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{{Infobox scientist
| name = Gene H. Golub
| image = Genegolub.jpg <!--(filename only, i.e. without "File:" prefix)-->
| image_size
| alt =
| caption = Gene Golub in 2007
| birth_date = {{birth date |1932|2|29|mf=y}}
| birth_place = [[Chicago]], [[Illinois]], US
| death_date = {{death date and age |2007|11|16|1932|2|29|mf=y}}
| death_place = [[Stanford, California]], US
| fields = [[Computer science]]
|
|
| doctoral_advisor = [[Abraham Taub]] <!--(or | doctoral_advisors = )-->▼
▲| doctoral_advisor = [[Abraham Taub]] <!--(or | doctoral_advisors = )-->
| doctoral_students = [[Richard P. Brent]]<br>[[Michael Heath (computer scientist)|Michael Heath]]<br> [[Dianne O'Leary]]<br> [[Michael Overton]] <br> [[Michael Saunders (academic)|Michael Saunders]] <br> [[Margaret H. Wright]]
|
▲| awards =
}}
'''Gene Howard Golub''' (February 29, 1932 – November 16, 2007),
==Personal life==
Born in [[Chicago]], he was educated at the [[University of Illinois at Urbana-Champaign]], receiving his B.S. (1953), M.A. (1954) and Ph.D. (1959) all in mathematics.<ref>[[Chen Greif]], Gene H. Golub Biography, Online at Oxford University Press [https://wayback.archive-it.org/all/20080228183348/http://www.oup.co.uk/pdf/0-19-920681-3.pdf ], accessed 24 November 2007</ref> His M.A. degree was more specifically in Mathematical Statistics. His PhD dissertation was entitled "The Use of Chebyshev Matrix Polynomials in the Iterative Solution of Linear Equations Compared to the Method of Successive Overrelaxation" and his thesis adviser was [[Abraham Taub]]. Gene Golub succumbed to [[acute myeloid leukemia]] on the morning of 16 November 2007 at the Stanford Hospital.<ref>
{{Citation
| last = Moler
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==Stanford University==
He arrived at Stanford in 1962 and became a professor there in 1970. He advised more than thirty doctoral students, many of whom have themselves achieved distinction. Gene Golub was an important figure in numerical analysis and pivotal to creating the NA-Net and the NA-Digest, as well as the [[International Congress on Industrial and Applied Mathematics]].<ref>{{citation|title=Obituary: Gene H. Golub (1932–2007)|journal=[[Nature (journal)|Nature]]|volume=450|page=962|year=2007|doi=10.1038/450962a|first=Lloyd N.|last=Trefethen|author-link=Lloyd N. Trefethen|pmid=18075573|issue=7172|bibcode=2007Natur.450..962T|s2cid=4413569|doi-access=free}}.</ref>
One of his best-known books is ''Matrix Computations'',<ref>
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Gene Golub served as the president of the [[Society for Industrial and Applied Mathematics]] (SIAM) from 1985 to 1987 and was founding editor of both the [[SIAM Journal on Scientific Computing]] (SISC) and the [[SIAM Journal on Matrix Analysis and Applications]] (SIMAX).
==Selected publications==
===Articles===
* {{cite journal|doi=10.1090/S0025-5718-1962-0163430-6|title=Bounds for eigenvalues of tridiagonal symmetric matrices computed by the LR method|year=1962|last1=Golub|first1=Gene H.|journal=Mathematics of Computation|volume=16|issue=80|page=438|doi-access=free}}
* {{cite journal|author=Golub, Gene H.|title=Numerical methods for solving linear least squares problems|journal=Numerische Mathematik|volume=7|issue=3|year=1965|pages=206–216|doi=10.1007/BF01436075|hdl=10338.dmlcz/102951|s2cid=121494138|hdl-access=free}}
* {{cite journal|doi=10.1090/S0025-5718-69-99647-1|title=Calculation of Gauss quadrature rules|year=1969|last1=Golub|first1=Gene H.|last2=Welsch|first2=John H.|journal=Mathematics of Computation|volume=23|issue=106|page=221|doi-access=free}}
* {{cite book|doi=10.1007/978-3-662-39778-7_10|chapter=Singular Value Decomposition and Least Squares Solutions|title=Linear Algebra|year=1971|last1=Golub|first1=G. H.|last2=Reinsch|first2=C.|author2-link=Christian Reinsch|pages=134–151|isbn=978-3-662-38854-9}}
