%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.02", %%% date = "29 August 2025", %%% time = "08:34:54 MDT", %%% filename = "powell-m-j-d.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% URL = "https://www.math.utah.edu/~beebe", %%% checksum = "52342 8828 39309 397856", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography; BibTeX; Curtis Powell Reid %%% (CPR) method; Davidon Fletcher Powell %%% algorithm; Artificial Bee Colony (ABC) %%% optimizer Fletcher--Powell algorithm; %%% Hestenes--Powell multiplier method; %%% Jaya--Powell Algorithm; M. J. D. (Michael %%% James David) Powell; Newton--Powell %%% algorithm; numerical analysis; numerical %%% optimization method with Powell algorithm %%% (NOMPA); numerical optimization method with %%% Powell algorithm and wavelet analysis %%% (NOMPA-WA); Particle Swarm Optimization %%% (PSO); Powell / Beale Restarts; Powell fruit %%% fly optimization algorithm; Powell Nonlinear %%% Programming Methods; Powell Particle Swarm %%% Optimization; Powell search; Powell's CDS; %%% Powell's conjugate direction method; Powell's %%% direction set method; Powell's dogleg %%% trust-region; Powell fruit fly optimization %%% algorithm; Powell's optimization method; %%% Powell--BP method; Powell--HS algorithm; %%% Powell--PSO method; Powell--Sabin splines; %%% Powell symmetric Broyden Update (PSB); %%% Powell-based cuckoo search algorithm; radial %%% basis functions; spline approximation; %%% Welch--Powell algorithm; Zwart--Powell box %%% spline", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This a bibliography of works by, and about, %%% the English mathematician and numerical %%% analyst M. J. D. (Michael James David) Powell %%% (29 July 1936--19 April 2015). He almost %%% always published using just his initials, but %%% rarely, as Michael J. D. Powell, Michael %%% Powell, and Mike Powell. %%% %%% Web sites about M. J. D. Powell include: %%% %%% https://en.wikipedia.org/wiki/Michael_J._D._Powell %%% https://michaeljdpowell.blogspot.com/ %%% https://www.genealogy.math.ndsu.nodak.edu/id.php?id=65706 %%% https://www.zhangzk.net/powell.html %%% %%% According to the genealogy Web site in late %%% 1923, he has 14 doctoral students, and %%% 152 academic descendants. %%% %%% The Royal Society biographical memoir, entry %%% Buhmann:2018:MJD, lists 82 publications by %%% M. J. D. Powell. At version 1.00, this %%% bibliography records at least 168 works by %%% him, including all listed in the memoir. %%% %%% After completing military service in the %%% Royal Artillery in 1956, Michael Powell won a %%% scholarship to Peterhouse College at %%% Cambridge University, and earned a Bachelor's %%% degree in 1956, followed by a Diploma in %%% Computer Science in 1957. He chose not to %%% continue graduate studies, and instead, %%% joined the UK Atomic Energy Research %%% Establishment (AERE) in Harwell (about 20km %%% south of Oxford), and worked there from 1959 %%% to 1976. %%% %%% At the AERE, in 1963 Michael Powell, Mike %%% Hopper, and Alan Curtis started the Harwell %%% Subroutine Library, one of the early attempts %%% to gather, document, and distribute reliable %%% software for numerical problems. See %%% %%% https://en.wikipedia.org/wiki/HSL_(Fortran_library) %%% %%% Michael Powell was appointed in 1976 to the %%% John Humphrey Plummer Chair in Applied %%% Numerical Analysis at the Department of %%% Applied Mathematics and Theoretical Physics %%% (DAMTP) at Cambridge University. He remained %%% there until his retirement in 2001 at the %%% age of 65. %%% %%% Michael Powell was elected Fellow of the Royal %%% Society in 1983, a Foreign Member of the %%% US National Academy of Sciences in 2001, and %%% a Corresponding Fellow of the Australian Academy %%% of Science in 2007. He received several prizes %%% and medals, and an honorary doctorate from the %%% University of East Anglia in Norwich, England. %%% %%% According to the article %%% %%% https://en.wikipedia.org/wiki/Radial_basis_function %%% %%% the use of radial basis functions is %%% attributed to entry Powell:1977:RPC, and such %%% functions are now key components of some work %%% in machine learning and artificial %%% intelligence. %%% %%% At version 1.02, the year coverage looked %%% like this: %%% %%% 1961 ( 1) 1982 ( 8) 2003 ( 4) %%% 1962 ( 1) 1983 ( 5) 2004 ( 3) %%% 1963 ( 1) 1984 ( 6) 2005 ( 3) %%% 1964 ( 2) 1985 ( 3) 2006 ( 6) %%% 1965 ( 1) 1986 ( 5) 2007 ( 2) %%% 1966 ( 3) 1987 ( 13) 2008 ( 4) %%% 1967 ( 3) 1988 ( 5) 2009 ( 1) %%% 1968 ( 5) 1989 ( 2) 2010 ( 5) %%% 1969 ( 12) 1990 ( 8) 2011 ( 1) %%% 1970 ( 12) 1991 ( 4) 2012 ( 4) %%% 1971 ( 3) 1992 ( 10) 2013 ( 3) %%% 1972 ( 4) 1993 ( 2) 2014 ( 2) %%% 1973 ( 5) 1994 ( 5) 2015 ( 6) %%% 1974 ( 8) 1995 ( 2) 2016 ( 1) %%% 1975 ( 4) 1996 ( 4) 2017 ( 2) %%% 1976 ( 8) 1997 ( 5) 2018 ( 4) %%% 1977 ( 9) 1998 ( 4) 2019 ( 0) %%% 1978 ( 5) 1999 ( 5) 2020 ( 1) %%% 1979 ( 7) 2000 ( 4) 2021 ( 1) %%% 1980 ( 5) 2001 ( 1) 2022 ( 3) %%% 1981 ( 8) 2002 ( 3) 2023 ( 2) %%% %%% Article: 106 %%% Book: 4 %%% InCollection: 2 %%% InProceedings: 102 %%% Misc: 2 %%% PhdThesis: 1 %%% Proceedings: 39 %%% TechReport: 13 %%% %%% Total entries: 269 %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== @Preamble{ "\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" # "\ifx \undefined \bud \def \bud {u} \fi" # "\ifx \undefined \cprime \def \cprime {$'$} \fi" # "\ifx \undefined \cyr \let \cyr = \rm \fi" # "\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}} \fi" } %%% ==================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|https://www.math.utah.edu/~beebe/|"} %%% ==================================================================== %%% Journal abbreviations: @String{j-ACTA-NUMERICA = "Acta Numerica"} @String{j-ADV-COMPUT-MATH = "Advances in Computational Mathematics"} @String{j-ANN-NUM-MATH = "Annals of Numerical Mathematics"} @String{j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC = "Biographical Memoirs of Fellows of the Royal Society"} @String{j-BULL-INST-MATH-APPL = "Bulletin of the Institute of Mathematics and its Applications"} @String{j-CAN-ELECTR-ENG-J = "Canadian electrical engineering journal = Revue canadienne de g{\'e}nie {\'e}lectrique"} @String{j-COMP-J = "The Computer Journal"} @String{j-COMP-OPTIM-APPL = "Computational optimization and applications"} @String{j-COMP-PHYS-COMM = "Computer Physics Communications"} @String{j-CONST-APPROX = "Constructive Approximation"} @String{j-FOUND-COMPUT-MATH = "Foundations of Computational Mathematics. The Journal of the Society for the Foundations of Computational Mathematics"} @String{j-IEEE-ACCESS = "IEEE Access"} @String{j-IEEE-POWER-ENG-REV = "IEEE Power Engineering Review"} @String{j-IEEE-TRANS-CIRCUITS-SYST-I-FUNDAM-THEORY-APPL = "IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications"} @String{j-IEEE-TRANS-ELECTROMAGN-COMPAT = "IEEE Transactions on Electromagnetic Compatibility"} @String{j-IEEE-TRANS-NEURAL-NETW-LEARN-SYST = "IEEE Transactions on Neural Networks and Learning Systems"} @String{j-IEEE-TRANS-POWER-APPAR-SYST = "IEEE Transactions on Power Apparatus and Systems"} @String{j-IEEE-TRANS-VIS-COMPUT-GRAPH = "IEEE Transactions on Visualization and Computer Graphics"} @String{j-IMA-J-NUMER-ANAL = "IMA Journal of Numerical Analysis"} @String{j-J-APPROX-THEORY = "Journal of Approximation Theory"} @String{j-J-INST-MATH-APPL = "Journal of the Institute of Mathematics and its Applications"} @String{j-LECT-NOTES-MATH = "Lecture Notes in Mathematics"} @String{j-LINEAR-ALGEBRA-APPL = "Linear Algebra and its Applications"} @String{j-MATH-COMPUT = "Mathematics of Computation"} @String{j-MATH-PROG = "Mathematical Programming"} @String{j-MATH-PROG-STUDY = "Mathematical Programming Study"} @String{j-MATH-PROGRAM-COMPUT = "Mathematical Programming Computation"} @String{j-MATH-TODAY = "Mathematics Today"} @String{j-NUM-MATH = "{Numerische Mathematik}"} @String{j-NUMER-ALGORITHMS = "Numerical Algorithms"} @String{j-OPTIM-METHODS-SOFTW = "Optimization Methods and Software"} @String{j-SIAM-J-NUMER-ANAL = "SIAM Journal on Numerical Analysis"} @String{j-SIAM-J-OPT = "SIAM Journal on Optimization"} @String{j-SIAM-REVIEW = "SIAM Review"} @String{j-SIGNUM = "ACM SIGNUM Newsletter"} @String{j-TOMS = "ACM Transactions on Mathematical Software"} @String{j-Z-ANGE-MATH-MECH = "{Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}"} %%% ==================================================================== %%% Publisher abbreviations: @String{pub-ACADEMIC = "Academic Press"} @String{pub-ACADEMIC:adr = "New York, USA"} @String{pub-AMS = "American Mathematical Society"} @String{pub-AMS:adr = "Providence, RI, USA"} @String{pub-BIRKHAUSER = "Birkh{\"a}user"} @String{pub-BIRKHAUSER:adr = "Cambridge, MA, USA; Berlin, Germany; Basel, Switzerland"} @String{pub-BIRKHAUSER-BOSTON = "Birkh{\"a}user Boston Inc."} @String{pub-BIRKHAUSER-BOSTON:adr = "Cambridge, MA, USA"} @String{pub-CAMBRIDGE = "Cambridge University Press"} @String{pub-CAMBRIDGE:adr = "Cambridge, UK"} @String{pub-CHAPMAN-HALL = "Chapman and Hall"} @String{pub-CHAPMAN-HALL:adr = "London, England"} @String{pub-CHAPMAN-HALL-CRC = "Chapman and Hall/CRC"} @String{pub-CHAPMAN-HALL-CRC:adr = "Boca Raton, FL, USA"} @String{pub-CLARENDON = "Clarendon Press"} @String{pub-CLARENDON:adr = "Oxford, UK"} @String{pub-GORDON-BREACH = "Gordon and Breach"} @String{pub-GORDON-BREACH:adr = "New York, NY, USA"} @String{pub-HMSO = "Her Majesty's Stationery Office"} @String{pub-HMSO:adr = "London, UK"} @String{pub-IEEE = "IEEE Computer Society Press"} @String{pub-IEEE:adr = "1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA"} @String{pub-IMA = "Institute of Mathematics and its Applications"} @String{pub-IMA:adr = "Southend-on-Sea, UK"} @String{pub-KLUWER = "Kluwer Academic Publishers Group"} @String{pub-KLUWER:adr = "Norwell, MA, USA, and Dordrecht, The Netherlands"} @String{pub-LONGMAN = "Longman Scientific and Technical"} @String{pub-LONGMAN:adr = "Harlow, Essex, UK"} @String{pub-NORTH-HOLLAND = "North-Holland Publishing Co."} @String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"} @String{pub-OXFORD = "Oxford University Press"} @String{pub-OXFORD:adr = "Walton Street, Oxford OX2 6DP, UK"} @String{pub-SIAM = "SIAM Press"} @String{pub-SIAM:adr = "Philadelphia, PA, USA"} @String{pub-SV = "Spring{\-}er-Ver{\-}lag"} @String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-TCD-AERE = "Theoretical Physics Division, Atomic Energy Research Establishment"} @String{pub-TCD-AERE:adr = "Harwell, Berkshire, UK"} @String{pub-UTIL-MATH = "Utilitas Mathematica"} @String{pub-UTIL-MATH:adr = "Winnipeg, MB, Canada"} @String{pub-WORLD-SCI = "World Scientific Publishing Co."} @String{pub-WORLD-SCI:adr = "Singapore; Philadelphia, PA, USA; River Edge, NJ, USA"} %%% ==================================================================== %%% Series abbreviations: @String{ser-LECT-NOTES-MATH = "Lecture Notes in Mathematics"} %%% ==================================================================== %%% Part 1: Publications by Michael J. D. Powell @TechReport{Powell:1961:SHF, author = "M. J. D. Powell", title = "Scheme for handling functions on a computer", type = "Report", number = "AERE R3830", institution = "United Kingdom Atomic Energy Authority", address = "Harwell, UK", pages = "????", month = sep, year = "1961", bibdate = "Sat Nov 18 14:45:49 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1962:IMF, author = "M. J. D. Powell", title = "An Iterative Method for Finding Stationary Values of a Function of Several Variables", journal = j-COMP-J, volume = "5", number = "2", pages = "147--151", month = aug, year = "1962", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/5.2.147", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Fri Sep 29 08:55:38 MDT 2000", bibsource = "http://comjnl.oxfordjournals.org/content/5/2.toc; http://www3.oup.co.uk/computer_journal/hdb/Volume_05/Issue_02/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/compj.bib; https://www.math.utah.edu/pub/tex/bib/compj1960.bib; Theory/Matrix.bib", URL = "http://comjnl.oxfordjournals.org/content/5/2/147.full.pdf+html; http://www3.oup.co.uk/computer_journal/hdb/Volume_05/Issue_02/050147.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_05/Issue_02/tiff/147.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_05/Issue_02/tiff/148.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_05/Issue_02/tiff/149.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_05/Issue_02/tiff/150.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_05/Issue_02/tiff/151.tif", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", keywords = "nlop", } @Article{Fletcher:1963:RCD, author = "R. Fletcher and M. J. D. Powell", title = "A Rapidly Convergent Descent Method for Minimization", journal = j-COMP-J, volume = "6", number = "2", pages = "163--168", month = aug, year = "1963", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/6.2.163", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", MRclass = "65.30", MRnumber = "152116", bibdate = "Fri Sep 29 08:55:47 MDT 2000", bibsource = "http://comjnl.oxfordjournals.org/content/6/2.toc; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/compj.bib; https://www.math.utah.edu/pub/tex/bib/compj1960.bib", URL = "http://comjnl.oxfordjournals.org/content/6/2/163.full.pdf+html; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/060163.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/tiff/163.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/tiff/164.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/tiff/165.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/tiff/166.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/tiff/167.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/tiff/168.tif", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", mynote = "Second most cited paper in Math or Computer Science 1961-82. Fifth most cited 1945-88.", } @Article{Powell:1964:EMF, author = "M. J. D. Powell", title = "An Efficient Method for Finding the Minimum of a Function of Several Variables without Calculating Derivatives", journal = j-COMP-J, volume = "7", number = "2", pages = "155--162", month = jul, year = "1964", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/7.2.155", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", MRclass = "65.30", MRnumber = "187376", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "Ai/Constr.logic.prog.bib; http://comjnl.oxfordjournals.org/content/7/2.toc; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/compj.bib; https://www.math.utah.edu/pub/tex/bib/compj1960.bib; Theory/Matrix.bib", URL = "http://comjnl.oxfordjournals.org/content/7/2/155.full.pdf+html; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/070155.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/tiff/155.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/tiff/156.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/tiff/157.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/tiff/158.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/tiff/159.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/tiff/160.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/tiff/161.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/tiff/162.tif", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", keywords = "nlop", } @TechReport{Powell:1964:MMS, author = "M. J. D. Powell", title = "A method for minimising a sum of squares of non-linear functions without calculating derivatives", type = "Report", number = "AERE TP-161", institution = pub-TCD-AERE, address = pub-TCD-AERE:adr, pages = "13", year = "1964", bibdate = "Sat Nov 18 14:55:53 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1965:MMS, author = "M. J. D. Powell", title = "A Method for Minimizing a Sum of Squares of Non-Linear Functions Without Calculating Derivatives", journal = j-COMP-J, volume = "7", number = "4", pages = "303--307", month = jan, year = "1965", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/7.4.303", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", MRclass = "65.20", MRnumber = "172456", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "Ai/Constr.logic.prog.bib; http://comjnl.oxfordjournals.org/content/7/4.toc; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_04/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/compj.bib; https://www.math.utah.edu/pub/tex/bib/compj1960.bib; Theory/Matrix.bib", URL = "http://comjnl.oxfordjournals.org/content/7/4/303.full.pdf+html; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_04/070303.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_04/tiff/303.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_04/tiff/304.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_04/tiff/305.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_04/tiff/306.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_04/tiff/307.tif", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", keywords = "nlop, lsq, nllsq", } @Article{Curtis:1966:CEA, author = "A. R. Curtis and M. J. D. Powell", title = "On the convergence of exchange algorithms for calculating minimax approximations", journal = j-COMP-J, volume = "9", number = "1", pages = "78--80", month = may, year = "1966", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/9.1.78", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", MRclass = "65.30", MRnumber = "195234", MRreviewer = "J. R. Rice", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "http://comjnl.oxfordjournals.org/content/9/1.toc; http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_01/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/compj.bib; https://www.math.utah.edu/pub/tex/bib/compj1960.bib", URL = "http://comjnl.oxfordjournals.org/content/9/1/78.full.pdf+html; http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_01/tiff/78.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_01/tiff/79.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_01/tiff/80.tif", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } @Article{Curtis:1966:NCM, author = "A. R. Curtis and M. J. D. Powell", title = "Necessary Conditions for a Minimax Approximation", journal = j-COMP-J, volume = "8", number = "4", pages = "358--361", month = jan, year = "1966", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/8.4.358", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Tue Dec 4 14:47:34 MST 2012", bibsource = "http://comjnl.oxfordjournals.org/content/8/4.toc; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/compj.bib; https://www.math.utah.edu/pub/tex/bib/compj1960.bib", URL = "http://comjnl.oxfordjournals.org/content/8/4/358.full.pdf+html; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/080358.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/358.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/359.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/360.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/361.tif", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } @Article{Powell:1966:WUS, author = "M. J. D. Powell and J. Swann", title = "Weighted uniform sampling --- a {Monte Carlo} technique for reducing variance", journal = j-J-INST-MATH-APPL, volume = "2", number = "3", pages = "228--236", month = sep, year = "1966", CODEN = "JMTAA8", DOI = "https://doi.org/10.1093/imamat/2.3.228", ISSN = "0020-2932", ISSN-L = "0020-2932", MRclass = "65.15", MRnumber = "34 #6986 (207170)", MRreviewer = "J. Spanier", bibdate = "Sat Apr 6 16:27:10 2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib", ZMnumber = "0144.42001", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Journal of the Institute of Mathematics and its Applications", journal-URL = "http://imamat.oxfordjournals.org/content/by/year", } @TechReport{Powell:1967:CFC, author = "M. J. D. Powell", title = "Curve fitting by cubic splines", type = "Report", number = "AERE TP-307", institution = "United Kingdom Atomic Energy Authority", address = "Harwell, UK", pages = "27", year = "1967", bibdate = "Sat Nov 18 14:51:11 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1967:MEP, author = "M. J. D. Powell", title = "On the Maximum Errors of Polynomial Approximations Defined by Interpolation and by Least Squares Criteria", journal = j-COMP-J, volume = "9", number = "4", pages = "404--407", month = feb, year = "1967", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/9.4.404", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", MRclass = "65.20", MRnumber = "208807", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "http://comjnl.oxfordjournals.org/content/9/4.toc; http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_04/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/compj.bib; https://www.math.utah.edu/pub/tex/bib/compj1960.bib", URL = "http://comjnl.oxfordjournals.org/content/9/4/404.full.pdf+html; http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_04/090404.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_04/tiff/404.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_04/tiff/405.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_04/tiff/406.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_04/tiff/407.tif", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } @TechReport{Powell:1967:MNL, author = "M. J. D. Powell", title = "A method for non-linear constraints in minimization problems", type = "Report", number = "AERE TP 310", institution = pub-TCD-AERE, address = pub-TCD-AERE:adr, pages = "23", year = "1967", bibdate = "Sat Nov 18 15:01:48 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1968:AHM, author = "M. J. D. Powell and J. K. Reid", editor = "A. J. M. Morell", booktitle = "Proceedings of the {IFIP Congress 68}", title = "On Applying {Householder}'s Method to Linear Least Squares Problems", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "122--126", year = "1968", bibdate = "Sat Dec 22 07:23:41 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @TechReport{Powell:1968:AHT, author = "M. J. D. Powell and J. K. Reid", title = "On Applying {Householder} Transformations to Linear Least Squares Problems", number = "T.P. 322", institution = "Mathematics Branch, Theoretical Physics Division, Atomic Energy Research Establishment", address = "Harwell, UK", pages = "20", month = feb, year = "1968", bibdate = "Thu Nov 16 11:52:41 GMT 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1968:BSA, author = "M. J. D. Powell", editor = "Lothar Collatz", booktitle = "{Numerische Mathematik. Differentialgleichungen. Approximationstheorie (Tagungen, Oberwolfach, 1966)}", title = "On best {$ L_2 $} spline approximations", volume = "9", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "317--339", year = "1968", ISBN = "3-7643-0193-7", ISBN-13 = "978-3-7643-0193-4", LCCN = "????", MRclass = "65.20 (41.00)", MRnumber = "267729", MRreviewer = "L. L. Schumaker", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Internat. Ser. Numer. Math.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1968:COV, author = "M. J. D. Powell", title = "On the Calculation of Orthogonal Vectors", journal = j-COMP-J, volume = "11", number = "3", pages = "302--304", month = nov, year = "1968", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/11.3.302", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", MRclass = "65.35", MRnumber = "237082", bibdate = "Tue Dec 4 14:47:41 MST 2012", bibsource = "http://comjnl.oxfordjournals.org/content/11/3.toc; http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_03/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/compj.bib; https://www.math.utah.edu/pub/tex/bib/compj1960.bib; Theory/Matrix.bib", note = "See correspondence \cite{Andrew:1969:CCO}.", URL = "http://comjnl.oxfordjournals.org/content/11/3/302.full.pdf+html; http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_03/110302.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_03/tiff/302.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_03/tiff/303.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_11/Issue_03/tiff/304.tif", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", classcodes = "C4140 (Linear algebra)", fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", keywords = "linear algebra; nla, qrd, updating, orthogonalization", } @TechReport{Powell:1968:FSS, author = "M. J. D. Powell", title = "A {Fortran} subroutine for solving systems of non-linear algebraic equations", number = "AERE R 5947", institution = pub-TCD-AERE, address = pub-TCD-AERE:adr, pages = "54", year = "1968", ISBN = "0-11-980426-3", ISBN-13 = "978-0-11-980426-3", bibdate = "Sat Jan 27 13:40:57 MST 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/fortran1.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", xxpages = "55", } @InProceedings{Powell:1969:AHT, author = "M. J. D. Powell and J. K. Reid", title = "On Applying {Householder} Transformations to Linear Least Squares Problems", crossref = "Morrell:1969:IPP", pages = "122--126", year = "1969", MRclass = "65.20", MRnumber = "0255017", bibdate = "Sat Dec 22 07:23:54 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", mynote = "My copy has page nos A34-A38! Above chosen by consensus!", } @Article{Powell:1969:BRN, author = "M. J. D. Powell", title = "Book Review: {{\booktitle{Nonlinear Programming --- Sequential Unconstrained Minimization Techniques}}, by A. V. Fiacco and G. P. McCormick 1969; 210 pages (John Wiley \& Sons, Ltd.)}", journal = j-COMP-J, volume = "12", number = "3", pages = "207--207", month = aug, year = "1969", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/12.3.207-a", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Tue Dec 4 14:47:43 MST 2012", bibsource = "http://comjnl.oxfordjournals.org/content/12/3.toc; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/compj1960.bib", URL = "http://comjnl.oxfordjournals.org/content/12/3/207-a.full.pdf+html", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } @InProceedings{Powell:1969:CSA, author = "M. J. D. Powell", title = "A comparison of spline approximations with classical interpolation methods. ({With} discussion)", crossref = "Morrell:1969:IPP", pages = "95--98", year = "1969", MRclass = "65.20", MRnumber = "255016", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @TechReport{Powell:1969:FSI, author = "M. J. D. Powell", title = "{Fortran} subroutine to invert a rectangular matrix of full rank", type = "Report", number = "AERE R 6072", institution = pub-TCD-AERE, address = pub-TCD-AERE:adr, pages = "13", year = "1969", bibdate = "Sat Nov 18 14:57:00 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1969:LDL, author = "M. J. D. Powell", title = "The Local Dependence of Least Squares Cubic Splines", journal = j-SIAM-J-NUMER-ANAL, volume = "6", number = "3", pages = "398--413", month = sep, year = "1969", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0706036", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65.20", MRnumber = "256536", MRreviewer = "J. W. Jerome", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @InProceedings{Powell:1969:MNC, author = "M. J. D. Powell", title = "A method for nonlinear constraints in minimization problems", crossref = "Fletcher:1969:OSI", pages = "283--298", year = "1969", MRclass = "90.58", MRnumber = "272403", MRreviewer = "A. G{\"o}pfert", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @TechReport{Powell:1969:ROM, author = "M. J. D. Powell", title = "Rank one methods for unconstrained optimization", type = "Report", number = "AERE TP 372", institution = pub-TCD-AERE, address = pub-TCD-AERE:adr, pages = "29", year = "1969", bibdate = "Sat Nov 18 15:02:02 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1969:TRO, author = "M. J. D. Powell", title = "A Theorem on Rank One Modifications to a Matrix and Its Inverse", journal = j-COMP-J, volume = "12", number = "3", pages = "288--290", month = aug, year = "1969", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/12.3.288", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", MRclass = "65.35", MRnumber = "245190", bibdate = "Tue Dec 4 14:47:43 MST 2012", bibsource = "http://comjnl.oxfordjournals.org/content/12/3.toc; http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_03/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/compj.bib; https://www.math.utah.edu/pub/tex/bib/compj1960.bib; Theory/Matrix.bib", URL = "http://comjnl.oxfordjournals.org/content/12/3/288.full.pdf+html; http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_03/120288.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_03/tiff/288.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_03/tiff/289.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_03/tiff/290.tif", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", classcodes = "C4140 (Linear algebra)", fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", keywords = "matrix algebra; nla, updating, inverse matrix; numerical methods", } @InCollection{Powell:1970:CFC, author = "M. J. D. Powell", title = "Curve Fitting by Cubic Splines", crossref = "Hayes:1970:NAF", pages = "65--83", year = "1970", bibdate = "Tue Aug 12 14:33:07 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", tableofcontents = "1. Introduction / 65 \\ 2. An outline of the algorithm / 67 \\ 3. The need for smoothing / 68 \\ 4. The linear parameters of $s(x)$ / 70 \\ 5. The test for trends / 72 \\ 6. The magnitude of the smoothing term / 74 \\ 7. Numerical examples / 79", } @InProceedings{Powell:1970:FSS, author = "M. J. D. Powell", editor = "Philip Rabinowitz", booktitle = "Numerical Methods for Nonlinear Algebraic Equations ({University of Essex, Colchester, January 6--7, 1969})", title = "A {Fortran} subroutine for solving systems of nonlinear algebraic equations", publisher = pub-GORDON-BREACH, address = pub-GORDON-BREACH:adr, bookpages = "xi + 199", pages = "115--161", year = "1970", ISBN = "0-677-14230-7", ISBN-13 = "978-0-677-14230-2", LCCN = "QA218 .N85 1988", MRclass = "65H10", MRnumber = "49 #8330b (343590)", MRreviewer = "J. E. Dennis, Jr.", bibdate = "Tue Dec 3 19:11:56 MST 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/fortran1.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", reviewer = "J. E. Dennis, Jr.", } @TechReport{Powell:1970:FSUa, author = "M. J. D. Powell", title = "A {FORTRAN} subroutine for unconstrained minimization, requiring first derivatives of the objective function", type = "Report", number = "AERE R6469", institution = pub-HMSO, address = pub-HMSO:adr, pages = "46", year = "1970", bibdate = "Sat Nov 18 14:48:12 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/fortran1.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @TechReport{Powell:1970:FSUb, author = "M. J. D. Powell", title = "A {FORTRAN} subroutine for unconstrained minimization, requiring first derivatives of the objective function", type = "Report", number = "AERE R6494", institution = pub-HMSO, address = pub-HMSO:adr, pages = "????", year = "1970", ISBN = "0-11-981135-9", ISBN-13 = "978-0-11-981135-3", bibdate = "Sat Nov 18 14:48:12 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/fortran1.