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Golub, Gene Howard

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Published as: Golub, Gene H.; Golub, G. H.; Golub, Gene; Golub, G.; Golub, Gene Howard
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Documents Indexed: 257 Publications since 1961, including 14 Books
9 Contributions as Editor
Biographic References: 5 Publications
all top 5

Co-Authors

18 single-authored
10 Van Loan, Charles Francis
9 Boley, Daniel L.
8 Bai, Zhongzhi
8 Concus, Paul
8 O’Leary, Dianne P.
7 Gander, Walter
7 Meurant, Gérard A.
7 Milanfar, Peyman
6 Calvetti, Daniela
6 Elhay, Sylvan
6 Elman, Howard C.
6 Reichel, Lothar
5 Chan, Tony Fan-Cheong
5 Chu, Moody T.
5 Greif, Chen
5 Kautsky, Jaroslav
5 Law, Kincho H.
5 Plemmons, Robert James
5 Van Dooren, Paul M.
5 von Matt, Urs
5 Zha, Hongyuan
4 Arbenz, Peter
4 Bartels, Richard Harold
4 Benzi, Michele
4 Ortega, James M.
4 Van Barel, Marc
4 Vandebril, Raf
4 Varah, James M.
4 Yuan, Jinyun
4 Zhang, Tong
3 Bai, Zhaojun
3 Bertaccini, Daniele
3 Chandrasekaran, Shivkumar
3 Fischer, Bernd
3 Funderlic, Robert E.
3 Gu, Ming
3 Hansen, Per Christian
3 LeVeque, Randall J.
3 Luk, Franklin T.
3 Nash, Stephen G.
3 Ng, Michael Kwok-Po
3 Overton, Michael L.
3 Saunders, Michael A.
3 Sayed, Ali H.
3 Serra-Capizzano, Stefano
3 Strebel, Rolf
3 Van der Vorst, Henk Albertus
3 Wathen, Andrew John
3 Wilkinson, James Hardy
3 Ye, Qiang
2 Berry, Michael W.
2 Björck, Åke
2 Buzbee, Billy L.
2 Chan, Raymond Hon-Fu
2 Chang, Xiaowen
2 Cuyt, Annie A. M.
2 Dahlquist, Germund
2 de Boor, Carl
2 De Moor, Bart L. R.
2 Elad, Michael
2 Fierro, Ricardo D.
2 Gautschi, Walter
2 Greenbaum, Anne
2 Gutknecht, Martin H.
2 Hald, Ole Hansen
2 Kågström, Bo
2 Lee, Chris P.
2 Li, Chi-Kwong
2 Liao, Li-Zhi
2 Mastronardi, Nicola
2 Mulet, Pep
2 Nguyen, Nhat Linh
2 Ram, Yitshak M.
2 Seneta, Eugene
2 Sølna, Knut
2 Stewart, Gilbert Wright
2 Tang, Wei-Pai
2 Underwood, Richard
2 Varga, Richard Steven
2 Verdonk, Brigitte M.
2 Widlund, Olof B.
2 Wu, Xiaonan
2 Zenios, Stefanos A.
2 Zhang, Zhenyue
1 Andersson, Lars-Erik
1 Baglama, James
1 Beckermann, Bernhard
1 Björk, Åke
1 Botchev, Mike A.
1 Boutry, Gregory
1 Brent, Richard Peirce
1 Businger, P. A.
1 Carey, Cheryl M. M.
1 Cecilio, W. A. G.
1 Chu, Delin
1 Cline, Alan K.
1 Comon, Pierre
1 Cottle, Richard W.
1 Cuminato, José Alberto
1 Dorr, Fred W.
...and 88 more Co-Authors
all top 5

