", journal=JPDC, volume="2", pages="250-260", year="1985"} @techreport{Luk85b, author="Luk, F.", title="Algorithm-Based Fault Tolerance for Parallel Matrix Equation Solvers", institution=DECE # ", Cornell University", number="EE-CEG-85-2", note="To appear in Proc. SPIE, vol. 564; Real Time Signal Processing VIII", year="1985"} @article{Luk86a, author="Luk, F.", title="A Rotation Method for Computing the {QR}-Decomposition", journal=SISSC, volume="7", pages="452-459", year="1986"} @article{Luk86b, author="Luk, F.", title="A Triangular Processor Array for Computing Singular Values", journal=LAA, volume="77", pages="259-273", year="1986"} @techreport{Luk86c, author="Luk, F.", title="Architectures for Computing Eigenvalues and {SVDs}", institution=DECE # ", Cornell University", number="EE-CEG-86-1", note="To appear in Proc. SPIE vol. 614: Highly Parallel Signal Processing Architectures", month=feb, year="1986"} @techreport{Luk86d, author="Luk, F.", title="Fault-Tolerant Matrix Triangularization on Systolic Arrays", institution=DECE # ", Cornell University", number="EE-CEG-86-2", year="1986"} @techreport{Luk86e, author="Luk, F. and Park, H.", title="On Parallel {Jacobi} Orderings", institution=DECE # ", Cornell University", number="EE-CEG-86-5", year="1986"} @techreport{Luk86f, author="Luk, F. and Qiao, S.", title="Analysis of a Recursive Least Squares Signal Processing Algorithm", institution=DECE # ", Cornell University", number="EE-CEG-86-7", year="1986"} @article{Luk86g, author="Luk, F. and Qiao, S.", title="Computing the {C--S} Decomposition on Systolic Arrays", journal=SISSC, volume="7", pages="1121-1125", year="1986"} @techreport{Lundquist87a, author="Lundquist, M.", title="An Implementation of the Preconditioned Conjugate Gradient Algorithm on the {FPS} {T}-20 Hypercube", institution="Department of Mathematical Sciences, Clemson University", number="URI-044", month=dec, year="1987"} @inproceedings{Lundstrom80a, author="Lundstrom, S. and Barnes, G.", title="A Controllable {MIMD} Architecture", booktitle="Proc. 1980 " # ICPP, pages="19-27", year="1980"} @article{Lundstrom87a, author="Lundstrom, S.", title="Applications Considerations in the System Design of Highly Concurrent Multiprocessors", journal=TOC, volume="C-36", pages="1292-1309", year="1987"} @techreport{Lusk83a, author="Lusk, E. and Overbeek, R.", title="Implementation of Monitors with Macros: {A} Programming Aid for the {HEP} and Other Parallel Processors", institution=ANL, number="ANL-83-97", month=dec, year="1983"} @inproceedings{Lyzenga85a, author="Lyzenga, G. and Raefsky, A. and Hager, G.", title="Finite Elements and the Method of Conjugate Gradients on a Concurrent Processor", booktitle="Proc. ASME Int. Conf. Computers in Engineering", pages="401-406", year="1985"} @incollection{Lyzenga88a, author="Lyzenga, G. and Raefsky, A. and Hager, B.", title="Finite Elements and the Method of Conjugate Gradient on Concurrent Processors", booktitle="Solving Problems on Concurrent Processors, Volume II: Scientific and Engineering Applications", editor="Fox, G. and Lyzenga, G.", publisher="Prentice-Hall, Inc.", address="Englewood Cliffs, NJ", note="To be published", year="1988"} @incollection{MacCormack76a, author="MacCormack, R. and Stevens, K.", title="Fluid Dynamics Applications of the {ILLIAC} {IV} Computer", booktitle="Computational Methods and Problems in Aeronautical Fluid Dynamics", publisher="Academic Press", address="New York", pages="448-465", year="1976"} @inproceedings{Mace85a, author="Mace, M. and Wagner, R.", title="Globally Optimum Selection of Memory Storage Patterns", booktitle="Proc. 1985 " # ICPP, pages="264-271", year="1985"} @techreport{Madsen75a, author="Madsen, N. and Rodrigue, G.", title="Two Notes on Algorithm Design for the {CDC} {STAR}--100", institution=LLNL, type="Tech. Memo.", number="75-1", year="1975"} @techreport{Madsen76a, author="Madsen, N. and Rodrigue, G.", title="A Comparison of Direct Methods for Tridiagonal Systems on the {CDC} {STAR}-100", institution=LLNL, type="Preprint", number="UCRL-76993, Rev. 1", year="1976"} @article{Madsen76b, author="Madsen, N. and Rodrigue, G. and Karush, J.", title="Matrix Multiplication by Diagonals on a Vector/Parallel Processor", journal="Inf. Proc. Letts.", volume="5", pages="41-45", year="1976"} @inproceedings{Madsen77a, author="Madsen, N. and Rodrigue, G.", title="Odd-Even Reduction for Pentadiagonal Matrices", crossref="Feilmeier77a", pages="103-106", year="1977"} @article{Mago79a, author="Mago, G.", title="A Network of Microprocessors to Execute Reduction Languages", journal="Int. J. Comp. and Info. Sci.", volume="8", pages="349-385 and 435-471", year="1979"} @inproceedings{Mago80a, author="Mago, G.", title="A Cellular Computer Architecture for Functional Programming", booktitle="Proc. COMPCON Spring, IEEE Comp. Soc. Conf.", pages="179-187", year="1980"} @inproceedings{Mago82a, author="Mago, G. and Pargas, R.", title="Solving Partial Differential Equations on a Cellular Tree Machine", booktitle="Proc. 10th IMACS World Congress on Systems Simulation and Scientific Computation, vol. 1", publisher="IMACS", pages="368-373", year="1982"} @techreport{Malony86a, author="Malony, A.", title="Cedar Performance Measurements", institution=CSRD # ", University of Illinois at Urbana-Champaign", number="579", month=jun, year="1986"} @inproceedings{Mandell87a, author="Mandell, D.", title="Experiences and Results Multitasking a Hydrodynamics Code on Global and Local Memory Machines", booktitle="Proc. 1987 " # ICPP, pages="415-420", year="1987"} @techreport{Manhardt82a, author="Manhardt, P. and Lewis, R. and Bouldin, D. and Baker, A.", title="Array Processing of the 3-Dimensional {Navier}-{Stokes} Equations", institution="NSF SBIR", type="Phase {I} Final Reports", month=mar, year="1982"} @inproceedings{Maples83a, author="Maples, C. and Weaver, D. and Logan, D. and Rathbun, W.", title="Performance of a Modular Interactive Data Analysis System ({MIDAS})", booktitle="Proc. 1983 " # ICPP, pages="514-519", year="1983"} @inproceedings{Maples84a, author="Maples, C. and Weaver, D. and Rathbun, W. and Logan, D.", title="The Operation and Utilization of the {MIDAS} Multiprocessor Architecture", booktitle="Proc. 1984 " # ICPP, pages="197-206", year="1984"} @inproceedings{Maples85a, author="Maples, C.", title="Pyramids, Crossbars and Thousands of Processors", booktitle="Proc. 1985 " # ICPP, pages="681-688", year="1985"} @unpublished{Marinescu86a, author="Marinescu, D. and Lin, C.", title="Preliminary Results on Multiprocessor Modeling and Analysis Using Stochastic, High Level {Petri} Nets", note="Presented at the Twenty-Fourth Allerton Conference on Communication, Control and Computing", year="1986"} @article{Marinescu87a, author="Marinescu, D. and Rice, J.", title="Domain Oriented Analysis of {PDE} Splitting Algorithms", journal="J. Information Sciences", volume="43", pages="3-24", year="1987"} @techreport{Marinescu87b, author="Marinescu, D. and Rice, J.", title="Nonhomogeneous Parallel Computation {I}. {Synchronization} Analysis of Parallel Algorithms", institution=DCS # ", Purdue University", number="TR-683", year="1987"} @inproceedings{Marinescu87c, author="Marinescu, D. and Rice, J.", title="Synchronization of Nonhomogeneous Parallel Computations", booktitle="Proceedings of the SIAM Conference on Parallel Processing for Scientific Computing", month=dec, note="Also Computer Science Tech. Report CSD-TR-683, Purdue University, May, 1987", year="1987"} @techreport{Marinescu88a, author="Marinescu, D. and Rice, J.", title="On the Effects of Synchronization in Parallel Computing", institution=DCS # ", Purdue University", number="CS-TR-750", year="1988"} @incollection{Martin77a, author="Martin, H.", title="A Discourse on a New Supercomputer, {PEPE}", crossref="Kuck77b", pages="101-112", year="1977"} @incollection{Martin80a, author="Martin, A.", title="A Distributed Implementation Method for Parallel Programming", booktitle="Information Processing 80", editor="Lavington, S. H.", publisher="North-Holland", address="Amsterdam", pages="309-314", year="1980"} @article{Martin87a, author="Martin, J. and Mueller-Wichards, D.", title="Supercomputer Performance Evaluation: {Status} and Directions", journal="J. Supercomputing", volume="1", pages="87-104", year="1987"} @inproceedings{Martin87b, author="Martin, W. and Wan, T-C. and Poland, D. and Mudge, T. and Abdel-Rahman, T.", title="Monte {Carlo} Photon Transport on the {NCUBE}", crossref="Heath87b", pages="454-463", year="1987"} @book{Matsen86a, editor="Matsen, F. and Tajima, T.", title="Supercomputers: Algorithms, Architectures and Scientific Computation", booktitle="Supercomputers: Algorithms, Architectures and Scientific Computation", publisher="University of Texas Press", year="1986"} @incollection{McBryan85a, author="McBryan, O.", title="Computational Methods for Discontinuities in Fluids", booktitle="Lectures in Applied Mathematics", volume="22", publisher="American Mathematical Society", pages="63-79", year="1985"} @article{McBryan85b, author="McBryan, O. and van de Velde, E.", title="Parallel Algorithms for Elliptic Equations", journal="Comm. Pure. \& Appl. 