%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "1.02",
%%%     date            = "07 November 2025",
%%%     time            = "14:47:46 MDT",
%%%     filename        = "reinsch-christian-h.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        = "59319 2026 8609 92684",
%%%     email           = "beebe at math.utah.edu, beebe at acm.org,
%%%                        beebe at computer.org (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "bibliography; BibTeX; Christian H. Reinsch;
%%%                        numerical analysis",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography of works by, and
%%%                        about the late numerical analyst, Christian
%%%                        H. Reinsch (?? ?? 1934--8 October 2022).  No
%%%                        curriculum vitae has yet been located, but
%%%                        several bibliographic sources have been
%%%                        searched during the preparation of this
%%%                        bibliography.
%%%
%%%                        At version 1.02, the year coverage looked
%%%                        like this:
%%%
%%%                             1961 (   1)    1983 (   1)    2005 (   0)
%%%                             1963 (   0)    1985 (   0)    2007 (   2)
%%%                             1965 (   0)    1987 (   1)    2009 (   1)
%%%                             1967 (   1)    1989 (   2)    2011 (   0)
%%%                             1968 (   3)    1990 (   3)    2012 (   0)
%%%                             1969 (   1)    1991 (   2)    2013 (   1)
%%%                             1970 (   2)    1992 (   1)    2014 (   1)
%%%                             1971 (   8)    1993 (   0)    2015 (   0)
%%%                             1972 (   1)    1994 (   0)    2016 (   2)
%%%                             1973 (   2)    1995 (   1)    2017 (   0)
%%%                             1974 (   2)    1996 (   0)    2018 (   2)
%%%                             1975 (   1)    1997 (   0)    2019 (   3)
%%%                             1976 (   1)    1998 (   0)    2020 (   0)
%%%                             1977 (   2)    1999 (   0)    2021 (   0)
%%%                             1978 (   0)    2000 (   0)    2022 (   5)
%%%                             1979 (   2)    2001 (   0)    2023 (   1)
%%%                             1980 (   3)    2002 (   0)    2024 (   2)
%%%                             1981 (   0)    2003 (   1)
%%%                             1982 (   1)    2004 (   0)
%%%
%%%                             Article:         33
%%%                             Book:             3
%%%                             InCollection:     5
%%%                             InProceedings:    2
%%%                             Misc:            14
%%%                             PhdThesis:        1
%%%                             Proceedings:      1
%%%                             TechReport:       4
%%%
%%%                             Total entries:   63
%%%
%%%                        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" #
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                                           \else \leavevmode \raise 0.2ex \hbox{$\scriptscriptstyle \ll $}\fi}\fi" #
    "\ifx \undefined \frqq      \def \frqq {\ifmmode \gg
                                           \else \leavevmode \raise 0.2ex \hbox{$\scriptscriptstyle \gg $}\fi}\fi" #
    "\ifx \undefined \gldq      \def \gldq {,,}                                                               \fi" #
    "\ifx \undefined \grdq      \def \grdq {``}                                                               \fi" #
    "\ifx \undefined \glsq      \def \glsq {,}                                                                \fi" #
    "\ifx \undefined \grsq      \def \grsq {`}                                                                \fi"
}

%%% ====================================================================
%%% Institution abbreviations:

@String{inst-CS-PURDUE          = "Department of Computer Science, Purdue
                                  University"}
@String{inst-CS-PURDUE:adr      = "West Lafayette, IN 47907-2107, USA"}

@String{inst-ETH                = "ETH Z{\"u}rich"}
@String{inst-ETH:adr            = "Z{\"u}rich, Switzerland"}

@String{inst-STAN-CS            = "Stanford University, Department of Computer
                                  Science"}
@String{inst-STAN-CS:adr        = "Stanford, CA, USA"}

%%% ====================================================================
%%% Journal abbreviations:

@String{j-ACTA-INFO             = "Acta Informatica"}

@String{j-ANN-HIST-COMPUT       = "Annals of the History of Computing"}

@String{j-APL-MAT               = "Aplikace Matematiky"}

@String{j-BIOMETRIKA            = "Biometrika"}

@String{j-BIOMETRISCHE-Z        = "Biometrische Zeitschrift"}

@String{j-C-R-ACAD-SCI-PARIS    = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris"}

@String{j-C-R-HEBD-SEANCES-ACAD-SCI = "Comptes Rendus Hebdomadaires des
                                  S{\'e}ances de l'Acad{\'e}mie des Sciences"}

@String{j-CACM                  = "Communications of the ACM"}

@String{j-COMP-J                = "The Computer Journal"}

@String{j-COMP-PHYS-COMM        = "Computer Physics Communications"}

@String{j-COMPUTING             = "Computing"}

@String{j-CRYPTOLOGIA           = "Cryptologia"}

@String{j-DEUTSCH-MATH-V        = "Jber. Deutsch. Math.--Verein"}

@String{j-DISTRIB-COMPUT        = "Distributed Computing"}

@String{j-ELEK-RECHENANLAGEN    = "Elektronische Rechenanlagen"}

@String{j-IEEE-TRANS-CIRCUITS-SYST-1 = "IEEE Transactions on Circuits and
                                  Systems I: Regular Papers"}

@String{j-IEEE-TRANS-SOFTW-ENG  = "IEEE Transactions on Software Engineering"}

@String{j-IMA-J-NUMER-ANAL      = "IMA Journal of Numerical Analysis"}

@String{j-INFORMATIK-SPEKTRUM   = "Informatik Spektrum"}

@String{j-INT-J-NUMBER-THEORY   = "International Journal of Number Theory
                                  (IJNT)"}

@String{j-J-ACM                 = "Journal of the ACM"}

@String{j-J-COMPUT-APPL-MATH    = "Journal of Computational and Applied
                                  Mathematics"}

@String{j-J-MATH-PHYS           = "Journal of Mathematical Physics"}

@String{j-J-SIAM                = "Journal of the Society for Industrial and
                                  Applied Mathematics"}

@String{j-J-SYMBOLIC-LOGIC      = "Journal of Symbolic Logic"}

@String{j-LECT-NOTES-COMP-SCI   = "Lecture Notes in Computer Science"}

@String{j-LEONARDO              = "Leonardo (Oxford, England)"}

@String{j-LINEAR-ALGEBRA-APPL   = "Linear Algebra and its Applications"}

@String{j-MATH-ANN              = "Mathematische Annalen"}

@String{j-MATH-COMPUT           = "Mathematics of Computation"}

@String{j-MATH-INTEL            = "The Mathematical Intelligencer"}

@String{j-MATH-Z                = "Mathematische Zeitschrift"}

@String{j-NA-DIGEST             = "NA Digest"}

@String{j-NUM-MATH              = "Numerische Mathematik"}

@String{j-NUMER-ALGORITHMS      = "Numerical Algorithms"}

@String{j-PARALLEL-COMPUTING    = "Parallel Computing"}

@String{j-PHYS-J                = "Physik Journal"}

@String{j-PI-MU-EPSILON-J       = "Pi Mu Epsilon Journal"}

@String{j-PROC-AM-MATH-SOC      = "Proceedings of the American Mathematical
                                  Society"}

@String{j-SCI-COMPUT-PROGRAM    = "Science of Computer Programming"}

@String{j-SIAM-J-MAT-ANA-APPL   = "SIAM Journal on Matrix Analysis and
                                  Applications"}

@String{j-SIAM-J-NUMER-ANAL     = "SIAM Journal on Numerical Analysis"}

@String{j-SIAM-REVIEW           = "SIAM Review"}

@String{j-SIAM-J-SCI-STAT-COMP  = "SIAM Journal on Scientific and Statistical
                                  Computing"}

@String{j-SIGACT                = "ACM SIGACT News"}

@String{j-SIGNUM                = "ACM SIGNUM Newsletter"}

@String{j-SIGPLAN               = "ACM SIG{\-}PLAN Notices"}

@String{j-STUDIUM-GEN           = "Studium Generale"}

@String{j-TOMS                  = "ACM Transactions on Mathematical Software"}

@String{j-Z-ANGE-MATH-MECH      = "{Zeitschrift f{\"u}r Angewandte Mathematik
                                  und Mechanik}"}