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1970:HMN, author = "M. J. D. Powell", editor = "Philip Rabinowitz", booktitle = "Numerical Methods for Nonlinear Algebraic Equations ({University of Essex, Colchester, January 6--7, 1969})", title = "A hybrid method for nonlinear equations", publisher = pub-GORDON-BREACH, address = pub-GORDON-BREACH:adr, pages = "87--114", year = "1970", MRclass = "65H10", MRnumber = "343589", MRreviewer = "J. E. Dennis, Jr.", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @TechReport{Powell:1970:NAUa, author = "M. J. D. Powell", title = "A new algorithm for unconstrained optimization", type = "Report", number = "AERE TP 393", institution = pub-TCD-AERE, address = pub-TCD-AERE:adr, pages = "30", year = "1970", bibdate = "Sat Nov 18 15:02:02 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1970:NAUb, author = "M. J. D. Powell", title = "A new algorithm for unconstrained optimization", crossref = "Rosen:1970:NPP", pages = "31--65", year = "1970", MRclass = "65.30 (90.00)", MRnumber = "272162", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1970:ROM, author = "M. J. D. Powell", title = "Rank one methods for unconstrained optimization", crossref = "Abadie:1970:INP", pages = "139--156", year = "1970", MRclass = "65K05 (90C30)", MRnumber = "436589", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1970:SNM, author = "M. J. D. Powell", title = "A Survey of Numerical Methods for Unconstrained Optimization", journal = j-SIAM-REVIEW, volume = "12", number = "1", pages = "79--97", month = "????", year = "1970", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1012004", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65.30", MRnumber = "258253", MRreviewer = "W. Oettli", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "http://epubs.siam.org/toc/siread/12/1; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "SIAM Review. A Publication of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "January 1970", } @Article{Powell:1971:CVM, author = "M. J. D. Powell", title = "On the convergence of the variable metric algorithm", journal = j-J-INST-MATH-APPL, volume = "7", number = "1", pages = "21--36", month = feb, year = "1971", CODEN = "JMTAA8", DOI = "https://doi.org/10.1093/imamat/7.1.21", ISSN = "0020-2932", ISSN-L = "0020-2932", MRclass = "65.30", MRnumber = "43 #5698 (279977)", MRreviewer = "Y. Cherruault", bibdate = "Fri Apr 5 07:05:51 MST 2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib", ZMnumber = "0217.52804", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Journal of the Institute of Mathematics and its Applications", journal-URL = "http://imamat.oxfordjournals.org/content/by/year", } @Article{Powell:1971:DCA, author = "M. J. D. Powell and I. Barrodale and F. D. K. Roberts", title = "The differential correction algorithm for rational {$ L_\infty $} approximation", journal = j-LECT-NOTES-MATH, volume = "228", pages = "169--169", year = "1971", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0069455", ISBN = "3-540-05656-4 (print), 3-540-36976-7 (e-book)", ISBN-13 = "978-3-540-05656-0 (print), 978-3-540-36976-9 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", LCCN = "QA3 .L28 no. 228", bibdate = "Fri May 9 19:07:43 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/lnm1970.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0069455", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", book-DOI = "https://doi.org/10.1007/BFb0069442", book-URL = "http://www.springerlink.com/content/978-3-540-36976-9", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", } @Article{Powell:1971:RAU, author = "M. J. D. Powell", title = "Recent advances in unconstrained optimization", journal = j-MATH-PROG, volume = "1", number = "1", pages = "26--57", year = "1971", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01584071", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "65K05", MRnumber = "305596", MRreviewer = "A. Ben-Israel", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Barrodale:1972:DCA, author = "I. Barrodale and M. J. D. Powell and F. D. K. Roberts", title = "The differential correction algorithm for rational $ \ell_\infty $-approximation", journal = j-SIAM-J-NUMER-ANAL, volume = "9", number = "3", pages = "493--504", month = sep, year = "1972", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0709044", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65D15", MRnumber = "312685", MRreviewer = "Gerhard Merz", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Powell:1972:QTPa, author = "M. J. D. Powell", title = "Quadratic termination properties of minimization algorithms. {I}. {Statement} and discussion of results", journal = j-J-INST-MATH-APPL, volume = "10", number = "3", pages = "333--342", month = dec, year = "1972", CODEN = "JMTAA8", DOI = "https://doi.org/10.1093/imamat/10.3.333", ISSN = "0020-2932", ISSN-L = "0020-2932", MRclass = "65K05", MRnumber = "58 #13717a (494940)", MRreviewer = "V. V. Ivanov", bibdate = "Sat Apr 6 16:27:10 2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib", URL = "https://academic.oup.com/imamat/article-abstract/10/3/333/824259", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Journal of the Institute of Mathematics and its Applications", journal-URL = "http://imamat.oxfordjournals.org/content/by/year", } @Article{Powell:1972:QTPb, author = "M. J. D. Powell", title = "Quadratic termination properties of minimization algorithms. {II}. {Proofs} of theorems", journal = j-J-INST-MATH-APPL, volume = "10", number = "3", pages = "343--357", month = dec, year = "1972", CODEN = "JMTAA8", DOI = "https://doi.org/10.1093/imamat/10.3.343", ISSN = "0020-2932", ISSN-L = "0020-2932", MRclass = "65K05", MRnumber = "58 #13717b (494941)", MRreviewer = "V. V. Ivanov", bibdate = "Sat Apr 6 16:27:10 2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib", URL = "https://academic.oup.com/imamat/article-abstract/10/3/343/824267", ZMnumber = "0254.65047", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Journal of the Institute of Mathematics and its Applications", journal-URL = "http://imamat.oxfordjournals.org/content/by/year", } @InProceedings{Powell:1972:SPV, author = "M. J. D. Powell", editor = "F. A. Lootsma", booktitle = "{Numerical Methods for Non-Linear Optimization: Conference, Dundee, (28th June--1st July) 1971}", title = "Some properties of the variable metric algorithm", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, bookpages = "xiv + 440", pages = "1--17", year = "1972", ISBN = "0-12-455650-7", ISBN-13 = "978-0-12-455650-8", MRclass = "65K05", MRnumber = "381311", MRreviewer = "Claude Carasso", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @TechReport{Marlow:1973:FSP, author = "S. Marlow and M. J. D. Powell", title = "A {FORTRAN} Subroutine for Plotting a Cubic Spline Function", number = "R7470", institution = "AERE Harwell", address = "Harwell, Berkshire, UK", year = "1973", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/fortran1.bib; https://www.math.utah.edu/pub/tex/bib/siggraph/new/pre75.bib; https://www.math.utah.edu/pub/tex/bib/siggraph/pre75.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1973:BR, author = "M. J. D. Powell", title = "Book Review", journal = j-COMP-J, volume = "16", number = "1", pages = "45--45", month = "????", year = "1973", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/16.1.45", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Tue Dec 4 14:47:51 MST 2012", bibsource = "http://comjnl.oxfordjournals.org/content/16/1.toc; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/compj1970.bib", URL = "http://comjnl.oxfordjournals.org/content/16/1/45.full.pdf+html", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } @Article{Powell:1973:MSC, author = "M. J. D. Powell", title = "The {Mathematical Software Conference at Loughborough}", journal = j-SIGNUM, volume = "8", number = "3", pages = "4--4", month = jul, year = "1973", CODEN = "SNEWD6", DOI = "https://doi.org/10.1145/1218061", ISSN = "0163-5778 (print), 1558-0237 (electronic)", ISSN-L = "0163-5778", bibdate = "Tue Nov 23 14:42:43 2010", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/signum.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "ACM SIGNUM Newsletter", journal-URL = "https://dl.acm.org/loi/signum", } @Article{Powell:1973:SDM, author = "M. J. D. Powell", title = "On search directions for minimization algorithms", journal = j-MATH-PROG, volume = "4", pages = "193--201", year = "1973", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01584660", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30", MRnumber = "321541", MRreviewer = "K. Zimmermann", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Fletcher:1974:MF, author = "R. Fletcher and M. J. D. Powell", title = "On the modification of {$ L D L^T $} factorizations", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1067--1087", month = oct, year = "1974", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2005366", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F30", MRnumber = "359297", MRreviewer = "D. B. Hunter", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", classcodes = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "efficiency; error analysis; error propagation; LDL/sup T/ factorizations; matrices; matrix algebra; positive definite matrix; positive semidefinite", treatment = "T Theoretical or Mathematical", } @Article{Powell:1974:BR, author = "M. J. D. Powell", title = "Book Review", journal = j-COMP-J, volume = "17", number = "1", pages = "92--92", month = "????", year = "1974", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/17.1.92", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Tue Dec 4 14:47:53 MST 2012", bibsource = "http://comjnl.oxfordjournals.org/content/17/1.toc; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/compj1970.bib", URL = "http://comjnl.oxfordjournals.org/content/17/1/92.1.full.pdf+html", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } @InProceedings{Powell:1974:ICO, author = "M. J. D. Powell", title = "Introduction to constrained optimization", crossref = "Gill:1974:NMC", pages = "1--28", year = "1974", MRclass = "90C30 (65K05)", MRnumber = "459640", MRreviewer = "I. Norman Katz", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1974:PQS, author = "M. J. D. Powell", title = "Piecewise quadratic surface fitting for contour plotting", crossref = "Evans:1974:SNM", pages = "253--271", year = "1974", MRclass = "65D10", MRnumber = "362831", MRreviewer = "Gerhard Merz", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1974:UMA, author = "M. J. D. Powell", title = "Unconstrained minimization algorithms without computation of derivatives", journal = "Bolletino dell'Unione Matematica Italiana (4)", volume = "9", number = "2", pages = "60--69", year = "1974", MRclass = "65K05 (49D10)", MRnumber = "438715", MRreviewer = "Michael E. Thomas", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, ajournal = "Boll. Un. Mat. Ital. (4)", author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Bolletino dell'Unione Matematica Italiana (4)", } @InProceedings{Powell:1974:UME, author = "M. J. D. Powell", editor = "A. S. Concalves and P. L. Hammer and G. Zoutendijk", booktitle = "Mathematical programming in theory and practice ({Proc. NATO Adv. Study Inst., Figueira da Foz, 1972})", title = "Unconstrained minimization and extensions for constraints", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, bookpages = "viii + 482", pages = "31--79", year = "1974", ISBN = "0-444-10741-X, 0-7204-2819-X", ISBN-13 = "978-0-444-10741-1, 978-0-7204-2819-3", LCCN = "QA402.5 .N811 1974; T57.8 .M3", MRclass = "65K05", MRnumber = "519686", MRreviewer = "Claude Carasso", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Brodlie:1975:CCJ, author = "K. W. Brodlie and M. J. D. Powell", title = "On the Convergence of Cyclic {Jacobi} Methods", journal = j-J-INST-MATH-APPL, volume = "15", number = "3", pages = "279--287", month = jun, year = "1975", CODEN = "JMTAA8", DOI = "https://doi.org/10.1093/imamat/15.3.279", ISSN = "0020-2932", ISSN-L = "0020-2932", MRclass = "65F15", MRnumber = "51 #9451 (373250)", bibdate = "Sat Apr 6 16:27:10 2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/Matrix.bib; https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Journal of the Institute of Mathematics and its Applications", journal-URL = "http://imamat.oxfordjournals.org/content/by/year", kwds = "nla, eig, Jacobi's method", xxnote = "Cited in \cite{govl:89}.", } @InProceedings{Powell:1975:CPC, author = "M. J. D. Powell", editor = "Olvi Leon Mangasarian and Robert R. Meyer and Stephen M. Robinson", booktitle = "{Nonlinear programming 2. Proceedings of the Special Interest Group on Mathematical Programming of the Association for Computing Machinery conducted by the Computer Sciences Department at the University of Wisconsin, Madison, Wisconsin, April 15--17, 1974}", title = "Convergence properties of a class of minimization algorithms", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, bookpages = "ix + 361", pages = "1--27", year = "1975", ISBN = "0-12-468650-8 (vol. 2), 0-12-468660-3 (vol. 3), 0-12-468662-1 (vol. 4)", ISBN-13 = "978-0-12-468650-2 (vol. 2), 978-0-12-468662-5 (vol. 4)", LCCN = "T57.8 .S9 1975", MRclass = "65K05 (90C30)", MRnumber = "386270", MRreviewer = "R. P. Brent", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", xxauthor = "Judah Ben Rosen and Olvi L. Mangasarian", xxeditor = "Olivi L. Magasarian and Robert R. Meyer and Stephen M. Robinson", } @InProceedings{Powell:1975:MSL, author = "M. J. D. Powell", editor = "B. L. Hartnell and H. C. Williams", booktitle = "Proceedings of the {Fourth Manitoba Conference on Numerical Mathematics: (Winnipeg), October 2--5, 1974}", title = "The minimax solution of linear equations subject to bounds on the variables", volume = "XII", publisher = pub-UTIL-MATH, address = pub-UTIL-MATH:adr, pages = "53--107", year = "1975", ISBN = "0-919628-12-5", ISBN-13 = "978-0-919628-12-0", MRclass = "65K05", MRnumber = "455398", MRreviewer = "V. F. Dem\cprime yanov", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Congress. Numer.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", xxeditor = "Ralph G. Stanton", } @Article{Powell:1975:VUM, author = "M. J. D. Powell", title = "A View of Unconstrained Minimization Algorithms That Do Not Require Derivatives", journal = j-TOMS, volume = "1", number = "2", pages = "97--107", month = jun, year = "1975", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355637.355638", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65K05", MRnumber = "53 #14908 (411169)", MRreviewer = "R. P. Brent", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @InProceedings{Gaffney:1976:OI, author = "P. W. Gaffney and M. J. D. Powell", title = "Optimal Interpolation", crossref = "Watson:1976:NA", pages = "90--99", year = "1976", DOI = "https://doi.org/10.1007/BFb0080117", MRclass = "41A05", MRnumber = "458001", MRreviewer = "T. J. Rivlin", bibdate = "Fri Jan 12 11:37:56 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/lnm1975.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0080117/", acknowledgement = ack-jr # "and " # ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1976:BR, author = "M. J. D. Powell", title = "Book Review", journal = j-COMP-J, volume = "19", number = "3", pages = "245--245", month = "????", year = "1976", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/19.3.245-a", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Tue Dec 4 14:47:58 MST 2012", bibsource = "http://comjnl.oxfordjournals.org/content/19/3.toc; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/compj1970.bib", URL = "http://comjnl.oxfordjournals.org/content/19/3/245.2.full.pdf+html", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } @Article{Powell:1976:SCP, author = "M. J. D. Powell", title = "Some convergence properties of the conjugate gradient method", journal = j-MATH-PROG, volume = "11", number = "1", pages = "42--49", year = "1976", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01580369", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "65K05", MRnumber = "440918", MRreviewer = "Bernard Lemaire", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @InProceedings{Powell:1976:SGC, author = "M. J. D. Powell", editor = "Richard W. Cottle and Carlton E. Lemke", booktitle = "Nonlinear programming ({Proceedings of the Symposium, New York City, March 23--24, 1975})", title = "Some global convergence properties of a variable metric algorithm for minimization without exact line searches", volume = "IX", publisher = pub-AMS, address = pub-AMS:adr, bookpages = "vii + 200", pages = "53--72", year = "1976", ISBN = "0-8218-1329-3", ISBN-13 = "978-0-8218-1329-4", LCCN = "T57.8 .N66", MRclass = "65K05 (90C30)", MRnumber = "426428", MRreviewer = "Jochem Zowe", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "SIAM-AMS Proc.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1976:VUO, author = "M. J. D. Powell", title = "A view of unconstrained optimization", crossref = "Dixon:1976:OAP", pages = "117--152", year = "1976", MRclass = "65K05", MRnumber = "431680", MRreviewer = "M. A. Wolfe", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", mynote = "Interesting comments on optn research, BFGS vs DFP, cgce results.", } @InProceedings{Hopper:1977:TGS, author = "M. J. Hopper and M. J. D. Powell", title = "A technique that gains speed and accuracy in the minimax solution of overdetermined linear equations", crossref = "Rice:1977:MSI", pages = "15--33", year = "1977", MRclass = "65F20", MRnumber = "483360", MRreviewer = "A. Lee", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Publication of the Mathematics Research Center, University of Wisconsin", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1977:F, author = "M. J. D. Powell", title = "Foreword", crossref = "Powell:1977:CDJ", pages = "vii--??", year = "1977", bibdate = "Tue Nov 21 17:29:42 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", subject-dates = "James H. Wilkinson (27 September 1919--5 October 1986)", } @InProceedings{Powell:1977:NMF, author = "M. J. D. Powell", title = "Numerical methods for fitting functions of two variables", crossref = "Jacobs:1977:SAN", pages = "563--604", year = "1977", MRclass = "65D10 (41A05)", MRnumber = "455284", MRreviewer = "Christopher Caldwell", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1977:PQA, author = "M. J. D. Powell and M. A. Sabin", title = "Piecewise Quadratic Approximations on Triangles", journal = j-TOMS, volume = "3", number = "4", pages = "316--325", month = dec, year = "1977", CODEN = "ACMSCU", DOI = "https://doi.org/10.1145/355759.355761", ISSN = "0098-3500 (print), 1557-7295 (electronic)", ISSN-L = "0098-3500", MRclass = "65D15", MRnumber = "58 #3319 (483304)", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "ACM Transactions on Mathematical Software (TOMS)", journal-URL = "https://dl.acm.org/loi/toms", } @Article{Powell:1977:QTP, author = "M. J. D. Powell", title = "Quadratic termination properties of {Davidon}'s new variable metric algorithm", journal = j-MATH-PROG, volume = "12", number = "1", pages = "141--147", year = "1977", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01593779", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "65K05", MRnumber = "471306", MRreviewer = "Claude Carasso", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Powell:1977:RPC, author = "M. J. D. Powell", title = "Restart procedures for the conjugate gradient method", journal = j-MATH-PROG, volume = "12", number = "2", pages = "241--254", year = "1977", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01593790", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "65K05 (90C30)", MRnumber = "478622", MRreviewer = "Claude Carasso", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Powell:1978:ANC, author = "M. J. D. Powell", title = "Algorithms for nonlinear constraints that use {Lagrangian} functions", journal = j-MATH-PROG, volume = "14", number = "2", pages = "224--248", year = "1978", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01588967", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (65K05)", MRnumber = "469283", MRreviewer = "Albert Buckley", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @InProceedings{Powell:1978:CVM, author = "M. J. D. Powell", title = "The convergence of variable metric methods for nonlinearly constrained optimization calculations", crossref = "Mangasarian:1978:CVM", pages = "27--63", year = "1978", MRclass = "90C30 (65K05)", MRnumber = "507858", MRreviewer = "Pierre Loridan", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1978:FAN, author = "M. J. D. Powell", title = "A fast algorithm for nonlinearly constrained optimization calculations", crossref = "Watson:1978:NAP", pages = "144--157", year = "1978", DOI = "https://doi.org/10.1007/BFb0067703", MRclass = "65K05", MRnumber = "0483447 (58 \#3448)", MRreviewer = "Y. Cherruault", bibdate = "Fri May 9 19:08:02 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/lnm1975.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0067703/", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1979:ANC, author = "M. J. D. Powell", title = "Algorithms for nonlinear constraints that use {Lagrangian} functions", crossref = "Prekopa:1979:SMP", pages = "513--537", year = "1979", MRclass = "90C30", MRnumber = "580483", MRreviewer = "Maretsugu Yamasaki", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1979:ESH, author = "M. J. D. Powell and Ph. L. Toint", title = "On the Estimation of Sparse {Hessian} Matrices", journal = j-SIAM-J-NUMER-ANAL, volume = "16", number = "6", pages = "1060--1074", month = dec, year = "1979", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0716078", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65D25 (65K10)", MRnumber = "80m:65013 (551326)", MRreviewer = "A. Barraud", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; JSTOR database", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @InCollection{Powell:1979:NA, author = "M. J. D. Powell", booktitle = "25 years of Theoretical Physics 1954--1979: A special progress report from {Theoretical Physics Division, Harwell} in recognition of the 25th anniversary of the {U.K. Atomic Energy Authority}", title = "Numerical Analysis", chapter = "XVIII", publisher = "Harwell Research Laboratory", address = "Harwell, UK", bookpages = "iv + iv + 273", pages = "207--214", year = "1979", bibdate = "Tue Aug 12 13:53:35 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "Report TP.843.", URL = "https://www.chilton-computing.org.uk/ChiltonCatalog/1980.25.years.of.theoretical.physics/1980.25.years.of.theoretical.physics.pdf", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", remark = "25 authors contributed to the report, and no editor is credited.", } @PhdThesis{Powell:1979:U, author = "Michael J. D. Powell", title = "[unknown]", type = "{Sc.D.} dissertation", school = "Cambridge University", address = "Cambridge, UK", year = "1979", bibdate = "Sat Nov 18 14:41:00 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", remark = "According to \cite[p. 8]{Cartis:2015:OMP}, the degree was awarded based on a collection of published papers by MJDP on approximation theory. In \cite[p. 6]{Davis:2005:MJD}, Davis says ``Did you have an advisor for your thesis or for this particular work that you submitted?'', and Powell responds ``No, the procedure for getting a ScD degree was to submit published work, so I simply put a collection of papers into an envelope. My examiners were Jim Wilkinson and Leslie Fox, and I'm quite proud of that.''", } @InProceedings{Powell:1979:VMM, author = "M. J. D. Powell", title = "Variable metric methods for constrained optimization", crossref = "Glowinski:1979:CMA", pages = "62--72", year = "1979", DOI = "https://doi.org/10.1007/BFb0063615", MRclass = "90C30", MRnumber = "540107 (80e:90100)", MRreviewer = "Andrew R. Conn", bibdate = "Fri May 9 19:08:03 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/lnm1975.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0063615/", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1980:DCT, author = "M. J. D. Powell and F. D. K. Roberts", title = "A discrete characterization theorem for the discrete {$ L_1 $} linear approximation problem", journal = j-J-APPROX-THEORY, volume = "30", number = "3", pages = "173--179", year = "1980", CODEN = "JAXTAZ", DOI = "https://doi.org/10.1016/0021-9045(80)90004-0", ISSN = "0021-9045 (print), 1096-0430 (electronic)", ISSN-L = "0021-9045", MRclass = "41A50 (41A45)", MRnumber = "613874", MRreviewer = "Martin Bartelt", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Journal of Approximation Theory", journal-URL = "http://www.sciencedirect.com/science/journal/00219045", } @InProceedings{Powell:1980:GCL, author = "M. J. D. Powell", title = "Gradient conditions and {Lagrange} multipliers in nonlinear programming", crossref = "Dixon:1980:NOT", pages = "201--220", year = "1980", MRclass = "90C30 (65K10)", MRnumber = "586577", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1980:VMM, author = "M. J. D. Powell", title = "Variable metric methods for constrained optimization", crossref = "Dixon:1980:NOT", pages = "279--294", year = "1980", MRclass = "65K10 (49D30)", MRnumber = "586580", MRreviewer = "Aur{\'e}l Gal\'{a}ntai", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Iserles:1981:ARA, author = "A. Iserles and M. J. D. Powell", title = "On the {$A$}-acceptability of rational approximations that interpolate the exponential function", journal = j-IMA-J-NUMER-ANAL, volume = "1", number = "3", pages = "241--251", month = jul, year = "1981", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/1.3.241", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65D15 (30E10)", MRnumber = "83a:65015 (641308)", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; MathSciNet database", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Martin:1981:DCP, author = "D. H. Martin and M. J. D. Powell and D. H. Jacobson", title = "On a decomposition of conditionally positive-semidefinite matrices", journal = j-LINEAR-ALGEBRA-APPL, volume = "39", number = "??", pages = "51--59", month = aug, year = "1981", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/0024-3795(81)90289-5", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A48 (15A63)", MRnumber = "83b:15013 (625236)", MRreviewer = "O. Pokorn\'{a}", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/linala1980.bib", URL = "http://www.sciencedirect.com/science/article/pii/0024379581902895", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", } @Article{Morton:1981:E, author = "K. W. Morton and M. J. D. Powell", title = "Editorial", journal = j-IMA-J-NUMER-ANAL, volume = "1", number = "1", pages = "1--1", month = jan, year = "1981", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/1.1.1", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65F20", MRnumber = "83a:65038", bibdate = "Tue Dec 26 12:48:59 2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib", URL = "https://academic.oup.com/imajna/article-abstract/1/1/1/686928", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", remark = "From the first paragraph: ``The First issue of JIMA (Journal of the Institute of Mathematics and its Applications) was published in 1965, and since 1971 about half of its papers have been on numerical analysis, due to a decision by the British Computer Society in 1969 to reduce greatly the number of numerical analysis papers in the Computer Journal. This first issue of IMAJNA (IMA Journal of Numerical Analysis) is due to another important change: instead of JIMA, the Institute of Mathematics and its Applications now publishes separately the IMA Journal of Applied Mathematics and IMAJNA \ldots{} ''", } @Book{Powell:1981:ATM, author = "M. J. D. Powell", title = "Approximation Theory and Methods", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, bookpages = "x + 339", pages = "x + 339", year = "1981", ISBN = "0-521-22472-1", ISBN-13 = "978-0-521-22472-7", LCCN = "QA221 .P65", MRclass = "41-01 (65-01)", MRnumber = "604014", MRreviewer = "D. D. Stancu", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1981:ECF, author = "M. J. D. Powell", title = "An example of cycling in a feasible point algorithm", journal = j-MATH-PROG, volume = "20", number = "3", pages = "353--357", year = "1981", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01589358", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C20 (90C30)", MRnumber = "612628", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Powell:1981:NQN, author = "M. J. D. Powell", title = "A note on quasi-{Newton} formulae for sparse second derivative matrices", journal = j-MATH-PROG, volume = "20", number = "2", pages = "144--151", year = "1981", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01589341", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (65K10)", MRnumber = "607402", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Powell:1981:STP, author = "M. J. D. Powell and Ph. L. Toint", title = "The {Shanno--Toint} procedure for updating sparse symmetric matrices", journal = j-IMA-J-NUMER-ANAL, volume = "1", number = "4", pages = "403--413", month = oct, year = "1981", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/1.4.403", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65K05", MRnumber = "83d:65191 (641318)", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; MathSciNet database", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @InProceedings{Powell:1981:UTM, author = "M. J. D. Powell", editor = "Olvi L. Mangasarian and Robert R. Meyer and Stephen M. Robinson", booktitle = "{Nonlinear programming 4: proceedings of the Nonlinear Programming Symposium 4: University of Wisconsin--Madison, July 14--16, 1980}", title = "An upper triangular matrix method for quadratic programming", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, bookpages = "ix + 549", pages = "1--24", year = "1981", ISBN = "0-12-468662-1", ISBN-13 = "978-0-12-468662-5", LCCN = "T57.8 .N67 1980", MRclass = "90C20", MRnumber = "663374", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Chamberlain:1982:WTF, author = "R. M. Chamberlain and M. J. D. Powell and C. Lemarechal and H. C. Pedersen", title = "The watchdog technique for forcing convergence in algorithms for constrained optimization", journal = j-MATH-PROG-STUDY, number = "16", pages = "1--17", year = "1982", CODEN = "MPSTDF", DOI = "https://doi.org/10.1007/bfb0120945", ISSN = "0303-3929", ISSN-L = "0303-3929", MRclass = "90C30 (49D37 65K05)", MRnumber = "650626", MRreviewer = "L. Grippo", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming Study", } @InProceedings{Cullinan:1982:DSD, author = "M. P. Cullinan and M. J. D. Powell", title = "Data smoothing by divided differences", crossref = "Watson:1982:NAP", pages = "26--37", year = "1982", DOI = "https://doi.org/10.1007/BFb0093146", MRclass = "65D10", MRnumber = "654340 (83f:65016)", MRreviewer = "A. Olevski{\u\i}", bibdate = "Fri May 9 19:07:38 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/lnm1980.