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Comp. Phys.", volume="35", pages="147-168", year="1980"} @techreport{McFaddin87a, author="McFaddin, H. and Rice, J.", title="Parallel and Vector Problems on the {FLEX}/32", institution=DCS # ", Purdue University", number="CSD-TR-661", year="1987"} @incollection{McGlynn84a, author="McGlynn, D. and Scales, L.", title="On Making the {NAG} Run Faster", crossref="Paddon84a", pages="73-89", year="1984"} @techreport{McGraw84a, author="McGraw, J. and Axelrod, T.", title="Exploiting Multiprocessors: {Issues} and Options", institution=LLNL, number="UCRL-91734", month=oct, year="1984"} @inproceedings{McGregor83a, author="McGregor, J. and Salana, M.", title="Finite Element Computation with Parallel {VLSI}", booktitle="Proc. 8th ASCE Conf. Elec. Comp., University of Houston", pages="540-553", year="1983"} @book{Mead79a, author="Mead, C. and Conway, L.", title="Introduction to {VLSI} Systems", booktitle="Introduction to VLSI Systems", publisher="Addison-Wesley", address="Reading, PA", year="1979"} @inproceedings{Mehrotra82a, author="Mehrotra, P. and Pratt, T.", title="Language Concepts for Distributed Processing of Large Arrays", booktitle="Proc. of Symp. on Principles of Distributed Computing, Ottawa, Canada", pages="19-28", year="1982"} @inproceedings{Mehrotra85a, author="Mehrotra, R. and Gehringer, E.", title="Superlinear Speed-up Through Randomized Algorithms", booktitle="Proc. 1985 " # ICPP, pages="291-300", year="1985"} @article{Meier85a, author="Meier, U.", title="A Parallel Partition Method for Solving Banded Systems of Linear Equations", journal=PC, volume="2", pages="33-43", year="1985"} @article{Meier86a, author="Meier, U.", title="Two Parallel {SOR} Variants of the {Schwartz} Alternating Procedure", journal=PC, volume="3", pages="205-215", year="1986"} @inproceedings{Meier87a, author="Meier, U. and Sameh, A.", title="Numerical Linear Algebra on the {CEDAR} Multiprocessor", booktitle="Proc. SPIE, Vol. 826, Advanced Alg. and Arch. for Signal Processing", year="1987"} @techreport{Melhem83a, author="Melhem, R.", title="An Abstract Systolic Model and Its Application to the Design of Finite Element Systems", institution="Institute for Computational Mathematics and Applications, University of Pittsburgh", number="ICMA-83-66", year="1983"} @article{Melhem84a, author="Melhem, R. and Rheinboldt, W.", title="A Mathematical Model for the Verification of Systolic Networks", journal=SICOMP, volume="13", pages="341-365", year="1984"} @article{Melhem85a, author="Melhem, R.", title="Formal Analysis of a Systolic System for Finite Element Matrices", journal="J. Comput. System Sci.", volume="31", pages="1-27", year="1985"} @article{Melhem85b, author="Melhem, R.", title="On the Design of a Pipelined/Systolic Finite Element System", journal="Computers and Structures", volume="20", pages="67-76", year="1985"} @inproceedings{Melhem86a, author="Melhem, R.", title="Application of Data Driven Networks to Sparse Matrix Multiplication", booktitle="Proc. 1986 " # ICPP, pages="758-761", year="1986"} @article{Melhem86b, author="Melhem, R.", title="Toward Efficient Implementations of {PCCG} Methods on Vector Supercomputers", journal=IJSA, volume="1", pages="70-98", year="1986"} @article{Melhem87a, author="Melhem, R.", title="A Study of Data Interlock in Computational Networks for Sparse Matrix Multiplication.", journal=TOC, volume="36", pages="1101-1107", year="1987"} @inproceedings{Melhem87b, author="Melhem, R.", title="An Efficient Implementation of the {SSOR}/{PCCG} Method on Vector Computers", crossref="Kartashev87a", pages="470-477", year="1987"} @article{Melhem87c, author="Melhem, R.", title="Determination of Stripe Structures for Finite Element Matrices", journal=SINUM, volume="24", number="6", pages="1419-1433", month=dec, year="1987"} @inproceedings{Melhem87d, author="Melhem, R.", title="Iterative Solution of Sparse Linear Systems on Systolic Arrays", booktitle="Proc. 1987 " # ICPP, pages="560-563", year="1987"} @article{Melhem87e, author="Melhem, R.", title="Parallel {Gauss}-{Jordan} Elimination for the Solution of Dense Linear Systems", journal=PC, volume="4", pages="339-344", year="1987"} @article{Melhem88a, author="Melhem, R.", title="A Modified Frontal Technique Suitable for Parallel Systems", journal=SISSC, volume="9", pages="289-304", year="1988"} @techreport{Melhem88b, author="Melhem, R.", title="Iterative Solutions of Sparse Linear Systems on Systolic Arrays", institution="University of Pittsburgh", number="ICMA-87-105", year="1988"} @article{Melhem88c, author="Melhem, R.", title="Parallel Solution of Linear Systems with Striped Sparse Matrices", journal=PC, volume="6", pages="145-184", year="1988"} @article{Melhem88d, author="Melhem, R. and Ramaro, K.", title="Multicolor Reordering of Sparse Matrices Resulting from Irregular Grids", journal=ACMTMS, volume="14", pages="117-138", year="1988"} @article{Melkemi87a, author="Melkemi, L. and Tchuente, M.", title="Complexity of Matrix Product on a Class of Orthogonally Connected Systolic Arrays", journal=TOC, volume="C-36", pages="615-619", year="1987"} @techreport{Melson83a, author="Melson, D. and Keller, J.", title="Experiences in Using the {CYBER} 203 and {CYBER} 205 for Three-Dimensional Transonic Flow Calculations", institution="AIAA", type="Paper", number="83-0500", note="AIAA 21st Aerospace Sciences Meeting, January. 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McCormick, ed.)", pages="217-238", month=jul, year="1986"} @article{Mendez84a, author="Mendez, R.", title="Benchmark on {Japanese}-{American} Supercomputers --- {Preliminary} Results", journal=TOC, volume="C-35", pages="374", note="An expanded version appeared in the SIAM News 17, No. 2, March, 1984, p. 3", year="1984"} @article{Merriam85a, author="Merriam, M.", title="On the Factorization of Block-Tridiagonals Without Storage Constraints", journal=SISSC, volume="6", pages="182-192", year="1985"} @article{Merriam86a, author="Merriam, M.", title="Application of Data Flow Concepts to a Multigrid Solver for the {Euler} Equations", journal=AMC, volume="19", number="1-4", note="(Special Issue, Proceedings of the Second Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, S. McCormick, ed.)", pages="239-264", month=jul, year="1986"} @article{Meurant84a, author="Meurant, G.", title="The Block Preconditioned Conjugate Gradient Method on Vector Computers", journal="BIT", volume="24", pages="623-633", year="1984"} @article{Meurant87a, author="Meurant, G.", title="Multitasking the Conjugate Gradient Method on the {CRAY} {X}-{MP}/48", journal=PC, volume="5", pages="267-280", year="1987"} @inproceedings{Meurant88a, author="Meurant, G.", title="Domain Decomposition Versus Block Preconditioning", crossref="Glowinski88a", pages="231-249", year="1988"} @incollection{Meyer77a, author="Meyer, G.", title="Effectiveness of Multiprocessor Networks for Solving the Nonlinear {Poisson} Equation", crossref="Kuck77b", pages="323-326", year="1977"} @article{Meyer86a, author="Meyer, R.", title="Numerical Algorithms on the {Crystal} Multicomputer", journal=CANM, volume="2", pages="251-254", year="1986"} @article{Meyer87a, author="Meyer, G. and Podrazik, L.", title="A Parallel First-Order Linear Recurrence Solver", journal=JPDC, volume="4", pages="117-132", year="1987"} @inproceedings{Meyer87b, author="Meyer, G. and Podrazik, L.", title="Parallel Implementations of Gradient Based Iterative Algorithms for a Class of Discrete Optimal Control Problems", booktitle="Proc. 1987 " # 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Int. Conf. Supercomputing '87", publisher="Springer-Verlag", year="1988"} @article{Mitra87a, author="Mitra, D.", title="Asynchronous Relaxations for the Numerical Solution of Differential Equations by Parallel Processors", journal=SISSC, volume="8", pages="s43-s58", year="1987"} @techreport{Miura71a, author="Miura, K.", title="The Block Iterative Method for {Illiac} {IV}", institution=CAC # ", University of Illinois at Urbana-Champaign", type="Doc.", number="41", year="1971"} @inproceedings{Miura84a, author="Miura, K. and Uchida, K.", title="{FACOM} Vector Processor {VP}-100/{VP}--200", crossref="Kowalik84a", pages="127-138", year="1984"} @phdthesis{Modi82a, author="Modi, J.", title="Jacobi Methods for Eigenvalue and Related Problems in a Parallel Computing Environment", school="University of London", year="1982"} @article{Modi82b, author="Modi, J. and Parkinson, D.", title="Study of {Jacobi} Methods for Eigenvalues and Singular Value Decomposition on {DAP}", journal=CPC, volume="26", pages="317-320", year="1982"} @techreport{Modi84a, author="Modi, J. and Bowgen, G.", title="Implementation of {QR} Factorization on the {DAP} Using {Householder} Transformations", institution="Cambridge University Engineering Department", number="CUED/F-CAMS/TR.241", address="Cambridge, UK", year="1984"} @incollection{Modi84b, author="Modi, J. and Bowgen, G.", title="{QR} Factorization and Singular Value Decomposition on the {DAP}", crossref="Paddon84a", pages="209-228", year="1984"} @article{Modi84c, author="Modi, J. and Clarke, M.", title="An Alternative {Givens} Ordering", journal="Numer. Math.", volume="43", pages="83-90", year="1984"} @inproceedings{Modi84d, author="Modi, J. and Davies, R. and Parkinson, D.", title="Extension of the Parallel {Jacobi} Method to the Generalized Eigenvalue Problem", crossref="Feilmeier84a", pages="191-197", year="1984"} @techreport{Modi84e, author="Modi, J. and Pryce, I.", title="Mobile {Jacobi} Schemes for Parallel Computation", institution="Cambridge University Engineering Department", number="CUED/F-CAMS/TR.242", address="Cambridge, UK", year="1984"} @article{Modi85a, author="Modi, J. and Pryce, I.", title="Efficient Implementation of {Jacobi's} Method on the {DAP}", journal="Numer. Math.", volume="46", pages="443-454", year="1985"} @book{Modi88a, author="Modi, J.", title="Parallel Algorithms and Matrix Computation", publisher="Oxford University Press", address="Oxford", year="1988"} @techreport{Modiano87a, author="Modiano, D.", title="Performance of a Common {CFD} Loop on Two Parallel Architectures", institution=MIT, number="CFDL-TR-87-11", year="1987"} @techreport{Mohan84a, author="Mohan, J.", title="Performance of Parallel Programs: {Model} and Analyses", institution=DCS # ", " # CMU, number="CMU-CS-84-141", address="Pittsburgh, PA", year="1984"} @incollection{Molchanov85a, author="Molchanov, I.", title="Applications Software of the {ES} Multiprocessor Computing Complex", booktitle="Computational Processes and Systems", publisher="Izdatel'stvo Nauka", address="Moscow", pages="99-108", year="1985"} @inproceedings{Moldovan84a, author="Moldovan, D. and Wu, C. and Fortes, J.", title="Mapping an Arbitrarily Large {QR} Algorithm into a Fixed Size {VLSI} Array", booktitle="Proc. 1984 " # ICPP, pages="365-373", year="1984"} @inproceedings{Moler86a, author="Moler, C.", title="Matrix Computation on Distributed Memory Multiprocessors", crossref="Heath86a", pages="181-195", year="1986"} @article{Montoye82a, author="Montoye, R. and Lawrie, D.", title="A Practical Algorithm for the Solution of Triangular Systems on a Parallel Processing System", journal=TOC, volume="C-31", pages="1076-1082", year="1982"} @article{Mooney86a, author="Mooney, J.", title="Simulation of a Reaction-Diffusion System on Large Dimpled Surfaces using a Vector Computer", journal=MCS, volume="28", pages="209-226", year="1986"} @article{Moore84a, author="Moore, M. and Hiromoto, R. and Lubeck, O.", title="Experiences with the {Denelcor} {HEP}", journal=PC, volume="1", pages="197-206", year="1984"} @inproceedings{Moore84b, author="Moore, W. and Steiglitz, K.", title="Efficiency of Parallel Processing in the Solution of {Laplace's} Equation", crossref="Vichnevetsky84a", pages="252-257", year="1984"} @inproceedings{Morf81a, author="Morf, J.