@String{j-Z-ANGE-MATH-PHYS      = "{Zeitschrift f{\"u}r Angewandte Mathematik
                                  und Physik = Journal of Applied Mathematics
                                  and Physics}"}

@String{j-Z-VYCISL-MAT-MAT-FIZ  = "Zhurnal vychislitel'noi matematiki i
                                  matematicheskoi fiziki"}

%%% ====================================================================
%%% Publisher abbreviations:

@String{pub-ACADEMIC            = "Academic Press"}
@String{pub-ACADEMIC:adr        = "New York, NY, USA"}

@String{pub-AKADEMIE-VERLAG     = "Akademie-Verlag"}
@String{pub-AKADEMIE-VERLAG:adr = "Berlin, Germany"}

@String{pub-AMERICAN-PHILOSOPHICAL-SOCIETY = "American Philosophical Society"}
@String{pub-AMERICAN-PHILOSOPHICAL-SOCIETY:adr = "Philadelphia, PA, USA"}

@String{pub-AMS                 = "American Mathematical Society"}
@String{pub-AMS:adr             = "Providence, RI, USA"}

@String{pub-BIRKHAUSER-BOSTON   = "Birkh{\"a}user Boston Inc."}
@String{pub-BIRKHAUSER-BOSTON:adr = "Cambridge, MA, USA"}

@String{pub-ELSEVIER            = "Elsevier"}
@String{pub-ELSEVIER:adr        = "Amsterdam, The Netherlands"}

@String{pub-MIT                 = "MIT Press"}
@String{pub-MIT:adr             = "Cambridge, MA, USA"}

@String{pub-NORTH-HOLLAND       = "North-Hol{\-}land"}
@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-PH                  = "Pren{\-}tice-Hall"}
@String{pub-PH:adr              = "Upper Saddle River, NJ 07458, USA"}

@String{pub-SPRINGER            = "Springer-Verlag"}
@String{pub-SPRINGER:adr        = "Berlin, Heidelberg, New York, Tokyo"}
@String{pub-SPRINGER:adr-B      = "Berlin"}

@String{pub-SV                  = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg,
                                  Germany~/ London, UK~/ etc."}

@String{pub-TEUBNER             = "B. G. Teubner"}
@String{pub-TEUBNER:adr         = "Stuttgart, Germany; Leipzig, Germany"}

@String{pub-VIEWEG              = "Friedrich Vieweg und Sohn"}
@String{pub-VIEWEG:adr          = "Braunschweig, Germany"}

%%% ====================================================================
%%% Series abbreviations:

@String{ser-LNCS                = "Lecture Notes in Computer Science"}

%%% ====================================================================
%%%        Part 1 (of 2) --- Publications by Chrisian H. Reinsch
%%%

@PhdThesis{Reinsch:1961:MDW,
  author =       "Christian H. Reinsch",
  title =        "{Messung des differentiellen Wirkungsquerschnittes und
                 des mittleren logarithmischen Energieverlustes bei der
                 Streuung langsamer Neutronen an Wasser und Eis}.
                 ({German}) [{Measurement} of the differential
                 cross-section of action and the average logarithmic
                 energy loss when scattering slow neutrons on water and
                 ice]",
  type =         "{Doctor rerum naturalium (Dr. rer. nat.)} thesis",
  school =       "Technische Universit{\"a}t M{\"u}nchen",
  address =      "Munich, Germany",
  year =         "1961",
  bibdate =      "Sat Aug 02 15:28:44 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://dl.acm.org/profile/81100396422",
  advisor =      "Heinz Maier-Leibnitz",
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  language =     "German",
}

@Article{Reinsch:1967:SSF,
  author =       "Christian H. Reinsch",
  title =        "Smoothing by spline functions",
  journal =      j-NUM-MATH,
  volume =       "10",
  number =       "3",
  pages =        "177--183",
  month =        oct,
  year =         "1967",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF02162161",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65D10 (41A15)",
  MRnumber =     "295532",
  MRreviewer =   "C. A. Hall",
  bibdate =      "Sat Aug 2 16:11:52 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  note =         "See Part II \cite{Reinsch:1971:SSF}.",
  URL =          "https://eudml.org/doc/131782;
                 https://tlakoba.w3.uvm.edu/AppliedUGMath/auxpaper_Reinsch_1967.pdf",
  ZMnumber =     "0161.36203",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  ZBmath =       "3258595",
}

@Article{Bowdler:1968:QQA,
  author =       "H. Bowdler and R. S. Martin and C. Reinsch and J. H.
                 Wilkinson",
  title =        "The {QR} and {QL} algorithms for symmetric matrices",
  journal =      j-NUM-MATH,
  volume =       "11",
  pages =        "293--306",
  year =         "1968",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF02166681",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Sat Aug 2 15:39:45 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://eudml.org/doc/131827",
  ZMnumber =     "0162.46803",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  ZBmath =       "3260291",
}

@Article{Martin:1968:HTS,
  author =       "R. S. Martin and C. Reinsch and J. H. Wilkinson",
  title =        "{Householder}'s tridiagonalization of a symmetric
                 matrix",
  journal =      j-NUM-MATH,
  volume =       "11",
  pages =        "181--195",
  year =         "1968",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF02161841",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Sat Aug 2 15:39:45 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://eudml.org/doc/131819",
  ZMnumber =     "0176.13402",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  ZBmath =       "3281221",
}

@Article{Reinsch:1968:RTN,
  author =       "C. Reinsch and F. L. Bauer",
  title =        "Rational {$ Q R $} transformation with {Newton} shift
                 for symmetric tridiagonal matrices",
  journal =      j-NUM-MATH,
  volume =       "11",
  pages =        "264--272",
  year =         "1968",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF02161847",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Sat Aug 2 15:39:45 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://eudml.org/doc/131824",
  ZMnumber =     "0164.45201",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  ZBmath =       "3263626",
}

@Article{Parlett:1969:BMC,
  author =       "B. N. Parlett and C. Reinsch",
  title =        "Balancing a matrix for calculation of eigenvalues and
                 eigenvectors",
  journal =      j-NUM-MATH,
  volume =       "13",
  pages =        "293--304",
  year =         "1969",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF02165404",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Sat Aug 2 15:39:45 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://eudml.org/doc/131920",
  ZMnumber =     "0184.37703",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  ZBmath =       "3293944",
}

@Article{Golub:1970:SVD,
  author =       "G. H. Golub and C. Reinsch",
  title =        "Singular value decomposition and least squares
                 solutions",
  journal =      j-NUM-MATH,
  volume =       "14",
  pages =        "403--420",
  year =         "1970",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF02163027",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Sat Aug 2 15:39:45 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://eudml.org/doc/131963",
  ZMnumber =     "0181.17602",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  ZBmath =       "3288169",
}

@Article{Martin:1970:ABS,
  author =       "R. S. Martin and C. Reinsch and J. H. Wilkinson",
  title =        "The {$ Q R $} algorithm for band symmetric matrices",
  journal =      j-NUM-MATH,
  volume =       "16",
  pages =        "85--92",
  year =         "1970",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF02308862",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F30 65F15 65Y20",
  bibdate =      "Sat Aug 2 15:39:45 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://eudml.org/doc/132019",
  ZMnumber =     "0211.46803",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  ZBmath =       "3335493",
}

@InCollection{Bowdler:1971:ASM,
  author =       "H. Bowdler and R. S. Martin and C. H. Reinsch and J.
                 H. Wilkinson",
  title =        "The {$ Q R $} and {$ Q L $} algorithms for symmetric
                 matrices",
  crossref =     "Wilkinson:1971:LA",
  pages =        "227--240",
  year =         "1971",
  bibdate =      "Tue May 08 14:20:56 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022);
                 James H. Wilkinson (27 September 1919--5 October
                 1986)",
}

@Book{Herriot:1971:APC,
  author =       "John G. Herriot and Christian H. Reinsch",
  title =        "{ALGOL} 60 procedures for the calculation of
                 interpolating natural spline functions",
  volume =       "71-200",
  publisher =    "Stanford, CA: Computer Science Department, School of
                 Humanities {and} Sciences, Stanford University",
  year =         "1971",
  MRclass =      "65D05 41-04",
  bibdate =      "Sat Aug 2 15:39:45 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  series =       "Rep., Dep. Comput. Sci., Stanford Univ.",
  ZMnumber =     "0252.65006",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  fseries =      "Report. Department of Computer Science. Stanford
                 University",
  ZBmath =       "3398651",
}