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0093146/", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Ge:1983:CVM, author = "Ren Pu Ge and M. J. D. Powell", title = "The convergence of variable metric matrices in unconstrained optimization", journal = j-MATH-PROG, volume = "27", number = "2", pages = "123--143", year = "1983", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF02591941", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30", MRnumber = "718055", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @InProceedings{Powell:1983:GAD, author = "M. J. D. Powell", title = "General algorithms for discrete nonlinear approximation calculations", crossref = "Chui:1983:ATP", pages = "187--218", year = "1983", MRclass = "65K05 (49D37)", MRnumber = "754346", MRreviewer = "C. A. Botsaris", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1983:VMM, author = "M. J. D. Powell", title = "Variable metric methods for constrained optimization", crossref = "Bachem:1983:MPS", pages = "288--311", year = "1983", MRclass = "90C30 (65K05)", MRnumber = "717405", MRreviewer = "Andrew R. Conn", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Haavie:1984:AGE, author = "T. H{\aa}vie and M. J. D. Powell", title = "An application of {Gaussian} elimination to interpolation by generalized rational functions", crossref = "Graves-Morris:1984:RAI", pages = "442--452", year = "1984", DOI = "https://doi.org/10.1007/BFb0072431", MRclass = "41A20", MRnumber = "783293", MRreviewer = "D. C. Gilles", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1984:CSC, author = "M. J. D. Powell and Y. Yuan", title = "Conditions for superlinear convergence in $ l_1 $ and $ l_{\infty } $ solutions of overdetermined nonlinear equations", journal = j-IMA-J-NUMER-ANAL, volume = "4", number = "2", pages = "241--251", month = apr, year = "1984", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/4.2.241", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65H10 (65K05)", MRnumber = "85h:65117 (744482)", MRreviewer = "J. W. Schmidt", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; MathSciNet database", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Powell:1984:GCT, author = "M. J. D. Powell", title = "On the global convergence of trust region algorithms for unconstrained minimization", journal = j-MATH-PROG, volume = "29", number = "3", pages = "297--303", year = "1984", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF02591998", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (65K10)", MRnumber = "753758", MRreviewer = "D. J. van Wyk", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Powell:1984:NMC, author = "M. J. D. Powell", booktitle = "Numerical analysis ({Dundee}, 1983)", title = "Nonconvex minimization calculations and the conjugate gradient method", journal = j-LECT-NOTES-MATH, volume = "1066", publisher = pub-SV, address = pub-SV:adr, pages = "122--141", year = "1984", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0099521", ISBN = "3-540-13344-5 (print), 3-540-38881-8 (e-book)", ISBN-13 = "978-3-540-13344-5 (print), 978-3-540-38881-4 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", LCCN = "QA3 .L28 no.1066", MRclass = "49D07 (65K10 90C30)", MRnumber = "760460 (85g:49035)", MRreviewer = "Vincen{\c{t}}iu Dumitru", bibdate = "Fri May 9 19:07:44 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/lnm1980.bib", series = ser-LECT-NOTES-MATH, URL = "http://link.springer.com/chapter/10.1007/BFb0099521/", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", book-DOI = "https://doi.org/10.1007/BFb0099514", book-URL = "http://www.springerlink.com/content/978-3-540-38881-4", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", } @InProceedings{Powell:1984:RCV, author = "M. J. D. Powell", title = "On the rate of convergence of variable metric algorithms for unconstrained optimization", crossref = "Ciesielski:1980:PIC", pages = "1525--1539", year = "1984", MRclass = "90C30 (49D37 65K10)", MRnumber = "804794", MRreviewer = "J. Stoer", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1985:PTS, author = "M. J. D. Powell", title = "The performance of two subroutines for constrained optimization on some difficult test problems", crossref = "Boggs:1985:NOP", pages = "160--177", year = "1985", MRclass = "65K05 (90C20)", MRnumber = "802089", MRreviewer = "M. C. Cheng", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1985:QPA, author = "M. J. D. Powell", title = "On the quadratic programming algorithm of {Goldfarb} and {Idnani}", journal = j-MATH-PROG-STUDY, number = "25", pages = "46--61", year = "1985", CODEN = "MPSTDF", DOI = "https://doi.org/10.1007/bfb0121074", ISSN = "0303-3929", ISSN-L = "0303-3929", MRclass = "90C20", MRnumber = "821007", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "Mathematical programming, II", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming Study", } @Article{Powell:1986:CPA, author = "M. J. D. Powell", title = "Convergence Properties of Algorithms for Nonlinear Optimization", journal = j-SIAM-REVIEW, volume = "28", number = "4", pages = "487--500", month = dec, year = "1986", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1028154", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "49D37 (49D10 65K10 90C30)", MRnumber = "88b:49050 (867680)", MRreviewer = "Vincen{\c{t}}iu Dumitru", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/28/4; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "This paper reviews some of the most successful methods for unconstrained, constrained and nondifferentiable optimization calculations. Particular attention is given to the contribution that theoretical analysis has made to the development of algorithms. It seems that practical considerations provide the main new ideas, and that subsequent theoretical studies give improvements to algorithms, coherence to the subject, and better understanding.", acknowledgement = ack-nhfb, affiliationaddress = "Univ of Cambridge, Cambridge, Engl", author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", classification = "723; 921", fjournal = "SIAM Review. A Publication of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/sirev", journalabr = "SIAM Rev", keywords = "computer programming --- Algorithms; conjugate gradients; constrained optimization; convergence; mathematical programming, nonlinear; nonlinear optimization; optimization", onlinedate = "December 1986", } @Article{Powell:1986:HBB, author = "M. J. D. Powell", title = "How Bad are the {BFGS} and {DFP} Methods when the Objective Function is Quadratic?", journal = j-MATH-PROG, volume = "34", number = "1", pages = "34--47", year = "1986", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01582161", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (65K05)", MRnumber = "819873", MRreviewer = "T. L. Freeman", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @InProceedings{Powell:1986:MNC, author = "M. J. D. Powell", booktitle = "Proceedings of the first international seminar on operational research of the {Basque Provinces (Zarauz, 1986)}", title = "Methods for nonlinear constraints in optimization calculations", publisher = "Universidad Pais Vasco", address = "Bilbao, Spain", pages = "55--95", year = "1986", MRclass = "90C30 (65K05)", MRnumber = "923121", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", xxISBN = "none (??)", } @Article{Powell:1986:RQP, author = "M. J. D. Powell and Y. Yuan", title = "A recursive quadratic programming algorithm that uses differentiable exact penalty functions", journal = j-MATH-PROG, volume = "35", number = "3", pages = "265--278", year = "1986", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01580880", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C20", MRnumber = "850374", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Cheney:1987:DCA, author = "E. W. Cheney and M. J. D. Powell", title = "The differential correction algorithm for generalized rational functions", journal = j-CONST-APPROX, volume = "3", number = "3", pages = "249--256", year = "1987", DOI = "https://doi.org/10.1007/BF01890568", ISSN = "0176-4276 (print), 1432-0940 (electronic)", ISSN-L = "0176-4276", MRclass = "65D15 (41A25)", MRnumber = "898079", MRreviewer = "G. Opfer", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Constructive Approximation. An International Journal for Approximations and Expansions", journal-URL = "http://link.springer.com/journal/365", } @Article{Powell:1987:EGB, author = "M. J. D. Powell", title = "On Error Growth in the {Bartels--Golub} and {Fletcher--Matthews} Algorithms for Updating Matrix Factorizations", journal = j-LINEAR-ALGEBRA-APPL, volume = "88--89", number = "??", pages = "597--621", month = "????", year = "1987", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/0024-3795(87)90127-3", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "65F05 (65G05 65K05)", MRnumber = "89c:65039 (882465)", MRreviewer = "Alfonso Laratta", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/linala1980.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", subject-dates = "Gene Howard Golub (February 29, 1932--November 16, 2007)", xxpages = "597--621", } @InProceedings{Powell:1987:MNC, author = "M. J. D. Powell", title = "Methods for nonlinear constraints in optimization calculations", crossref = "Iserles:1987:SAN", pages = "325--357", year = "1987", MRclass = "90C30 (49D07 49D29 49D30 49D40 65K10)", MRnumber = "921671", MRreviewer = "Robert W. Owens", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Inst. Math. Appl. Conf. Ser. New Ser.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1987:RBF, author = "M. J. D. Powell", title = "Radial basis functions for multivariable interpolation: a review", crossref = "Mason:1987:AAB", pages = "143--167", year = "1987", MRclass = "41A05 (41A63 65D05)", MRnumber = "911311", MRreviewer = "Mariano Gasca", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Inst. Math. Appl. Conf. Ser. New Ser.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1987:UCD, author = "M. J. D. Powell", title = "Updating Conjugate Directions by the {BFGS} Formula", journal = j-MATH-PROG, volume = "38", number = "1", pages = "29--46", year = "1987", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF02591850", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (65K05)", MRnumber = "899007", MRreviewer = "K. Schittkowski", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Chamberlain:1988:FLL, author = "R. M. Chamberlain and M. J. D. Powell", title = "{$ Q R $} factorization for linear least-squares problems on a hypercube multiprocessor", journal = j-IMA-J-NUMER-ANAL, volume = "8", number = "4", pages = "401--413", month = oct, year = "1988", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/8.4.401", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65F20 (65W05)", MRnumber = "89k:65042 (975603)", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; MathSciNet database", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Powell:1988:AME, author = "M. J. D. Powell", title = "An algorithm for maximizing entropy subject to simple bounds", journal = j-MATH-PROG, volume = "42", number = "1", pages = "171--180", year = "1988", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01589401", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C50", MRnumber = "949670", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @InProceedings{Powell:1988:RAN, author = "M. J. D. Powell", title = "A review of algorithms for nonlinear equations and unconstrained optimization", crossref = "McKenna:1988:IPF", pages = "220--232", year = "1988", MRclass = "65Hxx (58C30 65K05 90C30)", MRnumber = "976860", MRreviewer = "Victor Ivanov", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1988:RBF, author = "M. J. D. Powell", editor = "D. F. (David Francis) Griffiths and G. A. Watson", booktitle = "Numerical analysis 1987 ({Dundee}, 1987)", title = "Radial basis function approximations to polynomials", volume = "170", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, bookpages = "300", pages = "223--241", year = "1988", ISBN = "0-582-02157-X", ISBN-13 = "978-0-582-02157-0", LCCN = "QA297.N828 1988", MRclass = "41A25 (41A30 41A63)", MRnumber = "951930", MRreviewer = "R. Franke", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", price = "US\$54.95", series = "Pitman research notes in mathematics series", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", bibno = "54996", catcode = "G.1.2; G.1.2; G.1.9; G.1.1; G.3; G.1.7", CRclass = "G.1.2 Approximation; G.1.2 Elementary function approximation; G.1.2 Approximation; G.1.2 Spline and piecewise polynomial approximation; G.1.9 Integral Equations; G.1.9 Integro-differential equations; G.1.1 Interpolation; G.1.1 Spline and piecewise polynomial interpolation; G.3 Statistical computing; G.1.7 Ordinary Differential Equations; G.1.7 Convergence and stability", descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Elementary function approximation; Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Spline and piecewise polynomial approximation; Mathematics of Computing, NUMERICAL ANALYSIS, Integral Equations, Integro-differential equations; Mathematics of Computing, NUMERICAL ANALYSIS, Interpolation, Spline and piecewise polynomial interpolation; Mathematics of Computing, PROBABILITY AND STATISTICS, Statistical computing; Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary Differential Equations, Convergence and stability", genterm = "algorithms; performance", guideno = "1988-01246", remark = "TO DO: is author M. J. D. Powell?", subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.3 PROBABILITY AND STATISTICS", waffil = "University of Dundee; University of Dundee", } @InProceedings{Powell:1989:MFL, author = "M. J. D. Powell", editor = "M. J. C. Gover and S. Barnett", booktitle = "{Applications of matrix theory: based on the proceedings of a conference organized by the Institute of Mathematics and its Applications on Applications of Matrix Theory, held in the University of Bradford in July, 1988}", title = "On a matrix factorization for linearly constrained optimization problems", volume = "22", publisher = pub-OXFORD, address = pub-OXFORD:adr, bookpages = "xiii + 324", pages = "83--100", year = "1989", ISBN = "0-19-853625-9", ISBN-13 = "978-0-19-853625-3", LCCN = "QA188 .A745 1989", MRclass = "65K05 (90C30)", MRnumber = "1041067", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Inst. Math. Appl. Conf. Ser. New Ser.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1989:TAL, author = "M. J. D. Powell", title = "A tolerant algorithm for linearly constrained optimization calculations", journal = j-MATH-PROG, volume = "45", number = "3", pages = "547--566", year = "1989", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01589118", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C05 (65K05)", MRnumber = "1038247", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @InProceedings{Buhmann:1990:RBF, author = "M. D. Buhmann and M. J. D. Powell", title = "Radial basis function interpolation on an infinite regular grid", crossref = "Mason:1990:AAI", pages = "146--169", year = "1990", MRclass = "65D05", MRnumber = "1071976", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1990:KAV, author = "M. J. D. Powell", title = "{Karmarkar}'s algorithm: a view from nonlinear programming", journal = j-BULL-INST-MATH-APPL, volume = "26", number = "8--9", pages = "165--181", year = "1990", CODEN = "IMTABW", ISSN = "0905-5628", MRclass = "90C05 (90C30)", MRnumber = "1078472", MRreviewer = "J{\"u}rgen Guddat", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Bulletin of the Institute of Mathematics and its Applications", } @Article{Powell:1990:TRA, author = "M. J. D. Powell and Y. Yuan", title = "A trust region algorithm for equality constrained optimization", journal = j-MATH-PROG, volume = "49", number = "2", pages = "189--211", year = "1990/91", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01588787", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (65K10)", MRnumber = "1087453", MRreviewer = "D. J. van Wyk", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @InProceedings{Powell:1990:UMA, author = "M. J. D. Powell", title = "Univariate multiquadric approximation: reproduction of linear polynomials", crossref = "Haussmann:1990:MAI", pages = "227--240", year = "1990", DOI = "https://doi.org/10.1007/978-3-0348-5685-0_17", MRclass = "41A25", MRnumber = "1111939", MRreviewer = "Zong Min Wu", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1990:UMC, author = "M. J. D. Powell", title = "The updating of matrices of conjugate directions in optimization algorithms", crossref = "Griffiths:1990:NAP", volume = "228", pages = "193--205", year = "1990", MRclass = "65K10 (90C30)", MRnumber = "1124462", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Pitman Res. Notes Math. Ser.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Demetriou:1991:LSS, author = "I. C. Demetriou and M. J. D. Powell", title = "Least squares smoothing of univariate data to achieve piecewise monotonicity", journal = j-IMA-J-NUMER-ANAL, volume = "11", number = "3", pages = "411--432", month = jul, year = "1991", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/11.3.411", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65D10", MRnumber = "92f:65021 (1118965)", MRreviewer = "Zong Min Wu", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; MathSciNet database", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Demetriou:1991:MSS, author = "I. C. Demetriou and M. J. D. Powell", title = "The minimum sum of squares change to univariate data that gives convexity", journal = j-IMA-J-NUMER-ANAL, volume = "11", number = "3", pages = "433--448", month = jul, year = "1991", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/11.3.433", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65D10", MRnumber = "92f:65022 (1118966)", MRreviewer = "Zong Min Wu", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; MathSciNet database", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @TechReport{Powell:1991:KMS, author = "M. J. D. Powell", title = "Is {Karmarkar}'s method suitable for semi-infinite programming?", type = "{Talk held at the Symposium APMOD '91 --- Applied Mathematical Programming and Modelling, Brunel University, London, UK}", institution = "University of Cambridge", address = "Cambridge, UK", month = jan, year = "1991", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1991:UMI, author = "M. J. D. Powell", editor = "Pierre-Jean Laurent and Larry L. Schumaker and Alain {Le M{\'e}haut{\'e}}", booktitle = "Curves and Surfaces [Papers from the First International Conference on Curves and Surfaces, held June 21--27, 1990 in Chamonix-Mont-Blanc]", title = "Univariate multiquadric interpolation: some recent results", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, bookpages = "xviii + 514", pages = "371--382", year = "1991", ISBN = "0-12-438660-1", ISBN-13 = "978-0-12-438660-0", LCCN = "QA221 .C87 1991", MRclass = "65D05", MRnumber = "1123762", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Beatson:1992:UIR, author = "R. K. Beatson and M. J. D. Powell", title = "Univariate interpolation on a regular finite grid by a multiquadric plus a linear polynomial", journal = j-IMA-J-NUMER-ANAL, volume = "12", number = "1", pages = "107--133", year = "1992", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/12.1.107", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65D05", MRnumber = "93e:65015 (1152688)", MRreviewer = "K. B{\"o}hmer", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; MathSciNet database", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Beatson:1992:UMA, author = "R. K. Beatson and M. J. D. Powell", title = "Univariate multiquadric approximation: quasi-interpolation to scattered data", journal = j-CONST-APPROX, volume = "8", number = "3", pages = "275--288", year = "1992", DOI = "https://doi.org/10.1007/BF01279020", ISSN = "0176-4276 (print), 1432-0940 (electronic)", ISSN-L = "0176-4276", MRclass = "41A63 (41A05)", MRnumber = "1164070", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Constructive Approximation. An International Journal for Approximations and Expansions", journal-URL = "http://link.springer.com/journal/365", } @InProceedings{Powell:1992:CKA, author = "M. J. D. Powell", booktitle = "Numerical analysis 1991 ({Dundee}, 1991)", title = "The complexity of {Karmarkar}'s algorithm for linear programming", crossref = "Griffiths:1992:NAP", volume = "260", pages = "142--163", year = "1992", MRclass = "90C05 (65K05 65Y20)", MRnumber = "1177233", MRreviewer = "Panos M. Pardalos", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Pitman Res. Notes Math. Ser.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1992:IPM, author = "M. J. D. Powell", title = "Interior point methods for semi-infinite programming calculations", crossref = "Lam:1992:OTA", pages = "3--5", year = "1992", DOI = "https://doi.org/10.1080/00396339208442638", MRclass = "90C33 (90C05)", MRnumber = "1183228", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1992:LBM, author = "M. J. D. Powell", editor = "Elias A. Lipitakis", booktitle = "Hellenic research in mathematics and informatics '92 ({Athens}, 1992)", title = "Log barrier methods for semi-infinite programming calculations", publisher = "Hellenic Mathematical Society", address = "Athens, Greece", pages = "23--43", year = "1992", ISBN = "none (??)", ISBN-13 = "none (??)", MRclass = "90C33 (49M30)", MRnumber = "1381227", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1992:TRB, author = "M. J. D. Powell", title = "The theory of radial basis function approximation in 1990", crossref = "Light:1992:ANA", pages = "105--210", year = "1992", MRclass = "41A30 (41A63 65D15)", MRnumber = "1172121", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1992:TTP, author = "M. J. D. Powell", editor = "Dietrich Braess and Larry L. Schumaker", booktitle = "Numerical Methods in Approximation Theory, Vol. 9 [{Mathematisches Forschungsinstitut, Oberwolfach, November 24--30, 1991}]", title = "Tabulation of thin plate splines on a very fine two-dimensional grid", volume = "105", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, bookpages = "xiv + 357", pages = "221--244", year = "1992", DOI = "https://doi.org/10.1007/978-3-0348-8619-2_13", ISBN = "3-7643-2746-4", ISBN-13 = "978-3-7643-2746-0", LCCN = "QA221 .N84 1992", MRclass = "65D20 (65D07)", MRnumber = "1269364", MRreviewer = "Leslie R. T. Gardner", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Internat. Ser. Numer. Math.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1993:NIK, author = "M. J. D. Powell", title = "On the number of iterations of {Karmarkar}'s algorithm for linear programming", journal = j-MATH-PROG, volume = "62", number = "1", pages = "153--197", year = "1993", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01585165", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C05", MRnumber = "1247612", MRreviewer = "Romesh Saigal", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Powell:1993:TLE, author = "M. J. D. Powell", title = "Truncated {Laurent} expansions for the fast evaluation of thin plate splines", journal = j-NUMER-ALGORITHMS, volume = "5", number = "1--4", pages = "99--120", month = nov, year = "1993", CODEN = "NUALEG", DOI = "https://doi.org/10.1007/BF02212042", ISSN = "1017-1398 (print), 1572-9265 (electronic)", ISSN-L = "1017-1398", MRclass = "65D07 (41A15)", MRnumber = "95a:65025 (1258588)", MRreviewer = "Ewald Quak", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib", note = "Algorithms for approximation, {III} ({Oxford}, 1992)", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Numerical Algorithms", journal-URL = "http://link.springer.com/journal/11075", } @InProceedings{Beatson:1994:IMT, author = "R. K. Beatson and M. J. D. Powell", editor = "David Francis Griffiths and George Alistair Watson", booktitle = "Numerical analysis 1993 ({Dundee}, 1993)", title = "An iterative method for thin plate spline interpolation that employs approximations to {Lagrange} functions", volume = "303", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "17--39", year = "1994", ISBN = "0-582-22568-X", ISBN-13 = "978-0-582-22568-8", LCCN = "QA1 R424 v. 303; QA297 .D85 1993; QA297 .P76", MRclass = "65D07 (41A15)", MRnumber = "1267753", MRreviewer = "Bernard Bialecki", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Pitman Res. Notes Math. Ser.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1994:DSO, author = "M. J. D. Powell", editor = "Susana Gomez and J. P. (Jean Pierre) Hennart", booktitle = "{Advances in optimization and numerical analysis: proceedings of the Sixth Workshop on Optimization and Numerical Analysis, Oaxaca, Mexico, 1992}", title = "A direct search optimization method that models the objective and constraint functions by linear interpolation", volume = "275", publisher = pub-KLUWER, address = pub-KLUWER:adr, bookpages = "vii + 285", pages = "51--67", year = "1994", ISBN = "0-7923-2673-3", ISBN-13 = "978-0-7923-2673-1", LCCN = "QA402.5 .W68 1992", MRclass = "90C30 (65K05)", MRnumber = "1282734", MRreviewer = "Robert W. Owens", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Math. Appl.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1994:SAT, author = "M. J. D. Powell", editor = "H. P. Dikshit and Charles A. Micchelli", booktitle = "{Proceedings of the Conference on Advances in Computational Mathematics: New Delhi, India, January 5--9, 1993}", title = "Some algorithms for thin plate spline interpolation to functions of two variables", volume = "4", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, bookpages = "xiv + 319", pages = "303--319", year = "1994", ISBN = "981-02-1633-5", ISBN-13 = "978-981-02-1633-7", LCCN = "QA221 .C66 1993", MRclass = "65D07 (65D17)", MRnumber = "1338857", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Ser. Approx. Decompos.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1994:UCT, author = "M. J. D. Powell", title = "The uniform convergence of thin plate spline interpolation in two dimensions", journal = j-NUM-MATH, volume = "68", number = "1", pages = "107--128", month = jun, year = "1994", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050051", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A25 (41A15 65D07)", MRnumber = "95c:41037 (1278451)", MRreviewer = "A. H. {\v{Z}}ilinskas", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680107.htm; http://science.springer.de/nmee/bibs/4068001/40680107.htm", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Appl. Math. and Theor. Phys., Cambridge Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "2D interpolation; Cauchy--Schwarz inequality; convergence of numerical methods; convex hull; error; error analysis; integration; integration by parts; interpolation; interpolation point; least Euclidean distance; splines (mathematics); square integrable second derivatives; thin plate spline interpolation; uniform convergence; variational calculation", treatment = "T Theoretical or Mathematical", } @InProceedings{Powell:1995:ASS, author = "M. J. D. Powell", editor = "Morten D{\"u}hlen and Tom Lyche and Larry L. Schumaker", booktitle = "Mathematical Methods for Curves and Surfaces [{Papers from an international conference, June 16--21, 1994, in Ulvik, Norway}]", title = "An algorithm that straightens and smooths piecewise linear curves in two dimensions", publisher = "Vanderbilt University Press", address = "Nashville, TN, USA", bookpages = "xviii + 578", pages = "439--453", year = "1995", ISBN = "0-8265-1268-2", ISBN-13 = "978-0-8265-1268-0", LCCN = "QA565 .M37 1995", MRclass = "65Y25 (65D17)", MRnumber = "1356986", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1995:SCP, author = "M. J. D. Powell", title = "Some convergence properties of the modified log barrier method for linear programming", journal = j-SIAM-J-OPT, volume = "5", number = "4", pages = "695--739", month = nov, year = "1995", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/0805035", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C05 (65K05)", MRnumber = "MR1358802 (96m:90035)", MRreviewer = "Henry Wolkowicz", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/siamjopt.bib; MathSciNet database", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @InProceedings{Beatson:1996:MTT, author = "R. K. Beatson and G. Goodsell and M. J. D. Powell", title = "On multigrid techniques for thin plate spline interpolation in two dimensions", crossref = "Renegar:1996:MNA", volume = "32", pages = "77--97", year = "1996", MRclass = "65D07 (41A15 65D05 65F10)", MRnumber = "1421331", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", keywords = "AMS; applied mathematics; numerical analysis; SIAM", xxpages = "77--98", } @InProceedings{Powell:1996:RAT, author = "M. J. D. Powell", editor = "F. Fontanella and K. Jetter and Pierre Jean Laurent", booktitle = "{Advanced topics in multivariate approximation: proceedings of the international workshop: Montecatini Terme, Italy, September 27--October 3, 1995}", title = "A review of algorithms for thin plate spline interpolation in two dimensions", volume = "8", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, bookpages = "xvi + 361", pages = "303--322", year = "1996", ISBN = "981-02-2852-X", ISBN-13 = "978-981-02-2852-1", LCCN = "QA297.5 .A28 1996", MRclass = "65D07 (41A15 41A63)", MRnumber = "1661418", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Ser. Approx. Decompos.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Powell:1996:TPS, author = "M. J. D. Powell", editor = "Robert L. May and Alan K. Easton", booktitle = "Computational techniques and applications: {CTAC95} ({Melbourne}, 1995)", title = "A thin plate spline method for mapping curves into curves in two dimensions", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "43--57", year = "1996", ISBN = "981-02-2820-1", ISBN-13 = "978-981-02-2820-0", LCCN = "QA299.6 .I56 1995", MRclass = "65D17 (90C30)", MRnumber = "1664839", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Demetriou:1997:LSF, author = "I. C. Demetriou and M. J. D. Powell", title = "Least squares fitting to univariate data subject to restrictions on the signs of the second differences", crossref = "Buhmann:1997:ATO", pages = "109--132", year = "1997", MRclass = "65D10", MRnumber = "1601695", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1997:NIA, author = "M. J. D. Powell", title = "A new iterative algorithm for thin plate spline interpolation in two dimensions", journal = j-ANN-NUM-MATH, volume = "4", number = "1--4", pages = "519--527", year = "1997", ISSN = "1021-2655", ISSN-L = "1021-2655", MRclass = "65D07 (65D05)", MRnumber = "1422701", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "The heritage of P. L. Chebyshev: a Festschrift in honor of the 70th birthday of T. J. Rivlin.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Annals of Numerical Mathematics", } @InProceedings{Powell:1997:RMM, author = "M. J. D. Powell", title = "A Review of Methods for Multivariable Interpolation at Scattered Data Points", crossref = "Duff:1997:SAN", pages = "283--309", year = "1997", MRclass = "65D05 (41A05)", MRnumber = "1628350", MRreviewer = "Ming Gen Cui", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Inst. Math. Appl. Conf. Ser. New Ser.