-M. and Delosme, J.-M.", title="Matrix Decompositions and Inversions via Elementary Signature-Orthogonal Transformations", booktitle="ISSM Int. Symp. Mini \& Microcomputers in Control and Measurements, San Francisco", year="1981"} @inproceedings{Morgan87a, author="Morgan, A. and Watson, L.", title="Solving Polynomial Systems of Equations on a Hypercube", crossref="Heath87b", pages="501-511", year="1987"} @article{Moriarty84a, author="Moriarty, K. and Haraguchi, M. and Pangali, C.", title="Efficient Implementation of the {SU}(3) Lattice Gauge Theory Algorithm on the {Fujitsu} {VP200} Vector Processor", journal=CPC, volume="34", pages="1-8", year="1984"} @article{Moriarty85a, author="Moriarty, K. and Kuba, D.", title="Efficient Multi-tasking of the {SU}(3) Lattice Gauge Theory Algorithm on the {CRAY}--{X}--{MP}", journal=CPC, volume="36", pages="351-362", year="1985"} @misc{Morice72a, author="Morice, P.", title="Calcul Parall\`ele et D\'ecomposition dans la Resolution d'Equations aux Deriv\'ees Partialles de Type Elliptique", note="IRIA, Rocquencourt, France", year="1972"} @article{Morison88a, author="Morison, R. and Otto, S.", title="The Scattered Decomposition for Finite Elements", journal="J. Sci. Comput.", volume="2", pages="59-76", year="1988"} @incollection{Morjaria84a, author="Morjaria, M. and Makinson, G.", title="Unstructured Sparse Matrix Vector Multiplication on the {DAP}", crossref="Paddon84a", pages="157-166", year="1984"} @book{Moto-oka82a, editor="Moto-oka, T.", title="Fifth Generation Computer Systems", booktitle="Fifth Generation Computer Systems", publisher="North-Holland", address="New York", year="1982"} @inproceedings{Moto-oka84a, author="Moto-oka, T.", title="Japanese Project on Fifth Generation Computer Systems", crossref="Kowalik84a", pages="99-116", year="1984"} @inproceedings{Muhlenbein85a, author="Muhlenbein, H. and Warhant, S.", title="Concurrent Multigrid Methods in an Object-Oriented Environment", booktitle="Proc. 1985 " # ICPP, pages="143-146", year="1985"} @article{Mukai81a, author="Mukai, H.", title="Parallel Algorithms for Solving Systems of Nonlinear Equations", journal="Comp. Math. Appl.", volume="7", pages="235-250", year="1981"} @techreport{Muller-Wichands82a, author="Muller-Wichands, D. and Gentzsch, W.", title="Performance Comparisons Among Several Parallel and Vector Computers on a Set of Fluid Flow Problems", institution="DFVLR", number="IB 262-82 RO1", address="Goettingen", year="1982"} @incollection{Muller85a, author="{M\"uller}, H. and {Sch\"onauer}, W. and Schnepf, E.", title="Design Considerations for the Linear Solver {LINSOL} on a {CYBER} 205", booktitle="Supercomputer Applications", editor="Emmen, A.", publisher="North-Holland", address="Amsterdam", pages="39-49", year="1985"} @misc{Muller85b, author="{M\"uller}, H. and {Sch\"onauer}, W. and Schnepf, E.", title="Vergleich verschiedener {L\"osungsverfahren} {f\"ur} lineare {Gleichungen} mit {Diagonalenspeicherung} auf der {CYBER} 205", note="Mitteilungen Nr. 3, Gesellschaft {f\"ur} Informatik, Parallel-algorithmen und -Rechnerstrukturen (PARS)", pages="65-74", year="1985"} @article{Myers86a, author="Myers, W.", title="Getting the Cycles out of a Supercomputer", journal="Computer", volume="19", number="3", pages="89-92", year="1986"} @inproceedings{Nagel79a, author="Nagel, K.", title="Weather Simulation with the Multi-Microprocessor System {SMS} 701", booktitle="Military Electronics Defense EXPO 78, Proceedings of the Conference, Wiesbaden, West Germany, Oct. 3-5, Interario, S.A. Geneva", pages="60-67", year="1979"} @inproceedings{Naik87a, author="Naik, V. and Patrick, M.", title="Analysis of Communication Requirements of Sparse {Cholesky} Factorization with Nested Dissection Ordering", booktitle="Proc. of the Third SIAM Conference of Parallel Processing for Scientific Computing, Los Angeles", year="1987"} @techreport{Naik87b, author="Naik, V. and Ta'asan, S.", title="Implementation of Multigrid Methods for Solving {Navier}-{Stokes} Equations on a Multiprocessor System", institution="ICASE, " # NLRC, number="87-37", address="Hampton, VA", year="1987"} @inproceedings{Naik87c, author="Naik, V. and Ta'asan, S.", title="Performance Studies of the Multigrid Algorithms Implemented on Hypercube Multiprocessor Systems", crossref="Heath87b", pages="720-729", year="1987"} @techreport{Naik88a, author="Naik, V. and Patrick, M.", title="Data Traffic Reduction Schemes for Sparse {Cholesky} Factorizations", institution="ICASE, " # NLRC, number="88-14", address="Hampton, VA", year="1988"} @inproceedings{Nakajima84a, author="Nakajima, K.", title="A Graph Theoretical Approach to Parallel Triangulation of a Sparse Asymmetric Matrix", booktitle="Proceedings of 1984 Conf. on Information Science and Systems", year="1984"} @techreport{Nandakumar86a, author="Nandakumar, N.", title="Polynomial Preconditioning of Symmetric Indefinite Systems", institution=CSRD # ", University of Illinois at Urbana-Champaign", number="580", month=jun, year="1986"} @article{Nash88a, author="Nash, J. and Hansen, S.", title="Modified {Fadeeva} Algorithm for Concurrent Execution of Linear Algebraic Operations", journal=TOC, volume="37", pages="129-137", year="1988"} @inproceedings{Navarro86a, author="Navarro, J. and Llaberia, J. and Valero, M.", title="Solving Matrix Problems with No Size Restriction on a Systolic Array Processor", booktitle="Proc. 1986 " # ICPP, pages="676-683", year="1986"} @article{Navarro87a, author="Navarro, J. and Llaberia, J. and Valero, M.", title="Partitioning: {An} Essential Step in Mapping Algorithms", journal="Computer", volume="20", number="7", pages="77-89", year="1987"} @techreport{Navon87a, author="Navon, I. and Phua, P. and Ramamurthy, M.", title="Vectorization of Conjugate-Gradient Methods for Large-Scale Minimization", institution="Supercomputer Computations Research Institute, Florida State University", number="FSU-SCRI-87-43", address="Tallahassee, FL", month=aug, year="1987"} @article{Neta85a, author="Neta, B. and Tai, H-M.", title="{LU} Factorization on Parallel Computers", journal="Comput. 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ADINA Conf. 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LASL Workshop on Vector and Parallel Processors", year="1978"} @incollection{Orszag81a, author="Orszag, S. and Patera, A.", title="Subcritical Transition to Turbulence in Planar Shear Flows", booktitle="Transition and Turbulence", editor="Meyer, R.", publisher="Academic Press", address="New York", pages="127-146", year="1981"} @article{Orszag81b, author="Orszag, S. and Patera, A.", title="Calculation of {Von Karman's} Constant for Turbulent Channel Flow", journal="Phys. Rev. Lett.", volume="47", pages="832-835", year="1981"} @article{Orszag83a, author="Orszag, S. and Patera, A.", title="Secondary Instability of Wall Bounded Shear Flows", journal="J. 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", Yale University", number="YALEU/DCS/RR-276", year="1983"} @article{Saad85a, author="Saad, Y.", title="Practical Use of Polynomial Preconditionings for the Conjugate Gradient Method", journal=SISSC, volume="6", pages="865-882", year="1985"} @article{Saad85b, author="Saad, Y. and Sameh, A. and Saylor, P.", title="Solving Elliptic Difference Equations on a Linear Array of Processors", journal=SISSC, volume="6", pages="1049-1063", year="1985"} @techreport{Saad85c, author="Saad, Y. and Schultz, M.", title="Alternating {Direction} Methods on Multiprocessors: {An} Extended Abstract", institution=DCS # ", Yale University", number="YALEU/DCS/RR-381", month=apr, year="1985"} @techreport{Saad85d, author="Saad, Y. and Schultz, M.", title="Topological Properties of Hypercubes", institution=DCS # ", Yale University", number="YALEU/DCS/RR-389", month=jun, year="1985"} @techreport{Saad85e, author="Saad, Y. and Schultz, M.", title="Data Communication in Hypercubes", institution=DCS # ", Yale University", number="YALEU/DCS/RR-428", month=oct, year="1985"} @article{Saad86a, author="Saad, Y.", title="Communication Complexity of the {Gaussian} Elimination Algorithm on Multiprocessors", journal=LAA, volume="77", pages="315-340", year="1986"} @incollection{Saad86b, author="Saad, Y.", title="Gaussian Elimination on Hypercubes", crossref="Cosnard86c", year="1986"} @incollection{Saad86c, author="Saad, Y. and Schultz, M.", title="Parallel Implementations of Preconditioned Conjugate Gradient Methods", editor="Fitzgibbon, W.", booktitle="Mathematical and Computational Methods in Seismic Exploration and Reservoir Modeling", year="1986"} @techreport{Saad86d, author="Saad, Y. and Schultz, M.", title="Data Communications in Parallel Architectures", institution=DCS # ", Yale University", number="YALEU/DCS/RR-461", month=mar, year="1986"} @inproceedings{Saad87a, author="Saad, Y.", title="On the Design of Parallel Numerical Methods in Message Passing and