@Preamble{
"\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" #
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"\ifx \undefined \cyr \let \cyr = \relax \fi" #
"\ifx \undefined \flqq \def \flqq {\ifmmode \ll
\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" #
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"\ifx \undefined \glsq \def \glsq {,} \fi" #
"\ifx \undefined \grsq \def \grsq {`} \fi"
}
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S{\'e}ances de l'Acad{\'e}mie des Sciences"}
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Society"}
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Applications"}
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@String{j-SIAM-REVIEW = "SIAM Review"}
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Computing"}
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@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}"}
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@String{pub-ACADEMIC = "Academic Press"}
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@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"}
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@String{pub-ELSEVIER:adr = "Amsterdam, The Netherlands"}
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@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"}
@String{ser-LNCS = "Lecture Notes in Computer Science"}
@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-STANFORD-CS,
address = inst-STANFORD-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",
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",
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/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/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/signum.bib",
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",
acknowledgement = ack-nhfb,
author-dates = "Christian H. Reinsch (?? ?? 1934--8 October 2022)",
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@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)",
}
@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)",
}
@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)",
}
@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",
}