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", keywords = "IMA; mathematics; numerical analysis", xxpages = "283--310", } @Article{Powell:1998:DSA, author = "M. J. D. Powell", booktitle = "Acta numerica, 1998", title = "Direct Search Algorithms for Optimization Calculations", journal = j-ACTA-NUMERICA, volume = "7", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "287--336", year = "1998", CODEN = "ANUMFU", DOI = "https://doi.org/10.1017/S0962492900002841", ISBN = "0-521-64316-3", ISBN-13 = "978-0-521-64316-0", ISSN = "0962-4929 (print), 1474-0508 (electronic)", ISSN-L = "0962-4929", LCCN = "QA279 .A327 1998", MRclass = "90C56 (65K05)", MRnumber = "1689435", MRreviewer = "K. Schittkowski", bibdate = "Sat Sep 24 10:23:37 MDT 2011", bibsource = "ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/actanumerica.bib", series = "Acta Numer.", acknowledgement = ack-nhfb, ajournal = "Acta Numer.", author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Acta Numerica", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU", onlinedate = "07 November 2008", } @InProceedings{Powell:1998:TRC, author = "M. J. D. Powell", editor = "D. F. Griffiths and D. J. Higham and G. A. Watson", booktitle = "Numerical analysis 1997 ({Dundee})", title = "Trust region calculations revisited", volume = "380", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "193--211", year = "1998", ISBN = "0-582-31261-2", ISBN-13 = "978-0-582-31261-6", LCCN = "QA297 .D85 1997", MRclass = "90C20 (65K05)", MRnumber = "1636959", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Pitman Res. Notes Math. Ser.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:1998:TSA, author = "M. J. D. Powell", title = "A ``taut string algorithm'' for straightening a piecewise linear path in two dimensions", journal = j-IMA-J-NUMER-ANAL, volume = "18", number = "1", pages = "1--35", month = jan, year = "1998", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/18.1.1", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65D10 (65Y20)", MRnumber = "99a:65021 (1492046)", MRreviewer = "Juan Jos{\'e} Torrens", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; MathSciNet database", URL = "http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/180001.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_01/pdf/180001.pdf", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @InProceedings{Powell:1998:UBM, author = "M. J. D. Powell", editor = "Ya-xiang Yuan", booktitle = "{Advances in nonlinear programming: [proceedings of the 96 International Conference on Nonlinear Programming: September 2--5, 1996, Institute of Computational Mathematics and Scientific\slash Engineering Computing, Chinese Academy of Sciences, Beijing, China]}", title = "The use of band matrices for second derivative approximations in trust region algorithms", volume = "14", publisher = pub-KLUWER, address = pub-KLUWER:adr, bookpages = "xiii + 351", pages = "3--28", year = "1998", DOI = "https://doi.org/10.1007/978-1-4613-3335-7_1", ISBN = "0-7923-5053-7", ISBN-13 = "978-0-7923-5053-8", LCCN = "T57.8 .I58 1996", MRclass = "90C30 (65F30)", MRnumber = "1639865", MRreviewer = "Yin Zhang", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Appl. Optim.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Faul:1999:PCI, author = "A. C. Faul and M. J. D. Powell", title = "Proof of convergence of an iterative technique for thin plate spline interpolation in two dimensions", journal = j-ADV-COMPUT-MATH, volume = "11", number = "2--3", pages = "183--192", month = nov, year = "1999", CODEN = "ACMHEX", DOI = "https://doi.org/10.1023/A:1018923925800", ISSN = "1019-7168 (print), 1572-9044 (electronic)", ISSN-L = "1019-7168", MRclass = "65D07 (41A15 65D10)", MRnumber = "1731696", MRreviewer = "Peter Alfeld", bibdate = "Sat Feb 3 18:22:00 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/advcomputmath.bib", note = "Radial basis functions and their applications", URL = "http://link.springer.com/article/10.1023/A:1018923925800", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Advances in Computational Mathematics", journal-URL = "http://link.springer.com/journal/10444", } @Article{Powell:1999:OWM, author = "M. J. D. Powell", title = "An optimal way of moving a sequence of points onto a curve in two dimensions", journal = j-COMP-OPTIM-APPL, volume = "13", number = "1--3", pages = "163--185", year = "1999", CODEN = "CPPPEF", DOI = "https://doi.org/10.1023/A:1008617208706", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "65D10 (41A29 68U10 90C90)", MRnumber = "1704118", MRreviewer = "Ian Gladwell", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "Computational optimization --- a tribute to Olvi Mangasarian, Part II", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/10589", } @InProceedings{Powell:1999:RRC, author = "M. J. D. Powell", editor = "Manfred W. M{\"u}ller and Michael Felten and Detlef H. Mache", booktitle = "New developments in approximation theory: {2nd International Dortmund Meeting (IDoMAT) '98, Germany, February 23--27, 1998}", title = "Recent research at {Cambridge} on radial basis functions", volume = "132", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, bookpages = "344", pages = "215--232", year = "1999", ISBN = "3-7643-6143-3", ISBN-13 = "978-3-7643-6143-3", LCCN = "QA221 .I55 1998", MRclass = "41-02 (41A30 65D15 90C90)", MRnumber = "1724921", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Internat. Ser. Numer. Math.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Faul:2000:KSM, author = "A. C. Faul and M. J. D. Powell", title = "{Krylov} subspace methods for radial basis function interpolation", crossref = "Watson:2000:NAD", pages = "115--141", year = "2000", MRclass = "65D20 (41A30 65F10 93E24)", MRnumber = "1751115", MRreviewer = "Donald Myers", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Chapman \& Hall/CRC Res. Notes Math.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:2000:CDA, author = "M. J. D. Powell", title = "On the convergence of the {DFP} algorithm for unconstrained optimization when there are only two variables", journal = j-MATH-PROG, volume = "87", number = "2", pages = "281--301", year = "2000", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s101070050115", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (65K05)", MRnumber = "1763853", MRreviewer = "K. Schittkowski", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "Studies in algorithmic optimization", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming. A Publication of the Mathematical Programming Society", journal-URL = "http://link.springer.com/journal/10107", } @Article{Powell:2001:LFQ, author = "M. J. D. Powell", title = "On the {Lagrange} functions of quadratic models that are defined by interpolation", journal = j-OPTIM-METHODS-SOFTW, volume = "16", number = "1--4", pages = "289--309", year = "2001", DOI = "https://doi.org/10.1080/10556780108805839", ISSN = "1026-7670 (print), 1055-6788 (electronic)", ISSN-L = "1026-7670", MRclass = "90C30 (65K05 90C46)", MRnumber = "1869985", MRreviewer = "Bernard Lemaire", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "Dedicated to Professor Laurence C. W. Dixon on the occasion of his 65th birthday.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Optimization Methods and Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @Book{Paul:2002:CTM, author = "M. Dzh. D. Pau{\bud{l}}", title = "{{\cyr Teoriya i Metodi za Aproksimatsiya}}", volume = "5", publisher = "Fondatsiya ``B\bud Lgarski Institut Za Analizi I Prouchvaniya''", address = "Sofia, Bulgaria", edition = "{English}", pages = "x + 379", year = "2002", ISBN = "954-9526-14-3 (paperback)", ISBN-13 = "978-954-9526-14-1 (paperback)", LCCN = "QA221 .P651 2002", MRclass = "41-01 (65-01)", MRnumber = "2010156", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "With supplementary references by Mikhail Konstantinov.", series = "{\cyr Studii na BIAP. Matematicheski Nauki} [Studies of the Bulgarian Institute of Analysis and Research. Mathematical Sciences]", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:2002:UUO, author = "M. J. D. Powell", title = "{UOBYQA}: unconstrained optimization by quadratic approximation", journal = j-MATH-PROG, volume = "92", number = "3", pages = "555--582", year = "2002", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s101070100290", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C55 (90C56)", MRnumber = "1905766", MRreviewer = "Paul H. Calamai", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "ISMP 2000, Part 2 (Atlanta, GA)", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming. A Publication of the Mathematical Programming Society", journal-URL = "http://link.springer.com/journal/10107", } @Article{Powell:2003:TRM, author = "M. J. D. Powell", title = "On trust region methods for unconstrained minimization without derivatives", journal = j-MATH-PROG, volume = "97", number = "3", pages = "605--623", year = "2003", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-003-0430-6", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C56 (90C30)", MRnumber = "2008125", MRreviewer = "G. R. Wood", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "New trends in optimization and computational algorithms (NTOC 2001) (Kyoto)", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming. A Publication of the Mathematical Programming Society", journal-URL = "http://link.springer.com/journal/10107", } @Article{Powell:2004:LFN, author = "M. J. D. Powell", title = "Least {Frobenius} norm updating of quadratic models that satisfy interpolation conditions", journal = j-MATH-PROG, volume = "100", number = "1", pages = "183--215", year = "2004", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-003-0490-7", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C56 (41A63 90C20)", MRnumber = "2072931", MRreviewer = "Wu Li", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming. A Publication of the Mathematical Programming Society", journal-URL = "http://link.springer.com/journal/10107", } @Article{Powell:2004:UQM, author = "M. J. D. Powell", title = "On the use of quadratic models in unconstrained minimization without derivatives", journal = j-OPTIM-METHODS-SOFTW, volume = "19", number = "3--4", pages = "399--411", year = "2004", DOI = "https://doi.org/10.1080/10556780410001661450", ISSN = "1026-7670 (print), 1055-6788 (electronic)", ISSN-L = "1026-7670", MRclass = "90C55 (90C56)", MRnumber = "2064256", MRreviewer = "Ya Xiang Yuan", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "The First International Conference on Optimization Methods and Software. Part II", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Optimization Methods \& Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @Article{Faul:2005:KSA, author = "A. C. Faul and G. Goodsell and M. J. D. Powell", title = "A {Krylov} subspace algorithm for multiquadric interpolation in many dimensions", journal = j-IMA-J-NUMER-ANAL, volume = "25", number = "1", pages = "1--24", month = jan, year = "2005", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/drh021", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65D05", MRnumber = "2110232", MRreviewer = "David R. Hill", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "http://imanum.oxfordjournals.org/content/vol25/issue1/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib", URL = "http://imanum.oupjournals.org/cgi/content/abstract/25/1/1; http://imanum.oupjournals.org/cgi/reprint/25/1/1", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @InProceedings{Powell:2006:NSU, author = "M. J. D. Powell", title = "The {NEWUOA} software for unconstrained optimization without derivatives", crossref = "DiPillo:2006:NSU", pages = "255--297", year = "2006", DOI = "https://doi.org/10.1007/0-387-30065-1_16", MRclass = "90C56 (90-04)", MRnumber = "2194578", MRreviewer = "Min Sun", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Beatson:2007:FEP, author = "R. K. Beatson and M. J. D. Powell and A. M. Tan", title = "Fast evaluation of polyharmonic splines in three dimensions", journal = j-IMA-J-NUMER-ANAL, volume = "27", number = "3", pages = "427--450", month = jul, year = "2007", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/drl027", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65D07", MRnumber = "MR2337575 (2009c:65029)", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "http://imanum.oxfordjournals.org/content/vol27/issue3/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib", URL = "http://imajna.oxfordjournals.org/cgi/content/abstract/27/3/427; http://imajna.oxfordjournals.org/cgi/reprint/27/3/427", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", keywords = "fast multipole method", } @Article{Powell:2007:VAO, author = "M. J. D. Powell", title = "A view of algorithms for optimization without derivatives", journal = j-MATH-TODAY, volume = "43", number = "5", pages = "170--174", year = "2007", ISSN = "1361-2042", ISSN-L = "1361-2042", MRclass = "90C56", MRnumber = "2355494", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematics Today", journal-URL = "http://ima.org.uk/activities/publications/mathematics_today.cfm.html", } @Article{Powell:2008:DNM, author = "M. J. D. Powell", title = "Developments of {NEWUOA} for minimization without derivatives", journal = j-IMA-J-NUMER-ANAL, volume = "28", number = "4", pages = "649--664", month = oct, year = "2008", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/drm047", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "90C56 (65K10)", MRnumber = "2457340", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "http://imanum.oxfordjournals.org/content/vol28/issue4/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib", URL = "http://imajna.oxfordjournals.org/cgi/content/abstract/28/4/649", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Powell:2008:FDA, author = "Michael Powell and Syvert N{\o}rsett", title = "Foreword [{Dedicated} to {Arieh Iserles} on the occasion of his sixtieth birthday]", journal = j-FOUND-COMPUT-MATH, volume = "8", number = "3", pages = "287--290", year = "2008", DOI = "https://doi.org/10.1007/s10208-007-9020-y", ISSN = "1615-3375 (print), 1615-3383 (electronic)", ISSN-L = "1615-3375", MRclass = "65-06 (01A70)", MRnumber = "2413144", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Foundations of Computational Mathematics. The Journal of the Society for the Foundations of Computational Mathematics", journal-URL = "http://link.springer.com/journal/10208", } @Article{Powell:2010:CWR, author = "M. J. D. Powell", title = "On the convergence of a wide range of trust region methods for unconstrained optimization", journal = j-IMA-J-NUMER-ANAL, volume = "30", number = "1", pages = "289--301", month = jan, year = "2010", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/drp021", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "90C53 (65K10 90C30)", MRnumber = "2580560", MRreviewer = "Andrea Walther", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "http://imanum.oxfordjournals.org/content/vol30/issue1/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib", URL = "http://imajna.oxfordjournals.org/cgi/content/abstract/30/1/289; http://imajna.oxfordjournals.org/cgi/reprint/30/1/289", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @InProceedings{Powell:2010:NOS, author = "M. J. D. Powell", title = "On nonlinear optimization since 1959", crossref = "Bultheel:2010:BNA", pages = "141--160", year = "2010", MRclass = "90-03 (01A60 65-03 65K05 65K10 90C30)", MRnumber = "2604145", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Powell:2012:CTR, author = "M. J. D. Powell", title = "On the convergence of trust region algorithms for unconstrained minimization without derivatives", journal = j-COMP-OPTIM-APPL, volume = "53", number = "2", pages = "527--555", year = "2012", CODEN = "CPPPEF", DOI = "https://doi.org/10.1007/s10589-012-9483-x", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "90C56 (90C26)", MRnumber = "2988172", MRreviewer = "Ana Luisa Cust\'{o}dio", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/10589", } @Article{Powell:2013:BSB, author = "M. J. D. Powell", title = "Beyond symmetric {Broyden} for updating quadratic models in minimization without derivatives", journal = j-MATH-PROG, volume = "138", number = "1--2", pages = "475--500", year = "2013", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-011-0510-y", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C56 (65K10 90C30)", MRnumber = "3034814", MRreviewer = "Sven-\AA ke Gustafson", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Powell:2014:LMS, author = "M. J. D. Powell", title = "The {Lagrange} method and {SAO} with bounds on the dual variables", journal = j-OPTIM-METHODS-SOFTW, volume = "29", number = "2", pages = "224--238", year = "2014", DOI = "https://doi.org/10.1080/10556788.2013.822497", ISSN = "1026-7670 (print), 1055-6788 (electronic)", ISSN-L = "1026-7670", MRclass = "90C30 (49M29 90C46)", MRnumber = "3175483", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Optimization Methods \& Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @Article{Powell:2015:FTR, author = "M. J. D. Powell", title = "On fast trust region methods for quadratic models with linear constraints", journal = j-MATH-PROGRAM-COMPUT, volume = "7", number = "3", pages = "237--267", year = "2015", DOI = "https://doi.org/10.1007/s12532-015-0084-4", ISSN = "1867-2949 (print), 1867-2957 (electronic)", ISSN-L = "1867-2957", MRclass = "65K05 (49M37 90C20 90C26 90C56)", MRnumber = "3384936", MRreviewer = "Stefan M. Stefanov", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", fjournal = "Mathematical Programming Computation", journal-URL = "http://link.springer.com/journal/12532", } %%% ==================================================================== %%% Part 2: Publications about Michael J. D. Powell and his works %%% %%% The Powell optimization methods have wide applicability in %%% engineering and science, so this section can only give a flavor of %%% some of the publications that refer to M. J. D. Powell. @Article{Andrew:1969:CCO, author = "A. M. Andrew", title = "Correspondence: The calculation of orthogonal vectors", journal = j-COMP-J, volume = "12", number = "4", pages = "411--411", month = nov, year = "1969", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/12.4.411", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Fri Sep 29 08:51:40 MDT 2000", bibsource = "http://www3.oup.co.uk/computer_journal/hdb/Volume_12/Issue_04/; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/compj.bib", note = "See \cite{Powell:1968:COV}.", URL = "https://academic.oup.com/comjnl/article/12/4/411/358450", acknowledgement = ack-nhfb, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Sasson:1969:CUP, author = "Albert M. Sasson", title = "Combined Use of the {Powell} and {Fletcher--Powell} Nonlinear Programming Methods for Optimal Load Flows", journal = j-IEEE-TRANS-POWER-APPAR-SYST, volume = "PAS-88", number = "10", pages = "1530--1537", year = "1969", CODEN = "IEPSA9", DOI = "https://doi.org/10.1109/TPAS.1969.292281", ISSN = "0018-9510", ISSN-L = "0018-9510", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Power Appar. Syst.", fjournal = "IEEE Transactions on Power Apparatus and Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=10669", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Burmeister:1973:KFP, author = "W. Burmeister", title = "{Die konvergenzordnung des Fletcher--Powell algorithmus}. ({German}) [{The} convergence order of the {Fletcher--Powell} Algorithm]", journal = j-Z-ANGE-MATH-MECH, volume = "53", number = "10", pages = "693--699", month = "????", year = "1973", CODEN = "ZAMMAX", DOI = "https://doi.org/10.1002/zamm.19730531007", ISSN = "0044-2267 (print), 1521-4001 (electronic)", ISSN-L = "0044-2267", bibdate = "Tue Aug 12 11:24:50 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", URL = "https://onlinelibrary.wiley.com/doi/10.1002/zamm.19730531007", acknowledgement = ack-nhfb, fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001", language = "German", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015); Roger Fletcher (29 January 1939--15 July 2016)", } @Article{Billinton:1976:FPA, author = "R. Billinton and S. S. Sachdeva", title = "The {Fletcher--Powell} approach for large power system optimization", journal = j-CAN-ELECTR-ENG-J, volume = "1", number = "2", pages = "17--23", year = "1976", CODEN = "CEEJDY", DOI = "https://doi.org/10.1109/CEEJ.1976.6830805", ISSN = "0700-9216", ISSN-L = "0700-9216", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, ajournal = "Can. Electr. Eng. J.", fjournal = "Canadian Electrical Engineering Journal = Revue canadienne de g{\'e}nie {\'e}lectrique", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6449389", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Chui:1982:BRA, author = "Charles K. Chui", title = "Book Review: {{\booktitle{Approximation Theory and Methods}} (M. J. D. Powell)}", journal = j-SIAM-REVIEW, volume = "24", number = "4", pages = "493--494", month = oct, year = "1982", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1024118", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Mar 29 09:53:32 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/24/4; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "October 1982", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{El-Hawary:1982:OOFa, author = "M. E. El-Hawary and J. K. Landrigan", title = "Optimum Operation of Fixed-Head Hydro-Thermal Electric Power Systems: {Powell}'s Hybrid Method Versus {Newton--Raphson} Method", journal = j-IEEE-POWER-ENG-REV, volume = "PER-2", number = "3", pages = "17--18", year = "1982", CODEN = "IPERDV", DOI = "https://doi.org/10.1109/MPER.1982.5520311", ISSN = "0272-1724 (print), 1558-1705 (electronic)", ISSN-L = "0272-1724", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Power Eng. Rev.", fjournal = "IEEE Power Engineering Review", journal-URL = "https://ieeexplore.ieee.org/document/4310983", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{El-Hawary:1982:OOFb, author = "M. E. El-Hawary and J. K. Landrigan", title = "Optimum Operation of Fixed-Head Hydro-Thermal Electric Power Systems: {Powell}'s Hybrid Method Versus {Newton--Raphson} Method", journal = j-IEEE-TRANS-POWER-APPAR-SYST, volume = "PAS-101", number = "3", pages = "547--554", year = "1982", CODEN = "IEPSA9", DOI = "https://doi.org/10.1109/TPAS.1982.317267", ISSN = "0018-9510", ISSN-L = "0018-9510", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Power Apparatus and Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=10669", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{More:1982:NOS, author = "J. J. Mor{\'e}", title = "Notes on optimization software", crossref = "Powell:1982:NOP", pages = "339--352", year = "1982", bibdate = "Mon Jul 11 13:28:25 MDT 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Martins-Camelo:1986:LAB, author = "L. Martins-Camelo and Y. Patenaude and G. Seguin", editor = "{IEEE}", booktitle = "{1986 Antennas and Propagation Society International Symposium [Wyndham Franklin Plaza Hotel, Philadelphia, PA, USA, June 8--13, 1986]}", title = "Linear array beam shaping using {Fletcher--Powell} optimization", volume = "24", publisher = pub-IEEE, address = pub-IEEE:adr, bookpages = "vi + 1044 (2 volumes)", pages = "395--398", year = "1986", DOI = "https://doi.org/10.1109/APS.1986.1149772", LCCN = "TK7871.6.A15 1986", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "IEEE Catalog No. 86CH2325-9.", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", xxISBN = "none", } @InProceedings{Fletcher:1987:RDL, author = "R. Fletcher", title = "Recent developments in linear and quadratic programming", crossref = "Iserles:1987:SAN", pages = "213--243 (especially 219--224)", year = "1987", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Griffiths:1987:BRB, author = "David F. Griffiths", title = "Book Review: {{\booktitle{The State of the Art in Numerical Analysis, 1986}}: A. Iserles and M. J. D. Powell, eds., IMA Conference Series (New Series), Clarendon Press, Oxford, 1987. ISBN 0-19-853614-3. \pounds 55 (hard cover)}", journal = j-COMP-PHYS-COMM, volume = "47", number = "2--3", pages = "365--366", month = nov # "\slash " # dec, year = "1987", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(87)90122-6", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 10:28:21 MST 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib", URL = "http://www.sciencedirect.com/science/article/pii/0010465587901226", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Higham:1987:NLA, author = "Nicholas J. Higham and G. W. Stewart", title = "Numerical Linear Algebra in Statistical Computing", crossref = "Iserles:1987:SAN", pages = "41--57", year = "1987", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", acknowledgement = ack-nhfb, editor-dates = "Michael James David Powell (29 July 1936--19 April 2015)", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Kahan:1987:BCC, author = "W. Kahan", title = "Branch Cuts for Complex Elementary Functions or Much Ado About Nothing's Sign Bit", crossref = "Iserles:1987:SAN", pages = "165--211", year = "1987", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", acknowledgement = ack-nhfb, } @InProceedings{Reid:1987:SM, author = "J. K. Reid", title = "Sparse Matrices", crossref = "Iserles:1987:SAN", pages = "59--85", year = "1987", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", acknowledgement = ack-nhfb, } @InProceedings{Wilkinson:1987:EP, author = "J. H. Wilkinson", title = "Eigenvalue Problems", crossref = "Iserles:1987:SAN", pages = "1--39", year = "1987", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", acknowledgement = ack-nhfb, } @Article{DAmore:1994:NPM, author = "D. D'Amore and P. Maffezzoni and M. Pillan", title = "A {Newton--Powell} modification algorithm for harmonic balance-based circuit analysis", journal = j-IEEE-TRANS-CIRCUITS-SYST-I-FUNDAM-THEORY-APPL, volume = "41", number = "2", pages = "177--180", year = "1994", CODEN = "ITCAEX", DOI = "https://doi.org/10.1109/81.269057", ISSN = "1057-7122 (print), 1558-1268 (electronic)", ISSN-L = "1057-7122", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, ajournal = "IEEE trans. circuits syst. I, Fundam. theory appl.", fjournal = "IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications", journal-URL = "https://ieeexplore.ieee.org/servlet/opac?punumber=81", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Mizutani:1999:PDT, author = "E. Mizutani", editor = "Shun-Ichi Amari", booktitle = "{IJCNN'99. International Joint Conference on Neural Networks. Proceedings (July 10--16, 1999, Washington, DC)}", title = "{Powell}'s dogleg trust-region steps with the quasi-{Newton} augmented {Hessian} for neural nonlinear least-squares learning", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, bookpages = "6 volumes (lxii + 4439 + 12)", pages = "1239--1244 vol.2", year = "1999", DOI = "https://doi.org/10.1109/IJCNN.1999.831138", ISBN = "0-7803-5529-6 (softbound), 0-7803-5530-X (casebound), 0-7803-5531-8 (Microfiche)", ISBN-13 = "978-0-7803-5529-3 (softbound), 978-0-7803-5530-9 (casebound), 978-0-7803-5531-6 (Microfiche)", LCCN = "QA76.87.I577 1999", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "IEEE catalog number 99CH36339.", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Takahama:1999:LFC, author = "T. Takahama and S. Sakai", editor = "{IEEE}", booktitle = "{FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315)}", title = "Learning fuzzy control rules by a constrained {Powell}'s method", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "650--655 vol.2", year = "1999", DOI = "https://doi.org/10.1109/FUZZY.1999.793019", ISBN = "0-7803-5406-0 (softbound), 0-7803-5407-9 (casebound), 0-7803-5408-7 (microfiche)", ISBN-13 = "978-0-7803-5406-7 (softbound), 978-0-7803-5407-4 (casebound), 978-0-7803-5408-1 (microfiche)", LCCN = "QA248 .I33 1999", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Vanraes:2002:DSR, author = "E. Vanraes and J. Windmolders and A. Bultheel and P. Dierckx", editor = "{IEEE}", booktitle = "Proceedings Sixth International Conference on Information Visualisation", title = "Dyadic and $ \sqrt {3}$-subdivision for uniform {Powell--Sabin} splines", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "639--643", year = "2002", DOI = "https://doi.org/10.1109/IV.2002.1028842", ISBN = "0-7695-1656-4 (paperback)", ISBN-13 = "978-0-7695-1656-1 (paperback)", LCCN = "TK7882.I6 I673 2002", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Abid:2003:NFM, author = "S. Abid and F. Fnaiech", editor = "Sven Lon{\c{c}}ari{\c{c}} and Alessandro Neri and Hrvoje Babi{\v{c}}", booktitle = "Proceedings of the 3rd International Symposium on Image and Signal Processing and Analysis, 2003. {ISPA 2003}", title = "A new fast multilayer perceptron training procedure based on the {Davidon Fletcher Powell} algorithm", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "123--127 Vol.1", year = "2003", DOI = "https://doi.org/10.1109/ISPA.2003.1296880", ISBN = "953-184-061-X (vol. 1), 953-184-062-8 (vol. 2)", ISBN-13 = "978-953-184-061-3 (vol. 1), 978-953-184-062-0 (vol. 2)", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Book{Buhmann:2003:RBF, author = "Martin D. Buhmann", title = "Radial Basis Functions: Theory and Implementations", volume = "12", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "x + 259", year = "2003", DOI = "https://doi.org/10.1017/cbo9780511543241", ISBN = "0-521-63338-9 (hardcover), 0-511-54324-7 (e-book)", ISBN-13 = "978-0-521-63338-3 (hardcover), 978-0-511-54324-1 (e-book)", LCCN = "QA223 .B84 2003", bibdate = "Tue Aug 12 06:12:44 MDT 2025", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib", series = "Cambridge monographs on applied and computational mathematics", abstract = "In many areas of mathematics, science and engineering, from computer graphics to inverse methods to signal processing, it is necessary to estimate parameters, usually multidimensional, by approximation and interpolation. Radial basis functions are a powerful tool which work well in very general circumstances and so are becoming of widespread use as the limitations of other methods, such as least squares, polynomial interpolation or wavelet-based, become apparent. The author's aim is to give a thorough treatment from both the theoretical and practical implementation viewpoints. For example, he emphasises the many positive features of radial basis functions such as the unique solvability of the interpolation problem, the computation of interpolants, their smoothness and convergence and provides a careful classification of the radial basis functions into types that have different convergence. A comprehensive bibliography rounds off what will prove a very valuable work.", acknowledgement = ack-nhfb, shorttableofcontents = "1. Introduction \\ 2. Summary of methods and applications \\ 3. General methods for approximation and interpolation \\ 4. Radial basis function approximation on infinite grids \\ 5. Radial basis functions on scattered data \\ 6. Radial basis functions with compact support \\ 7. Implementations \\ 8. Least squares methods \\ 9. Wavelet methods with radial basis functions \\ 10. Further results and open problems \\ App. Some essentials on Fourier transforms", tableofcontents = "1. Introduction \\ 1.1 Radial basis functions \\ 1.2 Applications \\ 1.3 Contents of the book \\ 2. Summary of methods and applications \\ 2.1 Invertibility of interpolation matrices \\ 2.2 Convergence analysis \\ 2.3 Interpolation and convergence \\ 2.4 Applications to PDEs \\ 3. General methods for approximation and interpolation \\ 3.1 Polynomial schemes \\ 3.2 Piecewise polynomials \\ 3.3 General nonpolynomial methods \\ 4. Radial basis function approximation on infinite grids \\ 4.1 Existence of interpolants \\ 4.2 Convergence analysis \\ 4.3 Numerical properties of the interpolation linear system \\ 4.4 Convergence with respect to parameters in the radial functions \\ 5. Radial basis functions on scattered data \\ 5.1 Nonsingularity of interpolation matrices \\ 5.2 Convergence analysis \\ 5.3 Norm estimates and condition numbers of interpolation matrices \\ 6. Radial basis functions with compact support \\ 6.1 Introduction \\ 6.2 Wendland's functions \\ 6.3 Another class of radial basis functions with compact support \\ 6.4 Convergence \\ 6.5 A unified class \\ 7. Implementations \\ 7.1 Introduction \\ 7.2 The BFGP algorithm and the new Krylov method \\ 7.3 The fast multipole algorithm \\ 7.4 Preconditioning techniques \\ 8. Least squares methods \\ 8.1 Introduction to least squares \\ 8.2 Approximation order results \\ 8.3 Discrete least squares \\ 8.4 Implementations \\ 8.5 Neural network applications \\ 9. Wavelet methods with radial basis functions \\ 9.1 Introduction to wavelets and prewavelets \\ 9.2 Basic definitions and constructions \\ 9.3 Multiresolution analysis and refinement \\ 9.4 Special constructions \\ 10. Further results and open problems \\ 10.1 Further results \\ 10.2 Open problems \\ Appendix: Some essentials on Fourier transforms", } @Article{Vicente:2003:IMJ, author = "Lu{\i}s Nunes Vicente", title = "An Interview with {M. J. D. Powell}", journal = "Bulletin of the International Center for Mathematics", number = "14", pages = "1--7", day = "14", month = jun, year = "2003", bibdate = "Tue Aug 12 09:33:04 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", URL = "http://www.mat.uc.pt/~lnv/papers/mjdp.pdf", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Xu:2004:DEP, author = "Xiaoyan Xu and R. D. Dony", editor = "Sven Lon{\c{c}}ari{\c{c}} and A. (Alessandro) Neri and Hrvoje Babi{\'c}", booktitle = "{2004 2nd IEEE International Symposium on Biomedical Imaging: Nano to Macro}", title = "Differential evolution with {Powell}'s direction set method in medical image registration", publisher = pub-IEEE, address = pub-IEEE:adr, bookpages = "xviii + 586 (vol. 1), xviii + 1190 (2 volumes)", pages = "732--735 (vol. 1)", year = "2004", DOI = "https://doi.org/10.1109/ISBI.2004.1398642", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "IEEE catalog number 04EX821.", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", xxeditor = "Hrvoje Babi{\'c} and A. (Alessandro) Neri and Sven Lon{\v{c}}ari{\v{c}}", } @Misc{Davis:2005:MJD, author = "Philip Davis", title = "An interview with {Michael J. D. Powell}", howpublished = "SIAM Oral History interview.", pages = "23", day = "6", month = apr, year = "2005", bibdate = "Tue Aug 12 09:05:11 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", URL = "https://history.siam.org/oralhistories/powell.htm", abstract = "Michael Powell discusses his career and research. Powell was born in London and lived in Sussex and Surrey. He had a governess in mathematics when he was very young, and because he enjoyed looking at mathematics books, often just doing the exercises, he was ahead of his classes in mathematics. He became an undergraduate at Cambridge, finishing in three years, two years for part 2 of the Mathematical Tripos and then taking a diploma in numerical analysis and computing in his third year. He joined the Atomic Energy Research Establishment at Harwell, and stayed for seventeen years. At Harwell, he started the Harwell Subroutine Library, one of the first libraries of numerical algorithms, and began his research career. He discusses the origin of the DFP [Davidon--Fletcher--Powell] method and subsequent methods that overtook it. After leaving Harwell, he returned to Cambridge in 1976 as a Professor and continued his research career. He received a Doctor of Science degree in 1979 at Cambridge. He discusses his subsequent work in optimization and approximation, the differences between research at Harwell and Cambridge, and his preferences in conducting research, including his tendency to publish by himself. Powell retired from Cambridge in 1996.", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Kishihara:2005:PPP, author = "M. Kishihara and K. Yamane and I. Ohta", editor = "Wei Hong and Tie Jun Cui and Dagang Fang", booktitle = "2005 Asia--Pacific Microwave Conference Proceedings", title = "Parallel processing of {Powell}'s optimization algorithm and its application to design of multi-way power dividers", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2005", DOI = "https://doi.org/10.1109/APMC.2005.1606817", ISBN = "0-7803-9433-X (paperback)", ISBN-13 = "978-0-7803-9433-9 (paperback)", LCCN = "TK7876 A832 2005", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Abid:2006:AMP, author = "S. Abid and A. Mouelhi and F. Fnaiech", editor = "{IEEE}", booktitle = "{2006 International Joint Conference on Neural Networks, Sheraton Vancouver Wall Centre Hotel, Vancouver, BC, Canada, July 16--21, 2006}", title = "Accelerating the Multilayer Perceptron Learning with the {Davidon Fletcher Powell} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "3389--3394", year = "2006", DOI = "https://doi.org/10.1109/IJCNN.2006.247340", ISBN = "0-7803-9490-9", ISBN-13 = "978-0-7803-9490-2", LCCN = "QA76.87", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Entezari:2006:EZP, author = "Alireza Entezari and Torsten M{\"o}ller", title = "Extensions of the {Zwart--Powell} Box Spline for Volumetric Data Reconstruction on the Cartesian Lattice", journal = j-IEEE-TRANS-VIS-COMPUT-GRAPH, volume = "12", number = "5", pages = "1337--1344", year = "2006", CODEN = "ITVGEA", DOI = "https://doi.org/10.1109/TVCG.2006.141", ISSN = "1077-2626", ISSN-L = "1077-2626", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Visualization and Computer Graphics", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2945", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Shen:2006:PIG, author = "Bin Shen and Wen-Ying Wang and Zhong-Hua Lu and Xue-Bin Chi and Hui Yu", editor = "Timothy Mark Pinkston and F{\"u}sun {\"O}zg{\"u}ner", booktitle = "2006 International Conference on Parallel Processing Workshops {(ICPPW'06), Columbus, OH}", title = "Parallel implementation of the global optimization algorithm based on uniform distributional design and {Powell} method", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "6 pp.-518", year = "2006", DOI = "https://doi.org/10.1109/ICPPW.2006.78", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Misc{Sun:2006:IPM, author = "Xiaoling Sun", title = "An Interview with {Professor Michael J. D. Powell}", howpublished = "Web site", year = "2006", bibdate = "Tue Aug 12 09:36:33 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", URL = "http://www-optima.amp.i.kyoto-u.ac.jp/ORB/issue21/interview_mike.html", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Davydov:2008:ISD, author = "Oleg Davydov and Larry L. Schumaker", title = "Interpolation and scattered data fitting on manifolds using projected {Powell Sabin} splines", journal = j-IMA-J-NUMER-ANAL, volume = "28", number = "4", pages = "785--805", year = "2008", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/drm033", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Speleers:2008:MMP, author = "Hendrik Speleers and Paul Dierckx and Stefan Vandewalle", title = "Multigrid methods with {Powell Sabin} splines", journal = j-IMA-J-NUMER-ANAL, volume = "28", number = "4", pages = "888--908", year = "2008", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/drm031", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Zhang:2009:PSO, author = "Ye Zhang and Yan Guo and Yanfeng Gu and Weizhi Zhong", editor = "Haiying Wang", booktitle = "2009 Fifth International Conference on Natural Computation", title = "Particle Swarm Optimization with {Powell}'s Direction Set Method for Remote Sensing Image Registration", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "388--392", year = "2009", DOI = "https://doi.org/10.1109/ICNC.2009.402", ISBN = "0-7695-3736-7, 1-4244-4542-6 (print)", ISBN-13 = "978-0-7695-3736-8, 978-1-4244-4542-4 (print)", LCCN = "QA76.9.N37 I67 2009", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Lee:2010:PMD, author = "Cheng-Ling Lee and Tai-Ning Chang and Yuan-Yao Lin and Pin Han and Ray-Kuang Lee", editor = "{IEEE}", booktitle = "{OECC 2010} Technical Digest, {5--9 July 2010}", title = "{Powell}'s method for designing optical multilayer thin-film filters", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "388--389", year = "2010", ISBN = "1-4244-6785-3, 4-88552-245-5, 4-88552-246-3", ISBN-13 = "978-1-4244-6785-3, 978-4-88552-245-1, 978-4-88552-246-8", LCCN = "TK5103.59", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Yang:2010:SSM, author = "Jie Yang and Zengliang Gao and Yi Liu", editor = "Yanwen Wu and Jian Li", booktitle = "2010 2nd International Asia Conference on Informatics in Control, Automation and Robotics {(CAR 2010)}", title = "Soft sensor modeling of {AlCl3$ \cdot $6H2O} content based on {Powell-BP}", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "413--416", year = "2010", DOI = "https://doi.org/10.1109/CAR.2010.5456584", ISBN = "1-4244-5192-2", ISBN-13 = "978-1-4244-5192-0", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Zhu:2011:DSE, author = "Xinjian Zhu and Shengzhen Tao and Jing Bai and Ke Liu", editor = "Peihua Qiu", booktitle = "2011 4th International Congress on Image and Signal Processing", title = "Displacement and strain estimation based on numerical optimization method with {Powell} algorithm and wavelet analysis in ultrasound elastography", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "130--133", year = "2011", DOI = "https://doi.org/10.1109/CISP.2011.6099916", ISBN = "1-4244-9304-8, 1-4244-9306-4", ISBN-13 = "978-1-4244-9304-3, 978-1-4244-9306-7", LCCN = "TA1637 .I68", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, keywords = "numerical optimization method with Powell algorithm (NOMPA); numerical optimization method with Powell algorithm and wavelet analysis (NOMPA-WA)", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Durmus:2012:IFD, author = "Burhanettin Durmu{\c{s}} and Serdar {\"O}zy{\"o}n and Do{\u{g}}n Aydin and G{\"u}ltekin Kuvat", editor = "{IEEE}", booktitle = "2012 International Symposium on Innovations in Intelligent Systems and Applications", title = "{IIR} filter design using incremental artificial bee colony with {Powell}'s {CDS}", publisher = pub-IEEE, address = pub-IEEE:adr, bookpages = "489", pages = "1--5", year = "2012", DOI = "https://doi.org/10.1109/INISTA.2012.6247028", ISBN = "1-4673-1446-3 (print), 1-4673-1448-X (online)", ISBN-13 = "978-1-4673-1446-6 (print), 978-1-4673-1448-0 (online)", LCCN = "QA76.76, TJ217.5", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Kao:2012:FOM, author = "Ren-Jie Kao and Yuan-Yao Lin and Cheng-Ling Lee", editor = "{IEEE}", booktitle = "2012 17th Opto-Electronics and Communications Conference", title = "Fabrication of optical multilayer thin-film filters based on the {Powell}'s optimization method", publisher = pub-IEEE, address = pub-IEEE:adr, bookpages = "lv + 922", pages = "659--660", year = "2012", DOI = "https://doi.org/10.1109/OECC.2012.6276778", ISBN = "1-4673-0976-1, 1-4673-0977-X, 1-4673-0978-8", ISBN-13 = "978-1-4673-0976-9, 978-1-4673-0977-6, 978-1-4673-0978-3", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Sarwar:2012:RTO, author = "Sajjad Sarwar and Naveed Iqbal Rao and Muhammad Faisal Khan", editor = "{IEEE}", booktitle = "2012 International Conference on Digital Image Computing Techniques and Applications {(DICTA)}", title = "Real-Time Object Tracking Using {Powell}'s Direct Set Method for Object Localization and {Kalman} Filter for Occlusion Handling", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--7", year = "2012", DOI = "https://doi.org/10.1109/DICTA.2012.6411705", ISBN = "1-4673-2179-6, 1-4673-2180-X, 1-4673-2181-8", ISBN-13 = "978-1-4673-2179-2, 978-1-4673-2180-8, 978-1-4673-2181-5", LCCN = "TA1637 .D46 2012", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Lei:2013:IMI, author = "Yang Lei and Yan Zhang", editor = "Zhiqiong Wang and Jingshu Zhang and Yueyang Teng", booktitle = "2013 {IEEE} International Conference on Medical Imaging Physics and Engineering", title = "An improved {2D-3D} medical image registration algorithm based on modified mutual information and expanded {Powell} method", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "24--29", year = "2013", DOI = "https://doi.org/10.1109/ICMIPE.2013.6864496", ISBN = "1-4673-5886-X, 1-4673-5887-8, 1-4673-6012-0", ISBN-13 = "978-1-4673-5886-6, 978-1-4673-5887-3, 978-1-4673-6012-8", LCCN = "RC78.7.D53", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Xiaogang:2013:AMR, author = "Du Xiaogang and Dang Jianwu and Wang Yangping and Liu Xinguo and Li Sha", editor = "{IEEE}", booktitle = "2013 Third International Conference on Intelligent System Design and Engineering Applications", title = "An Algorithm Multi-Resolution Medical Image Registration Based on Firefly Algorithm and {Powell}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "274--277", year = "2013", DOI = "https://doi.org/10.1109/ISDEA.2012.68", ISBN = "0-7695-4923-3, 1-4673-4893-7", ISBN-13 = "978-0-7695-4923-1, 978-1-4673-4893-5", LCCN = "QA76.76.E95 I5755 2013", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Sugihara:2014:RSP, author = "Tomomichi Sugihara", editor = "Wolfram Burgard", booktitle = "2014 {IEEE/RSJ} International Conference on Intelligent Robots and Systems", title = "Robust solution of prioritized inverse kinematics based on {Hestenes--Powell} multiplier method", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "510--515", year = "2014", DOI = "https://doi.org/10.1109/IROS.2014.6942607", ISBN = "1-4799-6931-1 (DVD), 1-4799-6934-6, 1-4799-6935-4", ISBN-13 = "978-1-4799-6931-9 (DVD), 978-1-4799-6934-0, 978-1-4799-6935-7", LCCN = "TJ217.5 .I344 2014", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Cartis:2015:OMP, author = "Coralia Cartis and Andreas Griewank and Philippe Toint and Ya-xiang Yuan", title = "Obituary for {Mike Powell}", journal = "Optima", volume = "99", number = "??", pages = "7--8", month = dec, year = "2015", bibdate = "Mon Aug 11 09:03:56 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "See \cite{Leyffer:2015:SPI}.", URL = "https://www.mathopt.org/Optima-Issues/optima99.pdf", acknowledgement = ack-nhfb, journal-URL = "https://www.mathopt.org/Optima-Issues/", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Langhnoja:2015:NRA, author = "Namrata V. Langhnoja and Ved Vyas Dwivedi", editor = "{IEEE}", booktitle = "2015 International Conference on Electrical, Electronics, Signals, Communication and Optimization {(EESCO), Visakhapatnam, India}", title = "Notice of Removal: Analysis of Microstrip Reflectarray antenna for {Indian} contour beam using {Powell} Optimization", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2015", DOI = "https://doi.org/10.1109/EESCO.2015.7254043", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", xxISBN = "none", } @InProceedings{Liu:2015:MAB, author = "Boyang Liu and Weiping Shao and Qiuyan Liu and Lianbo Ma", editor = "{IEEE}", booktitle = "{2015 IEEE International Conference on Cyber Technology in Automation, Control, and Intelligent Systems (CYBER): June 8--12, 2015, Shenyang, China}", title = "A modified Artificial Bee Colony optimizer by comprehensive learning and {Powell}' search", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1529--1533", year = "2015", DOI = "https://doi.org/10.1109/CYBER.2015.7288172", ISBN = "1-4799-8728-X, 1-4799-8729-8 (USB), 1-4799-8731-X (print)", ISBN-13 = "978-1-4799-8728-3, 978-1-4799-8729-0 (USB), 978-1-4799-8731-3 (print)", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, keywords = "Artificial Bee Colony (ABC) optimizer", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Ting-ting:2015:RMI, author = "Pan Ting-ting and Zhao Ji", editor = "{IEEE}", booktitle = "2015 14th International Symposium on Distributed Computing and Applications for Business Engineering and Science {(DCABES)}", title = "Research on Medical Image Registration Based on {QPSO} and {Powell} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, bookpages = "xx + 532", pages = "316--319", year = "2015", DOI = "https://doi.org/10.1109/DCABES.2015.86", ISBN = "1-4673-6592-0, 1-4673-6593-9, 1-4673-6594-7", ISBN-13 = "978-1-4673-6592-5, 978-1-4673-6593-2, 978-1-4673-6594-9", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Wang:2015:ARF, author = "Xue Wang and Malek Adjouadi", editor = "IEEE", booktitle = "2015 {IEEE} Signal Processing in Medicine and Biology Symposium {(SPMB)}", title = "Automatic registration of {FDG\_CT} and {FLT\_CT} images integrating {Genetic Algorithm}, {Powell} method and wavelet decomposition", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2015", DOI = "https://doi.org/10.1109/SPMB.2015.7405475", ISBN = "1-5090-1350-4, 1-5090-1351-2", ISBN-13 = "978-1-5090-1350-0, 978-1-5090-1351-7", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Chattopadhyay:2016:DFR, author = "Amit Chattopadhyay and Suviseshamuthu Easter Selvan and Umberto Amato", title = "A Derivative-Free {Riemannian Powell}'s Method, Minimizing {Hartley}-Entropy-Based {ICA} Contrast", journal = j-IEEE-TRANS-NEURAL-NETW-LEARN-SYST, volume = "27", number = "9", pages = "1983--1990", year = "2016", CODEN = "ITNNEP", DOI = "https://doi.org/10.1109/TNNLS.2015.2464157", ISSN = "2162-237X (print), 2162-2388 (electronic)", ISSN-L = "2162-237X", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Neural Netw. Learn. Syst.", fjournal = "IEEE Transactions on Neural Networks and Learning Systems", journal-URL = "https://ieeexplore.ieee.org/servlet/opac?punumber=5962385", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Qian:2017:APH, author = "Xiaoshan Qian", editor = "{IEEE}", booktitle = "2017 International Conference on Computer Systems, Electronics and Control {(ICCSEC)}", title = "Application of {Powell--HS} Algorithm in Image Classification", publisher = pub-IEEE, address = pub-IEEE:adr, bookpages = "1236", pages = "1--1003", year = "2017", DOI = "https://doi.org/10.1109/ICCSEC.2017.8446774", ISBN = "1-5386-3573-9, 1-5386-3574-7 (print)", ISBN-13 = "978-1-5386-3573-5, 978-1-5386-3574-2 (print)", LCCN = "QA75.5 .I578 2018", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Tang:2017:APF, author = "Ye Tang and Wei Zhou and Xuyu Peng", editor = "Yong Liu and Liang Zhao and Guoyong Cai and Guoqing Xiao and Kenli Li and Lipo Wang", booktitle = "2017 13th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery {(ICNC-FSKD): Guilin, China, 29-31 July 2017}", title = "Application of {Powell} fruit fly optimization algorithm to solutions of nonlinear equations", publisher = pub-IEEE, address = pub-IEEE:adr, bookpages = "3121 (4 volumes)", pages = "492--496", year = "2017", DOI = "https://doi.org/10.1109/FSKD.2017.8393318", ISBN = "1-5386-2164-9, 1-5386-2165-7, 1-5386-2166-5 (print)", ISBN-13 = "978-1-5386-2164-6, 978-1-5386-2165-3, 978-1-5386-2166-0 (print)", LCCN = "QA76.9.N37", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Buhmann:2018:MJD, author = "M. D. Buhmann and R. {Fletcher FRS} and A. Iserles and P. Toint", title = "{Michael J. D. Powell. 29 July 1936--19 April 2015}", journal = j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC, volume = "64", pages = "341--366", month = jun, year = "2018", CODEN = "BMFRA3", DOI = "https://doi.org/10.1098/rsbm.2017.0023", ISSN = "0080-4606 (print), 1748-8494 (electronic)", ISSN-L = "0080-4606", bibdate = "Wed Aug 23 08:44:49 MDT 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/biograph-memoirs-fellows-roy-soc.bib", acknowledgement = ack-nhfb, ajournal = "Biogr. Mem. Fell. R. Soc. Lond.", fjournal = "Biographical Memoirs of Fellows of the Royal Society", journal-URL = "https://royalsocietypublishing.org/journal/rsbm; https://www.jstor.org/journal/biogmemofellroya", published = "31 January 2018", remark = "Roger Fletcher (29 January 1939--15 July 2016) died after completing a draft of a section of this memory, two years before publication.", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Ge:2018:PBC, author = "Gengyu Ge and Kun Shen and Maoqiang Yang and Xuyu Peng", editor = "{IEEE}", booktitle = "2018 14th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery {(ICNC-FSKD): Huangshan, China, 28--30 July 2018}", title = "{Powell}-based Cuckoo Search Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "489--493", year = "2018", DOI = "https://doi.org/10.1109/FSKD.2018.8687161", ISBN = "1-5386-8097-1, 1-5386-8098-X", ISBN-13 = "978-1-5386-8097-1, 978-1-5386-8098-8", LCCN = "QA76.9.N37 .I584 2018", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Tuan:2018:GDE, author = "Nguyen Quoc Tuan and Ta Duy Hoang and Huynh Thi Thanh Binh", editor = "{IEEE}", booktitle = "2018 {IEEE} Congress on Evolutionary Computation {(CEC)}", title = "A Guided Differential Evolutionary Multi-Tasking with {Powell} Search Method for Solving Multi-Objective Continuous Optimization", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--8", year = "2018", DOI = "https://doi.org/10.1109/CEC.2018.8477860", ISBN = "1-5090-6017-0, 1-5090-6018-9 (print)", ISBN-13 = "978-1-5090-6017-7, 978-1-5090-6018-4 (print)", LCCN = "QA76.618 .I344 2018", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Yang:2018:ILC, author = "Gun Yang and Fangrong Zhou and Yi Ma and Zhanqing Yu and Yijun Zhang and Jinliang He", title = "Identifying Lightning Channel-Base Current Function Parameters by {Powell} Particle Swarm Optimization Method", journal = j-IEEE-TRANS-ELECTROMAGN-COMPAT, volume = "60", number = "1", pages = "182--187", year = "2018", CODEN = "IEMCAE", DOI = "https://doi.org/10.1109/TEMC.2017.2705485", ISSN = "0018-9375 (print), 1558-187X (electronic)", ISSN-L = "0018-9375", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electromagnetic Compatibility", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=15", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Zhuang:2020:PEL, author = "Li Zhuang and Longpeng Cao and Yong Wu and Yonghong Zhong and Lili Zhangzhong and Wengang Zheng and Long Wang", title = "Parameter Estimation of {Lorenz} Chaotic System Based on a Hybrid {Jaya--Powell} Algorithm", journal = j-IEEE-ACCESS, volume = "8", number = "", pages = "20514--20522", year = "2020", DOI = "https://doi.org/10.1109/ACCESS.2020.2968106", ISSN = "2169-3536", ISSN-L = "2169-3536", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Access", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Adedayo:2021:SAM, author = "Ojo O. Adedayo and M. O. Onibonoje and T. E. Fabunmi", editor = "{IEEE}", booktitle = "2021 International Conference on Electrical, Computer and Energy Technologies {(ICECET)}", title = "Simulative Analysis of Metropolitan Electric Distribution Network using Conjugate Gradient Neuro-algorithm with {Powell\slash Beale} Restarts", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2021", DOI = "https://doi.org/10.1109/ICECET52533.2021.9698441", ISBN = "1-66544-231-X, 1-66544-232-8 (printondemand)", ISBN-13 = "978-1-66544-231-2, 978-1-66544-232-9 (printondemand)", LCCN = "????", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Elmalky:2022:OCB, author = "Adham M. Elmalky and Mohamad T. Araji", editor = "{IEEE}", booktitle = "2022 International Conference on Electrical, Computer and Energy Technologies {(ICECET): 20--22 July 2022, Prague, Czech Republic}", title = "Optimization of Cooled Building-Integrated Photovoltaics Using {Powell}'s Conjugate Direction Method in {Canada}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2022", DOI = "https://doi.org/10.1109/ICECET55527.2022.9872898", ISBN = "1-66547-087-9, 1-66547-088-7 (printondemand)", ISBN-13 = "978-1-66547-087-2, 978-1-66547-088-9 (printondemand)", LCCN = "TK146 .I578 2022", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Rina:2022:GCA, author = "Iswan Rina and Dwi Sulistiowati and Diana RaudhatulOktavi", editor = "{IEEE}", booktitle = "2022 International Symposium on Information Technology and Digital Innovation {(ISITDI)}", title = "Graph Coloring Applications in Scheduling Courses using {Welch--Powell} Algorithm --- a Case Study", publisher = pub-IEEE, address = pub-IEEE:adr, bookpages = "vii + 201", pages = "131--135", year = "2022", DOI = "https://doi.org/10.1109/ISITDI55734.2022.9944511", ISBN = "1-66546-116-0, 1-66546-117-9 (printondemand)", ISBN-13 = "978-1-66546-116-0, 978-1-66546-117-7 (printondemand)", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Article{Yavuz:2022:SLJ, author = "G{\"u}rcan Yavuz", title = "Senior Learning {JAYA} With {Powell}'s Method and Incremental Population Strategy", journal = j-IEEE-ACCESS, volume = "10", number = "", pages = "103765--103780", year = "2022", DOI = "https://doi.org/10.1109/ACCESS.2022.3210122", ISSN = "2169-3536", ISSN-L = "2169-3536", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Access", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639", subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Wang:2023:GOU, author = "Zhiping Wang and Fan Zhang and Dongcai Liu and Xiaoting Chen and Jing Yin", editor = "{IEEE}", booktitle = "2023 3rd International Conference on Neural Networks, Information and Communication Engineering {(NNICE)}", title = "Global optimization using a combination of differential evolution and modified {Powell} method", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "213--218", year = "2023", DOI = "https://doi.org/10.1109/NNICE58320.2023.10105732", ISBN-13 = "979-83-503-3598-9", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @InProceedings{Zhang:2023:RFD, author = "Jun-wei Zhang and Jun-yu Tian and Xin Liu and Long-fei Wu and Peng Li and Tong Wu", editor = "{IEEE}", booktitle = "2023 3rd International Conference on Consumer Electronics and Computer Engineering {(ICCECE)}", title = "Research on fault diagnosis of high voltage circuit breaker based on random forest optimized by {Powell--PSO}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "468--473", year = "2023", DOI = "https://doi.org/10.1109/ICCECE58074.2023.10135389", ISBN-13 = "979-83-503-3157-8 (print)", bibdate = "Sat Nov 18 12:12:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, subject-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } %%% ==================================================================== %%% Cross-referenced entries must come last. They are sorted by year %%% and then by citation label, with ``bibsort --byyear'': @Proceedings{Fletcher:1969:OSI, editor = "Roger Fletcher", booktitle = "{Optimization Symposium of the Institute of Mathematics and its applications: 1968. Keele, England}", title = "{Optimization Symposium of the Institute of Mathematics and its applications: 1968. Keele, England}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xviii + 354", year = "1969", ISBN = "0-12-260650-7", ISBN-13 = "978-0-12-260650-2", LCCN = "QA402.5 .K4 1968", bibdate = "Wed Nov 22 16:25:42 MST 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, } @Proceedings{Morrell:1969:IPP, editor = "A. J. H. Morrell", booktitle = "{Information processing 68: proceedings of IFIP congress 1968, organized by the International Federation for Information Processing, Edinburgh, 5--10 August 1968}", title = "{Information processing 68: proceedings of IFIP congress 1968, organized by the International Federation for Information Processing, Edinburgh, 5--10 August 1968}", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "xxvi + 1--610 (vol. 1), xi + 613--1650 (vol. 2)", year = "1969", ISBN = "0-7204-2032-6", ISBN-13 = "978-0-7204-2032-6", LCCN = "QA76 .I578", bibdate = "Fri Nov 11 07:22:32 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; melvyl.cdlib.org:210/CDL90", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", remark = "Volume 1. Mathematics, software. Volume 2. Hardware, applications.", subject = "Electronic data processing; Congresses; Electronic digital computers; Congresses; Machine theory; Congresses", } @Proceedings{Abadie:1970:INP, editor = "J. Abadie", booktitle = "Integer and Nonlinear Programming", title = "Integer and Nonlinear Programming", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, bookpages = "x + 544", pages = "x + 544", year = "1970", ISBN = "0-444-10000-8", ISBN-13 = "978-0-444-10000-9", LCCN = "T57.7 .I57", bibdate = "Mon Oct 24 09:12:37 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "A NATO Summer School held in Bandol, France.", acknowledgement = ack-nhfb, } @Book{Hayes:1970:NAF, editor = "J. G. Hayes", booktitle = "Numerical Approximation to Functions and Data", title = "Numerical Approximation to Functions and Data", publisher = "Athlone Press", address = "London, UK", bookpages = "viii + 177", pages = "viii + 177", year = "1970", ISBN = "0-485-11109-8", ISBN-13 = "978-0-485-11109-5", LCCN = "QA297 .N85 1970", bibdate = "Tue Aug 12 14:33:07 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib; https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Charles William Clenshaw (15 March 1926--23 September 2004); Leslie Fox (30 September 1918--1 August 1992); Michael James David Powell (29 July 1936--19 April 2015)", tableofcontents = "1 Introduction / 1 \\ L. Fox, FIMA, University of Oxford \\ 2 General Considerations / 4 \\ C. W. Clenshaw, FIMA, National Physical Laboratory, Teddington \\ 1. Introduction / 4 \\ 2. Choice of norm / 6 \\ 3. Choice of approximating function / 10 \\ 4. Polynomials and splines / 12 \\ 3 The Polynomial and Rational Approximation of a Function of One Variable / 16 \\ C. W. Clenshaw, FIMA, National Physical Laboratory, Teddington \\ 1. Introduction / 16 \\ 2. Calculation of the minimax polynomial / 17 \\ 3. Approximation in Chebyshev series / 19 \\ 4. Use of the Ly norm / 22 \\ 5. Rational functions / 23 \\ 6. Continued fractions / 24 \\ 7. The Pad{\'e} table and the $g$-algorithm / 25 \\ 8. Conclusions / 26 \\ 4 The Approximation of a Function of One Variable by Cubic Splines / 28 \\ A. R. Curtis, FIMA, Atomic Energy Research Establishment, Harwell \\ 1. Introduction / 28 \\ 2. Description of the algorithm / 32 \\ 3. Useful results for constant knot spacing / 35 \\ 4. Effect of change of interval / 36 \\ 5. End-of-range conditions / 38 \\ 6. Discussion / 40 \\ 5 Curve Fitting by Polynomials in One Variable / 43 \\ J. G. Hayes, FIMA, National Physical Laboratory, Teddington \\ 1. Introduction / 43 \\ 2. Least squares / 43 \\ 3. Orthogonal polynomials / 46 \\ 4. Weighting / 48 \\ 5. Constraints / 49 \\ 6. Choice of degree of polynomial / 50 \\ 7. Unsatisfactory fits / 53 \\ 8. Examples / 54 \\ 9. Concluding remarks / 63 \\ 6 Curve Fitting by Splines in One Variable / 65 \\ M. J. D. Powell, FIMA, Atomic Energy Research Establishment, Harwell \\ 1. Introduction / 65 \\ 2. An outline of the algorithm / 67 \\ 3. The need for smoothing / 68 \\ 4. The linear parameters of $s(x)$ / 70 \\ 5. The test for trends / 72 \\ 6. The magnitude of the smoothing term / 74 \\ 7. Numerical examples / 79 \\ 7 Fitting Data in More Than One Variable / 84 \\ J. G. Hayes, FIMA, National Physical Laboratory, Teddington \\ 1. Introduction / 84 \\ 2. General arrangement of data points / 87 \\ 3. Rectangular mesh of data points / 89 \\ 4. Data on lines parallel to an axis: rectangular boundary / 91 \\ 5. Data on lines parallel to an axis: curved boundary / 92 \\ 6. Constraints / 94 \\ 7. More