@InCollection{Martin:1971:ABS,
  author =       "R. S. Martin and C. H. Reinsch and J. H. Wilkinson",
  title =        "The {$ Q R $} algorithm for band symmetric matrices",
  crossref =     "Wilkinson:1971:LA",
  pages =        "266--272",
  year =         "1971",
  bibdate =      "Tue May 08 14:20:56 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022);
                 James H. Wilkinson (27 September 1919--5 October
                 1986)",
}

@InCollection{Martin:1971:HTS,
  author =       "R. S. Martin and C. H. Reinsch and J. H. Wilkinson",
  title =        "{Householder}'s tridiagonalization of a symmetric
                 matrix",
  crossref =     "Wilkinson:1971:LA",
  chapter =      "13",
  pages =        "212--226",
  year =         "1971",
  DOI =          "https://doi.org/10.1007/978-3-662-39778-7_13",
  bibdate =      "Tue May 08 14:20:56 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022);
                 James H. Wilkinson (27 September 1919--5 October
                 1986)",
}

@Misc{Reinsch:1971:MHA,
  author =       "Christian H. Reinsch",
  title =        "{Mathematische Hilfsmittel f{\"u}r das automatische
                 Zeichnen von Funktionen und Kurven}. ({German})
                 [{Mathematical} aids for the automatic drawing of
                 functions and curves]",
  howpublished = "{Fachtagung Computer Graphics, Ges. Informatik,
                 Bericht 2, 309--338 (1971).}",
  year =         "1971",
  MRclass =      "68T10 65S05",
  bibdate =      "Sat Aug 2 15:39:45 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  ZMnumber =     "0263.68056",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  language =     "German",
  ZBmath =       "3415419",
}

@Article{Reinsch:1971:SRA,
  author =       "Christian H. Reinsch",
  key =          "Reinsch",
  title =        "A stable, rational {$ Q R $} algorithm for the
                 computation of the eigenvalues of an {Hermitian},
                 tridiagonal matrix",
  journal =      j-MATH-COMPUT,
  volume =       "25",
  number =       "115",
  pages =        "591--597",
  month =        jul,
  year =         "1971",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2005222",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F30 65F15",
  MRnumber =     "295555",
  bibdate =      "Sat Aug 2 16:11:52 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database; Parallel/Multi.bib",
  ZMnumber =     "0222.65044",
  acknowledgement = ack-nhfb,
  ajournal =     "Math. Comput.",
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  ZBmath =       "3352711",
}

@Article{Reinsch:1971:SSF,
  author =       "Christian H. Reinsch",
  title =        "Smoothing by spline functions. {II}",
  journal =      j-NUM-MATH,
  volume =       "16",
  number =       "5",
  pages =        "451--454",
  month =        feb,
  year =         "1971",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF02169154",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65D10 41A15",
  bibdate =      "Sat Aug 2 15:39:45 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  note =         "See Part I \cite{Reinsch:1967:SSF}.",
  URL =          "https://eudml.org/doc/132051",
  ZMnumber =     "1248.65020",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  classification = "C4130 (Interpolation and function approximation)",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "convergence of numerical methods; interpolation;
                 smoothing by spline functions; splines; splines
                 (mathematics)",
  treatment =    "T Theoretical or Mathematical",
  ZBmath =       "6092127",
}

@Article{Herriot:1973:AAP,
  author =       "John G. Herriot and Christian H. Reinsch",
  title =        "{ACM Algorithm 472}: Procedures for Natural Spline
                 Interpolation [{E1}]",
  journal =      j-CACM,
  volume =       "16",
  number =       "12",
  pages =        "763--768",
  month =        dec,
  year =         "1973",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Mon Jan 22 06:49:39 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#Herriot73;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation); C7310
                 (Mathematics computing)",
  corpsource =   "Stanford Univ., CA, USA",
  journal-URL =  "https://dl.acm.org/loi/cacm",
  keywords =     "approximation; cubic natural spline; interpolation;
                 natural spline interpolation; procedures; splines
                 (mathematics); subroutines",
  oldlabel =     "Herriot73",
  treatment =    "A Application; T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Herriot73",
}

@Article{Reinsch:1973:AAE,
  author =       "Christian H. Reinsch",
  title =        "{ACM Algorithm 464}: Eigenvalues of a Real, Symmetric,
                 Tridiagonal Matrix [{F2}]",
  journal =      j-CACM,
  volume =       "16",
  number =       "11",
  pages =        "689--689",
  month =        nov,
  year =         "1973",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Mon Jan 22 07:15:26 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#Reinsch73;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  classcodes =   "B0290H (Linear algebra); C4140 (Linear algebra); C7310
                 (Mathematics computing)",
  corpsource =   "Tech. Univ., M{\"u}nchen, West Germany",
  journal-URL =  "https://dl.acm.org/loi/cacm",
  keywords =     "ALGOL; eigenvalues; eigenvalues and eigenfunctions;
                 matrix; matrix algebra; QR; real; subroutines;
                 symmetric; transformation; tridiagonal",
  oldlabel =     "Reinsch73",
  treatment =    "P Practical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Reinsch73",
}

@TechReport{Herriot:1974:APC,
  author =       "John G. Herriot and Christian H. Reinsch",
  title =        "{Algol-60} Procedures for the Calculation of
                 Interpolating Natural Quintic Spline Functions",
  type =         "Report",
  institution =  inst-STAN-CS,
  address =      inst-STAN-CS:adr,
  month =        jan,
  year =         "1974",
  bibdate =      "Sat Aug 02 17:03:27 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

@Article{Reinsch:1974:TES,
  author =       "Christian Reinsch",
  title =        "Two extensions of the {Sard--Schoenberg} theory of
                 best approximation",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "11",
  pages =        "45--51",
  year =         "1974",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0711006",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65D10 65D05 41A50 41A65 65D30 42A16",
  MRnumber =     "338646",
  MRreviewer =   "W. J. Kotz\'e",
  bibdate =      "Sat Aug 2 16:11:52 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  ZMnumber =     "0309.65005",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
  ZBmath =       "3485100",
}

@Article{Demmler:1975:OMS,
  author =       "A. Demmler and C. Reinsch",
  title =        "Oscillation matrices with spline smoothing",
  journal =      j-NUM-MATH,
  volume =       "24",
  number =       "5",
  pages =        "375--382",
  year =         "1975",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF01437406",
  ISSN =         "0029-599x (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65D05 65D10 41A15",
  MRnumber =     "395161",
  MRreviewer =   "David R. Hill",
  bibdate =      "Sat Aug 2 16:11:52 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://eudml.org/doc/132350",
  ZMnumber =     "0297.65002",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  ZBmath =       "3466408",
}

@Article{Herriot:1976:APQ,
  author =       "John G. Herriot and Christian H. Reinsch",
  title =        "{Algorithm 507}: Procedures for Quintic Natural Spline
                 Interpolation [{E1}]",
  journal =      j-TOMS,
  volume =       "2",
  number =       "3",
  pages =        "281--289",
  month =        sep,
  year =         "1976",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355694.355701",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Sat Aug 27 01:01:50 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See also \cite{Hanson:1982:RPQ}.",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
}

@InCollection{Reinsch:1977:SSE,
  author =       "Christian Reinsch",
  editor =       "Wayne Cowell",
  booktitle =    "Portability of Numerical Software, Workshop, {Oak
                 Brook, Illinois, June 21--23, 1976}",
  title =        "Some Side Effects of Striving for Portability",
  volume =       "57",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "3--4",
  year =         "1977",
  DOI =          "https://doi.org/10.1007/3-540-08446-0_31",
  ISBN =         "3-540-08446-0",
  ISBN-13 =      "978-3-540-08446-4",
  bibdate =      "Thu Aug 07 09:40:26 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  series =       ser-LNCS,
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  book-DOI =     "https://doi.org/10.1007/3-540-08446-0",
}