* {{cite journal|doi=10.1137/1015032|title=Some Modified Matrix Eigenvalue Problems|year=1973|last1=Golub|first1=Gene H.|journal=SIAM Review|volume=15|issue=2|pages=318–334}}
* {{cite journal|doi=10.1137/0710036|title=The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate|year=1973|last1=Golub|first1=G. H.|last2=Pereyra|first2=V.|journal=SIAM Journal on Numerical Analysis|volume=10|issue=2|pages=413–432|bibcode=1973SJNA...10..413G}}
* {{cite journal|doi=10.1090/S0025-5718-1973-0348991-3|title=Numerical methods for computing angles between linear subspaces|year=1973|last1=Björck|first1=Åke|last2=Golub|first2=Gene H.|journal=Mathematics of Computation|volume=27|issue=123|page=579|doi-access=free}}
* {{cite journal|doi=10.1090/S0025-5718-1974-0343558-6|title=Methods for modifying matrix factorizations|year=1974|last1=Gill|first1=P. E.|last2=Golub|first2=G. H.|last3=Murray|first3=W.|last4=Saunders|first4=M. A.|journal=Mathematics of Computation|volume=28|issue=126|page=505|doi-access=free}}
* {{cite journal|doi=10.1090/S0025-5718-1974-0415995-2|title=On Fourier-Toeplitz methods for separable elliptic problems|year=1974|last1=Fischer|first1=D.|last2=Golub|first2=G.|last3=Hald|first3=O.|last4=Leiva|first4=C.|last5=Widlund|first5=O.|journal=Mathematics of Computation|volume=28|issue=126|page=349|doi-access=free}}
* {{cite journal|doi=10.1080/00401706.1979.10489751|title=Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter|year=1979|last1=Golub|first1=Gene H.|last2=Heath|first2=Michael|last3=Wahba|first3=Grace|journal=Technometrics|volume=21|issue=2|pages=215–223}}
* {{cite journal|doi=10.1137/0717073|title=An Analysis of the Total Least Squares Problem|year=1980|last1=Golub|first1=Gene H.|last2=Van Loan|first2=Charles F.|journal=SIAM Journal on Numerical Analysis|volume=17|issue=6|pages=883–893|bibcode=1980SJNA...17..883G|hdl=1813/6251|hdl-access=free}}
* {{cite journal|doi=10.1090/S0025-5718-1984-0725989-1|title=A modified method for reconstructing periodic Jacobi matrices|year=1984|last1=Boley|first1=Daniel|last2=Golub|first2=Gene H.|journal=Mathematics of Computation|volume=42|issue=165|page=143|doi-access=free}}
* {{cite journal|doi=10.1090/S0025-5718-1990-1011442-X|title=Iterative methods for cyclically reduced nonselfadjoint linear systems|year=1990|last1=Elman|first1=Howard C.|last2=Golub|first2=Gene H.|journal=Mathematics of Computation|volume=54|issue=190|page=671|bibcode=1990MaCom..54..671E|doi-access=free}}
* {{cite journal|doi=10.1090/S0025-5718-1991-1068818-5|title=On generating polynomials which are orthogonal over several intervals|year=1991|last1=Fischer|first1=Bernd|last2=Golub|first2=Gene H.|journal=Mathematics of Computation|volume=56|issue=194|page=711|bibcode=1991MaCom..56..711F|doi-access=free}}
* {{cite journal|doi=10.1090/S0025-5718-1991-1052093-1|title=Iterative methods for cyclically reduced nonselfadjoint linear systems. II|year=1991|last1=Elman|first1=Howard C.|last2=Golub|first2=Gene H.|journal=Mathematics of Computation|volume=56|issue=193|page=215|bibcode=1991MaCom..56..215E|doi-access=free}}
* {{cite book|author=Golub, Gene H.|author2=Meurant, Gérard|chapter=Matrices, Moments and Quadrature|title=''In: David F. Griffiths, G. Alistair Watson (eds.)'': Numerical analysis 1993. Proceedings of the 15th Dundee Conference, June–July 1993|series=Pitman Research Notes in Mathematics Series. vol. 303|publisher=Longman Scientific & Technical|location=Harlow|year=1994|isbn=0-582-22568-X|pages=105–156}}
* {{cite journal|doi=10.1137/S1064827596299767|title=A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration|year=1999|last1=Chan|first1=Tony F.|last2=Golub|first2=Gene H.|last3=Mulet|first3=Pep|journal=SIAM Journal on Scientific Computing|volume=20|issue=6|pages=1964–1977|bibcode=1999SJSC...20.1964C }}
