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Gene Golub: diferenças entre revisões

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Gene Golub foi um matemático fundamental na análise numérica e na criação da NA-Net e NA-Digest, bem como o [[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|pmid=18075573|issue=7172}}.</ref>
Gene Golub foi um matemático fundamental na análise numérica e na criação da NA-Net e NA-Digest, bem como o [[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|pmid=18075573|issue=7172}}.</ref>


== Publicações selecionadas ==

=== Artigos ===

* {{cite journal |title=Bounds for eigenvalues of tridiagonal symmetric matrices computed by the LR method |issue=80 |year=1962 |page=438 |doi=10.1090/S0025-5718-1962-0163430-6 |volume=16 |doi-access=free |last1=Golub |first1=Gene H. |journal=Mathematics of Computation}}
* {{cite journal |title=Numerical methods for solving linear least squares problems |issue=3 |author=Golub, Gene H. |year=1965 |pages=206–216 |doi=10.1007/BF01436075 |volume=7 |hdl-access=free |journal=Numerische Mathematik |hdl=10338.dmlcz/102951 |s2cid=121494138}}
* {{cite journal |title=Calculation of Gauss quadrature rules |issue=106 |last2=Welsch |first2=John H. |year=1969 |page=221 |doi=10.1090/S0025-5718-69-99647-1 |volume=23 |doi-access=free |last1=Golub |first1=Gene H. |journal=Mathematics of Computation}}
* {{cite book|title=Linear Algebra|last1=Golub|first1=G. H.|last2=Reinsch|first2=C.|chapter=Singular Value Decomposition and Least Squares Solutions|doi=10.1007/978-3-662-39778-7_10|isbn=978-3-662-38854-9|year=1971|pages=134–151}}
* {{cite journal |title=Some Modified Matrix Eigenvalue Problems |issue=2 |year=1973 |pages=318–334 |doi=10.1137/1015032 |volume=15 |last1=Golub |first1=Gene H. |journal=SIAM Review}}
* {{cite journal |title=The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate |issue=2 |last2=Pereyra |first2=V. |year=1973 |pages=413–432 |bibcode=1973SJNA...10..413G |doi=10.1137/0710036 |volume=10 |last1=Golub |first1=G. H. |journal=SIAM Journal on Numerical Analysis}}
* {{cite journal |title=Numerical methods for computing angles between linear subspaces |issue=123 |last2=Golub |first2=Gene H. |year=1973 |page=579 |doi=10.1090/S0025-5718-1973-0348991-3 |volume=27 |last1=Björck |first1=Åke |journal=Mathematics of Computation}}
* {{cite journal |title=Methods for modifying matrix factorizations |issue=126 |last2=Golub |first2=G. H. |year=1974 |page=505 |doi=10.1090/S0025-5718-1974-0343558-6 |last3=Murray |first3=W. |last4=Saunders |first4=M. A. |volume=28 |doi-access=free |last1=Gill |first1=P. E. |journal=Mathematics of Computation}}
* {{cite journal |title=On Fourier-Toeplitz methods for separable elliptic problems |issue=126 |last2=Golub |first2=G. |year=1974 |page=349 |doi=10.1090/S0025-5718-1974-0415995-2 |last3=Hald |first3=O. |last4=Leiva |first4=C. |last5=Widlund |first5=O. |volume=28 |doi-access=free |journal=Mathematics of Computation |first1=D. |last1=Fischer}}
* {{cite journal |title=Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter |issue=2 |last2=Heath |first2=Michael |year=1979 |pages=215–223 |doi=10.1080/00401706.1979.10489751 |last3=Wahba |first3=Grace |volume=21 |last1=Golub |first1=Gene H. |journal=Technometrics}}
* {{cite journal |title=An Analysis of the Total Least Squares Problem |issue=6 |last2=Van Loan |first2=Charles F. |year=1980 |pages=883–893 |bibcode=1980SJNA...17..883G |doi=10.1137/0717073 |volume=17 |hdl-access=free |last1=Golub |first1=Gene H. |journal=SIAM Journal on Numerical Analysis |hdl=1813/6251}}
* {{cite journal |title=A modified method for reconstructing periodic Jacobi matrices |issue=165 |last2=Golub |first2=Gene H. |year=1984 |page=143 |doi=10.1090/S0025-5718-1984-0725989-1 |volume=42 |doi-access=free |last1=Boley |first1=Daniel |journal=Mathematics of Computation}}
* {{cite journal |title=Iterative methods for cyclically reduced nonselfadjoint linear systems |issue=190 |last2=Golub |first2=Gene H. |year=1990 |page=671 |bibcode=1990MaCom..54..671E |doi=10.1090/S0025-5718-1990-1011442-X |volume=54 |doi-access=free |last1=Elman |first1=Howard C. |journal=Mathematics of Computation}}
* {{cite journal |title=On generating polynomials which are orthogonal over several intervals |issue=194 |last2=Golub |first2=Gene H. |year=1991 |page=711 |bibcode=1991MaCom..56..711F |doi=10.1090/S0025-5718-1991-1068818-5 |volume=56 |doi-access=free |last1=Fischer |first1=Bernd |journal=Mathematics of Computation}}