@InCollection{Reinsch:1979:BRN,
  author =       "Christian Reinsch",
  booktitle =    "{Jahrbuch {\"U}berblicke Mathematik}, 1979",
  title =        "{Die Behandlung von Rundungsfehlern in der numerischen
                 Analysis}. ({German}) [{Treatment} of rounding errors
                 in numerical analysis]",
  publisher =    "Bibliographisches Institut",
  address =      "Mannheim, Germany",
  pages =        "43--62",
  year =         "1979",
  ISBN =         "3-411-01559-4",
  ISBN-13 =      "978-3-411-01559-7",
  MRclass =      "65G50 65G30 65-02 65F15 65F05",
  MRnumber =     "554358",
  MRreviewer =   "Joachim Hirche",
  bibdate =      "Sat Aug 2 15:39:45 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  ZMnumber =     "0406.65021",
  acknowledgement = ack-nhfb,
  ajournal =     "Jahrb. {\"U}berblicke Math.",
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  language =     "German",
  ZBmath =       "3631856",
}

@Article{Reinsch:1979:PPC,
  author =       "Christian H. Reinsch",
  title =        "Principles and Preferences for Computer Arithmetic",
  journal =      j-SIGNUM,
  volume =       "14",
  number =       "1",
  pages =        "12--27",
  month =        mar,
  year =         "1979",
  CODEN =        "SNEWD6",
  DOI =          "https://doi.org/10.1145/1053417.1053418",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Tue Apr 12 07:50:06 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/signum.bib",
  abstract =     "This working paper arose out of discussions on
                 desirable hardware features for numerical calculation
                 in the IFIP Working Group 2.5 on Numerical Software. It
                 reflects the views of all members of the group,
                 although no formal vote of approval has been taken; it
                 is not an official IFIP document. Many people
                 contributed ideas to this paper, especially T. J.
                 Dekker, C. W. Gear, T. E. Hull, J. R. Rice, and J. L.
                 Schonfeldor.",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  classcodes =   "C5230 (Digital arithmetic methods)",
  corpsource =   "Leibniz-Rechenzentrum, Munich, West Germany",
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "https://dl.acm.org/loi/signum",
  keywords =     "computer arithmetic; digital arithmetic",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Hull:1980:PPI,
  author =       "Thomas E. Hull and Christian H. Reinsch and John R.
                 Rice",
  title =        "Principles, Preferences and Ideals for Computer
                 Arithmetic",
  type =         "Technical report",
  number =       "TR-339",
  institution =  inst-CS-PURDUE,
  address =      inst-CS-PURDUE:adr,
  pages =        "13",
  day =          "1",
  month =        jun,
  year =         "1980",
  bibdate =      "Sun Dec 30 13:46:29 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.cs.purdue.edu/research/technical_reports/1980/TR%2080-339.pdf",
  abstract =     "This paper presents principles and preferences for the
                 implementation of computer arithmetic and ideals for
                 the arithmetic facilities in future programming
                 languages. The implementation principles and
                 preferences are for the current approaches to the
                 design of arithmetic units. The ideals are for the long
                 term development of programming languages, with the
                 hope that arithmetic units will be built to support the
                 requirements of programming languages.",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  keywords =     "decimal floating-point arithmetic",
}

@Article{Herriot:1983:ATA,
  author =       "John G. Herriot and Christian H. Reinsch",
  title =        "{Algorithm 600}: Translation of {Algorithm} 507:
                 {Procedures} for Quintic Natural Spline Interpolation",
  journal =      j-TOMS,
  volume =       "9",
  number =       "2",
  pages =        "258--259",
  month =        jun,
  year =         "1983",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/357456.357465",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Sep 5 23:07:55 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
}

@Article{Dauner:1989:ATA,
  author =       "Herbert Dauner and Christian H. Reinsch",
  title =        "An analysis of two algorithms for shape-preserving
                 cubic spline interpolation",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "9",
  number =       "3",
  pages =        "299--314",
  year =         "1989",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/9.3.299",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65D07",
  MRnumber =     "1011393; 91a:65020",
  MRreviewer =   "Frederick N. Fritsch",
  bibdate =      "Sat Aug 2 16:11:52 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
                 MathSciNet database",
  ZMnumber =     "0681.65004",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934 (or 1934)--8 October
                 2022)",
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  keywords =     "65D05,65D07,41A05,41A15",
  ZBmath =       "4115814",
}

@InProceedings{Reinsch:1990:SSP,
  author =       "Christian H. Reinsch",
  title =        "Software for shape preserving spline interpolation",
  crossref =     "Cox:1990:RNC",
  pages =        "267--276",
  year =         "1990",
  ISBN =         "0-19-853564-3",
  ISBN-13 =      "978-0-19-853564-5",
  MRclass =      "65D05 65-04 65D07 41A05 41A15 65D10 41-04",
  MRnumber =     "1098330",
  bibdate =      "Tue Nov 2 19:30:33 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
  series =       "Oxford Sci. Publ.",
  ZMnumber =     "0719.65008",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  ZBmath =       "4186984",
}

@InProceedings{Golub:2007:SVD,
  author =       "Gene H. Golub and Christian H. Reinsch",
  title =        "Singular value decomposition and least squares
                 solutions",
  crossref =     "Chan:2007:MMC",
  chapter =      "12",
  pages =        "160--180",
  year =         "2007",
  bibdate =      "Sat Aug 02 16:02:48 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

@Misc{Reinsch:2009:BPC,
  author =       "Christian Reinsch",
  title =        "{Bernstein-Polynome f{\"u}r die Computer-Typographie}.
                 ({German}) [{Bernstein} polynomial for computer
                 typography]",
  howpublished = "Class notes",
  pages =        "25",
  day =          "19",
  month =        may,
  year =         "2009",
  bibdate =      "Thu Aug 07 08:47:21 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://drive.google.com/file/d/1B-LwGCOsuY3xfzamfScBUQBmHo7o-z64/view?usp=sharing",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  language =     "German",
}

@Misc{Reinsch:2013:PRA,
  author =       "Christian Reinsch",
  title =        "A Primer on the {Remez} Algorithm",
  howpublished = "Class notes",
  pages =        "13",
  day =          "17",
  month =        oct,
  year =         "2013",
  bibdate =      "Thu Aug 07 08:47:21 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://drive.google.com/file/d/1a1RKLOTpGJX9n_UoEjqM30knsV0YgSB-/view",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

@Misc{Reinsch:2014:PFK,
  author =       "Christian Reinsch",
  title =        "{Teil 2: Freiform-Kurven mit B-Splines und NURBs}.
                 ({German}) [{Part 2}: Free shape curves with
                 {B}-Splines and {NURBs}]",
  howpublished = "Class notes",
  pages =        "18",
  day =          "21",
  month =        jan,
  year =         "2014",
  bibdate =      "Thu Aug 07 08:47:21 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://drive.google.com/file/d/1Yoc-Uuoc0EhdracQnBOeR_s5EMagp6Gb/view?usp=sharing",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  language =     "German",
}

@Misc{Reinsch:2016:FSF,
  author =       "Christian Reinsch",
  title =        "{Fu{\ss}ball mit 20 Sechs- und 12 F{\"u}nfecken als
                 Teilen seiner Oberfl{\"a}che}. ({German}) [{Football}
                 with 20 six- and 12 pentagons as parts of its
                 surfaces]",
  howpublished = "Class notes",
  pages =        "4",
  day =          "16",
  month =        dec,
  year =         "2016",
  bibdate =      "Thu Aug 07 08:47:21 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://drive.google.com/open?id=1yWBqzhpAA5JOrGaV3Xerf8SiROtCW82d",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  language =     "German",
}

@Misc{Reinsch:2018:KPL,
  author =       "Christian Reinsch",
  title =        "{Ein kurzes Programm zum L{\"o}sen von
                 SUDOKU-R{\"a}tseln}. ({German}) [{A} short program for
                 the solution of {Sudoku} puzzles]",
  howpublished = "Class notes",
  pages =        "4",
  day =          "29",
  month =        jul,
  year =         "2018",
  bibdate =      "Thu Aug 07 08:47:21 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://drive.google.com/file/d/1Ew5DjomerB1Z7BmIkqhKbXhAvan1sL1i/view?usp=sharing",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  language =     "German",
}