than two independent variables / 96 \\ 8. Methods for surface interpolation / 96 \\ 8 An Automatic Curve-Fitting Package / 98 \\ J. A. Payne, Imperial Chemical Industries Ltd., Wilmslow \\ 1. Introduction / 98 \\ 2. Basic philosophy / 99 \\ 3. Data scatter / 99 \\ 4. Data form / 102 \\ 5. Single polynomial fit / 103 \\ 6. Subdivision of data / 103 \\ 7. Polynomial fitting in sections / 104 \\ \\ 9 Experience with Cubic Splines in the Graduation of Neutron Cross-Section Data / 107 \\ K. Parker, Atomic Weapons Research Establishment, Aldermaston \\ \\ 10 Methods of Graduating Heterogeneous Data / 111 \\ J. B. Parker, FIMA, Atomic Weapons Research Establishment, Aldermaston \\ 1. Introduction / 111 \\ 2. Development of method / 112 \\ 3. Examples / 114 \\ \\ 11 Computational Experience in Solving Linear Operator Equations Using the Chebyshev Norm / 115 \\ I. Barrodale and A. Young, FIMA, University of Liverpool \\ 1. Introduction / 115 \\ 2. Some linear operator equations / 116 \\ 3. Integral equations / 116 \\ 4. Ordinary differential equations / 125 \\ 5. Integro-differential equations / 132 \\ 6. Partial differential equations / 133 \\ 7. Conclusions / 142 \\ \\ 12 Optimal Approximation and Interpolation in Normed Spaces / 143 \\ J. Meinguet, Catholic University of Louvain, Belgium \\ 1. Introduction / 143 \\ 2. The characterization problem / 144 \\ 3. A method of solution and its geometric interpretation / 147 \\ 4. Optimal versus best error bounds / 150 \\ 5. Lagrange interpolation and extrapolation / 153 \\ \\ 13 Approximation Theory --- Yesterday, Today and Tomorrow / 158 \\ P. J. Davis, Brown University, Rhode Island, USA \\ 1. Introduction / 158 \\ 2. Approximation theory a generation ago / 158 \\ 3. Approximation theory today / 158 \\ 4. What should approximators be doing in the future? / 162 \\ 5. The present position of numerical analysis / 164 \\ \\ References / 167 \\ \\ Index / 173", } @Proceedings{Rosen:1970:NPP, editor = "J. B. Rosen and O. L. Mangasarian and K. Ritter", booktitle = "Nonlinear Programming: Proceedings of a Symposium Conducted by the {Mathematics Research Center, The University of Wisconsin, Madison May 4--6,1970}", title = "Nonlinear Programming: Proceedings of a Symposium Conducted by the {Mathematics Research Center, The University of Wisconsin, Madison May 4--6,1970}", number = "25", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xii + 490", year = "1970", ISBN = "0-12-597050-1", ISBN-13 = "978-0-12-597050-1", LCCN = "QA3 .U45 no. 25", bibdate = "Mon Oct 24 09:10:04 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Publication of the Mathematics Research Center, University of Wisconsin, Madison", acknowledgement = ack-nhfb, tableofcontents = "J. B. Rosen / Foreword / ix--x \\ J. B. Rosen / Preface / xi--xii \\ F. Huard / A Method of Centers by Upper-Bounding Functions with Applications / 1--30 \\ M. J. D. Powell / A new algorithm for unconstrained optimization / 31--65 \\ R. Fletcher and Shirley A. Lill / A Class of Methods for Nonlinear Programming. II. Computational Experience / 67--93 \\ G. Zoutendijk / Some Algorithms Based on the Principle of Feasible Directions / 93--121 \\ R. H. Bartels, G. H. Golub, and M. A. Saunders / Numerical Techniques in Mathematical Programming / 123--176 \\ K. Ritter / A Superlinearly Convergent Method for Unconstrained Minimization / 177--206 \\ Garth P. McCormick / A Second Order Method for the Linearly Constrained Nonlinear Programming Problem / 207--243 \\ James W. Daniel / Convergent Step-Sizes for Gradient-Like Feasible Direction Algorithms for Constrained Optimization / 245--274 \\ E. Polak / On the Implementation of Conceptual Algorithms / 275--291 \\ R. Tyrrell Rockafellar / Some Convex Programs Whose Duals Are Linearly Constrained / 293--322 \\ Lucien W. Neustadt / Sufficiency Conditions and a Duality Theory for Mathematical Programming Problems in Arbitrary Linear Spaces / 323--348 \\ C. E. Lemke / Recent Results on Complementarity Problems / 349--384 \\ Bertram Mond / Nonlinear Nondifferentiable Programming in Complex Space / 385--400 \\ R. J. Duffin / Duality Inequalities of Mathematics and Science / 401--423 \\ Olaf Krafft / Programming Methods in Statistics and Probability Theory / 425--446 \\ I. Barrodale and F. D. K. Roberts / Applications of Mathematical Programming to $\ell_p$ Approximation / 447--464 \\ R. R. Meyer / Theoretical and Computational Aspects of Nonlinear Regression / 465--486 \\ Anonymous / Index / 487--490", } @Proceedings{Evans:1974:SNM, editor = "D. J. Evans", booktitle = "Software for Numerical Mathematics: Proceedings of the {Loughborough University of Technology Conference of the Institute of Mathematics and Its Applications held in April 1973}", title = "Software for Numerical Mathematics: Proceedings of the {Loughborough University of Technology Conference of the Institute of Mathematics and Its Applications held in April 1973}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xi + 451", year = "1974", ISBN = "0-12-243750-0", ISBN-13 = "978-0-12-243750-2", LCCN = "QA297 .S591", bibdate = "Wed Sep 07 10:59:08 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, } @Proceedings{Gill:1974:NMC, editor = "Philip E. Gill and Walter Murray", booktitle = "Numerical Methods for Constrained Optimization --- proceedings of a symposium held at the {National Physical Laboratory, Teddington, Middlesex, January 10--11, 1974}", title = "Numerical Methods for Constrained Optimization --- proceedings of a symposium held at the {National Physical Laboratory, Teddington, Middlesex, January 10--11, 1974}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xiv + 283", year = "1974", ISBN = "0-12-283550-6", ISBN-13 = "978-0-12-283550-6", LCCN = "QA402.5", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", tableofcontents = "Contributors / v \\ Preface / vii \\ Glossary of Symbols / ix \\ \\ I: Introduction to Constrained Optimization / M. J. D. Powell \\ \\ 1.1. Descent Methods for Minimization / 1 \\ 1.2. First-order Conditions for a Solution / 4 \\ 1.3. Second-order Conditions for a Solution / 8 \\ 1.4. Some Active Set Strategies and Quadratic Programming / 14 \\ 1.5. Lagrangian Functions / 21 \\ II: Newton-type Methods for Linearly Constrained Optimization / P. E. Gill and W. Murray / 29 \\ \\ 2.1. Introduction / 29 \\ 2.2. Geometrical Considerations and Conditions for a Solution / 30 \\ 2.3. Newton-type Methods for Unconstrained Minimization / 32 \\ 2.4. Minimization with Linear Equality Constraints--a Survey / 40 \\ 2.5. A Projected Newton-type Method for the Equality-constraint Problem / 45 \\ 2.6. Determination of the Set of Active Constraints / 50 \\ 2.7. Degeneracy / 36 \\ 2.8. Computing and Updating the Matrix $Z$ / 57 \\ 2.9. Finding an Initial Feasible Point / 63 \\ 2.10. Conclusions / 65 \\ \\ III: Quasi-Newton Methods for Linearly Constrained Optimization / P. E. Gill and W. Murray \\ \\ 3.1. Introduction / 67 \\ 3.2. Linearly Constrained Optimization --- Historical Developments / 69 \\ 3.3. Revised Quasi-Newton Methods / 14 \\ 3.4. Factorized Forms of the Standard Algorithms / 77 \\ 3.5. The Choice of Active Set / 80 \\ 3.6. Linearly Constrained Algorithms which do not Require Derivatives / 89 \\ 3.7. Methods Based upon Solving a Quadratic and Linear Program at Each Iteration / 90 \\ \\ IV: Methods for Large-scale Linearly Constrained Problems / P. E. Gill and W. Murray \\ \\ 4.1. Introduction \\ Part I: Numerical Methods for the Solution of Large Sparse Sets of Linear Equations \\ 4.2. Classification of Methods / 96 \\ 4.3. Direct Methods based upon Matrix Factorizations / 96 \\ 4.4. Pre-processing Techniques / 109 \\ 4.5. Updating the Factorizations / 113 \\ 4.6. Conjugate-gradient Methods / 122 \\ 4.7. Iterative Methods for the Solution of Large Sparse Sets of Linear Equations / 124 \\ \\ Part II: Unconstrained Optimization \\ 4.8. Newton-type Methods with Second Derivatives Available / 126 \\ 4.9. Methods Using Only First Derivatives / 129 \\ 4.10. Methods Using No Derivatives / 131 \\ Part III: Linearly Constrained Minimization \\ 4.11. General Problems / 132 \\ 4.12. Large-scale Linear Programming / 135 \\ 4.13. Simple Constraints / 137 \\ 4.14. Problems with a Small Number of Variables Appearing Nonlinearly in F(x) / 137 \\ 4.15. Problems with a Small Number of Constraints / 139 \\ 4.16. Structured Problems / 139 \\ 4.17. Decomposition Techniques / 142 \\ 4.18. Concluding Remarks / 147 \\ V: Reduced-gradient and Projection Methods for Nonlinear Programming / R. W. H. Sargent \\ \\ 5.1. Introduction / 149 \\ 5.2. Minimization Subject to Equality Constraints / 150 \\ 5.3. Inequality Constraints--Active Set Strategies / 165 \\ 5.4. Summary / 173 \\ \\ VI: Penalty and Barrier Functions / D. M. Ryan \\ \\ 6.1. Introduction / 175 \\ 6.2. Transformation Methods / 177 \\ 6.3. Barrier Functions / 178 \\ 6.4. Barrier-Function Strengths / 179 \\ 6.5. Barrier-Function Weaknesses / 182 \\ 6.6. Penalty Functions / 185 \\ 6.7. Recent Contributions / 186 \\ \\ VII: Constrained Optimization by Direct Search / W. H. Swann \\ \\ 7.1. Introduction / 191 \\ 7.2. Monte Carlo Methods / 193 \\ 7.3. Rejection of Non-feasible Points / 194 \\ 7.4. Self-bounding Methods / 195 \\ 7.5. The Probe Method / 196 \\ 7.6. Constraint Following in Pattern Search / 197 \\ 7.7. DSC, with Linear Constraints / 199 \\ 7.8. Transformation Methods: Penalty Functions / 201 \\ 7.9. Simpat / 202 \\ 7.10. Transformation Methods: Barrier Functions / 203 \\ 7.11. The Complex Method of Box / 208 \\ 7.12. Variations of the Complex Method / 210 \\ 7.13. ACSIM / 213 \\ 7.14. Conclusion / 217 \\ \\ VIII: Methods Related to Lagrangian Functions / R. Fletcher \\ \\ 8.1. Introduction / 219 \\ Part I: The Powell--Hestenes--Rockafellar Penalty Function \\ 8.2. The Powell--Hestenes Penalty Function / 221 \\ 8.3. The Rockafellar Generalization / 225 \\ \\ Part II: Methods Which Solve Linearly Constrained Subproblems \\ 8.4. Murray's Method / 228 \\ 8.5. Methods with Second-order Convergence / 230 \\ \\ Part III: Exact Penalty Functions \\ 8.6. Fletcher's Method / 235 \\ \\ IX: Algorithms and Future Developments / P. E. Gill and W. Murray \\ 9.1. Introduction / 241 \\ 9.2. Sources of Computer Listings / 242 \\ 9.3. Test Problems and Comparative Evaluation of Algorithms 243 \\ 9.4. Unconstrained Optimization ve / 246 \\ 9.5. Linearly Constrained Optimization / 247 \\ 9.6. Nonlinearly Constrained Optimization / 248 \\ 9.7. Global Optimization / 250 \\ 9.8. Convergence Proofs and Rates of Convergence /254 \\ 9.9. Scaling / 257 \\ References / 261 \\ Author Index / 269 \\ Subject Index / 273", } @Proceedings{Dixon:1976:OAP, editor = "L. C. W. (Laurence Charles Ward) Dixon", booktitle = "Optimization in Action: proceedings of the {Conference on Optimization in Action held at the University of Bristol in January 1975}", title = "Optimization in Action: proceedings of the {Conference on Optimization in Action held at the University of Bristol in January 1975}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, bookpages = "xi + 622", pages = "xi + 622", year = "1976", ISBN = "0-12-218550-1", ISBN-13 = "978-0-12-218550-2", LCCN = "QA402.5 .C62 1975", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", tableofcontents = "A survey of methods for minimizing sums of squares of nonlinear functions / Shirley A. Lill \\ Smoothed non-functional interpretations of statistical and experimental data / P. M. Foster \\ Parameterization of nonlinear least square fitting problems / A. R. Curtis \\ Use of optimization techniques in optical filter design / Heather M. Liddell \\ An application of optimization techniques to the design of an optical filter / J. J. McKeown and A. Nag \\ Least squares fitting of McConologue arcs / D. R. Divall \\ A view of unconstrained optimization / M. J. D. Powell \\ Optimization of frequency selective electrical networks / J. K. Fidler and R. E. Massara \\ The choice of design parameters for overhead line vibration dampers / D. A. D. Cooke and M. D. Rowbottom \\ Progress in the development of a modularized package of algorithms for optimization problems / K. Brown, M. Minkoff, K. Hillstrom, L. Nazareth, J. Pool and B. Smith \\ Discussion session on unconstrained optimization \\ Methods for constrained optimization / Walter Murray \\ Nonlinear optimization in industry and the development of optimization programs / F. A. Lootsma \\ Optimum design of plate distillation columns / R. W. H. Sargent and K. Gaminibandara \\ The development of computer optimization procedures for use in aero engine design / A. H. O. Brown \\ Optimization of aircraft designs at the initial project stage / B. A. M. Piggott \\ Discussion session on constrained optimization \\ An approach to the optimal scheduling of an electric power system / M. C. Biggs \\ A dynamic programming algorithm for optimizing system performance / A. W. Clarke \\ Reflections on the global optimization problem / L. C. W. Dixon, J. Gomulka and S. E. Hersom \\ Multiple minima in a model matching problem / M. G. Brown \\ Optimization techniques based on linear programming / E. M. Beale \\ Power system scheduling using integer programming / D. W. Wells \\ Applications of geometric programming to building design problems / John Bradley and H. M. Clyne \\ Optimization in the presence of noise: a guided tour / Peter Young \\ Identification of polynomial coefficients of a missile system using flight trials data / D. Crombie \\ A programming approach to urban structure planning / L. Pearl", } @Proceedings{Watson:1976:NA, editor = "G. Alistair Watson", booktitle = "Numerical analysis ({Proc. 6th Biennial Dundee Conf., Univ. Dundee, Dundee, 1975})", title = "Numerical analysis ({Proc. 6th Biennial Dundee Conf., Univ. Dundee, Dundee, 1975})", volume = "506", publisher = pub-SV, address = pub-SV:adr, bookpages = "x + 201", pages = "x + 201", year = "1976", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0080109", ISBN = "3-540-07610-7 (print), 3-540-38129-5 (e-book)", ISBN-13 = "978-3-540-07610-0 (print), 978-3-540-38129-7 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", LCCN = "QA3.L28 no. 506", bibdate = "Wed Nov 22 07:56:44 MST 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", URL = "http://www.springerlink.com/content/978-3-540-38129-7", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Mathematics", series-URL = "http://link.springer.com/bookseries/304", xxpages = "xii + 204", } @Proceedings{Jacobs:1977:SAN, editor = "David A. H. Jacobs", booktitle = "{The State of the Art in Numerical Analysis: Proceedings of the Conference on the State of the Art in Numerical Analysis held at the University of York, April 12th--15th, 1976}", title = "{The State of the Art in Numerical Analysis: Proceedings of the Conference on the State of the Art in Numerical Analysis held at the University of York, April 12th--15th, 1976}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xix + 978", year = "1977", ISBN = "0-12-378650-9", ISBN-13 = "978-0-12-378650-0", LCCN = "QA297 .C646 1976", bibdate = "Tue Mar 20 14:45:09 MDT 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib; https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, meetingname = "Conference on the State of the Art in Numerical Analysis, York, Eng., 1976.", subject = "Numerical analysis; Congresses", xxbooktitle = "The state of the art in numerical analysis ({Proceedings of the Conference, University of York, Heslington, 1976})", } @Proceedings{Powell:1977:CDJ, editor = "M. J. D. Powell", booktitle = "The Contribution of {Dr. J. H. Wilkinson} to numerical analysis: Proceedings of a symposium \ldots{} held in {London} on {July 6th, 1977}", title = "The Contribution of {Dr. J. H. Wilkinson} to numerical analysis: Proceedings of a symposium \ldots{} held in {London} on {July 6th, 1977}", number = "19", publisher = pub-IMA, address = pub-IMA:adr, bookpages = "viii + 91", pages = "viii + 91", year = "1977", LCCN = "QA297.C66 1978", bibdate = "Tue Aug 15 18:51:43 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib", series = "IMA Symposium Proceedings", editor-dates = "Michael James David Powell (29 July 1936--19 April 2015)", subject-dates = "James H. Wilkinson (27 September 1919--5 October 1986)", tableofcontents = "Foreword / M. J. D. Powell (University of Cambridge) / vii \\ All About Jim Wilkinson, with a Commemorative Snippet on Backward Error Analysis / L. Fox (Oxford University Computing Laboratory) / 1--20 \\ Inverse Iteration, Newton's Method, and Non-linear Eigenvalue Problems / M. R. Osborne (Australian National University) / 21--53 \\ A New Look at Error Analysis / C. W. Clenshaw (University of Lancaster) / 54--74 \\ A Problem in Numerical Linear Algebra / J. H. Wilkinson (National Physical Laboratory) / 75--91", xxISBN = "none", xxnote = "TO DO: check page range of last paper: 75--95 or 76--91??", } @Proceedings{Rice:1977:MSI, editor = "John R. Rice", booktitle = "{Mathematical software III: Proceedings of a symposium conducted by the Mathematics Research Center, the University of Wisconsin--Madison, March 28--30, 1977}", title = "{Mathematical software III: Proceedings of a symposium conducted by the Mathematics Research Center, the University of Wisconsin--Madison, March 28--30, 1977}", number = "39", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, bookpages = "ix + 388", pages = "ix + 388", year = "1977", DOI = "https://doi.org/10.1016/C2013-0-11364-5", ISBN = "0-12-587260-7", ISBN-13 = "978-0-12-587260-7", LCCN = "QA3 .U45 no. 39; QA297 .M36 1977", bibdate = "Fri Dec 08 08:24:52 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib; https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/fparith.bib; https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/Bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/unix.bib", series = "Publication of the Mathematics Research Center, the University of Wisconsin, Madison", URL = "https://www.sciencedirect.com/book/9780125872607/mathematical-software", acknowledgement = ack-nhfb, shorttableofcontents = "Contributors / / vii \\ Preface / / ix \\ Research, Development, and UNPACK / G. W. Stewart / 1 \\ A Technique that Gains Speed and Accuracy in the Minimax Solution of Overdetermined Linear Equations / M. J. Hopper and M. J. D. Powell / 15 \\ Infallible Calculation of Polynomial Zeros to Specified Precision / G. E. Collins / 35 \\ Representation and Approximation of Surfaces / Robert E. Barnhill / 69 \\ Simulation: Conflicts between Real-Time and Software / C. W. Gear / 121 \\ Mathematical Software and Exploratory Data Analysis / David C. Hoaglin / 139 \\ Software for $C^1$ Surface Interpolation / C. L. Lawson / 161 \\ Mathematical Software Production / W. R. Cowell and L. D. Fosdick / 195 \\ Computational Aspects of the Finite Element Method / I. Babuska and W. Rheinboldt / 225 \\ The Art of Writing a Runge-Kutta Code, Part I / L. F. Shampine and H. A. Watts / 257 \\ Multi-Level Adaptive Techniques (MLAT) for Partial Differential Equations: Ideas and Software / Achi Brandt / 277 \\ ELLPACK: A Research Tool for Elliptic Partial Differential Equations Software / John R. Rice / 319 \\ A Realistic Model of Floating-Point Computation / W. S. Brown / 343 \\ The Block Lanczos Method for Computing Eigenvalues / G. H. Golub and R. Underwood / 361 \\ Index / / 379", tableofcontents = "Contributors \\ Preface \\ \\ 1: Research, Development, and Linpack \\ Abstract \\ 1. Introduction \\ 2. Estimation of Condition Numbers \\ 3. Stability of Least Squares Solutions \\ 4. Scaling and Column Elimination \\ 5. Downdating \\ 6. Timing the BLAS \\ References \\ \\ 2: A Technique That Gains Speed and Accuracy in the Minimax Solution of Overdetermined Linear Equations \\ Abstract \\ 1. Introduction \\ 2. Numerical Instability in the Exchange Algorithm \\ 3. The New Technique \\ 4. Theory \\ 5. Discussion \\ References \\ \\ 3: Infallible Calculation Of Polynomial Zeros To Specified Precision \\ Abstract \\ 1. Introduction \\ 2. Preliminaries \\ 3. Sturm Sequences For Real Zeros \\ 4. Sturm Sequences For Complex Zeros \\ 5. Rolle's Theorem For Real Zeros \\ 6. Descartes' Theorem For Real Zeros \\ 7. Application of Interval Arithmetic \\ 8. Complex Zeros Without Sturm Sequences \\ References \\ \\ 4: Representation and Approximation of Surfaces \\ Abstract \\ 1. Introduction \\ 2. Interpolation Methods Defined Over Rectangles \\ 3. Interpolation Schemes Defined Over Triangles \\ 4. Interpolation Methods For Arbitrarily Placed Data 5. Conclusions \\ References \\ Acknowledgements \\ \\ 5: Simulation: Conflicts Between Real-Time And Software \\ Abstract \\ 1. Introduction \\ 2. Simulation \\ 3. Real-Time Operation \\ 4. Numerical Integration in Real-Time \\ 5. Errors in Numerical Integration \\ 6. Methods For Reducing Delay and Improving Stability \\ 7. Conclusions \\ References \\ \\ 6: Mathematical Software and Exploratory Data Analysis \\ Abstract \\ 1. Introduction \\ 2. Overview of Exploratory Data Analysis \\ 3. An Example: Timing Data \\ 4. Software Needs of Exploratory Data Analysis \\ 5. Summary \\ References \\ \\ 7: Software For $C^1$ Surface Interpolation \\ 1. Introduction \\ 2. Problem Statement \\ 3. Expected Applications \\ 4. Published Work On Surface Interpolation To Irregularly Located Data \\ 5. Outline of the Algorithmic Approach Selected \\ 6. Constructing a Triangular Grid \\ 7. Estimating Partial Derivatives At the Grid Nodes \\ 8. Lookup in the Triangular Grid \\ 9. Interpolation in a Triangle \\ 10. Examples \\ 11. Three Criteria For Triangulation of a Strictly Convex Quadrilateral \\ 12. Global Consequences of the Local Optimization Procedure \\ 13. Mclain's Triangulation Method \\ 14. Limits On Grid Changes When Adding a New Point \\ 15. Conclusions \\ References \\ \\ 8: Mathematical Software Production \\ Abstract \\ I. Introduction \\ II. The Evolution of Mathematical Software Production \\ III. Intellectual Challenges \\ IV. Projects To Produce Mathematical Software \\ V. Trends in Mathematical Software Production \\ References \\ \\ 9: Computational Aspects of the Finite Element Method \\ 1. Introduction \\ 2. Goals of the Computational Analysis \\ 3. The Principal Stages of the Computational Analysis \\ 4. Some Software Aspects \\ 5. Some Computational Results \\ References", } @Proceedings{Mangasarian:1978:CVM, editor = "Olvi L. Mangasarian and Robert R. Meyer and Stephen M. Robinson", booktitle = "Nonlinear Programming, 3 ({Proceedings of the Symposium, Special Interest Group on Mathematical Programming, University of Wisconsin, Madison, Wisconsin, July 11--13, 1977})", title = "Nonlinear Programming, 3 ({Proceedings of the Symposium, Special Interest Group on Mathematical Programming, University of Wisconsin, Madison, Wisconsin, July 11--13, 1977})", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, bookpages = "ix + 475", pages = "ix + 475", year = "1978", ISBN = "0-12-486660-3, 0-12-468660-3", ISBN-13 = "978-0-12-486660-7, 978-0-12-468660-1", LCCN = "QA402.5; T57.8 N67 1978", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", tableofcontents = "Contributors \\ Preface \\ 1: Monotone Operators and Augmented Lagrangian Methods in Nonlinear Programming \\ Abstract \\ 1. Introduction \\ 2. Monotone Operators and Variational Inequalities \\ 3. Proximal Point Algorithm for Monotone Operators \\ 4. Application to Convex Programming \\ 5. Application to Variational Inequalities \\ References \\ 2: The Convergence of Variable Metric Methods for Nonlinearly Constrained Optimization Calculations \\ Abstract \\ 1. Introduction \\ 2. Some Conditions and Their Consequences \\ 3. A General Theorem Eor Superlinear Convergence \\ 4. The Definition of Bk+1 \\ 5. An R-superlinear Convergence Theorem \\ Acknowledgment \\ References \\ 3: A Hybrid Method for Nonlinear Programming \\ Abstract \\ 1. Introduction \\ 2. The Method \\ 3. Global Properties \\ 4. Local Properties \\ 5. Conclusions \\ References \\ 4: Two-phase Algorithm for Nonlinear Constraint Problems \\ Abstract \\ 1. Introduction \\ 2. Linearization of Nonlinear Constraints \\ 3. External Squared Penalty \\ 4. Practical Implementation \\ 5. Discussion \\ References \\ 5: Quasi-Newton Methods for Equality Constrained Optimization: Equivalence of Existing Methods and a New Implementation \\ 1. Introduction \\ 2. The Multiplier Extension Quasi-Newton Methods \\ 3. The Structured Multiplier Extension Quasi-Newton Methods \\ 4. The Multiplier Update Quasi-Newton Methods \\ 5. The Balanced Multiplier Update Quasi-Newton Methods \\ 6. The Quadratic Programming Quasi-Newton Method \\ 7. The Addition of Superstructure \\ 8. The Multiplier Substitution Quasi-Newton Methods \\ 9. The Structured Multiplier Substitution Quasi-Newton Methods \\ 10. The Best of the Multiplier Quasi-Newton Methods \\ 11. An Implementation Based on the SVD \\ References \\ 6: An Idealized Exact Penalty Function \\ Abstract \\ 1. Introduction \\ 2. Movement of a Particle under Different Forces \\ 3. Fletcher's Exact Penalty Function (equality Case) \\ 4. The Inequality Constrained Problem \\ 5. Fletcher's Exact Penalty Function (inequality Case) \\ References \\ 7: Exact Penalty Algorithms for Nonlinear Programming \\ Abstract \\ 1. Introduction \\ 2. Definitions and Notations \\ 3. Stationary Points of the Exact Penalty Function and Optimality Functions \\ 4. Description of the Algorithm \\ 5. Rate of Convergence of the Exact Penalty Algorithms \\ 6. Computational Results \\ 7. Additional Results \\ Acknowledgments \\ References \\ 8: A Variable Metric Method for Linearly Constrained Minimization Problems \\ 1. Introduction \\ 2. General Description of the Algorithm \\ 3. Detailed Statement of the Algorithm \\ 4. Superlinear Convergence \\ References \\ 9: Solving Systems of Nonlinear Equations by Broyden's Method with Projected Updates \\ Abstract \\ 1. Introduction \\ 2. The New Method \\ 3. Behavior on Linear or Partly Linear Problems", xxnote = "TO DO: Check likely digit transposition in ISBN??", } @Proceedings{Watson:1978:NAP, editor = "G. A. Watson", booktitle = "{Numerical Analysis: Proceedings of the Biennial Conference Held at Dundee, June 28--July 1, 1977}", title = "{Numerical Analysis: Proceedings of the Biennial Conference Held at Dundee, June 28--July 1, 1977}", volume = "630", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 199", year = "1978", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0067690", ISBN = "3-540-08538-6 (print), 3-540-35972-9 (e-book)", ISBN-13 = "978-3-540-08538-6 (print), 978-3-540-35972-2 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", LCCN = "QA3 .L28 no. 630; QA1 .L471 v.630", bibdate = "Tue May 6 14:52:49 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/lnm1975.bib", series = ser-LECT-NOTES-MATH, URL = "http://link.springer.com/book/10.1007/BFb0067690; http://www.springerlink.com/content/978-3-540-35972-2", acknowledgement = ack-nhfb, series-URL = "http://link.springer.com/bookseries/304", tableofcontents = "Front Matter / n2--xii \\ Christopher T. H. Baker / Runge--Kutta methods for Volterra integral equations of the second kind / 1--13 \\ Ian Barrodale / Best approximation of complex-valued data / 14--22 \\ D. Boley, G. H. Golub / Inverse eigenvalue problems for band matrices / 23--31 \\ J. S. R. Chisholm / Multivariate approximants with branch points / 32--40 \\ Lothar Collatz / The numerical treatment of some singular boundary value problems / 41--50 \\ M. G. Cox / The incorporation of boundary conditions in spline approximation problems / 51--63 \\ Jim Douglas, Jr., Todd Dupont, Peter Percell / A time-stepping method for Galerkin approximations for nonlinear parabolic equations / 64--75 \\ Alan George / An automatic one-way dissection algorithm for irregular finite element problems / 76--89 \\ A. R. Mitchell, D. F. Griffiths / Generalised Galerkin methods for second order equations with significant first derivative terms / 90--104 \\ Jorge J. Mor{\'e} / The Levenberg--Marquardt algorithm: Implementation and theory / 105--116 \\ M. R. Osborne, G. A. Watson / Nonlinear approximation problems in vector norms / 117--132 \\ V. Pereyra / Finite difference solution of two-point boundary value problems and symbolic manipulation / 133--143 \\ M. J. D. Powell / A fast algorithm for nonlinearly constrained optimization calculations / 144--157 \\ R. W. H. Sargent / The decomposition of systems of procedures and algebraic equations / 158--178 \\ H. J. Stetter / Global error estimation in ODE-solvers / 179--189 \\ Eugene L. Wachspress / Isojacobic crosswind differencing / 190--199 \\ Back Matter / 201--203", } @Proceedings{Glowinski:1979:CMA, editor = "R. Glowinski and J.