* {{cite journal |title=Iterative methods for cyclically reduced nonselfadjoint linear systems. II |issue=193 |last2=Golub |first2=Gene H. |year=1991 |page=215 |bibcode=1991MaCom..56..215E |doi=10.1090/S0025-5718-1991-1052093-1 |volume=56 |doi-access=free |last1=Elman |first1=Howard C. |journal=Mathematics of Computation}}
* {{cite book|title=''In: David F. Griffiths, G. Alistair Watson (eds.)'': Numerical analysis 1993. Proceedings of the 15th Dundee Conference, June–July 1993|author=Golub, Gene H.|author2=Meurant, Gérard|publisher=Longman Scientific & Technical|series=Pitman Research Notes in Mathematics Series. vol. 303|chapter=Matrices, Moments and Quadrature|isbn=0-582-22568-X|location=Harlow|year=1994|pages=105–156}}
* {{cite journal |title=A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration |issue=6 |last2=Golub |first2=Gene H. |year=1999 |pages=1964–1977 |doi=10.1137/S1064827596299767 |last3=Mulet |first3=Pep |volume=20 |last1=Chan |first1=Tony F. |journal=SIAM Journal on Scientific Computing}}
* {{cite journal |title=Computation of Gauss-Kronrod quadrature rules |issue=231 |last2=Golub |first2=G. H. |year=2000 |pages=1035–1053 |bibcode=2000MaCom..69.1035C |doi=10.1090/S0025-5718-00-01174-1 |last3=Gragg |first3=W. B. |last4=Reichel |first4=L. |volume=69 |last1=Calvetti |first1=D. |journal=Mathematics of Computation}}
* {{cite book|title=Proceedings of the twelfth international conference on World Wide Web - WWW '03|last1=Kamvar|first1=Sepandar D.|last2=Haveliwala|first2=Taher H.|last3=Manning|first3=Christopher D.|last4=Golub|first4=Gene H.|chapter=Extrapolation methods for accelerating Page ''Rank'' computations|doi=10.1145/775152.775190|isbn=1581136803|year=2003|page=261|s2cid=5645394}}
* {{cite journal |title=Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems |issue=3 |last2=Golub |first2=Gene H. |year=2003 |pages=603–626 |doi=10.1137/S0895479801395458 |last3=Ng |first3=Michael K. |volume=24 |last1=Bai |first1=Zhong-Zhi |journal=SIAM Journal on Matrix Analysis and Applications}}
* {{cite journal |title=Integrative analysis of genome-scale data by using pseudoinverse projection predicts novel correlation between DNA replication and RNA transcription |issue=47 |last2=Golub |first2=G. H. |year=2004 |pages=16577–16582 |bibcode=2004PNAS..10116577A |doi=10.1073/pnas.0406767101 |pmc=534520 |pmid=15545604 |volume=101 |doi-access=free |last1=Alter |first1=O. |journal=Proceedings of the National Academy of Sciences}}
* {{cite journal |title=Reconstructing the pathways of a cellular system from genome-scale signals by using matrix and tensor computations |issue=49 |last2=Golub |first2=G. H. |year=2005 |pages=17559–17564 |bibcode=2005PNAS..10217559A |doi=10.1073/pnas.0509033102 |pmc=1308929 |pmid=16314560 |volume=102 |doi-access=free |last1=Alter |first1=O. |journal=Proceedings of the National Academy of Sciences}}
* {{cite journal |title=Numerical solution of saddle point problems |last2=Golub |first2=Gene H. |year=2005 |pages=1–137 |bibcode=2005AcNum..14....1B |doi=10.1017/S0962492904000212 |last3=Liesen |first3=Jörg |volume=14 |last1=Benzi |first1=Michele |journal=Acta Numerica |s2cid=122717775}}
* {{cite journal |title=Singular value decomposition of genome-scale mRNA lengths distribution reveals asymmetry in RNA gel electrophoresis band broadening |issue=32 |last2=Golub |first2=G. H. |year=2006 |pages=11828–11833 |bibcode=2006PNAS..10311828A |doi=10.1073/pnas.0604756103 |pmc=1524674 |pmid=16877539 |volume=103 |doi-access=free |last1=Alter |first1=O. |journal=Proceedings of the National Academy of Sciences}}
* {{cite journal |title=A tensor higher-order singular value decomposition for integrative analysis of DNA microarray data from different studies |issue=47 |last2=Golub |first2=G. H. |year=2007 |pages=18371–18376 |bibcode=2007PNAS..10418371O |doi=10.1073/pnas.0709146104 |pmc=2147680 |pmid=18003902 |last3=Alter |first3=O. |volume=104 |doi-access=free |journal=Proceedings of the National Academy of Sciences |first1=L. |last1=Omberg}}
* {{cite journal |title=Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices |issue=257 |last2=Golub |first2=Gene H. |year=2007 |pages=287–299 |bibcode=2007MaCom..76..287B |doi=10.1090/S0025-5718-06-01892-8 |last3=Li |first3=Chi-Kwong |volume=76 |last1=Bai |first1=Zhong-Zhi |journal=Mathematics of Computation}}