Shared Memory Environments", booktitle="Proceedings of International Seminar on Scientific Supercomputers, Paris, France", month=feb # " 2-6", year="1987"} @article{Saad87b, author="Saad, Y. and Schultz, M.", title="Parallel Direct Methods for Solving Banded Linear Systems", journal=LAA, volume="88", pages="623-650", year="1987"} @article{Sadayappan87a, author="Sadayappan, P. and Ercal, F.", title="Nearest-Neighbor Mapping of Finite Element Graphs onto Processor Meshes", journal=TOC, volume="C-36", pages="1408-1424", year="1987"} @inproceedings{Sadayappan87b, author="Sadayappan, P. and Ercal, F. and Martin, S.", title="Mapping Finite Element Graphs onto Processor Meshes", booktitle="Proc. 1987 " # ICPP, pages="192-195", year="1987"} @inproceedings{Saied87a, author="Saied, F. and Ho, C-T. and Johnsson, L. and Schultz, M.", title="Solving {Schr\"{o}dinger's} Equation on the {Intel} {iPSC} by the {Alternating} {Direction} Method", crossref="Heath87b", pages="680-691", year="1987"} @inproceedings{Salama83a, author="Salama, M. and Utku, S. and Melosh, R.", title="Parallel Solution of Finite Element Equations", booktitle="Proceedings of the 8th Conference on Electronic Computation", publisher="ASCE", pages="526-539", year="1983"} @techreport{Saltz86a, author="Saltz, J. and Nicol, D.", title="Statistical Methodologies for the Control of Dynamic Remapping", type="ICASE Report", number="86-46", institution=NLRC, address="Hampton, VA", month=jul, year="1986"} @techreport{Saltz87a, author="Saltz, J.", title="Analysis of Parameterized Methods for Problem Partitioning", institution=DCS # ", Yale University", number="YALEU/DCS/RR-537", month=may, year="1987"} @techreport{Saltz87b, author="Saltz, J.", title="Automated Problem Scheduling and Reduction of Synchronization Delay Effects", institution="ICASE, " # NLRC, number="87-22", address="Hampton, VA", year="1987"} @inproceedings{Saltz87c, author="Saltz, J. and Chen, M.", title="Automated Problem Mapping: {The} {Crystal} Run-Time System", crossref="Heath87b", pages="130-140", year="1987"} @article{Saltz87d, author="Saltz, J. and Naik, V. and Nicol, D.", title="Reduction of the Effects of the Communication Delays in Scientific Algorithms on Message Passing {MIMD} Architectures", journal=SISSC, volume="8", pages="s118-s138", year="1987"} @article{Saltz88a, author="Saltz, J. and Naik, V.", title="Towards Developing Robust Algorithms for Solving Partial Differential Equations on {MIMD} Machines", journal=PC, volume="6", pages="19-44", year="1988"} @inproceedings{Sameh71a, author="Sameh, A.", title="Illiac {IV} Applications", booktitle="Proc. 9th Annual Allerton Conf. Circuit System Theory", pages="1030-1038", year="1971"} @article{Sameh71b, author="Sameh, A.", title="On {Jacobi} and {Jacobi}-like Algorithms for a Parallel Computer", journal=MC, volume="25", pages="579-590", year="1971"} @article{Sameh76a, author="Sameh, A. and Chen, S. and Kuck, D.", title="Parallel {Poisson} and Biharmonic Solvers", journal="Computing", volume="17", pages="219-230", year="1976"} @incollection{Sameh77a, author="Sameh, A.", title="Numerical Parallel Algorithms --- {A} Survey", crossref="Kuck77b", pages="207-228", year="1977"} @article{Sameh77b, author="Sameh, A. and Brent, R.", title="Solving Triangular Systems on a Parallel Computer", journal=SINUM, volume="14", pages="1101-1113", year="1977"} @article{Sameh77c, author="Sameh, A. and Kuck, D.", title="A Parallel {QR} Algorithm for Symmetric Tridiagonal Matrices", journal=TOC, volume="C-26", pages="147-153", year="1977"} @inproceedings{Sameh77d, author="Sameh, A. and Kuck, D.", title="Parallel Direct Linear System Solvers --- {A} Survey", crossref="Feilmeier77a", pages="25-30", year="1977"} @article{Sameh78a, author="Sameh, A. and Kuck, D.", title="On Stable Parallel Linear System Solvers", journal=JACM, volume="25", pages="81-91", year="1978"} @unpublished{Sameh81a, author="Sameh, A.", title="Parallel Algorithms in Numerical Linear Algebra", note="Presented at the CREST Conference", year="1981"} @unpublished{Sameh82a, author="Sameh, A. and Taft, C.", title="Preconditioning Strategies for the Conjugate Gradient Algorithm on Multiprocessors", note="Presented at the 1982 Sparse Matrix Symposium", year="1982"} @article{Sameh83a, author="Sameh, A.", title="An Overview of Parallel Algorithms in Numerical Linear Algebra", journal="E.D.F. Bulletin de la Direction des Etudes et des Recherches", volume="C", number="1", pages="129-134", year="1983"} @incollection{Sameh84a, author="Sameh, A.", title="A Fast {Poisson} Solver for Multiprocessors", crossref="Birkhoff84a", pages="175-186", year="1984"} @inproceedings{Sameh84b, author="Sameh, A.", title="On Two Numerical Algorithms for Multiprocessors", crossref="Kowalik84a", pages="311-328", year="1984"} @incollection{Sameh85a, author="Sameh, A.", title="Solving the Linear Least Squares Problem on a Linear Array of Processors", crossref="Snyder85b", pages="191-200", year="1985"} @article{Sameh85b, author="Sameh, A.", title="On Some Parallel Algorithms on a Ring of Processors", journal="Comm. Phys. Comm.", volume="37", pages="159-166", year="1985"} @article{Sanguinetti86a, author="Sanguinetti, J.", title="Performance of a Message Based Multiprocessor", journal="Computer", volume="19", number="9", pages="47-55", year="1986"} @article{Sarigul85a, author="Sarigul, N. and Jin, M. and Kolar, R. and Kamel, H.", title="Design of Array Processor Software for Nonlinear Structural Analysis", journal="Computers and Structures", volume="20", pages="963-974", year="1985"} @article{Saunders82a, author="Saunders, V. and Guest, M.", title="Applications of the {Cray}--1 for Quantum Chemistry Calculations", journal=CPC, volume="26", pages="389-395", year="1982"} @article{Savage84a, author="Savage, J.", title="Space-time Tradeoffs for Banded Matrix Problems", journal=JACM, volume="31", pages="422-437", year="1984"} @article{Sawchuk84a, author="Sawchuk, A. and Strand, T.", title="Digital Optical Computing", journal="Proc. IEEE", volume="72", pages="758-779", year="1984"} @techreport{Saylor87a, author="Saylor, P.", title="Leapfrog Variants of Iterative Methods for Linear Algebraic Equations", institution=DCS # ", University of Illinois at Urbana-Champaign", number="R-87-1373", year="1987"} @techreport{Schaefer87a, author="Schaefer, M.", title="A Polynomial Based Iterative Method for Linear Parabolic Equations", institution=CSRD # ", University of Illinois at Urbana-Champaign", number="661", month=may, year="1987"} @techreport{Schendel84a, author="Schendel, U. and Schyska, M.", title="Parallelle Algorithmen in der Nichtlinearen Optimierung", type="Preprint", number="161/84", institution="Fachbereich Mathematik, Freie {Universit\"at} Berlin", year="1984"} @book{Schendel84b, author="Schendel, U.", title="Introduction to Numerical Methods for Parallel Computers", publisher="John Wiley and Sons", address="New York", note="(Translator, B. W. Conolly)", year="1984"} @techreport{Schimmel85a, author="Schimmel, D. and Luk, F.", title="A New Systolic Array for the Singular Value Decomposition", institution=DECE # ", Cornell University", number="EE-CEG-85-7", month=dec, year="1985"} @incollection{Schnabel85a, author="Schnabel, R.", title="Parallel Computing in Optimization", booktitle="Computational Mathematical Programming", editor="Schittkowski, K.", publisher="Springer-Verlag", address="Berlin", pages="357-382", year="1985"} @article{Schnabel87a, author="Schnabel, R.", title="Concurrent Function Evaluations in Local and Global Optimization", journal=CMAME, volume="64", pages="537-552", year="1987"} @inproceedings{Schnepf83a, author="Schnepf, E. and {Sch\"onauer}, W.", title="Parallelization of {PDE} Software for Vector Computers", crossref="Feilmeier84a", year="1983"} @article{Schnepf85a, author="Schnepf, E. and {Sch\"onauer}, W. and {M\"uller}, H.", title="Applications of the {PDE} Solver {FIDISOL} on Different Vector Computers", journal="Supercomputer", volume="10", pages="21-28", year="1985"} @incollection{Schnepf85b, author="Schnepf, E. and {Sch\"onauer}, W. and {M\"uller}, H.", title="Performance of the {PDE} Black Box Solver {FIDISOL} on a {CYBER} 205", editor="Emmen, H.", booktitle="Supercomputer Applications", publisher="North-Holland", address="Amsterdam", pages="51-59", year="1985"} @inproceedings{Schonauer82a, author="{Sch\"onauer}, W. and Raith, K.", title="A Polyalgorithm with Diagonal Storing for the Solution of Very Large Indefinite Linear Banded Systems on a Vector Computer", booktitle="Proc. 10th IMACS World Congress on Systems Simulation and Scientific Computation", volume="1", publisher="IMACS", pages="326-328", year="1982"} @inproceedings{Schonauer83a, author="{Sch\"onauer}, W.", title="The Efficient Solution of Large Linear Systems Resulting from the {FDM} for 3-{D} {PDE}'s on Vector Computers", booktitle="Proc. First Intern. Coll. on Vector and Parallel Computing in Scientific Applications", editor="Bassanut, A.", note="E.D.F. Bulletin de la Direction des Etudes et des Recherches, Ser. C., no. 1", pages="135-142", year="1983"} @article{Schonauer83b, author="{Sch\"onauer}, W.", title="Numerical Experiments with Instationary {Jacobi-OR} Methods for the Iterative Solution of Linear Equations", journal="ZAMM", volume="63", pages="T380-T382", year="1983"} @inproceedings{Schonauer83c, author="{Sch\"onauer}, W. and Schnepf, E. and Raith, K.", title="The Redesign and Vectorization of the {SLDGL}-Program Package for the Self-Adaptive Solution of Nonlinear Systems of Elliptic and Parabolic {PDE}'s", booktitle="Conference of the IFIP Working Group 2.5 on Numerical Software", address="Sweden", year="1983"} @inproceedings{Schonauer84a, author="{Sch\"onauer}, W. and Schnepf, E. and {M\"uller}, H.", title="{PDE} Software for Vector Computers", crossref="Vichnevetsky84a", pages="258-267", year="1984"} @article{Schonauer84b, author="{Sch\"onauer}, W. and Schnepf, E. and Raith, K.", title="Modularization of {PDE} Software