Gene H. Golub 📖 Wikipedia

Gene H. Golub
Gene Golub di tahun 2007
Lahir	(1932-02-29)29 Februari 1932 Chicago, Illinois, US
Meninggal	16 November 2007(2007-11-16) (umur 75) Stanford, California
Almamater	Universitas Illinois Urbana-Champaign
Karier ilmiah
Bidang	ilmu komputer
Institusi	Stanford University
Pembimbing doktoral	Abraham Taub
Mahasiswa doktoral	Richard P. Brent Michael Heath Dianne O'Leary Michael Overton Michael Saunders Margaret H. Wright

Gene Howard Golub (29 Februari 1932 – 16 November 2007) adalah seorang ahli analisis numerik dan matematikawan dari Amerika Serikat yang mengajar di Universitas Stanford sebagai profesor ilmu komputer dan memegang jabatan kehormatan di bidang teknik elektro.^[1]

Dilahirkan di Chicago, dia menempuh pendidikan di Universitas Illinois di Urbana-Champaign, menerima gelar BS (1953), MA (1954) dan Ph.D. (1959), semuanya dalam bidang matematika. Gelar MA-nya mengenai Statistika Matematika dan disertasi PhD-nya berjudul "Penggunaan Polinomial Matriks Chebyshev dalam Solusi Iteratif linear dengan Metode Overrelaxation Suksesif" dengan pembimbing tesis Abraham H. Taub. Gene Golub meninggal dunia akibat leukemia myeloid akut pada pagi hari tanggal 16 November 2007 di Rumah Sakit Stanford.^[2]

Ia tiba di Stanford pada tahun 1962 dan menjadi profesor di sana pada tahun 1970. Ia membimbing lebih dari tiga puluh mahasiswa doktoral, banyak di antaranya telah meraih prestasi gemilang. Gene Golub adalah tokoh penting dalam analisis numerik dan berperan penting dalam membentuk jaringan NA-Net dan NA-Digest, serta memulai suatu Kongres Internasional tentang matematika terapan dan matematika industri.

Salah satu bukunya yang terkenal adalah Matrix Computations, yang ditulis bersama Charles F. Van Loan. Ia merupakan kontributor utama algoritma untuk dekomposisi matriks. Secara khusus, ia menerbitkan sebuah algoritma bersama William Kahan pada tahun 1970 yang memungkinkan komputasi dekomposisi nilai singular (SVD) dan masih digunakan hingga saat ini. Publikasi atas karyanya diterbitkan pada tahun 2007 oleh Oxford University Press sebagai "Milestones in Matrix Computation".^[3]

Golub dianugerahi Medali emas B. Bolzano untuk jasanya di bidang ilmu matematika dan merupakan salah satu dari sedikit orang yang terpilih menjadi anggota tiga akademi nasional: Akademi Ilmu Pengetahuan Nasional (1993), akademi Teknik Nasional (1990), dan akademi Seni dan Sains Amerika (1994). Ia juga merupakan anggota dari Akademi Ilmu Teknik Kerajaan Swedia (1986).

Ia terdaftar sebagai peneliti yang banyak dikutip oleh ISI.^[4] Ia memegang 11 gelar doktor kehormatan dan menerima gelar doktor kehormatan dari ETH Zürich pada tanggal 17 November 2007, dan dia adalah profesor tamu di Princeton (1970), MIT (1979), ETH (1974 & 2002), dan Oxford (1982, 1998 & 2007).

Gene Golub menjabat sebagai presiden Society for Industrial and Applied Mathematics (SIAM) dari tahun 1985 hingga 1987 dan menjadi editor dan pendiri dari SIAM Journal on Scientific Computing (SISC) serta SIAM Journal on Matrix Analysis and Applications (SIMAX).