* {{cite journal|doi=10.1090/S0025-5718-00-01174-1|title=Computation of Gauss-Kronrod quadrature rules|year=2000|last1=Calvetti|first1=D.|last2=Golub|first2=G. H.|last3=Gragg|first3=W. B.|last4=Reichel|first4=L.|journal=Mathematics of Computation|volume=69|issue=231|pages=1035–1053|bibcode=2000MaCom..69.1035C|doi-access=free}}
* {{cite book|doi=10.1145/775152.775190|chapter=Extrapolation methods for accelerating Page ''Rank'' computations|title=Proceedings of the twelfth international conference on World Wide Web - WWW '03|year=2003|last1=Kamvar|first1=Sepandar D.|last2=Haveliwala|first2=Taher H.|last3=Manning|first3=Christopher D.|last4=Golub|first4=Gene H.|page=261|isbn=1581136803|s2cid=5645394}}
* {{cite journal|doi=10.1137/S0895479801395458|title=Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems|year=2003|last1=Bai|first1=Zhong-Zhi|last2=Golub|first2=Gene H.|last3=Ng|first3=Michael K.|journal=SIAM Journal on Matrix Analysis and Applications|volume=24|issue=3|pages=603–626}}
* {{cite journal|doi=10.1073/pnas.0406767101|title=Integrative analysis of genome-scale data by using pseudoinverse projection predicts novel correlation between DNA replication and RNA transcription|year=2004|last1=Alter|first1=Orly|last2=Golub|first2=Gene H.|journal=Proceedings of the National Academy of Sciences|volume=101|issue=47|pages=16577–16582|pmid=15545604|pmc=534520|bibcode=2004PNAS..10116577A|doi-access=free}}
* {{cite journal|doi=10.1073/pnas.0509033102|title=Reconstructing the pathways of a cellular system from genome-scale signals by using matrix and tensor computations|year=2005|last1=Alter|first1=Orly|last2=Golub|first2=Gene H.|journal=Proceedings of the National Academy of Sciences|volume=102|issue=49|pages=17559–17564|pmid=16314560|bibcode=2005PNAS..10217559A|pmc=1308929|doi-access=free}}
* {{cite journal|doi=10.1017/S0962492904000212|title=Numerical solution of saddle point problems|year=2005|last1=Benzi|first1=Michele|last2=Golub|first2=Gene H.|last3=Liesen|first3=Jörg|journal=Acta Numerica|volume=14|pages=1–137|bibcode=2005AcNum..14....1B|s2cid=122717775}}
* {{cite journal|doi=10.1073/pnas.0604756103|title=Singular value decomposition of genome-scale mRNA lengths distribution reveals asymmetry in RNA gel electrophoresis band broadening|year=2006|last1=Alter|first1=Orly|last2=Golub|first2=Gene H.|journal=Proceedings of the National Academy of Sciences|volume=103|issue=32|pages=11828–11833|pmid=16877539|pmc=1524674|bibcode=2006PNAS..10311828A|doi-access=free}}
* {{cite journal|doi=10.1073/pnas.0709146104|title=A tensor higher-order singular value decomposition for integrative analysis of DNA microarray data from different studies|year=2007|last1=Omberg|first1=Larsson|last2=Golub|first2=Gene H.|last3=Alter|first3=Orly|journal=Proceedings of the National Academy of Sciences|volume=104|issue=47|pages=18371–18376|pmid=18003902|pmc=2147680|bibcode=2007PNAS..10418371O|doi-access=free}}
* {{cite journal|doi=10.1090/S0025-5718-06-01892-8|title=Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices|year=2007|last1=Bai|first1=Zhong-Zhi|last2=Golub|first2=Gene H.|last3=Li|first3=Chi-Kwong|journal=Mathematics of Computation|volume=76|issue=257|pages=287–299|bibcode=2007MaCom..76..287B|doi-access=free}}
===Books===
* with [[Charles Van Loan]]: ''Matrix Computations'' (= ''Johns Hopkins Series in the Mathematical Sciences.'' 3). Johns Hopkins University Press, Baltimore MD 1983, ISBN 0-8018-3010-9; 2nd edition 1989; 3rd edition 1996; [https://books.google.com/books?id=X5YfsuCWpxMC 4th edition 2013]<ref>{{cite journal|title=Featured Review: ''Matrix Computations''. Fourth Edition by Gene H. Golub, Charles F. Van Loan|author=Adams, Loyce M.|journal=SIAM Review|volume=56|issue=1|date=March 2014|pages=189–191|jstor=24248458|url=https://www.jstor.org/stable/24248458}}</ref>
* ''Studies in Numerical Analysis.'' Mathematical Association of America, 1985, 426 pages.