-L. (Jacques-Louis) Lions", booktitle = "Computing Methods in Applied Sciences and Engineering ({Proceedings of the Third International Symposium, Versailles, December 5--9, 1977}), {I}", title = "Computing Methods in Applied Sciences and Engineering ({Proceedings of the Third International Symposium, Versailles, December 5--9, 1977}), {I}", volume = "1; 704", publisher = pub-SV, address = pub-SV:adr, bookpages = "vi + 391", pages = "vi + 391", year = "1979", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0063609", ISBN = "0-387-09123-8 (New York), 3-540-09123-8 (Berlin, Heidelberg), 3-540-35411-5 (e-book)", ISBN-13 = "978-0-387-09123-5 (New York), 978-3-540-09123-3 (Berlin, Heidelberg), 978-3-540-35411-6 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", LCCN = "QA3 .L28 no. 704", bibdate = "Wed Nov 22 07:56:53 MST 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = ser-LECT-NOTES-MATH, URL = "http://www.springerlink.com/content/978-3-540-35411-6", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", series-URL = "http://link.springer.com/bookseries/304", tableofcontents = "Sur Certains Aspects Qualitatifs de la Th{\'e}orie des {\'E}quations aux Deriv{\'e}es Partielles \\ Les Probl{\`e}mes Mal Pos{\'e}s et les Probl{\`e}mes Math{\'e}matiques de Traitement Automatique de R{\'e}sultats d'Experiences \\ Iterative methods in numerical solution of differential equations \\ Numerical methods for complementarity problems in engineering and applied science \\ Optimisation non Differentiable: M{\'e}thodes de Faisceaux \\ Variable metric methods for constrained optimization \\ Constant strain finite elements \\ Computation of eddy currents on a surface in R3 by finite element methods \\ The club MODULEF \\ Finite element analysis for stress intensity factors \\ The Sommerfeld (radiation) condition on infinite domains and its modelling in numerical procedures \\ On the finite element approximation for evolution equations of parabolic type \\ Special applications of Hamilton's principle to structural dynamics \\ Constructive methods for bifurcation and nonlinear eigenvalue problems \\ Finite element approximations to bifurcation problems of turning point type \\ On numerical deformation of singularities in nonlinear elasticity \\ Numerical methods for free surface problems by means of penalty \\ A family of model problems in plasticity \\ The computational aspects of the homogenization problem \\ Asymptotics for branching transport processes \\ Numerical experiments of the homogenization method \\ A homogenized multigroup diffusion theory for the neutron transport equation \\ Estimation de Coefficients Homogenis{\'e}s \\ Some applications of computational mathematics to medical problems", } @Proceedings{Prekopa:1979:SMP, editor = "A. (Andr{\'a}s) Pr{\'e}kopa", booktitle = "{Survey of mathematical programming: proceedings of the 9th International Mathematical Programming Symposium, Budapest, August 23-27, 1976}", title = "{Survey of mathematical programming: proceedings of the 9th International Mathematical Programming Symposium, Budapest, August 23-27, 1976}", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, bookpages = "550 + 590 + 414", pages = "550 + 590 + 414", year = "1979", ISBN = "0-444-85033-3 (hardcover)", ISBN-13 = "978-0-444-85033-1 (hardcover)", LCCN = "QA402.5", bibdate = "Wed Nov 22 07:56:25 MST 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, } @Proceedings{Ciesielski:1980:PIC, editor = "Zbigniew Ciesielski and Czes{\'y}aw Olech", booktitle = "{Proceedings of the International Congress of Mathematicians, August 16--24, 1983}", title = "{Proceedings of the International Congress of Mathematicians, August 16--24, 1983}", publisher = "PWN - Polish Scientific Publishers", address = "Warszawa, Poland", bookpages = "lxii + 1--848 (vol. 1), x + 849--1730 (vol. 2)", pages = "lxii + 1--848 (vol. 1), x + 849--1730 (vol. 2)", year = "1980", ISBN = "0-444-86659-0 (vol. 1), 0-444-86660-4 (vol. 2), 0-444-86661-2, 83-01-05523-5 (Polish Scientific Publishers)", ISBN-13 = "978-0-444-86659-2 (vol. 1), 978-0-444-86660-8 (vol. 2), 978-0-444-86661-5, 978-83-01-05523-3 (Polish Scientific Publishers)", LCCN = "QA37.2; QA1C56 1983", MRclass = "084 00B25", bibdate = "Wed Nov 22 07:57:10 MST 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", meetingname = "International Congress of Mathematicians 1983 Warszawa", subject = "matematika; konferencia", } @Proceedings{Dixon:1980:NOT, editor = "L. C. W. (Laurence Charles Ward) Dixon and E. Spedicato and G. P. Szeg{\"o}", booktitle = "{Nonlinear optimisation, theory and algorithms: (the proceedings of an international summer school held at University of Bergamo, Italy, in September 1979 and repeated at the Hatfield Polytechnic, England, in July 1980)}", title = "{Nonlinear optimisation, theory and algorithms: (the proceedings of an international summer school held at University of Bergamo, Italy, in September 1979 and repeated at the Hatfield Polytechnic, England, in July 1980)}", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, bookpages = "vi + 486", pages = "vi + 486", year = "1980", ISBN = "3-7643-3020-1", ISBN-13 = "978-3-7643-3020-0", LCCN = "QA402.5 .N65", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", } @Proceedings{Powell:1982:NOP, editor = "M. J. D. Powell", booktitle = "Nonlinear Optimization 1981: [proceedings of the {NATO Advanced Research Institute held at Cambridge in July 1981 which was sponsored by the special programme panel on systems science of the NATO science Committee and the Mathematical Programming Society}]", title = "Nonlinear Optimization 1981: [proceedings of the {NATO Advanced Research Institute held at Cambridge in July 1981 which was sponsored by the special programme panel on systems science of the NATO science Committee and the Mathematical Programming Society}]", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, bookpages = "xvii + 559", pages = "xvii + 559", year = "1982", ISBN = "0-12-563860-4", ISBN-13 = "978-0-12-563860-9", LCCN = "QA402.5 .N66 1981", MRclass = "90C30", MRnumber = "775347", bibdate = "Sat Aug 9 16:18:15 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib; https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "NATO Conf. Ser. II: Systems Sci.", acknowledgement = ack-nhfb, editor-dates = "Michael James David Powell (29 July 1936--19 April 2015)", tableofcontents = "Participants / v \\ Preface / xi \\ \\ Part 1 Unconstrained Optimization \\ \\ 1.1 Unconstrained Optimization in 1981 / Robert B. Schnabel / 3 \\ 1.2 Conjugate Gradient Methods / A. Buckley / 17 \\ 1.3 Conjugate Directions for Conic Functions / William C. Davidon / 23 \\ 1.4 Trust Region Methods for Unconstrained Optimization / D. C. Sorensen / / 29 \\ 1.5 The Use of Ordinary Differential Equations in the Solution of Nonlinear Systems of Equations / Francesco Zirilli / 39 \\ 1.6--1.43 Discussion on ``Unconstrained Optimization'' / / 47 \\ \\ Part 2 Nonlinear Fitting \\ \\ 2.1 Algorithms for Nonlinear Fitting / J. E. Dennis Jr. / 67 \\ 2.2 Algorithms for Robust Regression / R. H. Byrd / 79 \\ 2.3 Nondifferentiable Optimization / Claude Lemar{\'e}chal / 85 \\ 2.4 Algorithms for Nonlinear $\ell_1$ and $\ell_\infty$ Fitting / Michael L. Overton / 91 \\ 2.5--2.49 Discussion on ``Nonlinear Fitting'' / / 103 \\ \\ Part 3 Linear Constraints \\ \\ 3.1 Linearly Constrained Optimization / Philip E. Gill, Walter Murray, Michael A. Saunders and Margaret H. Wright / 123 \\ 3.2 Numerically Stable Approaches to Linearly Constrained Optimization / D. Goldfarb / 141 \\ 3.3 Fixed-point Methods for Linear Constraints / Michael J. Todd / 147 \\ 3.4 Computational Testing of a Large Scale Linearly Constrained Nonlinear Optimization Code / David F. Shanno / 155 \\ 3.5--3.61 Discussion on ``Linear Constraints'' / / 161 \\ \\ Part 4 Nonlinear Constraints \\ \\ 4.1 Methods for Nonlinear Constraints / R. Fletcher / 185 \\ 4,2 Recursive Quadratic Programming Methods for Nonlinear Constraints / M. C. Bartholomew-Biggs / 213 \\ 4.3 Augmented Lagrangian and Differentiable Exact Penalty Methods / Dimitri P. Bertsekas / 223 \\ 4.4 Penalty Function Methods / A. R. Conn / 235 \\ 4.5 Reduced Gradient Methods / L. S. Lasdon / 243 \\ 4.5--4.71 Discussion on ``Nonlinear Constraints'' / 251 \\ \\ Part 5 Large Nonlinear Problems \\ \\ 5.1 Algorithms for Very Large Nonlinear Optimization Problems / E. M. L. Beale / 281 \\ 5.2 The Implications of Modelling Systems on Large Scale Nonlinear Optimization Codes / Arne Drud / 293 \\ 5.3 On the Unconstrained Optimization of Partially Separable Functions / A. Griewank and Ph. L. Toint / 301 \\ 5.4 Local Piecewise Linear Approximation Methods / R. R. Meyer / 313 \\ 5.5--5.48 Discussion on ``Large Nonlinear Problems'' / 319 \\ \\ Part 6 The Current State of Software \\ \\ 6.1 Notes on Optimization Software / Jorge J. Mor{\'e} / 339 \\ 6.2 The Current State of Optimization Software: A User's Point of View / Thomas E. Baker / 353 \\ 6.3 Large Scale Nonlinear Optimization / R. S. Dembo / 361 \\ 6.4 The Current State of Constrained Optimization Software / Klaus Schittkowski / 373 \\ 6.5 Software for Constrained Optimization / Philip E. Gill, Walter Murray, Michael A. Saunders and Margaret H. Wright / 381 \\ 6.6--6.55 Discussion on ``The Current State of Software'' / 395 \\ \\ Part 7 Future Software and Testing \\ \\ 7.1 Performance Evaluation of Nonlinear Optimization Methods via Multi-Criteria Decision Analysis and via Linear Model Analysis / F. A. Lootsma / 419 \\ 7.2 Testing MP Software: A History and Projection / Richard H. F. Jackson / 455 \\ 7.3 Parallel Computers and their Impact on Numerical Algorithms and Related Software / J. S. Kowalik / 459 \\ 7.4 A Proposal for the Establishment of an Optimization Software Testing Center / K. M. Ragsdell / 465 \\ 7.5--7.55 Discussion on ``Future Software and Testing'' / 469 \\ List of Research Seminars / 489 \\ References / 493 \\ Index / 541", } @Proceedings{Watson:1982:NAP, editor = "George Alistair Watson", booktitle = "{Numerical Analysis: Proceedings of the 9th Biennial Conference, held at Dundee, Scotland, June 23--26, 1981}", title = "{Numerical Analysis: Proceedings of the 9th Biennial Conference, held at Dundee, Scotland, June 23--26, 1981}", volume = "912", publisher = pub-SV, address = pub-SV:adr, bookpages = "xi + 245", pages = "xi + 245", year = "1982", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0093144", ISBN = "0-387-11199-9 (softcover), 3-540-11199-9 (softcover), 3-540-39009-X (e-book)", ISBN-13 = "978-0-387-11199-5 (softcover), 978-3-540-11199-3 (softcover), 978-3-540-39009-1 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", LCCN = "QA3 .L28 no. 912; QA1 .L471; QA297 .D915n 1981", bibdate = "Sat Oct 29 15:16:39 1994", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib; https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/lnm1980.bib; library.ox.ac.uk:210/ADVANCE; melvyl.cdlib.org:210/CDL90", series = ser-LECT-NOTES-MATH, URL = "http://www.springerlink.com/content/978-3-540-39009-1", acknowledgement = ack-nhfb, subject = "Analisi numerica; Congressi; 1981; Dundee; Numerical analysis; Congresses", tableofcontents = "P. H. Calamai and A. R. Conn / A second-order method for solving the continuous multifacility location problem / 1--25 \\ M. P. Cullinan and M. J. D. Powell / Data smoothing by divided differences / 26--37 \\ G. Dahlquist / On the control of the global error in stiff initial value problems / 38--49 \\ L. M. Delves / Chebyshev methods for integral and differential equations / 50--63 \\ J. Douglas, Jr. / Simulation of miscible displacement in porous media by a modified method of characteristic procedure / 64--70 \\ I. S. Duff / Full matrix techniques in sparse Gaussian elimination / 71--84 \\ R. Fletcher / Second order corrections for non-differentiable optimization / 85--114 \\ C. W. Gear and K. A. Gallivan / Automatic methods for highly oscillatory ordinary differential equations / 115--124 \\ G. H. Golub and M. L. Overton / Convergence of a two-stage Richardson iterative procedure for solving systems of linear equations / 125--139 \\ J. G. Hayes: Curved knot lines and surfaces with ruled segments / 140--156 \\ P. J. van der Houwen / On the time integration of parabolic differential equations / 157--168 \\ T. E. Hull / Precision control, exception handling and a choice of numerical algorithms / 169--178 \\ P. Lancaster / Generalized Hermitian matrices: a new frontier for numerical analysis? / 179--189 \\ R. J. Y. McLeod / Some applications of geometry in numerical analysis / 190--229 \\ L. B. Wahlbin / A quasioptimal estimate in piecewise polynomial Galerkin approximation of parabolic problems / 230 --245 \\ Back matter / 249--251", } @Proceedings{Bachem:1983:MPS, editor = "Achim Bachem and Martin Gr{\"o}tschel and B. Korte", booktitle = "Mathematical Programming: the State of the Art [proceedings of the {XI international symposium on mathematical programming held at the University of Bonn, from August 23 to 27, Bonn 1982}]", title = "Mathematical Programming: the State of the Art [proceedings of the {XI international symposium on mathematical programming held at the University of Bonn, from August 23 to 27, Bonn 1982}]", publisher = pub-SV, address = pub-SV:adr, bookpages = "viii + 655", pages = "viii + 655", year = "1983", ISBN = "0-387-12082-3 (New York), 3-540-12082-3 (Berlin)", ISBN-13 = "978-0-387-12082-9 (New York), 978-3-540-12082-7 (Berlin)", LCCN = "QA402.5 .M3529 1983", bibdate = "Wed Nov 22 07:57:00 MST 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, tableofcontents = "I. About the XIth International Symposium on Mathematical Programming / 1 \\ Program and Organizing Committee / 1 \\ Welcoming Addresses / 3 \\ List of Sponsors / 8 \\ The Fulkerson Prize and the Dantzig Prize 1982 / 9 \\ II. Mathematical Programming: The State of the Art --- Bonn 1982 / 13 \\ E. L. Allgower and K. Georg / Predictor-Corrector and Simplicial Methods for Approximating Fixed Points and Zero Points of Nonlinear Mappings / 15 \\ L. J. Billera / Polyhedral Theory and Commutative Algebra / 57 \\ G. B. Dantzig / Reminiscences About the Origins of Linear Programming / 78 \\ R. Fletcher / Penalty Functions / 87 \\ R. L. Graham / Applications of the FKG Inequality and its Relatives / 115 \\ S.-{\AA}. Gustafson and K. O. Kortanek / Semi-Infinite Programming and Applications / 132 \\ M. Iri / Applications of Matroid Theory / 158 \\ E. L. Lawler / Recent Results in the Theory of Machine Scheduling / 202 \\ L. Lov{\'a}sz / Submodular Functions and Convexity / 235 \\ J. J. Mor{\'e} / Recent developments in Algorithms and Software for Trust Region Methods / 258 \\ M. J. D. Powell / Variable Metric Methods for Constrained Optimization / 288 \\ W. R. Pulleyblank / Polyhedral Combinatorics / 312 \\ Stephen M. Robinson / Generalized Equations / 346 \\ R. T. Rockafellar / Generalized Subgradients in Mathematical Programming / 368 \\ J. Rosenm{\"u}ller / Nondegeneracy Problems in Cooperative Game Theory / 391 \\ R. B. Schnabel / Conic Methods for Unconstrained Minimization and Tensor Methods for Nonlinear Equations / 417 \\ A. Schrijver / Min-Max Results in Combinatorial Optimization / 439 \\ N. Z. Shor / Generalized Gradient Methods of Non-Differentiable Optimization Employing Space Dilatation Operations / 501 \\ S. Smale / The Problem of the Average Speed of the Simplex Method / 530 \\ J. Stoer / Solution of Large Linear Systems of Equations by Conjugate Gradient Type Methods / 540 \\ R. J.-B. Wets / Stochastic Programming: Solution Techniques and Approximation Schemes / 566 \\ III. Scientific Program / 605 \\ IV. List of Authors / 649", } @Proceedings{Chui:1983:ATP, editor = "Charles K. Chui and Larry L. Schumaker and J. D. Ward", booktitle = "{Approximation theory: Proceedings of the International Symposium, Texas A\&M University, College Station, Texas, January 10--14, 1983}", title = "{Approximation theory: Proceedings of the International Symposium, Texas A\&M University, College Station, Texas, January 10--14, 1983}", volume = "4", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, bookpages = "xvii + 785", pages = "xvii + 785", year = "1983", ISBN = "0-12-174580-5", ISBN-13 = "978-0-12-174580-6", LCCN = "QA297.5 .I54 1983", bibdate = "Wed Nov 22 07:56:19 MST 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, } @Proceedings{Graves-Morris:1984:RAI, editor = "Peter Russell Graves-Morris and Edward B. Saff and Richard S. Varga", booktitle = "{Rational Approximation and Interpolation: Proceedings of the United Kingdom--United States Conference held at Tampa, Florida, December 12--16, 1983}", title = "{Rational Approximation and Interpolation: Proceedings of the United Kingdom--United States Conference held at Tampa, Florida, December 12--16, 1983}", volume = "1105", publisher = pub-SV, address = pub-SV:adr, bookpages = "xii + 528", pages = "xii + 528", year = "1984", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0072395", ISBN = "3-540-13899-4 (print), 3-540-39113-4 (e-book)", ISBN-13 = "978-3-540-13899-0 (print), 978-3-540-39113-5 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", LCCN = "QA3 .L28 no. 1105; QA3 .L471 no.1105; QA3.L471", bibdate = "Tue May 6 14:54:00 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib; https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib; https://www.math.utah.edu/pub/tex/bib/lnm1980.bib; library.mit.edu:9909/mit01; z3950.loc.gov:7090/Voyager", price = "DM72.00", series = ser-LECT-NOTES-MATH, URL = "http://link.springer.com/book/10.1007/BFb0072395; http://www.springerlink.com/content/978-3-540-39113-5", acknowledgement = ack-nhfb, remark = "Conference on Rational Approximation and Interpolation, held 12/12--16/83 in Tampa, Fla., and sponsored by the U.S. National Science Foundation and the UK Science and Engineering Research Council.", series-URL = "http://link.springer.com/bookseries/304", subject = "Approximation theory; Congresses; Interpolation", } @Proceedings{Boggs:1985:NOP, editor = "Paul T. Boggs and Richard H. Byrd and Robert B. Schnabel", booktitle = "{Numerical optimization 1984: proceedings of the SIAM Conference on Numerical Optimization, Boulder, Colorado, June 12--14, 1984}", title = "{Numerical optimization 1984: proceedings of the SIAM Conference on Numerical Optimization, Boulder, Colorado, June 12--14, 1984}", publisher = pub-SIAM, address = pub-SIAM:adr, bookpages = "xi + 287", pages = "xi + 287", year = "1985", ISBN = "0-89871-054-5", ISBN-13 = "978-0-89871-054-0", LCCN = "QA402.5 .S544 1984", bibdate = "Wed Nov 22 07:55:15 MST 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", meetingname = "SIAM Conference on Numerical Optimization (1984: Boulder, Colo.)", subject = "Mathematical optimization; Congresses; Data processing", } @Proceedings{Iserles:1987:SAN, editor = "A. Iserles and M. J. D. Powell", booktitle = "The State of the Art in Numerical Analysis: Proceedings of the {Joint IMA\slash {SIAM} Conference on the State of the Art in Numerical Analysis held at the University of Birmingham, 14--18 April 1986}", title = "The State of the Art in Numerical Analysis: Proceedings of the {Joint IMA\slash {SIAM} Conference on the State of the Art in Numerical Analysis held at the University of Birmingham, 14--18 April 1986}", volume = "9", publisher = pub-OXFORD, address = pub-OXFORD:adr, bookpages = "xiv + 719", pages = "xiv + 719", year = "1987", ISBN = "0-19-853614-3", ISBN-13 = "978-0-19-853614-7", LCCN = "QA297 .J65 1986; QA297 .S781 1987", bibdate = "Mon Sep 9 14:56:14 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib; https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; https://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib", price = "UK\pounds55.00, US\$77.50", series = "The Institute of Mathematics and Its Applications conference series; new series", URL = "http://www.gbv.de/dms/hbz/toc/ht002967923.pdf; http://zbmath.org/?q=an:0611.00024", ZMnumber = "0611.00024", acknowledgement = ack-nj # " and " # ack-nhfb, confdate = "14--18 April 1986", conflocation = "Birmingham, UK", confsponsor = "Inst. Math. Appl.; SIAM", editor-dates = "Michael James David Powell (29 July 1936--19 April 2015)", pubcountry = "UK", tableofcontents = "Contributors / / xiii \\ 1. Eigenvalue problems / J. H. Wilkinson / 1 \\ 2. Numerical linear algebra in statistical computing / N. J. Higham and G. W. Stewart / 41 \\ 3. Sparse matrices / J. K. Reid / 59 \\ 4. Multivariate approximation / Carl de Boor / 87 \\ 5. Data approximation by splines in one and two independent variables / M. G. Cox / 111 \\ 6. Methods for best approximation and regression problems / G. A. Watson / 139 \\ 7. Branch cuts for complex elementary functions / W. Kahan / 165 \\ 8. Recent developments in linear and quadratic programming / R. Fletcher / 213 \\ 9. Solving systems of nonlinear equations by tensor methods / R. B. Schnabel and P. D. Frank / 245 \\ 10. Numerical methods for bifurcation problems / A. D. Jepson and A. Spence / 273 \\ 11. On the iterative solution of differential and integral equations using secant updating techniques / A. Griewank / 299 \\ 12. Methods for nonlinear constraints in optimization calculations / M. J. D. Powell / 325 \\ 13. The influence of vector and parallel processors on numerical analysis / I. S. Duff / 359 \\ 14. Developments in stability theory for ordinary differential equations / J. D. Lambert / 409 \\ 15. Stiff ODE initial value problems and their solution / A. R. Curtis / 433 \\ 16. Order stars and stability / G. Wanner / 451 \\ 17. The state of the art in the numerical treatment of integral equations / C. T. H. Baker / 473 \\ 18. Strongly elliptic boundary integral equations / W. L. Wendland / 511 \\ 19. Collocation methods for one-dimensional Fredholm and Volterra integral equations / H. Brunner / 563 \\ 20. Numerical methods for free and moving boundary problems / C. W. Cryer / 601 \\ 21. Multigrid methods for elliptic equations / J. Walsh / 623 \\ 22. Galerkin finite element methods and their generalizations / K. W. Morton / 645 \\ 23. Recent developments in the numerical solution of nonlinear conservation laws / S. Osher and P. K. Sweby / 681 \\ Index / 701", } @Proceedings{Mason:1987:AAB, editor = "J. C. Mason and M. G. Cox", booktitle = "{Algorithms for approximation: based on the proceedings of the IMA Conference on Algorithms for the Approximation of Functions and Data, held at the Royal Military College of Science, Shrivenham, July 1985}", title = "{Algorithms for approximation: based on the proceedings of the IMA Conference on Algorithms for the Approximation of Functions and Data, held at the Royal Military College of Science, Shrivenham, July 1985}", volume = "10", publisher = pub-CLARENDON, address = pub-CLARENDON:adr, pages = "xvi + 694 + 8", year = "1987", ISBN = "0-19-853612-7", ISBN-13 = "978-0-19-853612-3", LCCN = "QA221 .A5361 1987; QA221 .I47 1985", bibdate = "Fri Nov 8 18:01:57 MST 2002", bibsource = "ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib; https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", price = "US\$90", series = "The Institute of Mathematics and Its Applications conference series, new series", acknowledgement = ack-nhfb, bibno = "39820", catcode = "G.1.2; G.1.2", CRclass = "G.1.2 Approximation; G.1.2 Approximation; G.1.2 Elementary function approximation", descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, Approximation; Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Elementary function approximation", genterm = "theory; algorithms", guideno = "1987-16080", meetingname = "IMA Conference on Algorithms for the Approximation of Functions and Data (1985: Royal Military College of Science, Shrivenham)", procdate = "The Institute of mathematics and its applications conference series; 10 July 1985", procloc = "Shrivenham, UK", sub = "Proceedings of the IMA Conference on Algorithms for the approximation of functions", subject = "Approximation theory; Data processing; Congresses; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS", tableofcontents = "Preface / v \\ Contributors / xiii \\ \\ I Development of Algorithms \\ \\ 1. Spline Approximation and Smoothing \\ \\ G. T. Anthony and M. G. Cox / The fitting of extremely large data sets by bivariate splines / 5 \\ W. Dahmen / Subdivision algorithms --- recent results, some extensions and further developments / 21 \\ P. Dierckx / Fast algorithms for smoothing data over a disc or a sphere using tensor product splines / 51 \\ T. Lyche and K. M{\o}rken / A discrete approach to knot removal and degree reduction algorithms for splines / 67 \\ R. H. J. Gmelig Meyling / On algorithms and applications for bivariate B-splines / 83 \\ \\ 2. Spline Interpolation and Shape Preservation \\ \\ R. E. Carlson / Shape preserving interpolation / 97 \\ M. G. Cox and H. M. Jones / Shape preserving spline approximation in the $\ell_1$-norm / 115 \\ J. A. Gregory / A review of curve interpolation with shape control / 131 \\ \\ 3. Multivariate Interpolation \\ \\ M. J. D. Powell / Radial basis functions for multivariable interpolation: a review / 143 \\ R. A. Lorentz / On the determinant of a bivariate Birkhoff interpolation problem / 169 \\ A. Le Mehaute / Interpolation with piecewise polynomials in more than one variable / 181 \\ \\ 4. Least Square Methods \\ \\ R. Farwig / Multivariate interpolation of scattered data by moving least squares methods / 193 \\ F. Yoshimoto / Least squares approximation by one-pass methods with piecewise polynomials / 213 \\ \\ 5. Rational Approximation \\ \\ L. N. Trefethen and M. H. Gutknecht / Pad{\'e}, stable Pad{\'e}, and Chebyshev--Pad{\'e} approximation / 227 \\ P. T. Breuer / A new method for real rational uniform approximation / 265 \\ C. B. Dunham / Rationals with repeated poles / 285 \\ A. Iserles and S. P. N{\o}rsett / Error control of rational approximation with a matrix argument / 293 \\ \\ 6. Complex and Nonlinear Approximation \\ \\ K. Madsen / General algorithms for discrete non-linear parameter estimation / 309 \\ G. Opfer / Complex rational approximation with numerical experiments / 327 \\ G. A. Watson / Data fitting by positive sums of exponentials / 337 \\ J. C. Mason and P. Owen / Some simple algorithms for constrained complex and rational approximation / 357 \\ \\ 7. Computer-Aided Design and Blending \\ \\ L. L. Schumaker / Numerical aspects of spaces of piecewise polynomials on triangulations / 373 \\ M. V. Golitschek / The $H$-sets of the blending functions / 407 \\ D. Levin / Multidimensional reconstruction by set-valued approximations/ 421 \\ \\ II Applications \\ \\ 8. Applications in Numerical Analysis \\ \\ H. P. Blatt, A, Iserles and E. B. Saff / Remarks on the behaviour of zeros of best approximating polynomials and rational functions / 437 \\ J. Gilbert and W. A. Light / Multigrid methods and the alternating algorithm / 447 \\ K. Jetter and J. St{\"o}ckler / On the computation of Gauss--Birkhoff quadrature formulas / 459 \\ E. Schock / Error bounds for the solution of integral equations by Galerkin-like methods / 471 \\ N. M. Temme / On the computation of the incomplete gamma functions for large values of the parameters / 479 \\ \\ 9. Applications in Partial Differential Equations \\ \\ J. R. Rice / Adaptive tensor product grids for singular problems / 493 \\ W. Freeden / Harmonic splines for solving boundary value problems of potential theory / 507 \\ D. C. Hanscomb / Recovery of fluid flow fields / 531 \\ L. Reichel / The selection of subspace and collocation points in the boundary collocation method for some plane elliptic boundary problems / 541 \\ \\ 10. Applications in Other Disciplines \\ \\ L. Andersson, K. Holmstr{\"o}m and A. Ruhe / Complex formation constants --- a problem from solution chemistry / 557 \\ D. E. Roberts and P. R. Graves-Morris / The application of generalised inverse rational interpolants in the model analysis of vibrating structures I / 573 \\ A. Daman and J. C. Mason / A generalised cross-validation method for meteorological data with gaps / 595 \\ K. P. Jackson and J. C. Mason / The approximation by complex functions of stresses in cracked domains / 611 \\ J. H. McDonnell / Equally spaced cubic splines for representing time histories / 623 \\ B. L. Rahimi and S. W. Ellacott / Dynamic phase analysis of heart anomalies / 641 \\ \\ III Software \\ \\ J. G. Hayes / NAG algorithms for the approximation of functions and data / 653 \\ G. T. Anthony and M. G. Cox / The National Physical Laboratory's Data Approximation Subroutine Library / 669 \\ \\ M. G. Cox (editor) / Panel Discussion / 689", } @Proceedings{McKenna:1988:IPF, editor = "James McKenna and Roger Temam", booktitle = "{ICIAM '87: proceedings of the First International Conference on Industrial and Applied Mathematics, Paris, France}", title = "{ICIAM '87: proceedings of the First International Conference on Industrial and Applied Mathematics, Paris, France}", publisher = pub-SIAM, address = pub-SIAM:adr, bookpages = "xx + 376", pages = "xx + 376", year = "1988", ISBN = "0-89871-224-6", ISBN-13 = "978-0-89871-224-7", LCCN = "QA1 .I73 1987", bibdate = "Wed Nov 22 07:55:15 MST 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", meetingname = "International Conference on Industrial and Applied Mathematics (1st: 1987: Paris, France)", subject = "Mathematics; Congresses", } @Proceedings{Griffiths:1990:NAP, editor = "David F. (David Francis) Griffiths and G. A. (G. Alistair) Watson", booktitle = "{Numerical analysis 1989: proceedings of the 13th Dundee Conference}", title = "{Numerical analysis 1989: proceedings of the 13th Dundee Conference}", volume = "228", publisher = "Longman Scientific and Technical", address = "Harlow, Essex, England", bookpages = "283", pages = "283", year = "1990", ISBN = "0-470-21586-0 (Wiley), 0-582-05923-2 (paperback)", ISBN-13 = "978-0-470-21586-9 (Wiley), 978-0-582-05923-8 (paperback)", LCCN = "QA297 .D85 1989", bibdate = "Wed Nov 22 15:58:13 MST 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Pitman research notes in mathematics series", acknowledgement = ack-nhfb, meetingname = "Dundee Conference on Numerical Analysis (13th: 1989)", subject = "Numerical analysis; Analyse num{\'y}erique; Numerical analysis.", } @Proceedings{Haussmann:1990:MAI, editor = "Werner Haussmann and Kurt Jetter", booktitle = "Multivariate approximation and interpolation: proceedings of an international workshop held at the {University of Duisburg, August 14--18, 1989}", title = "Multivariate approximation and interpolation: proceedings of an international workshop held at the {University of Duisburg, August 14--18, 1989}", volume = "94", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xiv + 324", year = "1990", DOI = "https://doi.org/10.1007/978-3-0348-5685-0", ISBN = "0-8176-2450-3, 3-7643-2450-3", ISBN-13 = "978-0-8176-2450-7, 978-3-7643-2450-6", LCCN = "QA297.5 .M843 1990", bibdate = "Fri Aug 29 07:55:45 MDT 2025", bibsource = "fsz3950.oclc.org:210/WorldCat", series = "International series of numerical mathematics", acknowledgement = ack-nhfb, subject = "Approximation theory; Congresses; Interpolation; Th{\'e}orie de l'approximation; Congr{\`e}s; Approximation theory; Interpolation", tableofcontents = "Preface / vii--viii \\ List of Participants / ix--xii \\ Scientific Program / xiii--xiv \\ Adaptive approximation of functions with singularities / Yu. B. Brudnyi / 1--9 \\ Construction and applications of interpolation formulas Charles K. Chui / 11--23 \\ Asymptotic nonparametric spline density estimation in several variables / Z. Ciesielski / 25--53 \\ On some recent methods for bivariate shape-preserving interpolation / P. Costantini / 54--68 \\ On stationary subdivision and the construction of compactly supported orthonormal wavelets / Wolfgang Dahmen and Charles A. Micchelli / 69--90 \\ Interpolating subdivision schemes for the generation of curves and surfaces / N. Dyn and D. Levin / 91--106 \\ Approximation of scattered data for meteorological applications / R. Franke / 107--120 \\ Some application of approximation theory to the first boundary value problem of elastostatics / Willi Freeden / 121--129 \\ Approximation by solutions of elliptic boundary value problems / U. Hamann and G. Wildenhain / 131--139 \\ $G^{n - 1}$-functional splines for interpolation and approximation of surfaces and solids / Josef Hoschek, Erich Hartmann, Jinggong Li, and YuYu Feng / 141--154 \\ Lower bounds on the dimension of spaces of bivariate splines / Rong-Qing Jia / 155--165 \\ The use of homogeneous coordinates in spline functions and polynomial interpolation / S. L. Lee / 167--178 \\ An efficient algorithm for $C^k$-simplicial finite element interpolation in $\mathbb{R}^d$ / A. Le M{\'e}haut{\'e} / 179--191 \\ On ridge-type functions with elliptic contour lines / Burkhard Lenze and Franz Locher / 193--204 \\ Polyharmonic splines, multiscale analysis, and entire functions / W. Madych / 205--216 \\ On the exponential eigen splines: Type-2 triangulation / H. ter Morsche / 217--226 \\ Univariate multiquadric approximation: Reproduction of linear polynomials / M. J. D. Powell / 227--240 \\ Uniform approximation of continuous functions with values in $[0,1]$ / Jo{\~a}o B. Prolla / 241--247 \\ Nonproduct interpolation and approximation / M. Reimer / 249--260 \\ Multivariate splines and dimensions of kernels of linear operators / S. D. Riemenschneider, R.-Q. Jia, and Z. Shen / 261--274 \\ Elliptic regularity with continuous and branching edge asymptotics / B.-W. Schulze / 275--284 \\ Fast algorithms for one- and two-dimensional discrete cosine transforms / G. Steidl and M. Tasche / 285--298 \\ Recent results on multivariate smoothing splines / Florencio I. Utreras / 299--312 \\ The obstacle problem and best superharmonic approximation / D. Zwick / 313--324", } @Proceedings{Mason:1990:AAI, editor = "J. C. Mason and M. G. Cox", booktitle = "{Algorithms for approximation II: based on the proceedings of the Second International Conference on Algorithms for Approximation, held at Royal Military College of Science, Shrivenham, July 1988}", title = "{Algorithms for approximation II: based on the proceedings of the Second International Conference on Algorithms for Approximation, held at Royal Military College of Science, Shrivenham, July 1988}", publisher = pub-CHAPMAN-HALL, address = pub-CHAPMAN-HALL:adr, pages = "514", year = "1990", ISBN = "0-412-34580-3", ISBN-13 = "978-0-412-34580-7", LCCN = "QA221 .I54 1988", bibdate = "Thu Sep 01 23:55:44 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/grosse-eric.