• Golub, Gene H. (1962). "Bounds for eigenvalues of tridiagonal symmetric matrices computed by the LR method". Mathematics of Computation. 16 (80): 438. doi:10.1090/S0025-5718-1962-0163430-6.
• Golub, Gene H. (1965). "Numerical methods for solving linear least squares problems". Numerische Mathematik. 7 (3): 206–216. doi:10.1007/BF01436075. hdl:10338.dmlcz/102951. S2CID 121494138.
• Golub, Gene H.; Welsch, John H. (1969). "Calculation of Gauss quadrature rules". Mathematics of Computation. 23 (106): 221. doi:10.1090/S0025-5718-69-99647-1.
• Golub, G. H.; Reinsch, C. (1971). "Singular Value Decomposition and Least Squares Solutions". Linear Algebra. hlm. 134–151. doi:10.1007/978-3-662-39778-7_10. ISBN 978-3-662-38854-9.
• Golub, Gene H. (1973). "Some Modified Matrix Eigenvalue Problems". SIAM Review. 15 (2): 318–334. doi:10.1137/1015032.
• Golub, G. H.; Pereyra, V. (1973). "The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate". SIAM Journal on Numerical Analysis. 10 (2): 413–432. Bibcode:1973SJNA...10..413G. doi:10.1137/0710036.
• Björck, Åke; Golub, Gene H. (1973). "Numerical methods for computing angles between linear subspaces". Mathematics of Computation. 27 (123): 579. doi:10.1090/S0025-5718-1973-0348991-3.
• Gill, P. E.; Golub, G. H.; Murray, W.; Saunders, M. A. (1974). "Methods for modifying matrix factorizations". Mathematics of Computation. 28 (126): 505. doi:10.1090/S0025-5718-1974-0343558-6.
• Fischer, D.; Golub, G.; Hald, O.; Leiva, C.; Widlund, O. (1974). "On Fourier-Toeplitz methods for separable elliptic problems". Mathematics of Computation. 28 (126): 349. doi:10.1090/S0025-5718-1974-0415995-2.
• Golub, Gene H.; Heath, Michael; Wahba, Grace (1979). "Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter". Technometrics. 21 (2): 215–223. doi:10.1080/00401706.1979.10489751.
• Golub, Gene H.; Van Loan, Charles F. (1980). "An Analysis of the Total Least Squares Problem". SIAM Journal on Numerical Analysis. 17 (6): 883–893. Bibcode:1980SJNA...17..883G. doi:10.1137/0717073. hdl:1813/6251.
• Boley, Daniel; Golub, Gene H. (1984). "A modified method for reconstructing periodic Jacobi matrices". Mathematics of Computation. 42 (165): 143. doi:10.1090/S0025-5718-1984-0725989-1.
• Elman, Howard C.; Golub, Gene H. (1990). "Iterative methods for cyclically reduced nonselfadjoint linear systems". Mathematics of Computation. 54 (190): 671. Bibcode:1990MaCom..54..671E. doi:10.1090/S0025-5718-1990-1011442-X.
• Fischer, Bernd; Golub, Gene H. (1991). "On generating polynomials which are orthogonal over several intervals". Mathematics of Computation. 56 (194): 711. Bibcode:1991MaCom..56..711F. doi:10.1090/S0025-5718-1991-1068818-5.
• Elman, Howard C.; Golub, Gene H. (1991). "Iterative methods for cyclically reduced nonselfadjoint linear systems. II". Mathematics of Computation. 56 (193): 215. Bibcode:1991MaCom..56..215E. doi:10.1090/S0025-5718-1991-1052093-1.
• Golub, Gene H.; Meurant, Gérard (1994). "Matrices, Moments and Quadrature". In: David F. Griffiths, G. Alistair Watson (eds.): Numerical analysis 1993. Proceedings of the 15th Dundee Conference, June–July 1993. Pitman Research Notes in Mathematics Series. vol. 303. Harlow: Longman Scientific & Technical. hlm. 105–156. ISBN 0-582-22568-X.
• Chan, Tony F.; Golub, Gene H.; Mulet, Pep (1999). "A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration". SIAM Journal on Scientific Computing. 20 (6): 1964–1977. Bibcode:1999SJSC...20.1964C. doi:10.1137/S1064827596299767.
• Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L. (2000). "Computation of Gauss-Kronrod quadrature rules". Mathematics of Computation. 69 (231): 1035–1053. Bibcode:2000MaCom..69.1035C. doi:10.1090/S0025-5718-00-01174-1.
• Kamvar, Sepandar D.; Haveliwala, Taher H.; Manning, Christopher D.; Golub, Gene H. (2003). "Extrapolation methods for accelerating Page Rank computations". Proceedings of the twelfth international conference on World Wide Web - WWW '03. hlm. 261. doi:10.1145/775152.775190. ISBN 1581136803. S2CID 5645394.
• Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K. (2003). "Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems". SIAM Journal on Matrix Analysis and Applications. 24 (3): 603–626. doi:10.1137/S0895479801395458.
• Alter, Orly; Golub, Gene H. (2004). "Integrative analysis of genome-scale data by using pseudoinverse projection predicts novel correlation between DNA replication and RNA transcription". Proceedings of the National Academy of Sciences. 101 (47): 16577–16582. Bibcode:2004PNAS..10116577A. doi:10.1073/pnas.0406767101. PMC 534520. PMID 15545604.
• Alter, Orly; Golub, Gene H. (2005). "Reconstructing the pathways of a cellular system from genome-scale signals by using matrix and tensor computations". Proceedings of the National Academy of Sciences. 102 (49): 17559–17564. Bibcode:2005PNAS..10217559A. doi:10.1073/pnas.0509033102. PMC 1308929. PMID 16314560.
• Benzi, Michele; Golub, Gene H.; Liesen, Jörg (2005). "Numerical solution of saddle point problems". Acta Numerica. 14: 1–137. Bibcode:2005AcNum..14....1B. doi:10.1017/S0962492904000212. S2CID 122717775.
• Alter, Orly; Golub, Gene H. (2006). "Singular value decomposition of genome-scale mRNA lengths distribution reveals asymmetry in RNA gel electrophoresis band broadening". Proceedings of the National Academy of Sciences. 103 (32): 11828–11833. Bibcode:2006PNAS..10311828A. doi:10.1073/pnas.0604756103. PMC 1524674. PMID 16877539.
• Omberg, Larsson; Golub, Gene H.; Alter, Orly (2007). "A tensor higher-order singular value decomposition for integrative analysis of DNA microarray data from different studies". Proceedings of the National Academy of Sciences. 104 (47): 18371–18376. Bibcode:2007PNAS..10418371O. doi:10.1073/pnas.0709146104. PMC 2147680. PMID 18003902.
• Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong (2007). "Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices". Mathematics of Computation. 76 (257): 287–299. Bibcode:2007MaCom..76..287B. doi:10.1090/S0025-5718-06-01892-8.