for Vector Computers", journal="ZAMM", volume="64", pages="T309-T312", year="1984"} @article{Schonauer85a, author="{Sch\"onauer}, W. and Schnepf, E. and {M\"uller}, H.", title="Designing {PDE} Software for Vector Computers as a Data Flow Algorithm", journal="Comp. Phy. Comm.", volume="37", pages="233-237", year="1985"} @incollection{Schonauer86a, author="{Sch\"onauer}, W. and Schnepf, E.", title="Introduction to the Workshop: {Some} Bottlenecks and Deficiencies of Existing Vector Computers and Their Consequences for the Development of General {PDE} Software", editor="{Sch\"onauer}, W. and Gentzsch, W.", booktitle="The Efficient Use of Vector Computers with Emphasis to Computational Fluid Dynamics", publisher="Vieweg, Braunschweig", pages="1-34", year="1986"} @book{Schonauer86b, editor="{Sch\"onauer}, W. and Gentzsch, W.", title="The Efficient Use of Vector Computers with Emphasis on Computational Fluid Dynamics", booktitle="The Efficient Use of Vector Computers with Emphasis on Computational Fluid Dynamics", series="Notes on Numerical Fluid Mechanics", volume="12", publisher="John Wiley and Sons", address="New York, NY", year="1986"} @incollection{Schonauer86c, author="{Sch\"onauer}, W. and {M\"uller}, H. and Schnepf, E.", title="Pseudo-Residual Type Methods for the Iterative Solution of Large Linear Systems on Vector Computers", editor="Feilmeier, M. and Joubert, J. and Schendel, U.", booktitle="Parallel Computing 85", publisher="North-Holland", address="Amsterdam", pages="193-198", year="1986"} @book{Schonauer87a, editor="{Sch\"onauer}, W.", title="Scientific Computing on Vector Computers", booktitle="Scientific Computing on Vector Computers", publisher="North-Holland", year="1987"} @article{Schonauer87b, author="{Sch\"onauer}, W. and Schnepf, E.", title="Software Considerations for the ``Black Box'' Solver {FIDISOL} for Partial Diferential Equations", journal=ACMTMS, volume="13", pages="333-349", year="1987"} @unpublished{Schonauer87c, author="{Sch\"onauer}, W. and Wietschorke, H.", title="The Questions of Accuracy, Geometrical Flexibility and Vectorability for the {FDM}", note="Submitted to 1987 Meeting of ASME", year="1987"} @article{Schonauer88a, author="{Sch\"onauer}, W. and Schnepf, E.", title="{FIDISOL}: {A} Black Box Solver for Partial Differential Equations", journal=PC, volume="6", pages="185-194", year="1988"} @inproceedings{Schreiber82a, author="Schreiber, R.", title="Systolic Arrays for Eigenvalue Computation", booktitle="Proc. SPIE Symp. East 1982, 341, Real Time Signal Processing V", year="1982"} @inproceedings{Schreiber82b, author="Schreiber, R. and Kuekes, P.", title="Systolic Linear Algebra Machines in Digital Signal Processing", booktitle="Proc. USC Workshop on VLSI and Modern Signal Processing, Los Angeles", publisher="Prentice-Hall, Inc.", address="Englewood Cliffs, NJ", year="1982"} @inproceedings{Schreiber82c, author="Schreiber, R. and Tang, W.", title="Vectorizing the Conjugate Gradient Method", crossref="Control82a", year="1982"} @techreport{Schreiber83a, author="Schreiber, R.", title="On the Systolic Arrays of {Brent}, {Luk} and {Van Loan} for the Symmetric Eigenvalue and Singular Value Problems", institution="Department of Numerical Analysis and Computer Science, Royal Institute of Technology", number="TRITA-NA-8311", year="1983"} @inproceedings{Schreiber83b, author="Schreiber, R.", title="A Systolic Architecture for Singular Value Decomposition", booktitle="Proc. First Intern. College Vector and Parallel Computing in Scientific Appl., Paris", month=mar, year="1983"} @inproceedings{Schreiber83c, author="Schreiber, R.", title="Computing Generalized Inverses and Eigenvalues of Symmetric Matrices using Systolic Arrays", booktitle="Proceedings of the Sixth International Conference on Computer Methods in Science and Engineering", year="1983"} @incollection{Schreiber84a, author="Schreiber, R.", title="Systolic Arrays: {High} Performance Parallel Machines for Matrix Computation", crossref="Birkhoff84a", pages="187-194", year="1984"} @article{Schreiber86a, author="Schreiber, R.", title="On Systolic Array Methods for Band Matrix Factorizations", journal="BIT", volume="26", pages="303-316", year="1986"} @article{Schreiber86b, author="Schreiber, R.", title="Solving Eigenvalue and Singular Value Problems on an Undersized Systolic Array", journal=SISSC, volume="7", pages="441-451", year="1986"} @techreport{Schreiber87a, author="Schreiber, R.", title="Cholesky Factorization by Systolic Array", institution=DCS # ", Rensselaer Polytechnic Institute", number="87-14", month=may, year="1987"} @incollection{Schreiber87b, author="Schreiber, R.", title="Systolic Linear Algebra Machines: {A} Survey", booktitle="Signal Processing", editor="Haykin, S.", publisher="Prentice-Hall, Inc.", address="Englewood Cliffs, NJ", year="1987"} @article{Schreiber88a, author="Schreiber, R. and Parlett, B.", title="Block Reflectors: {Theory} and Computation", journal=SINUM, volume="25", pages="189-205", year="1988"} @incollection{Schreiber88b, author="Schreiber, R.", title="Block Algorithms for Parallel Machines", booktitle="Numerical Algorithms for Modern Parallel Computer Architectures", series="Volumes in Mathematics and its Applications", volume="13", editor="Schultz, M.", publisher="Springer-Verlag", address="Berlin", pages="197-207", year="1988"} @article{Schreiber89a, author="Schreiber, R. and {Van Loan}, C.", title="A Storage Efficient {WY} Representation for Products of {Householder} Transformations", journal=SISSC, volume="10", pages="53-57", year="1989"} @book{Schultz81a, editor="Schultz, M.", title="Elliptic Problem Solvers", booktitle="Elliptic Problem Solvers", publisher="Academic Press", address="New York, NY", year="1981"} @incollection{Schultz84a, author="Schultz, M.", title="Solving Elliptic Problems on an Array Processor System", crossref="Birkhoff84a", pages="77-92", year="1984"} @techreport{Schultz85a, author="Schultz, M.", title="Multiple Array Processors for Ocean Acoustic Problems", institution=DCS # ", Yale University", number="YALEU/DCS/RR-363", month=feb, year="1985"} @inproceedings{Schwan87a, author="Schwan, K. and Bo, W. and Bauman, N. and Sadayappan, P. and Ercal, F.", title="Mapping Parallel Applications to a Hypercube", crossref="Heath87b", pages="141-154", year="1987"} @article{Schwandt85a, author="Schwandt, H.", title="Newton-like Interval Methods for Large Nonlinear Systems of Equations on Vector Computers", journal=CPC, volume="37", pages="223-232", year="1985"} @article{Schwandt87a, author="Schwandt, H.", title="An Interval Arithmetic Method for the Solution of Nonlinear Systems of Equations on a Vector Computer", journal=PC, volume="4", pages="323-338", year="1987"} @article{Schwandt87b, author="Schwandt, H.", title="Interval Arithmetic Block Cyclic Reduction on Vector Computers", journal=JPDC, volume="4", pages="459-487", year="1987"} @article{Schwartz80a, author="Schwartz, J.", title="Ultracomputers", journal="ACM Trans. Program. Lang. Syst.", volume="2", pages="484-521", year="1980"} @techreport{Schwartz83a, author="Schwartz, J.", title="A Taxonomic Table of Parallel Computers, Based on 55 Designs", institution="Courant Institute, New York University", type="Ultracomputer Note", number="69", year="1983"} @article{Schwiegelshohn87a, author="Schwiegelshohn, U. and Thiele, L.", title="A Systolic Array for Cyclic-by-Rows {Jacobi} Algorithms", journal=JPDC, volume="4", pages="334-340", year="1987"} @incollection{Scott81a, author="Scott, R.", title="On the Choice of Discretization for Solving {PDE}'s on a Multi-Processor", crossref="Schultz81a", pages="419-422", year="1981"} @article{Scott86a, author="Scott, D.", title="Avoiding the Square-Root Bottleneck in the {Choleski} Factorization of a Matrix on a Parallel Computer", journal=LAA, volume="77", pages="341-344", year="1986"} @article{Scott86b, author="Scott, D. and Heath, M. and Ward, R.", title="Parallel Block {Jacobi} Eigenvalue Algorithms Using Systolic Arrays", journal=LAA, volume="77", pages="345-355", year="1986"} @article{Scott87a, author="Scott, N. and Milligan, P. and Riley, H.", title="The Parallel Computation of {Racah} Coefficients Using Transputers", journal=CPC, volume="46", pages="83-98", year="1987"} @inproceedings{Scott87b, author="Scott, R. and Boyle, J. and Bagheri, B.", title="Distributed Data Structures for Scientific Computation", crossref="Heath87b", pages="55-66", year="1987"} @inproceedings{Scott88a, author="Scott, S. and Demuth, H. and Haley, J.", title="Comparison of Parallel {SOR} Algorithms for Solution of Sparse Matrix Problems", crossref="Kartashev87a", pages="424-432", year="1988"} @article{Scott88b, author="Scott, M. and Montry, G.", title="Some Experiments in Multitasking on an {ELXSI} System 6400", journal=AMC, volume="26", pages="135-150", year="1988"} @article{Seager86a, author="Seager, M.", title="Overhead Considerations for Parallelizing Conjugate Gradient", journal=CANM, volume="2", pages="273-279", year="1986"} @article{Seager86b, author="Seager, M.", title="Parallelizing Conjugate Gradient for the {CRAY} {X--MP}", journal=PC, volume="3", pages="35-48", year="1986"} @incollection{Sedukein85a, author="Sedukein, S.", title="The Computing Structures of Algorithms and {VLSI}-Based Computer Architecture", booktitle="Computational Processes and Systems", publisher="Izdatel'stvo Nauka", address="Moscow", pages="129-139", year="1985"} @inproceedings{Seitz82a, author="Seitz, C.", title="Ensemble Architectures for {VLSI} --- {A} Survey and Taxonomy", booktitle="Proc. MIT Conf. on Advanced Res. in VLSI", editor="Penfield, P.", publisher="Artech House", pages="130-135", year="1982"} @article{Seitz84a, author="Seitz, C.", title="Experiments with {VLSI} Ensemble Machines", journal="J. VLSI and Comp. Sys.", volume="1", number="3", year="1984"} @article{Seitz84b, author="Seitz, C. and Matisoo, J.", title="Engineering Limits on Computer Performance", journal="Physics Today", volume="37", number="5", pages="38-45", year="1984"} @article{Seitz84c, author="Seitz, C.", title="Concurrent {VLSI} Architectures", journal=TOC, volume="C-33", pages="1247-", year="1984"} @article{Seitz85a, author="Seitz, C.", title="The Cosmic Cube", journal=CACM, volume="28", pages="22-33", year="1985"} @inproceedings{Sejnowski80a, author="Sejnowski, M. and Upchurch, E. and Kapur, R. and Charlu, D. and Lipovski, G.", title="An Overview of the {Texas} {Reconfigurable} {Array} {Computer}", booktitle="AFIPS Conf. 