=== Livros ===

* com [[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; 2o. Edição 1989; 3o. Edição 1996; [https://www.google.com/books?id=X5YfsuCWpxMC 4th edition 2013]<ref>{{cite journal |url=https://www.jstor.org/stable/24248458 |title=Featured Review: ''Matrix Computations''. Fourth Edition by Gene H. Golub, Charles F. Van Loan |date=March 2014 |issue=1 |author=Adams, Loyce M. |pages=189–191 |jstor=24248458 |volume=56 |journal=SIAM Review}}</ref>
* ''Studies in Numerical Analysis.'' Mathematical Association of America, 1985, 426 páginas.
* com James M. Ortega: [https://books.google.com/books/about/Scientific_Computing_and_Differential_Eq.html?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 |title=Book Review: ''Scientific computing and differential equations—An introduction to numerical methods'' |issue=2 |year=1993 |pages=397–399 |doi=10.1090/S0273-0979-1993-00371-9 |volume=28 |doi-access=free |last1=Young |first1=David M. |author-link=David M. Young Jr. |journal=Bulletin of the American Mathematical Society}}</ref>
* com James M. Ortega: ''Scientific Computing: An Introduction with Parallel Computing.'' Academic Press, 1993; [https://books.google.com/books/about/Scientific_Computing.html?id=iebMBQAAQBAJ 2014 pbk reprint]
* com Moody T. Chu: [https://www.google.com/books?id=IM4TDAAAQBAJ ''Inverse Eigenvalue problems. Theory, algorithms, and applications.''] Oxford University Press, Oxford etc. 2005, ISBN 0-19-856664-6.
* [https://www.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|url=https://euro-math-soc.eu/review/milestones-matrix-computation-selected-works-gene-h-golub-commentaries|title=Review of ''Milestones in Matrix Computation: The Selected Works of Gene H. Golub with Commentaries''|date=1 October 2011|website=European Mathematical Society}}</ref>
* com Gérard Meurant: [https://books.google.com/books?id=IZvkFET3LlwC ''Matrices, Moments and Quadrature with Applications.''] Princeton University Press, 2009,
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Revisão das 17h32min de 28 de fevereiro de 2022