• 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; 4th edition 2013^[5]
• Studies in Numerical Analysis. Mathematical Association of America, 1985, 426 pages.
• with James M. Ortega: Scientific Computing and Differential Equations. An Introduction to Numerical Methods. Academic Press, Boston MA etc. 1992, ISBN 0-12-289255-0.^[6]
• with James M. Ortega: Scientific Computing: An Introduction with Parallel Computing. Academic Press, 1993; 2014 pbk reprint
• with Moody T. Chu: Inverse Eigenvalue problems. Theory, algorithms, and applications. Oxford University Press, Oxford etc. 2005, ISBN 0-19-856664-6.
• Milestones in Matrix Computation: The Selected Works of Gene H. Golub with Commentaries. Oxford University Press, 2007.^[7]
• with Gérard Meurant: Matrices, Moments and Quadrature with Applications. Princeton University Press, 2009, ISBN 1-4008-3388-4

1. ^ Moler, Cleve (2007-11-16), Gene Golub, 1932 - 2007, NA Digest, diakses tanggal 2007-11-17
2. ^ Moler, Cleve (2007-11-16), Gene Golub, 1932 - 2007, NA Digest, diakses tanggal 2007-11-17
3. ^ Chan, Raymond; Greif, Chen; O'Leary, Dianne (2007), Milestones in Matrix Computation: The selected works of Gene H. Golub with commentaries, Oxford University Press, ISBN 978-0-19-920681-0
4. ^ Thomson ISI, Golub, Gene H., ISI Highly Cited Researchers, diakses tanggal 2007-11-17
5. ^ 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.
6. ^ 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/S0273-0979-1993-00371-9.
7. ^ "Review of Milestones in Matrix Computation: The Selected Works of Gene H. Golub with Commentaries". European Mathematical Society. 1 October 2011. Diarsipkan dari asli tanggal 24 September 2021. Diakses tanggal 29 May 2021.

• Home-page nya di Stanford University Diarsipkan May 13, 2007, di Wayback Machine.