@Misc{Reinsch:2019:DGZ,
  author =       "Christian Reinsch",
  title =        "{Den Dodekaeder (griechisch, Zw{\"o}lf-Fl{\"a}cher)}.
                 ({German}) [{The} Dodecahedron ({Greek}, 12-faces)]",
  howpublished = "Class notes",
  pages =        "1",
  day =          "26",
  month =        mar,
  year =         "2019",
  bibdate =      "Thu Aug 07 08:47:21 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://drive.google.com/file/d/1SldgysrOhyIjb5jKIXrNc75Kvdq6DL5f/view",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  language =     "German",
}

@Misc{Reinsch:2019:IGF,
  author =       "Christian Reinsch",
  title =        "{Der Ikosaeder (griechisch, ``20-Fl{\"a}cher;;) hat 20
                 gleichseitige Dreiecke als Oberfl{\"a}che}. ({German})
                 [{The} icosahedreon ({Greek}, ``20 faces'') has 20
                 equilibrium triangles on its surface]",
  howpublished = "Class notes",
  pages =        "2",
  day =          "25",
  month =        mar,
  year =         "2019",
  bibdate =      "Thu Aug 07 08:47:21 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://drive.google.com/file/d/1YEovz_i4MInUC56tkJifevtmVYjP0iIi/view",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  language =     "German",
}

@Misc{Reinsch:2022:CR,
  author =       "Christian Reinsch",
  title =        "{Christian Reinsch}",
  howpublished = "Web site",
  year =         "2022",
  bibdate =      "Wed Aug 06 16:53:25 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://sites.google.com/view/christianreinsch",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  remark =       "Includes short publication list.",
}

@Article{Reinsch:2023:SVD,
  author =       "Christian Reinsch and Mathias Richter",
  title =        "Singular value decomposition in extended double
                 precision arithmetic",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "93",
  number =       "3",
  pages =        "1137--1155",
  year =         "2023",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-022-01459-9",
  ISSN =         "1017-1398,1572-9265",
  ISSN-L =       "1017-1398",
  MRclass =      "65F55 (65F25 65G50)",
  MRnumber =     "4598587",
  bibdate =      "Sat Aug 2 16:11:52 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

%%% ====================================================================
%%%   Part 2 (of 2) --- Publications about Chrisian H. Reinsch and his
%%%                                works

@Article{Partlett:1972:BRB,
  author =       "B. Partlett",
  title =        "Book Review: {{\booktitle{Handbook for Automatic
                 Computation, Vol. II, Linear Algebra}} (J. H. Wilkinson
                 and C. Reinsch)}",
  journal =      j-SIAM-REVIEW,
  volume =       "14",
  number =       "4",
  pages =        "658--661",
  month =        "????",
  year =         "1972",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1014116",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Thu Mar 27 09:06:44 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/14/4;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM Rev.",
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022);
                 James H. Wilkinson (27 September 1919--5 October
                 1986)",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "October 1972",
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022);
                 James H. Wilkinson (27 September 1919--5 October
                 1986)",
}

@TechReport{Chan:1977:CSV,
  author        = "Tony Fan C. Chan",
  title         = "On computing the singular value decomposition",
  type          = "Technical Report",
  number        = "CS-TR-77-588",
  institution   = inst-STAN-CS,
  address       = inst-STAN-CS:adr,
  month         = feb,
  year          = "1977",
  bibdate       = "Fri Nov  7 07:00:05 MST 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/stanford-cstr.bib",
  URL           = "http://i.stanford.edu/TR/CS-TR-77-588.html",
  abstract      = "The most well-known and widely-used algorithm for
                 computing the Singular Value Decomposition (SVD) of an
                 $m \times n$ rectangular matrix A nowadays is the
                 Golub--Reinsch algorithm [1971]. In this paper, it is
                 shown that by (1) first triangularizing the matrix $A$ by
                 Householder transformations before bidiagonalizing it,
                 and (2) accumulating some left transformations on a $n \times
                 n$ array instead of on an $m \times n$ array, the resulting
                 algorithm is often more efficient than the
                 Golub--Reinsch algorithm, especially for matrices with
                 considerably more rows than columns ($m \gg n)$, such as
                 in least squares applications. The two algorithms are
                 compared in terms of operation counts, and
                 computational experiments that have been carried out
                 verify the theoretical comparisons. The modified
                 algorithm is more efficient even when $m$ is only
                 slightly greater than $n$, and in some cases can achieve
                 as much as 50\% savings when $m \gg n$. If accumulation of
                 left transformations is desired, then $n^2$ extra
                 storage locations are required (relatively small if $m >
                 > n$), but otherwise no extra storage is required. The
                 modified algorithm uses only orthogonal transformations
                 and is therefore numerically stable. In the Appendix,
                 we give the Fortran code of a hybrid method which
                 automatically selects the more efficient of the two
                 algorithms to use depending upon the input values for $m$
                 and $n$.",
  acknowledgement = ack-nhfb,
}

@Article{Luk:1980:CSV,
  author =       "Franklin T. Luk",
  title =        "Computing the Singular-Value Decomposition on the
                 {ILLIAC IV}",
  journal =      j-TOMS,
  volume =       "6",
  number =       "4",
  pages =        "524--539",
  month =        dec,
  year =         "1980",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355921.355925",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65F15",
  MRnumber =     "81k:65044",
  bibdate =      "Mon Aug 29 11:27:44 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
  keywords =     "Golub-Reinsch algorithm; Illiac; ILLIAC IV computer;
                 Jacobi-like method; nla; parallel matrix computations;
                 prll; singular-value decomposition; svd",
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

@Article{Oliver:1980:ANT,
  author =       "J. Oliver",
  title =        "On the application of {Newbery}'s transformation to
                 the {Reinsch} polynomial evaluation scheme",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "6",
  number =       "1",
  pages =        "43--52",
  month =        mar,
  year =         "1980",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0771-050X(80)90016-9",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65G05 (65D20)",
  MRnumber =     "568602",
  MRreviewer =   "C. W. Clenshaw",
  bibdate =      "Sat Aug 2 16:19:34 2025",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0771050X80900169",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  reviewer-dates = "Charles William Clenshaw (15 March 1926--23
                 September 2004)",
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

@Article{Hanson:1982:RPQ,
  author =       "R. J. Hanson",
  title =        "Remark on ``{Algorithm} 507: Procedures for Quintic
                 Natural Spline Interpolation [{E1}]''",
  journal =      j-TOMS,
  volume =       "8",
  number =       "3",
  pages =        "334--334",
  month =        sep,
  year =         "1982",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/356004.356011",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Tue Aug 30 00:28:07 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See \cite{Herriot:1976:APQ}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

@Article{Kohn:1987:NAS,
  author =       "Robert Kohn and Craig F. Ansley",
  title =        "A new algorithm for spline smoothing based on
                 smoothing a stochastic process",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "8",
  number =       "1",
  pages =        "33--48",
  month =        jan,
  year =         "1987",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0908004",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65D10 (62F15 62G99)",
  MRnumber =     "88h:65033",
  bibdate =      "Mon Mar 31 09:59:46 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Sci. Statist. Comput.",
  classification = "C1140Z (Other and miscellaneous); C4130
                 (Interpolation and function approximation)",
  corpsource =   "Graduate Sch. of Bus., Chicago Univ., IL, USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "Ansley-Kohn method; Bayes methods; Bayesian confidence
                 intervals; conditional expectation; filtering; optimal
                 spline smoothing; polynomial splines; Reinsch
                 algorithm; smoothing; splines (mathematics); state
                 space expression; state-space methods; stochastic
                 process smoothing; stochastic processes; Wahba model",
  onlinedate =   "January 1987",
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  treatment =    "T Theoretical or Mathematical",
}