* with James M. Ortega: [https://books.google.com/books?id=Ai70s9DkfI8C ''Scientific Computing and Differential Equations. An Introduction to Numerical Methods.''] Academic Press, Boston MA etc. 1992, ISBN 0-12-289255-0.<ref>{{cite journal|doi=10.1090/S0273-0979-1993-00371-9|title=Book Review: ''Scientific computing and differential equations—An introduction to numerical methods''|year=1993|last1=Young|first1=David M.|author-link=David M. Young Jr.|journal=Bulletin of the American Mathematical Society|volume=28|issue=2|pages=397–399|doi-access=free}}</ref>
* with James M. Ortega: ''Scientific Computing: An Introduction with Parallel Computing.'' Academic Press, 1993; [https://books.google.com/books?id=iebMBQAAQBAJ 2014 pbk reprint]
* with Moody T. Chu: [https://books.google.com/books?id=IM4TDAAAQBAJ ''Inverse Eigenvalue problems. Theory, algorithms, and applications.''] Oxford University Press, Oxford etc. 2005, ISBN 0-19-856664-6.
* [https://books.google.com/books?id=IEAVDAAAQBAJ ''Milestones in Matrix Computation: The Selected Works of Gene H. Golub with Commentaries.''] Oxford University Press, 2007.<ref>{{cite web|title=Review of ''Milestones in Matrix Computation: The Selected Works of Gene H. Golub with Commentaries''|date=1 October 2011|website=European Mathematical Society|url=https://euro-math-soc.eu/review/milestones-matrix-computation-selected-works-gene-h-golub-commentaries}}</ref>
* with Gérard Meurant: [https://books.google.com/books?id=IZvkFET3LlwC ''Matrices, Moments and Quadrature with Applications.''] Princeton University Press, 2009, {{isbn|1-4008-3388-4}}
==References==
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*[http://sccm.stanford.edu/faculty/nf-golub.html Home page at Stanford University] {{webarchive |url=https://web.archive.org/web/20070513111448/http://sccm.stanford.edu/faculty/nf-golub.html |date=May 13, 2007 }}
*{{MathGenealogy |id=39145}}
*Oral history interviews with Gene H. Golub, [[Charles Babbage Institute]], University of Minnesota. Interview by [[Pamela McCorduck]], [http://purl.umn.edu/107334 16 May 1979] and [http://purl.umn.edu/107335 8 June 1979], Stanford, California.
*[http://history.siam.org/oralhistories/golub.htm Gene Golub, Oral history interview by Thomas Haigh], 22–23 October 2005, Stanford University. Society for Industrial and Applied Mathematics, Philadelphia, PA, six-hour interview covers full career - transcript online.
*[http://ta.twi.tudelft.nl/wagm/users/rojas/Gene/Home.html Gene Golub in pictures around the world].
* [http://www.oac.cdlib.org/findaid/ark:/13030/kt5j49s30f/ Gene Golub Papers]
*"Because of space limitations... Master bibliography of matrix computation (pdf, 565 Kbytes, 66 pages) is online" from 4th edition (2013) of "Matrix computations": [http://www.press.jhu.edu/books/supplemental/MatrixComputations4th_bibliography.pdf] {{Webarchive|url=https://web.archive.org/web/20160304190733/http://www.press.jhu.edu/books/supplemental/MatrixComputations4th_bibliography.pdf |date=2016-03-04 }}
*[http://www.nasonline.org/publications/biographical-memoirs/memoir-pdfs/golub-gene.pdf Dianne P. O'Leary, "Gene H. Golub", Biographical Memoirs of the National Academy of Sciences (2018)]
{{Authority control}}
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[[Category:Fellows of the American Academy of Arts and Sciences]]
[[Category:Members of the Royal Swedish Academy of Engineering Sciences]]
[[Category:Deaths from acute myeloid leukemia]]
[[Category:Singular value decomposition]]
[[Category:Stanford University School of Engineering faculty]]
[[Category:University of Illinois
[[Category:Deaths from
[[Category:1932 births]]
[[Category:2007 deaths]]
[[Category:Presidents of the Society for Industrial and Applied Mathematics]]
[[Category:20th-century American Jews]]
[[Category:21st-century American Jews]]
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