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COMPCON 84, IEEE Comp. Soc. Conf.", pages="360-363", year="1984"} @article{Shedler67a, author="Shedler, G.", title="Parallel Numerical Methods for the Solution of Equations", journal=CACM, volume="10", pages="286-291", year="1967"} @article{Shedler67b, author="Shedler, G. and Lehman, M.", title="Evaluation of Redundancy in a Parallel Algorithm", journal="IBM Systems J.", volume="6", pages="142-149", year="1967"} @inproceedings{Shell85a, author="Shell, M. and Bouldin, D. and Manhardt, P.", title="Design and Implementation of a {VLSI} Systolic Array for Solving Nonlinear Parallel Differential Equations", booktitle="Proc. 1985 " # ICPP, pages="96-98", year="1985"} @inproceedings{Sheu87a, author="Sheu, S. and Lin, W. and Das, C.", title="An Efficient Parallel Algorithm of Conjugate Gradient Method", crossref="Kartashev87a", pages="488-496", year="1987"} @inproceedings{Shimada84a, author="Shimada, T. and Hiraki, K. and Nishida, K.", title="An Architecture of a Data Flow Computer and Its Evaluation", booktitle="Proc. COMPCON 84, IEEE Comp. Soc. Conf.", pages="486-490", year="1984"} @article{Siegel79a, author="Siegel, H.", title="Interconnection Networks for {SIMD} Machines", journal="Computer", volume="12", number="6", pages="57-65", year="1979"} @article{Siegel81a, author="Siegel, H. and McMillen, R.", title="The Multistage Cube: {A} Versatile Interconnection Network", journal="Computer", volume="14", pages="65-76", year="1981"} @article{Siegel82a, author="Siegel, L. and Siegel, H. and Swain, P.", title="Performance Measurements for Evaluating Algorithms for {SIMD} Machines", journal=TSE, volume="SE-8", pages="319-331", year="1982"} @book{Siegel85a, author="Siegel, H.", title="Interconnection Networks for Large-Scale Parallel Processing: {Theory} and Case Studies", booktitle="Interconnection Networks for Large-Scale Parallel Processing: {Theory} and Case Studies", publisher="Lexington Books", year="1985"} @incollection{Siewiorek83a, author="Siewiorek, D.", title="State-of-the-Art in Parallel Computing", crossref="Noor83a", pages="33-48", year="1983"} @article{Silvester88a, author="Silvester, D.", title="Optimising Finite Element Matrix Calculations Using the General Technique of Element Vectorization", journal=PC, volume="6", pages="157-164", year="1988"} @techreport{Simmons86a, author="Simmons, M. and Lubeck, O.", title="Benchmark of the {Convex} {C--1} Mini Supercomputer", institution=LANL, number="LA-UR-86-2890", month=aug, year="1986"} @inproceedings{Simon85a, author="Simon, H.", title="Incomplete {LU} Preconditioners for Conjugate Gradient Type Iterative Methods", booktitle="Proc. 8th SPE Symp. on Reservoir Simulation", address="Dallas, TX", month=feb, year="1985"} @techreport{Skeel87a, author="Skeel, R.", title="Waveform Iteration and the Shifted {Picard} Splitting", institution=DCS # ", University of Illinois at Urbana-Champaign", number="700", month=nov, year="1987"} @article{Slotnick62a, author="Slotnick, D. and Borck, W. and McReynolds, R.", title="The {SOLOMON} Computer", journal="Proc. AFIPS, FJCC", volume="22", pages="97-107", year="1962"} @article{Smarr85a, author="Smarr, L.", title="An Approach to Complexity: {Numerical} Computations", journal="Science", volume="228", month=apr, pages="403-408", year="1985"} @inproceedings{Smith78a, author="Smith, B.", title="A Pipelined, Shared Resource {MIMD} Computer", booktitle="Proc. 1978 " # ICPP, pages="6-8", year="1978"} @techreport{Smith78b, author="Smith, R. and Pitts, J. and Lambiotte, J.", title="A Vectorization of the {Jameson-Caughey} {NYU} Transonic Swept-wing Computer Program {FLO}--22--{VI} for the {STAR}--100 Computer", type="NASA Tech. 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Op. Sys. Princ.", pages="108-114", year="1979"} @article{Sorensen84a, author="Sorensen, D.", title="Buffering for Vector Performance on a Pipelined {MIMD} Machine", journal=PC, volume="1", pages="143-164", year="1984"} @article{Sorensen85a, author="Sorensen, D.", title="Analysis of Pairwise Pivoting in {Gaussian} Elimination", journal=TOC, volume="C-34", pages="274-278", year="1985"} @techreport{South80a, author="South, J. and Keller, J. and Hafez, M.", title="Computational Transonics on a Vector Computer", institution="U. S. Army Numerical Analysis and Computers Conference", type="ARO Report", number="80-3", month=aug, pages="357-368", year="1980"} @article{South80b, author="South, J. and Keller, J. and Hafez, M.", title="Vector Processor Algorithms for Transonic Flow Calculations", journal="AIAA J.", volume="18", pages="786-792", year="1980"} @techreport{South85a, author="South, J.", title="Recent Advances in Computational Aerodynamics", institution="AIAA", type="Paper", number="85-0366", note="23rd Aerospace Sciences Meeting, Reno, NV", year="1985"} @article{Srinivas83a, author="Srinivas, M.", title="Optimal Parallel Scheduling of {Gaussian} Elimination {DAG}'s", journal=TOC, volume="C-32", pages="1109-1117", year="1983"} @inproceedings{Stanat82a, author="Stanat, P. and Nolen, J.", title="Performance Comparisons for Reservoir Simulation Problems on Three Supercomputers", booktitle="6th SPE Symposium Reservoir Simulation", note="Also in Control Data Corp. \cite{Control82a}", year="1982"} @article{Steffen88a, author="Steffen, B.", title="Implementation of a Resonant Cavity Package on {MIMD} Computers", journal=PC, volume="7", pages="55-64", year="1988"} @inproceedings{Steffen88b, author="Steffen, B.", title="Multigrid Methods for Calculation of Electromagnets and their Implementation on {MIMD} Computers", crossref="McCormick88b", year="1988"} @article{Stevens75a, author="Stevens, K.", title="{CFD} --- {A} {Fortran}-Like Language for the {Illiac} {IV}", journal="Sigplan Notices", pages="72-80", year="1975"} @inproceedings{Stevens79a, author="Stevens, K.", title="Numerical Aerodynamics Simulation Facility Project", crossref="Jesshope79b", pages="331-342", year="1979"} @article{Stewart87a, author="Stewart, G.", title="A Parallel Implementation of the {QR}-Algorithm", journal=PC, volume="5", pages="187-196", year="1987"} @article{Stone71a, author="Stone, H.", title="Parallel Processing with the Perfect Shuffle", journal=TOC, volume="C-20", pages="153-161", year="1971"} @article{Stone73a, author="Stone, H.", title="An Efficient Parallel Algorithm for the Solution of a Tridiagonal Linear System of Equations", journal=JACM, volume="20", pages="27-38", year="1973"} @article{Stone75a, author="Stone, H.", title="Parallel Tridiagonal Equation Solvers", journal=ACMTMS, volume="1", pages="289-307", year="1975"} @article{Stone77a, author="Stone, H.", title="Multiprocessor Scheduling with the Aid of Network Flow Algorithms", journal=TSE, volume="SE-3", pages="85-94", year="1977"} @incollection{Stone80a, author="Stone, H.", title="Parallel Computation", booktitle="Introduction to Computer Architecture", edition="Second", editor="Stone, H.", publisher="Science Research Associates, Inc.", pages="363-425", year="1980"} @book{Stone87a, author="Stone, H.", title="High Performance Computer Architecture", booktitle="High Performance Computer Architecture", publisher="Addison-Wesley", address="New York", year="1987"} @inproceedings{Storaasli82a, author="Storaasli, O. and Peebles, S. and Crockett, T. and Knott, J. and Adams, L.", title="The {Finite} {Element} {Machine}: {An} Experiment in Parallel Processing", booktitle="Proc. of Conf. on Res. in Structures and Solid Mech.", note="NASA Conf. 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Comp. Arch.", pages="105-117", year="1977"} @article{Sullivan77b, author="Sullivan, H. and Bashkow, T.", title="A Large Scale, Homogeneous, Fully Distributed Parallel Machine", journal="Comput. Arch. News", volume="5", pages="105-117", year="1977"} @article{Sutti83a, author="Sutti, C.", title="Nongradient Minimization Methods for Parallel Processing Computers", journal="J. Optim. Theory Appl.", volume="39", pages="465-488", year="1983"} @inproceedings{Swan77a, author="Swan, R. and Fuller, S. and Siewiorek, D.", title="Cm* --- {A} Modular Multi-Microprocessor", booktitle="Proc. AFIPS Nat. Computer Conf., Montvale, NJ", publisher="AFIPS Press", pages="637-644", year="1977"} @article{Swarztrauber79a, author="Swarztrauber, P.", title="A Parallel Algorithm for Solving General Tridiagonal Equations", journal=MC, volume="33", pages="185-199", year="1979"} @inproceedings{Swarztrauber79b, author="Swarztrauber, P.", title="The Solution of Tridiagonal Systems on the {CRAY}--1", crossref="Jesshope79b", pages="343-358", year="1979"} @incollection{Swarztrauber82a, author="Swarztrauber, P.", title="Vectorizing the {FFTs}", crossref="Rodrigue82a", pages="51-83", year="1982"} @incollection{Swarztrauber83a, author="Swarztrauber, P.", title="Efficient Algorithms for Pipeline and Parallel Computers", crossref="Noor83a", pages="89-104", year="1983"} @article{Swarztrauber84a, author="Swarztrauber, P.", title="{FFT} Algorithms for Vector Computers", journal=PC, volume="1", pages="45-63", year="1984"} @article{Swarztrauber87a, author="Swarztrauber, P.", title="Multiprocessor {FFTs}", journal=PC, volume="5", pages="197-210", year="1987"} @article{Sweet87a, author="Sweet, R.", title="A Parallel and Vector Variant of the Cyclic Reduction Algorithm", journal="Supercomputer", volume="22", pages="18-25", year="1987"} @article{Sweet88a, author="Sweet, R.", title="A Parallel and Vector Variant of the Cyclic Reduction Algorithm", journal=SISSC, volume="9", pages="761-765", year="1988"} @inproceedings{Swisshelm85a, author="Swisshelm, J. and Johnson, G.", title="Numerical Simulation of Three Dimensional Flowfields using the {Cyber} 205", crossref="Numrich85a", pages="179-195", year="1985"} @article{Swisshelm86a, author="Swisshelm, J. and Johnson, G. and Kumar, S.", title="Parallel Computation of {Euler} and {Navier-Stokes} Flows", journal=AMC, volume="19", number="1-4", note="(Special Issue, Proceedings of the Second Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, S. McCormick, ed.)", pages="321-332", month=jul, year="1986"} @techreport{Taft82a, author="Taft, C.", title="Preconditioning Strategies for Solving Elliptic Equations on a Multiprocessor", institution=DCS # ", University of Illinois at Urbana-Champaign", year="1982"} @article{Tai84a, author="Tai, H.