@Article{DeRijk:1989:OSJ,
  author =       "P. P. M. {De Rijk}",
  title =        "A one-sided {Jacobi} algorithm for computing the
                 singular value decomposition on a vector computer",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "10",
  number =       "2",
  pages =        "359--371",
  month =        mar,
  year =         "1989",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0910023",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F15",
  MRnumber =     "90e:65056",
  MRreviewer =   "Dao Sheng Zheng",
  bibdate =      "Mon Mar 31 10:00:14 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Sci. Statist. Comput.",
  classification = "C4140 (Linear algebra)",
  corpsource =   "Dept. of Comput. Syst., Fac. of Math. and Comput.
                 Sci., Amsterdam Univ., Netherlands",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "computational modifications; Golub-Reinsch algorithm;
                 Jacobi algorithm; matrix algebra; parallel algorithms;
                 parallelism; singular value decomposition; vector
                 computer",
  onlinedate =   "March 1989",
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Ignatov:1990:RMS,
  author =       "M. I. Ignatov and A. B. Pevny{\u{i}}",
  title =        "Reinsch's method for solving the smoothing problem in
                 the multidimensional case",
  journal =      j-Z-VYCISL-MAT-MAT-FIZ,
  volume =       "30",
  number =       "2",
  pages =        "186--192, 334",
  year =         "1990",
  CODEN =        "ZVMFAN",
  DOI =          "https://doi.org/10.1016/0041-5553(90)90022-K",
  ISSN =         "0044-4669",
  MRclass =      "65D07 (65K05)",
  MRnumber =     "1045417",
  bibdate =      "Sat Aug 2 16:19:34 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Akademiya Nauk SSSR. Zhurnal Vychislitel\cprime
                 no{\u{i}} Matematiki i Matematichesko{\u{i}} Fiziki",
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

@Article{Kockler:1991:PGR,
  author =       "N. K{\"o}ckler and M. Simon",
  title =        "{Die Parallelisierung des Golub--Reinsch--Verfahrens
                 auf einem asynchronen Prozessorenring}. ({German})
                 [{Parallelization} of the {Golub--Reinsch} process on
                 an asynchronous processor ring]",
  journal =      j-Z-ANGE-MATH-MECH,
  volume =       "71",
  number =       "6",
  pages =        "T803--T806",
  month =        "????",
  year =         "1991",
  CODEN =        "ZAMMAX",
  ISSN =         "0044-2267 (print), 1521-4001 (electronic)",
  ISSN-L =       "0044-2267",
  MRclass =      "65Y05 (65F05)",
  MRnumber =     "1130438",
  bibdate =      "Thu Jun 6 10:18:47 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  note =         "Bericht {\"u}ber die Wissenschaftliche Jahrestagung
                 der GAMM (Hannover, 1990)",
  acknowledgement = ack-nhfb,
  fjournal =     "{Zeitschrift f{\"u}r Angewandte Mathematik und
                 Mechanik}",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
  subject-dates = "Gene Howard Golub (February 29, 1932--November 16,
                 2007); Christian H. Reinsch (?? ?? 1934--8 October
                 2022)",
}

@Article{Kockler:1991:PSV,
  author =       "N. Kockler and M. Simon",
  title =        "Parallel singular value decomposition with cyclic
                 storing",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "17",
  number =       "1",
  pages =        "39--47",
  month =        apr,
  year =         "1991",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  bibdate =      "Mon Apr 14 11:08:33 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Parallel Comput.",
  classification = "C4140 (Linear algebra)",
  corpsource =   "Paderborn Univ., Germany",
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191/",
  keywords =     "cyclic storing; Golub-Reinsch-algorithm; GRA; Hestenes
                 algorithm; matrix algebra; network; parallel
                 algorithms; processor; singular value decomposition",
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Carter:1992:CRS,
  author =       "C. K. Carter and G. K. Eagleson and B. W. Silverman",
  title =        "A Comparison of the {Reinsch} and {Speckman} Splines",
  journal =      j-BIOMETRIKA,
  volume =       "79",
  number =       "1",
  pages =        "81--91",
  month =        mar,
  year =         "1992",
  CODEN =        "BIOKAX",
  DOI =          "https://doi.org/10.2307/2337149",
  ISSN =         "0006-3444 (print), 1464-3510 (electronic)",
  ISSN-L =       "0006-3444",
  bibdate =      "Sat Jun 21 14:35:20 MDT 2014",
  bibsource =    "http://www.jstor.org/journals/00063444.html;
                 http://www.jstor.org/stable/i315534;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/biometrika1990.bib",
  URL =          "http://www.jstor.org/stable/2337149",
  acknowledgement = ack-nhfb,
  fjournal =     "Biometrika",
  journal-URL =  "http://www.jstor.org/journals/00063444.html",
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

@Article{deRosa:1995:PTA,
  author =       "M. A. {de Rosa} and G. Giunta and M. Rizzardi",
  title =        "Parallel {Talbot}'s algorithm for distributed memory
                 machines",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "21",
  number =       "5",
  pages =        "783--801 (or 783--802??)",
  day =          "10",
  month =        may,
  year =         "1995",
  CODEN =        "PACOEJ",
  DOI =          "https://doi.org/10.1016/0167-8191(94)00108-M",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  bibdate =      "Fri Aug 6 10:14:28 MDT 1999",
  bibsource =    "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1995&volume=21&issue=5;
                 https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
  URL =          "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1995&volume=21&issue=5&aid=974",
  acknowledgement = ack-nhfb,
  ajournal =     "Parallel Comput.",
  classification = "B0230 (Integral transforms); C1130 (Integral
                 transforms); C4240P (Parallel programming and algorithm
                 theory)",
  corpsource =   "Istituto di Matematica, Istituto Univ. Navale, Napoli,
                 Italy",
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191/",
  keywords =     "algorithm; Clenshaw's sums; distributed memory
                 machines; distributed memory MIMD machines; distributed
                 memory systems; Goertzel-Reinsch; Laplace; Laplace
                 inversion; Laplace transforms; numerical; parallel
                 algorithm; parallel algorithms; Riemann Inversion
                 Formula; stability; Talbot's algorithm; Transforms",
  subject-dates = "Charles William Clenshaw (15 March 1926--23 September
                 2004); Christian H. Reinsch (?? ?? 1934--8 October
                 2022)",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Sanusi:2003:RSE,
  author =       "Wahidah Sanusi and I. Nyoman Budiantara",
  title =        "The {Reinsch} spline estimator and its application",
  journal =      "Journal of the Indonesian Mathematical Society",
  volume =       "9",
  number =       "1",
  pages =        "1--8",
  year =         "2003",
  ISSN =         "0854-1388",
  MRclass =      "62G05 (41A15 62G08)",
  MRnumber =     "2013131",
  bibdate =      "Sat Aug 2 16:19:34 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Indones. Math. Soc.",
  fjournal =     "Journal of the Indonesian Mathematical Society.
                 Majalah Ilmiah Himpunan Matematika Indonesia (MIHMI)",
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

@Article{Van-Brunt:2016:SRA,
  author =       "Alexander Van-Brunt and Matt Visser",
  title =        "Simplifying the {Reinsch} algorithm for the
                 {Baker--Campbell--Hausdorff} series",
  journal =      j-J-MATH-PHYS,
  volume =       "57",
  number =       "2",
  pages =        "023507, 19",
  month =        feb,
  year =         "2016",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.4939929",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "81R05",
  MRnumber =     "3452190",
  bibdate =      "Sat Aug 2 16:19:34 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/jmathphys2015.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

@Article{Agoujil:2018:SGK,
  author =       "S. Agoujil and A. H. Bentbib and A. Kanber",
  title =        "Symplectic {Golub--Kahan--Reinsch} {SVD}-like matrix
                 decomposition",
  journal =      "Journal of Advanced Mathematical Studies",
  volume =       "11",
  number =       "2",
  pages =        "203--213",
  year =         "2018",
  ISSN =         "2065-3506,2065-5851",
  MRclass =      "15A23 (15A16 15A18)",
  MRnumber =     "3837708",
  MRreviewer =   "Dennis I. Merino",
  bibdate =      "Sat Aug 2 16:19:34 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Adv. Math. Stud.",
  fjournal =     "Journal of Advanced Mathematical Studies",
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

@Article{Wu:2019:SPB,
  author =       "Chun-Hun Wu and Pei-Yun Tsai",
  title =        "An {SVD} Processor Based on {Golub Reinsch} Algorithm
                 for {MIMO} Precoding With Adjustable Precision",
  journal =      j-IEEE-TRANS-CIRCUITS-SYST-1,
  volume =       "66",
  number =       "7",
  pages =        "2572--2583",
  year =         "2019",
  DOI =          "https://doi.org/10.1109/TCSI.2019.2899211",
  ISSN =         "1549-8328 (print), 1558-0806 (electronic)",
  ISSN-L =       "1549-8328",
  bibdate =      "Mon Oct 27 10:32:44 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/cordic.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Circuits and Systems I: Regular
                 Papers",
  journal-URL =  "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919",
  keywords =     "bidiagonalization; CORDIC; Degradation; Golub-Reinsch
                 SVD; Interference; Jacobian matrices; Matrix
                 decomposition; MIMO communication; MIMO precoding;
                 Precoding; Signal to noise ratio; SVD",
}