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, meetingname = "International Conference on Algorithms for Approximation (2nd: 1988: Royal Military College of Science, Shrivenham, England)", subject = "Approximation theory; Data processing; Congresses", tableofcontents = "Part One: Development of Algorithms / 1 \\ 1. Spline Approximation / 3 \\ E. Arge, M. Dcehlen, T. Lyche and K. Morken / Constrained spline approximation of functions and data based on constrained knot removal / 4 \\ G. T. Anthony and M. G. Cox / Near real-time spline fitting of long sequences of uniformly-spaced data / 21 \\ M. Bozzini and F. de Tisi / An algorithm for knot location in bivariate least squares spline approximation / 30 \\ M. G. Cox, P. M. Harris and H. M. Jones / A knot placement strategy for least squares spline fitting based on the use of local polynomial approximations / 37 \\ G. Opfer / An algorithm for nonlinear splines with non-negativity constraints / 46 \\ C. Potier and C. Vercken / Spline curve fitting of digitized contours / 54 \\ C. Rabut / A B-spline approximation algorithm for quasi-interpolation or filtering / 62 \\ P. W. Smith / On knots and nodes for spline interpolation / 72 \\ 2. Polynomial and Piecewise Polynomial Approximation / 79 \\ W. Dahmen / A basis for certain spaces of multivariate polynomials and exponentials / 80 \\ F. N. Fritschi / Monotone piecewise cubic data fitting / 99 \\ M. Heilmann and M. W. M{\"u}ller / Direct and converse results on simultaneous approximation by the method of Bernstein--Durrmeyer operators / 107 \\ A. Iserles, P. E. Koch, S. P. N{\o}rsett and J. M. Sanz-Serna / Orthogonality and approximation in a Sobolev space / 117 \\ M. A. Lachance / Piecewise polynomial approximation of polynomial curves / 125 \\ E. Quak and L. L. Schumaker / Calculation of the energy of a piecewise polynomial surface / 134 \\ 3. Interpolation / 145 \\ M. D. Buhmann and M. J. D. Powell / Radial basis function interpolation on an infinite regular grid / 146 \\ L. Brutman / The Fourier operator of even order and its application to an extremum problem in interpolation / 170 \\ N. Dyn and A. Ron / On multivariate polynomial interpolation / 177 \\ N. Dyn, D. Levin and S. Rippen / Algorithms for the construction of data dependent triangulations / 185 \\ C. Rademacher and K. Scherer / Algorithms for computing best parametric cubic interpolation / 193 \\ 4. Smoothing and Constraint Methods / 209 \\ M. Von Golitschek and L. L. Schumaker / Data fitting by penalized least squares / 210 \\ K. W. Bosworth / A semiinfinite programming algorithm for constrained best approximation / 228 \\ M. Bozzini and L. Lenarduzzi / Inference region for a method of local approximation by using the residuals / 236 \\ 5. Complex Approximation / 245 \\ G. A. Watson / Numerical methods for Chebyshev approximation of complex-valued functions / 246 \\ P. T. P. Tang / A fast algorithm for linear complex Chebyshev approximation / 265 \\ Part Two: Applications / 275 \\ 6. Computer Aided Design and Geometric Modelling / 277 \\ N. Dyn, J. A. Gregory and D. Levin / Uniform subdivision algorithms for curves and surfaces / 278 \\ T. B. Boffey, M. G. Cox, L. M. Delves and C. J. Pursglove / Approximation by spheres / 296 \\ T. A. Foley / Interpolation of scattered data on a spherical domain / 303 \\ A. B. Forbes / Least squares best fit geometric elements / 311 \\ W. Freeden and J. C. Mason / Uniform piecewise approximation on the sphere / 320 \\ 7. Applications in Numerical Analysis / 335 \\ L. N. Trefethen / Approximation theory and numerical linear algebra / 336 \\ M. Frontini, G. Rodriguez and S. Seatzu / An algorithm for computing minimum norm solutions of the finite moment problem / 361 \\ R. H. J. Gmelig Meyling / Numerical solution of the biharmonic equation using different types of bivariate spline functions / 369 \\ G. O. Olaofe / Quadrature solution of integral equations: a uniform treatment of Fredholm and Volterra equations / 377 \\ G. Walz / Increasing the convergence modulus of an asymptotic expansion: an algorithm for numerical differentiation / 387 \\ J. Williams / Approximation and parameter estimation in ordinary differential equations / 395 \\ 8. Applications in Other Disciplines / 405 \\ C. Zala and I. Barrodale / Applications of discrete $L_1$ methods in science and engineering / 406 \\ J. C. Mason, A. E. Trefethen and S. J. Wilde / Constrained complex approximation algorithms in communication engineering / 424 \\ R. W. Allen and J. G. Metcalfe / Integration of absolute amplitude from a decibel B-spline fit / 449 \\ M. G. Cox and H. M. Jones / A nonlinear least squares data fitting problem arising in microwave measurement / 458 \\ J. C. Mason and S. J. Wilde / A complex minimax algorithm for phase-only adaptation in antenna arrays / 466 \\ Part Three: Catalogue of Algorithms / 477 \\ E. Grosse / A catalogue of algorithms for approximation / 479", } @Proceedings{Griffiths:1992:NAP, editor = "David Francis Griffiths and George Alistair Watson", booktitle = "Numerical Analysis, 1991: Proceedings of the {14th Dundee Conference, June 1991}", title = "Numerical Analysis, 1991: Proceedings of the {14th Dundee Conference, June 1991}", volume = "260", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "292", year = "1992", ISBN = "0-582-08908-5", ISBN-13 = "978-0-582-08908-2", LCCN = "QA297 .D85 1991; QA297 .N825 1991", bibdate = "Mon Jan 15 11:05:56 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Pitman Research Notes in Mathematics", acknowledgement = ack-nhfb, } @Proceedings{Lam:1992:OTA, editor = "Loh Nee Lam and T. Y. Leong and F. S. Chou", booktitle = "{Optimization Techniques and Applications: International Conference (In 2 Volumes), Singapore, June 3--5, 1992}", title = "{Optimization Techniques and Applications: International Conference (In 2 Volumes), Singapore, June 3--5, 1992}", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, bookpages = "xiv + 1--609 (vol. 1), xi + 613--1232 (vol. 2)", pages = "xiv + 1--609 (vol. 1), xi + 613--1232 (vol. 2)", year = "1992", ISBN = "981-02-1062-0 (hardcover: set), 981-02-1986-5 (vol. 1), 981-02-1987-3 (vol. 2), 981-4537-28-4 (e-book)", ISBN-13 = "978-981-02-1062-5 (hardcover: set), 978-981-02-1986-4 (vol. 1), 978-981-02-1987-1 (vol. 2), 978-981-4537-28-5 (e-book)", LCCN = "QA402.5 .O685 1992", bibdate = "Tue Nov 21 09:22:51 MST 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", abstract = "With the advent of powerful computers and novel mathematical programming techniques, the multidisciplinary field of optimization has advanced to the stage that quite complicated systems can be addressed. The conference was organized to provide a platform for the exchanging of new ideas and information and for identifying areas for future research. The contributions covered both theoretical techniques and a rich variety of case studies to which optimization can be usefully applied.", acknowledgement = ack-nhfb, } @Proceedings{Light:1992:ANA, editor = "W. A. (William Allan) Light", booktitle = "Advances in numerical analysis, {Vol. II} [{Proceedings of the fourth Summer School in Numerical Analysis, Lancaster University, 15th July to 3rd August 1990}]", title = "Advances in numerical analysis, {Vol. II} [{Proceedings of the fourth Summer School in Numerical Analysis, Lancaster University, 15th July to 3rd August 1990}]", publisher = pub-OXFORD, address = pub-OXFORD:adr, bookpages = "viii + 210", pages = "viii + 210", year = "1992", ISBN = "0-19-853439-6", ISBN-13 = "978-0-19-853439-6", LCCN = "QA297 .A38 1991", MRclass = "41A30 (41A63 65D15)", MRnumber = "1172121", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Oxford Sci. Publ.", abstract = "This volume presents research workers and graduate students with a state-of-the-art survey of some of the most active areas of numerical analysis. It covers wavelets from the point of view of spline theory, subdivision algorithms in geometric design and the theory of radial basis function approximation.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", remark = "Some of the lectures in this volume are by Michael J. D. Powell \cite[pp. 13--14]{Davis:2005:MJD}.", tableofcontents = "1 Wavelets and Spline Interpolation / 1 \\ 1.1 Introduction / 1 \\ 1.2 Integral Wavelet Transforms / 3 \\ 1.3 Multiresolution Analysis and Wavelets / 6 \\ 1.4 Algorithms and Linear Phase Filtering / 11 \\ 1.5 Orthogonal Wavelets / 15 \\ 1.6 Spline Wavelets and Biorthogonal Bases / 23 \\ 1.7 Spline Interpolation / 30 \\ 1.8 Multivariate Wavelets and Spline Interpolation / 32 \\ 2 Subdivision Schemes in Computer-Aided Geometric Design / 36 \\ 2.1 Introduction / 36 \\ 2.2 The Subdivision Mask and the Functional Equation / 42 \\ 2.3 Analysis of Convergence and Smoothness --- the case $s = 1$ / 52 \\ 2.4 The Matrix Formalism --- the case $s = 1$ / 65 \\ 2.5 Interpolatory Subdivision Schemes --- the case $s = 1$ / 73 \\ 2.6 Analysis of Convergence --- $s > 1$ / 76 \\ 2.7 Analysis of Smoothness --- $s > 1$ 89 \\ 2.8 The Butterfly Subdivision Scheme / 98 \\ 3 The Theory of Radial Basis Function Approximation in 1990 / 105 \\ 3.1 The Radial Basis Function Method / 105 \\ 3.2 Variational Calculations / 110 \\ 3.3 Nonsingular Interpolation Matrices 118 \\ 3.4 Quasi-interpolation on $\mathbb{Z}^$ / 129 \\ 3.5 Polynomial Reproduction Properties / 139 \\ 3.6 Interpolation on $\mathbb{Z}^$ / 151 \\ 3.7 Some Properties of Interpolation on $\mathbb{Z}^$ / 159 \\ 3.8 Orders of Convergence / 172 \\ 3.9 Further Properties and Questions / 184 \\ Appendix A: Some Comments on Related Work / 194 \\ Appendix B: Uniform Approximation by Radial Basis Functions / 203", } @Proceedings{Renegar:1996:MNA, editor = "James Renegar and Michael Shub and Steve Smale", booktitle = "The mathematics of numerical analysis: 1995 {AMS-SIAM} Summer Seminar in Applied Mathematics, July 17--August 11, 1995, Park City, Utah", title = "The mathematics of numerical analysis: 1995 {AMS-SIAM} Summer Seminar in Applied Mathematics, July 17--August 11, 1995, Park City, Utah", volume = "32", publisher = pub-AMS, address = pub-AMS:adr, bookpages = "xi + 927 + [1]", pages = "xi + 927 + [1]", year = "1996", ISBN = "0-8218-0530-4", ISBN-13 = "978-0-8218-0530-5", ISSN = "0075-8485", ISSN-L = "0075-8485", LCCN = "QA297 .A57 1995", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Lectures in Applied Mathematics --- American Mathematical Society", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses", sponsor = "American Mathematical Society. Society for Industrial and Applied Mathematics.", tableofcontents = "Panel discussion: Does numerical analysis need a model of computation? / Michael Shub \\ On numerical solving of nonlinear Polaron equations / Pavel G. Akishin, Igor V. Puzynin and Yuri S. Smirnov \\ Symmetry reductions for the numerical solution of boundary value problems / Eugene L. Allgower and Philip J. Aston \\ The combinatorics of real algebraic splines over a simplicial complex / Chandrajit L. Bajaj \\ QMR and TFQMR methods for sparse nonsymmetric problems on massively parallel systems / Achim Basermann \\ On multigrid techniques for thin plate spline interpolation in two dimensions / R. K. Beatson, G. Goodsell and M. J. D. Powell \\ Sparse matrix reordering schemes for browsing hypertext / Michael W. Berry, Bruce Hendrickson and Padma Raghavan \\ Algebraic settings for the problem $ P \neq NP $ / Lenore Blum, Felipe Cucker, Mike Shub and Steve Smale \\ A new algorithm for computing the spectral matrix for higher-order differential equations and the location of discrete eigenvalues / B. M. Brown, M. S. P. Eastham and D. K. R. McCormack \\ An asymptotically optimal non-adaptive algorithm for minimization of Brownian motion / James M. Calvin \\ On two iterative methods for approximating the roots of a polynomial / Jean-Paul Cardinal \\ Algebraic approach of residues and applications / J. P. Cardinal and B. Mourrain \\ Nash trees and Nash complexity / Felipe Cucker and Thomas Lickteig \\ Operator equations, multiscale concepts and complexity / Wolfgang Dahmen, Angela Kunoth and Reinhold Schneider \\ Approximate solutions of numerical problems, condition number analysis and condition number theorem / Jean-Pierre Dedieu \\ Computing the distance from a point to an algebraic hypersurface / J. P. Dedieu, X. Gourdon and J. C. Yakoubsohn \\ Local analysis of a Newton-type method based on partial linearization / A. L. Dontchev \\ Approximations and complexity for computing algebraic curves / B. Curtis Eaves and Uriel G. Rothblum \\ Numerical univariate polynomial GCD / Ioannis Z. Emiris, Andre Galligo and Henri Lombardi \\ A parallel preconditioned GMRES algorithm for sparse matrices / J. Erhel \\ An optimal algorithm for the local solution of integral equations / Karin Frank \\ Descriptive complexity theory over the real numbers / Erich Gradel and Klaus Meer \\ Complexity theory of Monte Carlo algorithms / S. Heinrich \\ Qualitative numerical analysis of ordinary differential equations / Arieh Iserles and Antonella Zanna \\ Tapia indicators and finite termination of infeasible-interior-point methods for degenerate LCP / Jun Ji and Florian A. Potra \\ Quasi-Monte Carlo methods in computer graphics: The global illumination problem / Alexander Keller \\ Numerical algorithms with automatic result verification / Ulrich Kulisch \\ Random product homotopy with minimal BKK bound / T. Y. Li, Tianjun Wang and Xiaoshen Wang \\ Computational complexity over 2-adic numbers / Michael Maller and Jennifer Whitehead \\ Optimal reconstruction of stochastic evolutions / Peter Mathe \\ Lagrangian globalization: Solving nonlinear equations via constrained optimization / J. L. Nazareth \\ Polynomial time methods in convex programming / Arkadi Nemirovski \\ Effective parallel computations with Toeplitz and Toeplitz-like matrices filled with integers / Victor Y. Pan \\ An efficient discretization for solving ill-posed problems / S. V. Pereverzev and S. G. Solodky \\ Survey of computational complexity with noisy information / Leszek Plaskota \\ Lazy analysis and elementary numbers / Daniel Richardson \\ On the average case complexity of solving Poisson equations / Klaus Ritter and Grzegorz W. Wasilkowski \\ On the average number of real roots of certain random sparse polynomial systems / J. Maurice Rojas \\ Computations in real algebraic geometry / Marie-Francoise Roy \\ Path following for large nonlinear equations by implicit block elimination based on recursive projections / Hubert Schwetlick, Gisela Timmermann and Ralf Losche \\ Computability with neural networks / Hava T. Siegelmann \\ Numerical algebraic geometry / Andrew J. Sommese and Charles W. Wampler \\ Wavelets from filter banks / Gilbert Strang \\ A pragmatic overview of fast multipole methods / James H. Strickland and Roy S. Baty \\ Topological complexity of root-finding algorithms / Victor A. Vassiliev \\ On the relationship between layered least squares and affine scaling steps / Stephen A. Vavasis and Yinyu Ye \\ Enclosure methods for capricious solutions of ordinary differential equations / Wolfgang Walter \\ QR-like algorithms \\ An overview of convergence theory and practice / David S. Watkins \\ The complexity of the Poisson problem for spaces of bounded mixed derivatives / Arthur G. Werschulz \\ Overview of information-based complexity / Henryk Wozniakowski", } @Proceedings{Buhmann:1997:ATO, editor = "Martin D. Buhmann and Arieh Iserles", booktitle = "Approximation Theory and Optimization: tributes to {M. J. D. Powell} [{Conference on Numerical Mathematics in Cambridge, on 27--30 July 1996}]", title = "Approximation Theory and Optimization: tributes to {M. J. D. Powell} [{Conference on Numerical Mathematics in Cambridge, on 27--30 July 1996}]", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xiii + 220", year = "1997", ISBN = "0-521-58190-7 (hardcover)", ISBN-13 = "978-0-521-58190-5 (hardcover)", LCCN = "QA221 .A655 1997", MRclass = "90-04 (90C30)", MRnumber = "1601707", bibdate = "Tue Nov 28 17:36:07 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib; https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", acknowledgement = ack-nhfb, remark = "This volume comprises ten invited papers, presented at the Conference on Numerical Mathematics in Cambridge, on 27--30 July 1996, the occasion being the sixtieth birthday of Professor M. J. D. Powell FRS.", tableofcontents = "Preface / vii \\ Submitted Talks / ix \\ M. D. Buhmann and R. Fletcher / M. J. D. Powell's contributions to numerical mathematics / 1 \\ M. D. Buhmann and R. Fletcher / A brief review of M. J. D. Powell's work in univariate and multivariate approximation theory / 1 \\ M. D. Buhmann and R. Fletcher / The contributions of Mike Powell to optimization / 13 \\ M. D. Buhmann and R. Fletcher / M. J. D. Powell's publications / 19 \\ I. Barrodale and Zala / MJDP-BCS industrial liaison: Applications to defence science / 31 \\ C. de Boor / On the Meir\slash Sharma\slash Hall\slash Meyer analysis of the spline interpolation error / 47 \\ M. D. Buhmann, C. A. Micchelli and A. Ron / Asymptotically optimal approximation and numerical solutions of differential equations / 59 \\ A. R. Conn, K. Scheinberg and Ph. L. Toint / On the convergence of derivative-free methods for unconstrained optimization / 83 \\ I. C. Demetriou and M. J. D. Powell / Least squares fitting to univariate data subject to restrictions on the signs of the second differences / 109 \\ N. Dyn, F. J. Narcowich and J. D. Ward / A framework for interpolation and approximation on Riemannian manifolds / 133 \\ R. Fletcher / Dense factors of sparse matrices / 145 \\ W. Gropp and J. J. Mor{\'e} / Optimization environments and the NEOS Server / 167 \\ B. N. Parlett / New versions of $ q d $ for products of bidiagonals / 183 \\ M. J. Todd / On adjusting parameters in homotopy methods for linear programming / 201", } @Proceedings{Duff:1997:SAN, editor = "Iain S. Duff and G. Alistair Watson", booktitle = "The State of the Art in Numerical Analysis", title = "The State of the Art in Numerical Analysis", volume = "63", publisher = pub-OXFORD, address = pub-OXFORD:adr, bookpages = "xiv + 562", pages = "xiv + 562", year = "1997", ISBN = "0-19-850014-9", ISBN-13 = "978-0-19-850014-8", LCCN = "QA297.S775 1997", MRclass = "65-06 (00B25)", MRnumber = "MR1628339 (99a:65008)", bibdate = "Thu Sep 16 11:59:48 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Based on the proceedings of a conference on the state of the art in numerical analysis. Organized by the Institute of Mathematics and Its Applications and held at York University in April 1996.", series = "The Institute of Mathematics and Its Applications conference series: new series", URL = "https://global.oup.com/academic/product/the-state-of-the-art-in-numerical-analysis-9780198500148", acknowledgement = ack-nhfb, tableofcontents = "1. Recent Developments in Dense Numerical Linear Algebra / N. J. Higham \\ 2. Sparse Numerical Linear Algebra: Direct Methods and Preconditioning / I. S. Duff \\ 3. Closer to the Solution: Iterative Linear Solvers / G. H. Golub and H. A. van der Vorst \\ 4. 150 Years Old and Still Alive: Eigenproblems / H. A. van der Vorst and G. H. Golub \\ 5. Geometric Integration / J. M. Sanz-Serna \\ 6. Convergence and Stability in the Numerical Approximation of Dynamical Systems / A. Stuart \\ 7. Beyond the Classical Theory of Computational Ordinary Differential Equations / A. Iserles \\ 8. Numerical Analysis of Volterra Functional and Integral Equations / C. T. H. Baker \\ 9. The Numerical Solution of Boundary Integral Equations / K. E. Atkinson \\ 10. Aspects of Approximation with Emphasis on the Univariate Case / G. A. Watson \\ 11. A Review of Methods for Multivariable Interpolation at Scattered Data Points / M. J. D. Powell \\ 12. Large Scale Unconstrained Optimization / J. Nocedal \\ 13. Interior Point Methods for Linear and Nonlinear Programming / D. F. Shanno and E. M. Simantiraki \\ 14. Methods for Nonlinear Constraints in Optimization Calculations / A. R. Conn, N. I. M. Gould and Ph. L. Toint \\ 15. Stabilization Techniques and Subgrid Scales Capturing, F. Brezzi, L. P. Franca / T. J. R. Hughes and A. Russo \\ 16. Approximation of Curvature Dependent Interface Motion / C. M. Elliott \\ 17. Finite Element Methods for Hyperbolic Problems: a Posteriori Error Analysis and Adaptivity / E. S{\"u}li and P. Houston \\ 18. Approximation of Multidimensional Hyperbolic Partial Differential Equations / K. W. Morton \\ 19. Algorithms in Tomography / F. Natterer \\ 20. Partial Differential Equations and Image Iterative Filtering / F. Guichard and J.-M. Morel", } @Proceedings{Powell:2000:SMO, editor = "M. J. D. Powell and S. Scholtes", booktitle = "System Modelling and Optimization: Methods, Theory and Applications: 19. {IFIP-TC7 Conference on System Modelling and Optimization, July 12--16, 1999, Cambridge, UK}", title = "System Modelling and Optimization: Methods, Theory and Applications: 19. {IFIP-TC7 Conference on System Modelling and Optimization, July 12--16, 1999, Cambridge, UK}", publisher = pub-KLUWER, address = pub-KLUWER:adr, bookpages = "viii + 347", pages = "viii + 347", year = "2000", ISBN = "0-7923-7881-4", ISBN-13 = "978-0-7923-7881-5", LCCN = "QA402.3 .I4536 1999", bibdate = "Tue Dec 09 08:36:11 2003", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", editor-dates = "Michael James David Powell (29 July 1936--19 April 2015)", tableofcontents = "Topology Design of Structures, Materials and Mechanisms \\ Status and Perspectives / Martin P. Bendsoe \\ MIP: Theory and Practice \\ Closing the Gap / Robert E. Bixby, Mary Fenelon and Zonghao Gu / [and others] \\ On the Role of Natural Level Functions to Achieve Global Convergence for Damped Newton Methods / H. Georg Bock, Ekaterina Kostina and Johannes P. Schloder \\ Computational Experience with a Parallel Implementation of an Interior-Point Algorithm for Multicommodity Network Flows / Jordi Castro \\ Modelling the Behavior of Systems: Basic Concepts and Algorithms / Tommaso Cotroneo and Jan C. Willems \\ Lipschitzian Stability of Newton's Method for Variational Inclusions / Asen L. Dontchev \\ SQP Methods for Large-Scale Nonlinear Programming / N. I. M. Gould, P. L. Toint \\ Algorithmic Implications of Duality in Stochastic Programs/ J. L. Higle, S. Sen \\ A Model which Integrates Strategic and Tactical Aspects of Forest Harvesting/ A. McNaughton, et al. \\ Optimization of Chemical Processes Under Uncertainty/ G. M. Ostrovsky, et al. \\ Numerical Solution to the Acoustic Homicidal Chauffeur Game / V. S. Patsko, V. L. Turova \\ Application of a Micro-Genetic Algorithm in Optimal Design of a Diffractive Optical Element / S. Rudnaya, F. Santosa \\ Semidefinite and Lagrangian Relaxations for Hard Combinatorial Problems / H. Wolkowicz \\ Recent Developments in Interior-Point Methods; S. J. Wright \\ Other Papers that were Presented at the Conference", } @Proceedings{Watson:2000:NAD, editor = "George Alistair Watson and David Francis Griffiths", booktitle = "{Numerical analysis 1999: [the 18th Dundee Biennial Conference on Numerical Analysis was held at the University of Dundee during the 4 days 29th June--2nd Julay 1999]}", title = "{Numerical analysis 1999: [the 18th Dundee Biennial Conference on Numerical Analysis was held at the University of Dundee during the 4 days 29th June--2nd July, 1999]}", volume = "420", publisher = pub-CHAPMAN-HALL-CRC, address = pub-CHAPMAN-HALL-CRC:adr, pages = "279", year = "2000", DOI = "https://doi.org/10.1201/9781482280937", ISBN = "1-58488-020-1 (paperback)", ISBN-13 = "978-1-58488-020-2 (paperback)", LCCN = "QA297 .D85 1999; QA297 .N825 2000; QA297 .N853 1999", MRclass = "65D20 (41A30 65F10 93E24)", MRnumber = "1751115", MRreviewer = "Donald Myers", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Chapman \& Hall/CRC Research Notes in Mathematics", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", tableofcontents = "Preface \\ M. Ainsworth, P. Coggins and B. Senior / Mixed hp-finite element methods for incompressible flow / 1 \\ R. Becker, H. Kapp and R. Rannacher / Adaptive finite element methods for optimization problems / 21 \\ P. Blomgren, T. F. Chan, P. Mulet, L. Vese and W. L. Wan / Variational PDE models and methods for image processing / 43 \\ F. Brezzi / Interacting with the subgrid world / 69 \\ F. Chaitin-Chatelin / The computing power of Geometry / 83 \\ C. M. Elliott and V. M. Styles / Numerical approximation of vortex density evolution in a superconductor / 93 \\ A. C. Faul and M. J. D. Powell / Krylov subspace methods for radial basis function interpolation / 115 \\ M. C. Ferris, T. S. Munson and D. Ralph / A homotopy method for mixed complementarity problems based on the PATH solver / 143 \\ E. Hairer and Ch. Lubich / Energy conservation by Stormer-type numerical integrators / 169 \\ A. Klawonn and O. B. Widlund / New results on FETI methods for elliptic problems with discontinuous coefficients / 191 \\ I. H. Sloan and R. S. Womersley / The search for good polynomial interpolation points on the sphere / 211 \\ P. M. Van Dooren / Gramian based model reduction of large-scale dynamical systems / 231 \\ G. A. Watson / Solving data fitting problems in $l_p$ norms with bounded uncertainties in the data / 249 \\ Contributed Papers / 267", } @Proceedings{DiPillo:2006:NSU, editor = "Gianni {Di Pillo} and Massimo Roma", booktitle = "Large-scale nonlinear optimization: [Workshop on {Large Scale Nonlinear Optimization held in Erice, Italy, June 22--July 1, 2004}]", title = "Large-scale nonlinear optimization: [Workshop on {Large Scale Nonlinear Optimization held in Erice, Italy, June 22--July 1, 2004}]", volume = "83", publisher = pub-SV, address = pub-SV:adr, bookpages = "ix + 297", pages = "ix + 297", year = "2006", DOI = "https://doi.org/10.1007/0-387-30065-1", ISBN = "0-387-30063-5, 0-387-30065-1 (e-book)", ISBN-13 = "978-0-387-30063-4, 978-0-387-30065-8 (e-book)", LCCN = "QA402.5 .W665 2004", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", series = "Nonconvex Optimization and Its Applications", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", tableofcontents = "Front Matter / i--ix \\ Fast Linear Algebra for Multiarc Trajectory Optimization / Nicolas B{\'e}rend, J. Fr{\'e}d{\'e}ric Bonnans, Julien Laurent-Varin, Mounir Haddou, Christophe Talbot / 1--14 \\ Lagrange Multipliers with Optimal Sensitivity Properties in Constrained Optimization / Dimitri P. Bertsekas / 15--23 \\ An $O(n^2)$ Algorithm for Isotonic Regression / Oleg Burdakov, Oleg Sysoev, Anders Grimvall, Mohamed Hussian / 25--33 \\ Knitro: An Integrated Package for Nonlinear Optimization / Richard H. Byrd, Jorge Nocedal, Richard A. Waltz / 35--59 \\ On implicit-factorization constraint preconditioners / H. Sue Dollar, Nicholas I. M. Gould, Andrew J. Wathen / 61--82 \\ Optimal algorithms for large sparse quadratic programming problems with uniformly bounded spectrum / Zden{\v{e}}k Dost{\'a}l / 83--93 \\ Numerical methods for separating two polyhedra / Yury G. Evtushenko, Alexander I. Golikov, Saed Ketabchi / 95--113 \\ Exact penalty functions for generalized Nash problems / Francisco Facchinei, Jong-Shi Pang / 115--126 \\ Parametric Sensitivity Analysis for Optimal Boundary Control of a 3D Reaction-Diffusion System / Roland Griesse, Stefan Volkwein / 127--149 \\ Projected Hessians for Preconditioning in One-Step One-Shot Design Optimization / Andreas Griewank / 151--171 \\ Conditions and parametric representations of approximate minimal elements of a set through scalarization / C{\'e}sar Guti{\'e}rrez, Bienvenido Jim{\'e}nez, Vicente Novo / 173--184 \\ Efficient methods for large-scale unconstrained optimization / Ladislav Luk{\v{s}}an, Jan Vl{\c{c}}ek / 185--210 \\ A variational approach for minimum cost flow problems / Giandomenico Mastroeni / 211--221 \\ Multi-Objective Optimisation of Expensive Objective Functions with Variable Fidelity Models / Daniele Peri, Antonio Pinto, Emilio F. Campana / 223--241 \\ Towards the Numerical Solution of a Large Scale PDAE Constrained Optimization Problem Arising in Molten Carbonate Fuel Cell Modeling / Hans Josef Pesch, Kati Sternberg, Kurt Chudej / 243--253 \\ The NEWUOA software for unconstrained optimization without derivatives / M. J. D. Powell / 255--297", } @Proceedings{Bultheel:2010:BNA, editor = "Adhemar Bultheel and Ronald Cools", booktitle = "The Birth of Numerical Analysis", title = "The Birth of Numerical Analysis", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, bookpages = "xvii + 221", pages = "xvii + 221", year = "2010", DOI = "https://doi.org/10.1142/7075", ISBN = "981-283-625-X (hardcover), 981-283-626-8 (e-book)", ISBN-13 = "978-981-283-625-0 (hardcover), 978-981-283-626-7 (e-book)", LCCN = "QA297 .B54 2010", bibdate = "Sat Nov 18 08:33:59 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib", note = "Proceedings of a symposium held at the Department of Computer Science of the {K.U}. Leuven, October 29--30, 2007.", abstract = "The 1947 paper by John von Neumann and Herman Goldstine, ''Numerical Inverting of Matrices of High Order`` (Bulletin of the AMS, Nov. 1947), is considered as the birth certificate of numerical analysis. Since its publication, the evolution of this domain has been enormous. This book is a unique collection of contributions by researchers who have lived through this evolution, testifying about their personal experiences and sketching the evolution of their respective subdomains since the early years.", acknowledgement = ack-nhfb, author-dates = "Michael James David Powell (29 July 1936--19 April 2015)", tableofcontents = "Preface / v \\ Some pioneers of extrapolation methods / Claude Brezinski / 1--22 \\ Very basic multidimensional extrapolation quadrature / James N. Lyness / 23--34 \\ Numerical methods for ordinary differential equations: early days / John C. Butcher / 35--44 \\ Interview with Herbert Bishop Keller / Hinke M. Osinga / 45--52 \\ A personal perspective on the history of the numerical analysis of Fredholm integral equations of the second kind / Kendall Atkinson / 53--72 \\ Memoires on building a general purpose numerical algorithms library / Brian Ford / 73--92 \\ Recent trends in high performance computing / Jack J. Dongarra, Hans W. Meuer, Horst D. Simon, and Erich Strohmaier / 93--108 \\ Nonnegativity constraints in numerical analysis / Donghui Chen and Robert J. Plemmons / 109--140 \\ On nonlinear optimization since 1959 / M. J. D. Powell / 141--160 \\ The history and development of numerical analysis in Scotland: a personal perspective / G. Alistair Watson / 161--178 \\ Remembering Philip Rabinowitz / Philip J. Davis and Aviezri S. Fraenkel / 179--186 \\ My early experiences with scientific computation / Philip J. Davis / 187--192 \\ Applications of Chebyshev polynomials: from theoretical kinematics to practical computations / Robert Piessens / 193--206 \\ Name Index / 207--214 \\ Subject Index / 215--??", } .