-M. and Saeks, R.", title="Parallel System Simulation", journal="IEEE Trans. Syst. Man. Cybern.", volume="SMC-14", pages="177-183", year="1984"} @inproceedings{Takahashi82a, author="Takahashi, Y.", title="Partitioning and Allocation in Parallel Computation of Partial Differential Equations", booktitle="Proc. 10th IMACS World Congress on Systems Simulation and Scientific Computation, vol. 1", pages="311-313", year="1982"} @phdthesis{Tang86a, author="Tang, W.", title="Schwartz Splitting, A Model for Parallel Computations", school="Stanford University", address=DCS, year="1986"} @article{Teleman86a, author="Teleman, O. and Jonson, B.", title="Vectorizing a General-Purpose Molecular Dynamics Simulation Program", journal="J. Comp. Chem.", volume="7", pages="58-66", year="1986"} @article{Temperton79a, author="Temperton, C.", title="Direct Methods for the Solution of the Discrete {Poisson} Equation: {Some} Comparisons", journal="J. Comp. 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Phys.", volume="34", pages="314-329", year="1980"} @inproceedings{Temperton84a, author="Temperton, C.", title="Fast {Fourier} Transforms on the {CYBER} 205", crossref="Kowalik84a", pages="403-416", year="1984"} @article{Temperton88a, author="Temperton, C.", title="Implementation of a Prime Factor {FFT} Algorithm on {CRAY}--1", journal=PC, volume="6", pages="99-108", year="1988"} @inproceedings{Tennille82a, author="Tennille, G.", title="Development of a One-Dimensional Stratospheric Analysis Program for the {CYBER} 203", crossref="Control82a", year="1982"} @inproceedings{Thakore87a, author="Thakore, A. and Su, S.", title="Matrix Inversion and {LU} Decomposition on a Multicomputer System with Dynamic Control", crossref="Kartashev87a", pages="291-301", year="1987"} @inproceedings{Thole88a, author="Thole, C.", title="The {SUPRENUM} Approach: {MIMD} Architecture for Multigrid Algorithms", crossref="McCormick88b", year="1988"} @inproceedings{Thole88b, author="Thole, C.", title="Parallel Multigrid Algorithms on a Message-Based {MIMD} System", crossref="McCormick88b", year="1988"} @article{Thomas83a, author="Thomas, W. and Lewis, E.", title="Two Vectorized Algorithms for the Solution of Three Dimensional Neutron Diffusion Equations", journal="Nuc. Sci. Eng.", volume="84", pages="67-71", year="1983"} @incollection{Thompkins83a, author="Thompkins, W. and Haimes, R.", title="A Minicomputer/Array Processor/Memory System for Large-Scale Fluid Dynamic Calculations", crossref="Noor83a", pages="117-126", year="1983"} @article{Thurber75a, author="Thurber, K. and Wald, L.", title="Associative and Parallel Processors", journal=ACMCS, volume="7", pages="215-245", year="1975"} @book{Thurber76a, author="Thurber, K.", title="Large Scale Computer Architectures: {Parallel} and Associative Processors", booktitle="Large Scale Computer Architectures: Parallel and Associative Processors", publisher="Hayden Book Co.", year="1976"} @techreport{Thurston87a, author="Thurston, G.", title="A Parallel Solution for the Symmetric Eigenproblem", number="NASA-TM-89082", institution=NLRC, address="Hampton, VA", year="1987"} @book{Tiberghien84a, editor="Tiberghien, J.", title="New Computer Architectures", booktitle="New Computer Architectures", publisher="Academic Press", address="Orlando, FL", year="1984"} @article{Tolle81a, author="Tolle, D. and Siddall, W.", title="On the Complexity of Vector Computations in Binary Tree Machines", journal="Inform. Process. Lett.", volume="13", pages="120-124", year="1981"} @techreport{Tomboulian88a, author="Tomboulian, S. and Crockett, T. and Middleton, D.", title="A Visual Programming Environment for the {Navier-Stokes} Computer", type="ICASE Report", number="88-6", institution=NLRC, address="Hampton, VA", year="1988"} @book{Traub74a, editor="Traub, J.", title="Complexity of Sequential and Parallel Numerical Algorithms", booktitle="Complexity of Sequential and Parallel Numerical Algorithms", publisher="Academic Press", year="1974"} @incollection{Traub74b, author="Traub, J.", title="Iterative Solution of Tridiagonal Systems on Parallel or Vector Computers", crossref="Traub74a", pages="49-82", year="1974"} @article{Travassos80a, author="Travassos, R. and Kaufman, H.", title="Parallel Algorithms for Solving Nonlinear Two-point Boundary-value Problems which Arise in Optimal Control", journal="J. Optim. Theory Appl.", volume="30", pages="53-71", year="1980"} @article{Treleaven79a, author="Treleaven, P.", title="Exploiting Program Concurrency in Computing Systems", journal="Computer", volume="12", number="1", pages="42-50", year="1979"} @incollection{Treleaven84a, author="Treleaven, P.", title="Decentralised Computer Architecture", crossref="Tiberghien84a", year="1984"} @techreport{Tripathi86a, author="Tripathi, S. and Kaisler, S. and Chandran, S. and Agrawala, A.", title="Report of the Workshop on Design and Performance Issues in Parallel Architectures", institution=DCS # ", University of Maryland", number="CS-TR-1705", month=sep, year="1986"} @inproceedings{Tuazon85a, author="Tuazon, J. and Peterson, J. and Pniel, M. and Lieberman, D.", title="{Caltech/JPL} {Mark} {II} Hypercube Concurrent Processor", booktitle="Proc. 1985 " # ICPP, pages="666-673", year="1985"} @article{Tucker88a, author="Tucker, L. and Robinson, G.", title="Architecture and Applications of the {Connection} {Machine}", journal="Computer", volume="21", number="8", pages="26-38", year="1988"} @book{Uhr84a, author="Uhr, L.", title="Algorithm Structured Computer Arrays and Networks", booktitle="Algorithm Structured Computer Arrays and Networks", publisher="Academic Press", address="Orlando, FL", year="1984"} @techreport{Ullman83a, author="Ullman, J.", title="Some Thoughts about Supercomputer Organization", institution=DCS # ", Stanford University", number="STAN-CS-83-987", month=oct, year="1983"} @article{Unger58a, author="Unger, S.", title="A Computer Oriented Towards Spatial Problems", journal="Proc. IRE", volume="46", pages="1744-1750", year="1958"} @inproceedings{Utku86a, author="Utku, S. and Chang, Y. and Salama, M. and Rapp, D.", title="Simultaneous Iterations Algorithm for Generalized Eigenvalue Problems on Parallel Processors", booktitle="Proc. 1986 " # ICPP, pages="59-66", year="1986"} @article{Utku86b, author="Utku, S. and Salama, M. and Melosh, R.", title="Concurrent {Cholesky} Factorization of Positive Definite Banded {Hermitian} Matrices", journal="Int. J. Num. Meth. Eng.", volume="23", pages="2137-2152", year="1986"} @inproceedings{Vajtersic79a, author="Vajtersic, M.", title="A Fast Parallel Method for Solving the Biharmonic Boundary Value Problem on a Rectangle", booktitle="Proc. First European Conference on Parallel Distributed Processing, Toulouse", pages="136-141", year="1979"} @inproceedings{Vajtersic81a, author="Vajtersic, M.", title="Solving Two Modified Discrete {Poisson} Equations in $7 \log N$ Steps on $N^2$ Processors", booktitle="CONPAR 81", pages="473-432", year="1981"} @inproceedings{Vajtersic82a, author="Vajtersic, M.", title="Parallel {Poisson} and Biharmonic Solvers Implemented on the {EGPA} Multiprocessor", booktitle="Proc. 1982 " # ICPP, pages="72-81", year="1982"} @article{Vajtersic84a, author="Vajtersic, M.", title="Parallel Marching {Poisson} Solvers", journal=PC, volume="1", pages="325-330", year="1984"} @incollection{VanLoan86a, author="{Van Loan}, C.", title="The Block {Jacobi} Method for Computing the Singular Value Decomposition", booktitle="Computational and Combinatorial Methods in Systems Theory", editor="Byrnes, C. and Lindquist, A.", publisher="Elsevier Science Publishers B.V. (North-Holland)", address="Amsterdam", pages="245-255", year="1986"} @incollection{VanLoan88a, author="{Van Loan}, C", title="A Block {QR} Factorization Scheme for Loosely Coupled Systems of Array Processors", booktitle="Numerical Algorithms for Modern Parallel Computer Architectures", series="IMA Volumes in Mathematics and its Applications", editor="Schultz, M.", volume="13", publisher="Springer-Verlag", address="Berlin", pages="217-232", year="1988"} @article{VanRosendale83a, author="Van Rosendale, J.", title="Algorithms and Data Structures for Adaptive Multigrid Elliptic Solvers", journal=AMC, volume="13", number="3-4", pages="453-470", note="(Special Issue, Proceedings of the First Copper Mountain Conference on Multigrid Methods, Copper Mountain, CO, S. McCormick and U. Trottenberg, eds.)", month=nov, year="1983"} @inproceedings{VanRosendale83b, author="Van Rosendale, J.", title="Minimizing Inner Product Data Dependencies in Conjugate Gradient Iteration", booktitle="Proc. 1983 " # ICPP, pages="44-46", year="1983"} @techreport{VanRosendale85a, author="Van Rosendale, J. and Mehrotra, P.", title="The {BLAZE} Language: {A} Parallel Language for Scientific Programming", type="ICASE Report", number="85-29", institution=NLRC, address="Hampton, VA", year="1985"} @inproceedings{VanScoy77a, author="Van Scoy, F.", title="Some Parallel Cellular Matrix Algorithms", booktitle="Proc. ACM Comp. Sci. Conf.", year="1977"} @article{Vanka87a, author="Vanka, S.", title="Vectorized Multigrid Fluid Flow