@Misc{Anonymous:2022:CR,
  author =       "Anonymous",
  title =        "{Christian Reinsch}",
  howpublished = "Wikipedia article",
  year =         "2022",
  bibdate =      "Wed Aug 06 16:49:18 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://en.wikipedia.org/wiki/Christian_Reinsch",
  acknowledgement = ack-nhfb,
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

@Misc{Gander:2022:CR,
  author =       "Walter Gander and Christoph Zenger",
  title =        "{Christian Reinsch}",
  howpublished = "Netlib Web site",
  day =          "12",
  month =        oct,
  year =         "2022",
  bibdate =      "Wed Aug 06 16:30:12 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://listserv.utk.edu/cgi-bin/wa?A2=NADIGEST;705e79c0.2210c;
                 https://netlib.org/na-digest-html/22/v22n34.html#1",
  acknowledgement = ack-nhfb,
  remark =       "From the posting: ``The famous Golub--Reinsch SVD
                 algorithm, cited over 4000 times, was created by
                 Reinsch.''",
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

@Misc{Moler:2022:CCC,
  author =       "Cleve Moler",
  title =        "{Cleve}'s Corner: {Christian Reinsch}, {Roland
                 Bulirsch}, and the {SVD}",
  howpublished = "MathWorks Web site.",
  day =          "23",
  month =        oct,
  year =         "2022",
  bibdate =      "Thu Jun 27 14:42:19 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
  URL =          "http://feeds.feedburner.com/mathworks/moler;
                 https://blogs.mathworks.com/cleve/2022/10/23/christian-reinsch-roland-bulirsch-and-the-svd/",
  acknowledgement = ack-nhfb,
  subject-dates = "Roland Zden{\v{e}}k Bulirsch (10 November 1932--21
                 September 2022); Christian H. Reinsch (?? ?? 1934--8
                 October 2022)",
}

@Misc{Moler:2022:OCR,
  author =       "Cleve Moler",
  title =        "Obituary: {Christian Reinsch}",
  howpublished = "SIAM News Web site.",
  day =          "28",
  month =        oct,
  year =         "2022",
  bibdate =      "Sat Aug 02 15:29:14 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://www.siam.org/publications/siam-news/articles/obituary-christian-reinsch/",
  acknowledgement = ack-nhfb,
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

@Misc{Gander:2024:CSa,
  author =       "Walter Gander",
  title =        "Computing the {SVD}",
  howpublished = "Netlib Web site.",
  day =          "5",
  month =        jul,
  year =         "2024",
  bibdate =      "Wed Aug 06 16:35:13 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://na-digest.coecis.cornell.edu/na-digest-html/24/v24n10.html#1",
  acknowledgement = ack-nhfb,
  remark =       "Gander discusses the independent development of the
                 singular-value decomposition by Gene Golub and Peter
                 Businger (together) and Christian Reinsch (separately),
                 and reports that Reinsch's version with shifts is
                 superior.",
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

@TechReport{Gander:2024:CSb,
  author =       "Walter Gander and Johann Joss",
  title =        "Computing the {SVD}",
  type =         "Report",
  institution =  "[retired from ETH]",
  address =      "Zurich, Switzerland",
  pages =        "25",
  day =          "24",
  month =        nov,
  year =         "2024",
  bibdate =      "Wed Aug 06 16:40:18 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib",
  URL =          "https://people.inf.ethz.ch/gander/talks/SVDnew.pdf",
  acknowledgement = ack-nhfb,
  subject-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
}

%%% ====================================================================
%%% Cross-referenced entries must come last:

@Book{Wilkinson:1971:LA,
  editor =       "James H. Wilkinson and Christian Reinsch",
  booktitle =    "Linear Algebra",
  title =        "Linear Algebra",
  volume =       "II",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "viii + 439",
  year =         "1971",
  ISBN =         "0-387-05414-6, 3-540-05414-6",
  ISBN-13 =      "978-0-387-05414-8, 978-3-540-05414-6",
  ISSN =         "0072-7830",
  LCCN =         "QA251 .W67",
  MRclass =      "65-01 65-04 65F99 15-XX",
  bibdate =      "Wed Dec 15 18:44:50 1993",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.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-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/gnu.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  series =       "Handbook for Automatic Computation, Editors: {F. L.
                 Bauer, A. S. Householder, F. W. J. Olver, H.
                 Rutishauser, K. Samelson and E. Stiefel}",
  ZMnumber =     "0219.65001",
  acknowledgement = ack-nhfb,
  editor-dates = "Christian Reinsch (?? ?? 1934--8 October 2022); James
                 H. Wilkinson (27 September 1919--5 October 1986)",
  fseries =      "Grundlehren der Mathematischen Wissenschaften",
  tableofcontents = "Part I: Linear systems, least squares and linear
                 programming \\
                 J. H. Wilkinson / Introduction to Part I / 1--8 \\
                 1. Introduction \\
                 2. List of procedures \\
                 3. Positive definite symmetric matrices \\
                 4. Non-positive definite symmetric matrices \\
                 5. Non-Hermitian matrices \\
                 6. Least squares and related problems \\
                 7. The linear programming problem \\
                 R. S. Martin, G. Peters and J. H. Wilkinson / Symmetric
                 decomposition of a positive definite matrix / 9--30 \\
                 Martin, Peters and Wilkinson / Iterative refinement of
                 the solution of a positive definite system of equations
                 / 31--44 \\
                 F. L. Bauer and C. Reinsch / Inversion of positive
                 definite matrices by the Gauss-Jordan method / 45--49
                 \\
                 Martin and Wilkinson / Symmetric decomposition of
                 positive definite band matrices / 50--56 \\
                 T. Ginsburg / The conjugate gradient method / 57--69
                 \\
                 Martin and Wilkinson / Solution of symmetric and
                 unsymmetric band equations and the calculation of
                 eigenvectors of band matrices / 70--92 \\
                 H. J. Bowdler, Martin, Peters and Wilkinson / Solution
                 of real and complex systems of linear equations /
                 93--110 \\
                 P. Businger and G. H. Golub / Linear least squares
                 solutions by Householder transformations / 111--118 \\
                 Bauer / Elimination with weighted row combinations for
                 solving linear equations and least squares problems /
                 119--133 \\
                 Golub and Reinsch / Singular value decomposition and
                 least squares solutions / 134--151 \\
                 R. H. Bartels, J. Stoer and Ch. Zenger / A realization
                 of the simplex method based on triangular
                 decompositions / 152--190 \\
                 Part II: The algebraic eigenvalue problem \\
                 Wilkinson / Introduction to Part II / 191--201 \\
                 1. Introduction \\
                 2. List of procedures \\
                 3. Real, dense, symmetric matrices \\
                 4. Symmetric band matrices \\
                 5. Simultaneous determination of dominant eigenvalues
                 and eigenvectors of a symmetric sparse matrix \\
                 6. The generalized symmetric eigenvalue problems $A x =
                 \lambda B x$ and $A B x = \lambda x$ \\
                 7. Hermitian matrices \\
                 8. Real dense unsymmetric matrices \\
                 9. Unsymmetric band matrices \\
                 10. Dense unsymmetric matrices with complex elements,
                 H. Rutishauser / The Jacobi method for real symmetric
                 matrices / 202--211 \\
                 Martin, Reinsch and Wilkinson / Householder's
                 tridiagonalization of a symmetric matrix / 212--226 \\
                 H. Bowdler, Martin, Reinsch and Wilkinson / The $QR$
                 and $QL$ algorithms for symmetric matrices / 227--240
                 \\
                 A. Dubrulle, Martin and Wilkinson / The implicit $QL$
                 algorithm / 241--248 \\
                 W. Barth, Martin, and Wilkinson / Calculation of the
                 eigenvalues of a symmetric tridiagonal matrix by the
                 method of bisection / 249--256 \\
                 Reinsch and Bauer / Rational $QR$ transformation with
                 Newton shift for symmetric tridiagonal matrices /
                 257--265 \\
                 Martin, Reinsch and Wilkinson / The $QR$ algorithm for
                 band symmetric matrices / 266--272 \\
                 H. R. Schwarz / Tridiagonalization of a symmetric band
                 matrix / 273--283 \\
                 Rutishauser / Simultaneous iteration method for
                 symmetric matrices / 284--302 \\
                 Martin and Wilkinson / Reduction of the symmetric
                 eigenproblem $A x = \lambda B x$ and related problems
                 to standard form / 303--314 \\
                 B. N. Parlett and Reinsch / Balancing a matrix for
                 calculation of eigenvalues and eigenvectors / 315--326
                 \\
                 P. J. Eberlein and J. Boothroyd / Solution to the
                 eigenproblem by a norm reducing Jacobi type method /
                 327--338 \\
                 Martin and Wilkinson / Similarity reduction of a
                 general matrix to Hessenberg form / 339--358 \\
                 Martin, Peters and Wilkinson / The $QR$ algorithm for
                 real Hessenberg matrices / 359--371 \\
                 Peters and Wilkinson / Eigenvectors of real and complex
                 matrices by $LR$ and $QR$ triangularizations / 372--395
                 \\
                 Martin and Wilkinson / The modified $LR$ algorithm for
                 complex Hessenberg matrices / 396--403 \\
                 Eberlein / Solution to the complex eigenproblem by a
                 norm reducing Jacobi type method / 404--417 \\
                 Peters and Wilkinson / The calculation of specified
                 eigenvectors by inverse iteration / 418--439",
  ZBmath =       "3349178",
}