Gene Golub
Gene Golub
Gene Golub, em 2007
Nascimento Gene Howard Golub
29 de fevereiro de 1932
Chicago
Morte 16 de novembro de 2007 (75 anos)
Stanford (Califórnia)
Sepultamento Shalom Memorial Park
Nacionalidade estadunidense
Cidadania Estados Unidos
Etnia judeus
Alma mater Universidade de Illinois em Urbana-Champaign
Ocupação matemático, professor universitário, cientista de computação, estatístico
Prêmios
Empregador(a) Universidade Stanford, Universidade de Cambridge, Laboratório Nacional Lawrence Berkeley, Instituto Courant de Ciências Matemáticas, Universidade Stanford
Orientador(a)(es/s) Abraham Haskel Taub
Campo(s) matemática
Tese 1959: The Use of Chebyshev Matrix Polynomials in the Iterative Solution of Linear Equations Compared to the Method of Successive Overrelaxation
Obras destacadas Matrix Computations
Causa da morte leucemia

Gene Howard Golub (Chicago, 29 de fevereiro de 1932Stanford (Califórnia), 16 de novembro de 2007) foi um matemático estadunidense.

Professor catedrático da cadeira "Fletcher Jones" de Ciência da Computação (e, por cortesia, de Engenharia Eletrônica) da Universidade Stanford.

Estudou na Universidade de Illinois em Urbana-Champaign, obtendo o B.S. (1953), M.A. (1954) e Ph.D. (1959), todos em matemática.[1] Seu grau de M.A. foi em estatística matemática. Em sua tese de doutorado, "The Use of Chebyshev Matrix Polynomials in the Iterative Solution of Linear Equations Compared to the Method of Successive Overrelaxation", foi seu orientador Abraham Haskel Taub. Trabalhou em Stanford desde 1962, onde tornou-se professor em 1970. Orientou aprox. 30 estudantes de doutorado.

Gene Golub foi um matemático fundamental na análise numérica e na criação da NA-Net e NA-Digest, bem como o International Congress on Industrial and Applied Mathematics.[2]

Publicações selecionadas

Artigos

Livros

Referências

  1. Chen Greif, Gene H. Golub Biography, Online at Oxford University Press [1][ligação inativa], acessado em 29 de abril de 2011
  2. Trefethen, Lloyd N. (2007), «Obituary: Gene H. Golub (1932–2007)», Nature, 450 (7172): 962, PMID 18075573, doi:10.1038/450962a .
  3. Adams, Loyce M. (March 2014). «Featured Review: Matrix Computations. Fourth Edition by Gene H. Golub, Charles F. Van Loan». SIAM Review. 56 (1): 189–191. JSTOR 24248458  Verifique data em: |data= (ajuda)
  4. Young, David M. (1993). «Book Review: Scientific computing and differential equations—An introduction to numerical methods». Bulletin of the American Mathematical Society. 28 (2): 397–399. doi:10.1090/S0273-0979-1993-00371-9Acessível livremente 
  5. «Review of Milestones in Matrix Computation: The Selected Works of Gene H. Golub with Commentaries». European Mathematical Society. 1 October 2011  Verifique data em: |data= (ajuda)

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