Serials

28 SIAM Journal on Matrix Analysis and Applications
16 BIT
15 Numerische Mathematik
15 Linear Algebra and its Applications
14 SIAM Journal on Scientific Computing
13 Mathematics of Computation
11 Numerical Algorithms
8 SIAM Journal on Numerical Analysis
5 Journal of Computational and Applied Mathematics
5 SIAM Review
4 SIAM Journal on Scientific and Statistical Computing
3 Systems & Control Letters
3 Communications of the ACM
3 Numerical Linear Algebra with Applications
2 Bulletin of the Australian Mathematical Society
2 IMA Journal of Numerical Analysis
2 Inverse Problems
2 Calcolo
2 Journal of Econometrics
2 Bulletin of the Belgian Mathematical Society - Simon Stevin
2 IEEE Transactions on Image Processing
2 Internet Mathematics
2 Acta Numerica
2 Johns Hopkins Series in the Mathematical Sciences
1 The American Statistician
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal for Numerical Methods in Fluids
1 Journal of Computational Physics
1 Journal of Mathematical Analysis and Applications
1 Rocky Mountain Journal of Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 ACM Transactions on Mathematical Software
1 Aplikace Matematiky
1 Applied Mathematics and Optimization
1 Computing
1 IEEE Transactions on Automatic Control
1 IEEE Transactions on Computers
1 International Journal for Numerical Methods in Engineering
1 Journal of the American Statistical Association
1 Technometrics
1 SIAM Journal on Algebraic and Discrete Methods
1 Applied Numerical Mathematics
1 IEEE Transactions on Signal Processing
1 IEEE Transactions on Circuits and Systems. II: Analog and Digital Signal Processing
1 Journal of Statistical Computation and Simulation
1 Mitteilungen der Mathematischen Gesellschaft in Hamburg
1 ETNA. Electronic Transactions on Numerical Analysis
1 Annals of Numerical Mathematics
1 Journal of the Society for Industrial & Applied Mathematics
1 BIT. Nordisk Tidskrift for Informationsbehandling
1 Berliner Studienreihe zur Mathematik
1 The IMA Volumes in Mathematics and its Applications
1 ISNM. International Series of Numerical Mathematics
1 MAA Studies in Mathematics
1 NATO ASI Series. Series F. Computer and Systems Sciences
1 Proceedings of Symposia in Applied Mathematics
1 Texts and Readings in Mathematics
1 Annals of Mathematical Statistics
1 Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis
1 Numerical Mathematics and Scientific Computation
1 Princeton Series in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