@Proceedings{Cox:1990:RNC,
  editor =       "M. G. Cox and S. Hammarling",
  booktitle =    "Reliable numerical computation",
  title =        "Reliable numerical computation",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "xvi + 339",
  year =         "1990",
  ISBN =         "0-19-853564-3",
  ISBN-13 =      "978-0-19-853564-5",
  LCCN =         "QA297 .R435 1990",
  MRclass =      "65-06",
  MRnumber =     "91k:65011",
  bibdate =      "Fri Dec 20 18:34:52 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
  note =         "Based on papers from a conference in honour of the
                 late James Hardy Wilkinson (born 1919, died Sunday 5th
                 October 1986) held at National Physical Laboratory,
                 Teddington, Middlesex, UK, 8th--10th July 1987.",
  price =        "US\$75.00",
  acknowledgement = ack-nhfb,
}

@Book{Chan:2007:MMC,
  editor =       "Raymond H. Chan and Chen Greif and Dianne P. O'Leary",
  booktitle =    "Milestones in Matrix Computation: the Selected Works
                 of {Gene H. Golub} with Commentaries",
  title =        "Milestones in Matrix Computation: the Selected Works
                 of {Gene H. Golub} with Commentaries",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "xi + 565 + 3",
  year =         "2007",
  ISBN =         "0-19-920681-3",
  ISBN-13 =      "978-0-19-920681-0",
  LCCN =         "QA188 .G67 2007",
  MRclass =      "65-06 (01A75 65Fxx)",
  MRnumber =     "MR2281939 (2008b:65004)",
  MRreviewer =   "David Scott Watkins",
  bibdate =      "Sat Apr 07 10:23:33 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib;
                 https://www.math.utah.edu/pub/tex/bib/technometrics1970.bib",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0737/2007276086-d.html",
  abstract =     "The text presents and discusses some of the most
                 influential papers in Matrix Computation authored by
                 Gene H. Golub, one of the founding fathers of the
                 field. The collection of 21 papers in divided into five
                 main areas: iterative methods for linear systems,
                 solution of least squares problems, matrix
                 factorizations and applications, orthogonal polynomials
                 and quadrature, and eigenvalue problems an commentaries
                 for each area are provided by leading experts: Anne
                 Greenbaum, {\AA}ke Bj{\"o}rck, Nicholas Higham, Walter
                 Gautschi, and G. W. (Pete) Stewart. Comments on each
                 paper are also provided by the original authors,
                 providing the reader with historical information on how
                 the paper came to be written and under what
                 circumstances the collaboration was undertaken.
                 Including a brief biography and facsimiles of the
                 original papers, this text will be of great interest to
                 students and researchers in numerical analysis and
                 scientific computation.",
  acknowledgement = ack-nhfb,
  author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
  tableofcontents = "List of Plates / x \\
                 I: Gene H. Golub \\
                 1 Gene H. Golub Biography, by Chen Greif / 3 \\
                 2 Publications of Gene H. Golub / 13 \\
                 3 Major Awards / 30 \\
                 4 Students of Gene H. Golub / 32 \\
                 II: Iterative Methods for Linear Systems \\
                 5 Commentary, by Anne Greenbaum / 35 \\
                 References / 43 \\
                 6 Chebyshev semi-iterative methods, successive
                 over-relaxation iterative methods, and second-order
                 Richardson iterative methods, Parts I and II (with R.
                 S. Varga) / 45 \\
                 7 A generalized conjugate gradient method for
                 non-symmetric systems of linear equations (with Paul
                 Concus) / 68 \\
                 8 A generalized conjugate gradient method for the
                 numerical solution of elliptic partial differential
                 equations (with Paul Concus and Dianne P. O'Leary) / 79
                 \\
                 9 Hermitian and Skew-Hermitian Splitting Methods for
                 Non-Hermitian Positive Definite Linear Systems (with
                 Zhong-Zhi Bai and Michael K. Ng) / 102 \\
                 III: Solution of Least Squares Problems \\
                 10 Commentary, by {\AA}ke Bj{\"o}rck / 129 \\
                 References / 141 \\
                 11 Numerical methods for solving linear least squares
                 problems / 148 \\
                 12 Singular value decomposition and least squares
                 solutions (with C. Reinsch) / 160 \\
                 13 The differentiation of pseudo-inverses and
                 non-linear least squares problems whose variables
                 separate (with V. Pereyra) / 181 \\
                 14 Generalized cross-validation as a method for
                 choosing a good ridge parameter (with M. Heath and G.
                 Wahba) / 202 \\
                 15 An analysis of the total least squares problem (with
                 C. Van Loan) / 213 \\
                 IV: Matrix Factorizations and Applications \\
                 16 Commentary, by Nicholas Higham / 227 \\
                 References / 233 \\
                 17 Calculating the singular values and pseudo-inverse
                 of a matrix (with W. Kahan) / 236 \\
                 18 The simplex method of linear programming using $ L U
                 $ decomposition (with R. H. Bartels) / 257 \\
                 19 On direct methods for solving Poisson's equation
                 (with B. L. Buzbee and C. W. Nielson) / 261 \\
                 20 Numerical methods for computing angles between
                 linear subspaces (with {\AA}. Bj{\"o}rck) / 292 \\
                 21 Methods for modifying matrix factorizations (with P.
                 E. Gill, W. Murray and M. A. Saunders) / 309 \\
                 V: Orthogonal Polynomials and Quadrature \\
                 22 Commentary, by Walter Gautschi / 345 \\
                 References / 354 \\
                 23 Calculation of Gauss quadrature rules (with J. H.
                 Welsch) / 359 \\
                 24 Matrices, moments, and quadrature (with G{\'e}rard
                 Meurant) / 380 \\
                 25 Computation of Gauss--Kronrod Quadrature Rules (with
                 D. Calvetti, W. B. Gragg and L. Reichel) / 434 \\
                 VI: Eigenvalue Problems \\
                 26 Commentary, by G. W. Stewart / 457 \\
                 References / 465 \\
                 27 Some modified matrix eigenvalue problems / 467 \\
                 28 Ill-conditioned eigensystems and the computation of
                 the Jordan canonical form (with J. H. Wilkinson) / 485
                 \\
                 29 The block Lanczos method for computing eigenvalues
                 (with R. Underwood) / 528 \\
                 30 The numerically stable reconstruction of a Jacobi
                 matrix from spectral data (with C. de Boor) / 546 Index
                 / 563",
}

.