Calculations on a {CRAY} {X-MP}/48", journal="I. J. Num. Meth. Fluids", volume="7", pages="635-648", year="1987"} @inproceedings{Vaughan87a, author="Vaughan, C. and Ortega, J.", title="{SSOR} Preconditioned Conjugate Gradient on a Hypercube", crossref="Heath87b", pages="692-705", year="1987"} @techreport{Vavasis86a, author="Vavasis, S.", title="Parallel {Gaussian} Elimination", institution=DCS # ", Stanford University", address="Stanford, CA", number="CS 367A", year="1986"} @article{Veen86a, author="Veen, A.", title="Dataflow Machine Architecture", journal=ACMCS, volume="18", pages="365-396", year="1986"} @inproceedings{Velde87a, author="van de Velde, E. and Keller, H.", title="The Design of a Parallel Multigrid Algorithm", crossref="Kartashev87a", pages="76-83", year="1987"} @incollection{Venkayya83a, author="Venkayya, V. and Calahan, D. and Summers, P. and Tischler, V.", title="Structural Optimization on Vector Processors", crossref="Noor83a", pages="155-190", year="1983"} @article{Verber85a, author="Verber, C.", title="Integrated Optical Architecture for Matrix Multiplication", journal="Optical Engineering", volume="24", pages="19-25", year="1985"} @proceedings{Vichnevetsky84a, editor="Vichnevetsky, R. and Stepleman, R.", title="Advances in Computer Methods for Partial Differential Equations - V, Proceedings of the Fifth IMACS International Symposium", booktitle="Advances in Computer Methods for Partial Differential Equations - V, Proceedings of the Fifth IMACS International Symposium", address="New Brunswick, Canada", year="1984"} @proceedings{Vichnevetsky87a, editor="Vichnevetsky, R. and Stepleman, R.", title="Advances in Computational Methods for Partial Differential Equations - VI, Proceedings of the Sixth IMACS International Symposium", booktitle="Advances in Computational Methods for Partial Differential Equations - VI, Proceedings of the Sixth IMACS International Symposium", address="New Brunswick, Canada", year="1987"} @incollection{Voevodin85a, author="Voevodin, V.", title="Mathematical Problems in the Development of Supercomputers", booktitle="Computational Processes and Systems", publisher="Izdatel'stvo Nauka", address="Moscow", pages="3-12", year="1985"} @book{Voevodin86a, author="Voevodin, V.", title="Mathematical Models and Methods for Parallel Processes", booktitle="Mathematical Models and Methods for Parallel Processes (in Russian, 1030 references)", publisher="Izdatel'stvo Nauka", address="Moscow", year="1986"} @incollection{Voigt77a, author="Voigt, R.", title="The Influence of Vector Computer Architecture on Numerical Algorithms", crossref="Kuck77b", pages="229-244", year="1977"} @book{Voigt84a, editor="Voigt, R. and Gottlieb, D. and Hussaini, M.", title="Spectral Methods for Partial Differential Equations", booktitle="Spectral Methods for Partial Differential Equations", publisher=SIAM, address="Philadelphia, PA", year="1984"} @techreport{Voitus81a, author="Voitus, R.", title="A Multiple Process Software Package for the {Finite} {Element} {Machine}", institution=DCS # ", University of Colorado", year="1981"} @inproceedings{Volkert86a, author="Volkert, J. and Henning, W.", title="Multigrid Algorithms Implemented on {EGPA} Multiprocessor", booktitle="Proc. 1986 " # ICPP, pages="799-805", year="1986"} @article{Vorst82a, author="van der Vorst, H.", title="A Vectorizable Variant of Some {ICCG} Methods", journal=SISSC, volume="3", pages="350-356", year="1982"} @inproceedings{Vorst83a, author="van der Vorst, H.", title="On the Vectorization of Some Simple {ICCG} Methods", booktitle="First Int. Conf. Vector and Parallel Computation in Scientific Applications", address="Paris", year="1983"} @unpublished{Vorst83b, author="van der Vorst, H. and van Kats, J.", title="Comparative Performance Tests on the {CRAY}--1 and {Cyber} 205", note="Preprint", month=may, year="1983"} @incollection{Vorst85a, author="van der Vorst, H.", title="Comparative Performance Tests of {Fortran} Codes on the {CRAY}-1 and {CYBER} 205", editor="van Leeuwen, J. and Lenstra, J.", booktitle="Parallel Computers and Computations", note="CWI Syllabus 9", publisher="CWI", address="Amsterdam", year="1985"} @techreport{Vorst86a, author="van der Vorst, H.", title="Analysis of a Parallel Solution Method for Tridiagonal Systems", institution="Department of Mathematics and Information, Delft University of Technology", number="86-06", year="1986"} @techreport{Vorst86b, author="van der Vorst, H.", title="{(M)ICCG} for {2D} Problems on Vector Computers", institution="Department of Mathematics and Information, Delft University of Technology", number="86-55", year="1986"} @article{Vorst86c, author="van der Vorst, H.", title="The Performance of {Fortran} Implementations for Preconditioned Conjugate Gradients on Vector Computers", journal=PC, volume="3", pages="49-58", year="1986"} @article{Vorst87a, author="van der Vorst, H.", title="Analysis of a Parallel Solution Method for Tridiagonal Linear Systems", journal=PC, volume="5", pages="303-311", year="1987"} @techreport{Vorst87b, author="van der Vorst, H.", title="{ICCG} and Related Methods for {3D} Problems on Vectorcomputers", institution="Data Processing Center, Kyoto University", number="A-18", address="Japan", year="1987"} @article{Vorst87c, author="van der Vorst, H.", title="Large Tridiagonal and Block Tridiagonal Linear Systems on Vector and Parallel Computers", journal=PC, volume="5", pages="45-54", year="1987"} @inproceedings{Vrsalovic84a, author="Vrsalovic, D. and Siewiorek, D. and Segall, A. and Gehringer, E.", title="Performance Prediction for Multiprocessor Systems", booktitle="Proc. 1984 " # ICPP, pages="139-146", year="1984"} @article{Vu88a, author="Vu, D. and Yang, C.", title="Comparing Tridiagonal Solvers on the {CRAY} {X--MP} /416 System", journal="CRAY Channels", volume="9", number="4", pages="22-25", year="1988"} @incollection{Wachspress84a, author="Wachspress, E.", title="{Navier-Stokes} Pressure Equation Iteration", crossref="Birkhoff84a", pages="315-322", year="1984"} @inproceedings{Wagner83a, author="Wagner, R.", title="The {Boolean} Vector Machine", booktitle="1983 IEEE Conference Proc. 10th Annual Int. Symp. Comp. Arch.", pages="59-66", year="1983"} @techreport{Wagner84a, author="Wagner, R.", title="Parallel Solution of Arbitrarily Sparse Linear Systems", institution=DCS # ", Duke University", number="CS-1984-13", year="1984"} @article{Wagner88a, author="Wagner, R. and Patrick, M.", title="A Sparse Matrix Algorithm on the {Boolean} Vector Machine", journal=PC, volume="6", pages="359-372", year="1988"} @inproceedings{Walker87a, author="Walker, D. and Fox, G. and Ho, A. and Montry, G.", title="A Comparison of the Performance of the {Caltech} {Mark} {II} Hypercube and the {Elxsi} 6400", crossref="Heath87b", year="1987"} @article{Wallach76a, author="Wallach, Y. and Conrad, V.", title="Parallel Solution of Load Flow Problems", journal="Arch. Elektrotechnik", volume="57", pages="345-354", year="1976"} @article{Wallach80a, author="Wallach, Y. and Conrad, V.", title="On Block Parallel Methods for Solving Linear Equations", journal=TOC, volume="C-29", pages="354-359", year="1980"} @article{Wallach82a, author="Wallach, Y.", title="Alternating Sequential-Parallel Calculation of Eigenvalues for Symmetric Matrices", journal="Computing", volume="28", pages="1-16", year="1982"} @article{Wallach84a, author="Wallach, Y.", title="On Two More Eigenvalue Methods for an Alternating Sequential Parallel System", journal="Computing", volume="32", pages="33-42", year="1984"} @inproceedings{Wallis82a, author="Wallis, J. and Grisham, J.", title="Reservoir Simulation on the {CRAY}--1", crossref="Cray82a", pages="122-139", year="1982"} @inproceedings{Wallis82b, author="Wallis, J. and Grisham, J.", title="Petroleum Reservoir Simulation on the {CRAY}--1 and on the {FPS}--164", booktitle="Proc. 10th IMACS World Congress on Systems Simulation and Scientific Computation", volume="1", pages="308-310", year="1982"} @article{Wallqvist87a, author="Wallqvist, A. and Berne, B. and Pangali, C.", title="Exploiting Physical Parallelism Using Supercomputers: {Two} Examples from Chemical Physics", journal="Computer", volume="20", number="5", pages="9-21", year="1987"} @inproceedings{Walton87a, author="Walton, S.", title="Performance of the One-Dimensional Fast {Fourier} Transform on the Hypercube", crossref="Heath87b", pages="530-538", year="1987"} @article{Wang81a, author="Wang, H.", title="A Parallel Method for Tridiagonal Equations", journal=ACMTMS, volume="7", pages="170-183", year="1981"} @article{Wang82a, author="Wang, H.", title="On Vectorizing the Fast {Fourier} Transform", journal="BIT", volume="20", pages="233-243", year="1982"} @techreport{Wang82b, author="Wang, H.", title="Vectorization of a Class of Preconditioned Conjugate Gradient Methods for Elliptic Difference Equations", institution="IBM Scientific Center", address="Palo Alto, CA", year="1982"} @article{Ware73a, author="Ware, W.", title="The Ultimate Computer", journal="IEEE Spectrum", volume="10", number="3", pages="89-91", year="1973"} @techreport{Wasserman87a, author="Wasserman, H. and Simmons, M. and Hayes, A.", title="A Benchmark of the {SCS}--40 Computer: {A} Mini-Supercomputer Compatible with the {Cray} {X--MP/24}", institution=LANL, number="LA-UR-87-659", month=may, year="1987"} @techreport{Watanabe74a, author="Watanabe, P. and Flood, J. and Yen, S.", title="Implementation of Finite Difference Schemes for Solving Fluid Dynamic Problems on {Illiac} {IV}", institution="Coordinated Science Laboratory, University of Illinois at Urbana-Champaign", number="T-11", year="1974"} @article{Watanabe87a, author="Watanabe, T.", title="Architecture and Performance of {NEC} Supercomputer {SC} System", journal=PC, volume="5", pages="247-256", year="1987"} @article{Watson72a, author="Watson, W.", title="The {TI-ASC}, A Highly Modular and Flexible Super Computer Architecture", journal="Proc. 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