235 Publications have been cited 16,143 times in 11,359 Documents Cited by Year
Matrix computations. 3rd ed. Zbl 0865.65009
Golub, Gene; Van Loan, Charles F.
1996
Matrix computations. 2nd ed. Zbl 0733.65016
Golub, Gene H.; Van Loan, Charles F.
1989
Matrix computations. Zbl 0559.65011
Golub, Gene H.; Van Loan, Charles F.
845
1983
Numerical solution of saddle point problems. Zbl 1115.65034
Benzi, Michele; Golub, Gene H.; Liesen, Jörg
820
2005
Matrix computations. 4th ed. Zbl 1268.65037
Golub, Gene H.; Van Loan, Charles F.
750
2013
Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1036.65032
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
559
2003
Generalized cross-validation as a method for choosing a good ridge parameter. Zbl 0461.62059
Golub, Gene H.; Heath, Michael; Wahba, Grace
357
1979
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems. Zbl 1056.65025
Bai, Zhongzhi; Golub, Gene H.; Pan, Jianyu
319
2004
Calculation of Gauss quadrature rules. Zbl 0179.21901
Golub, Gene H.; Welsch, John H.
310
1969
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
Bai, Zhongzhi; Golub, Gene H.
249
2007
Calculating the singular values and pseudo-inverse of a matrix. Zbl 0194.18201
Golub, G.; Kahan, W.
231
1965
A preconditioner for generalized saddle point problems. Zbl 1082.65034
Benzi, Michele; Golub, Gene H.
227
2004
A Hessenberg-Schur method for the problem AX+XB=C. Zbl 0421.65022
Golub, Gene H.; Nash, S.; Van Loan, Charles F.
227
1979
Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041
Elman, Howard C.; Golub, Gene H.
216
1994
A note on preconditioning for indefinite linear systems. Zbl 0959.65063
Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J.
197
2000
On direct methods for solving Poisson’s equations. Zbl 0217.52902
Buzbee, B. L.; Golub, G. H.; Nielson, C. W.
197
1970
Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028
Bai, Zhong-Zhi; Golub, Gene H.; Lu, Lin-Zhang; Yin, Jun-Feng
192
2005
A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118
Chan, Tony F.; Golub, Gene H.; Mulet, Pep
173
1999
The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045
Golub, G. H.; Pereyra, V.
164
1973
Some modified matrix eigenvalue problems. Zbl 0254.65027
Golub, Gene H.
162
1973
An analysis of the total least squares problem. Zbl 0468.65011
Golub, Gene H.; Van Loan, Charles F.
158
1980
Singular value decomposition and least squares solutions. Zbl 0181.17602
Golub, G. H.; Reinsch, C.
149
1970
SOR-like methods for augmented systems. Zbl 0991.65036
Golub, Gene H.; Wu, X.; Yuan, Jin-Yun
148
2001
Symmetric tensors and symmetric tensor rank. Zbl 1181.15014
Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard
140
2008
Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices. Zbl 1114.65034
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
128
2007
Rank-one approximation to high order tensors. Zbl 1001.65036
Zhang, Tong; Golub, Gene H.
126
2001
Numerical methods for solving linear least squares problems. Zbl 0142.11502
Golub, G.
125
1965
On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1135.65016
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
118
2008
Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II. Zbl 0099.10903
Golub, Gene H.; Varga, Richard S.
118
1961
Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. Zbl 1116.65039
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
117
2006
Methods for modifying matrix factorizations. Zbl 0289.65021
Gill, P. E.; Golub, G. H.; Murray, W.; Saunders, M. A.
115
1974
On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1199.65097
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
107
2007
Handbook series linear algebra. Linear least squares solutions by Householder transformations. Zbl 0142.11503
Businger, P.; Golub, G. H.
97
1965
Numerical methods for computing angles between linear subspaces. Zbl 0282.65031
Björck, Åke; Golub, Gene H.
96
1973
Block preconditioning for the conjugate gradient method. Zbl 0556.65022
Concus, P.; Golub, G. H.; Meurant, G.
94
1985
A survey of matrix inverse eigenvalue problems. Zbl 0633.65036
Boley, Daniel; Golub, Gene H.
91
1987
Inverse eigenvalue problems: theory, algorithms, and applications. Zbl 1075.65058
Chu, Moody T.; Golub, Gene H.
85
2005
The direct solution of the discrete Poisson equation on irregular regions. Zbl 0231.65083
Buzbee, B. L.; Dorr, F. W.; George, J. A.; Golub, G. H.
80
1971
Matrices, moments and quadrature with applications. Zbl 1217.65056
Golub, Gene H.; Meurant, Gérard
79
2010
Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014
Golub, Gene; Pereyra, Victor
78
2003
Tikhonov regularization and total least squares. Zbl 0945.65042
Golub, Gene H.; Hansen, Per Christian; O’Leary, Dianne P.
77
1999
Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method. Zbl 0385.65048
Concus, P.; Golub, G. H.; O’Leary, D. P.
76
1978
Structured inverse eigenvalue problems. Zbl 1105.65326
Chu, Moody T.; Golub, Gene H.
76
2002
On solving block-structured indefinite linear systems. Zbl 1036.65033
Golub, Gene H.; Greif, Chen
69
2003
The numerically stable reconstruction of a Jacobi matrix from spectral data. Zbl 0388.15010
de Boor, C.; Golub, G. H.
69
1978
Ill-conditioned eigensystems and the computation of the Jordan canonical form. Zbl 0341.65027
Golub, G. H.; Wilkinson, J. H.
63
1976
Matrices, moments and quadrature. Zbl 0795.65019
Golub, G. H.; Meurant, Gerard
62
1994
Least-squares fitting of circles and ellipses. Zbl 0817.65008
Gander, Walter; Golub, Gene H.; Strebel, Rolf
58
1994
Iterative solution of linear systems. Zbl 0762.65019
Freund, Roland W.; Golub, Gene H.; Nachtigal, Noël M.
56
1992
Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015
Benzi, Michele; Gander, Martin J.; Golub, Gene H.
55
2003
Matrix computations. 3rd ed. Zbl 1118.65316
Golub, Gene; Van Loan, Charles F.
55
2007
An iteration for indefinite systems and its application to the Navier-Stokes equations. Zbl 0912.76053
Golub, Gene H.; Wathen, Andrew J.
53
1998
The Block Lanczos method for computing eigenvalues. Zbl 0407.68040
Golub, G. H.; Underwood, R.
50
1977
Scientific computing. An introduction with parallel computing. Zbl 0790.65001
Golub, Gene; Ortega, James M.
48
1993
Quadratically constrained least squares and quadratic problems. Zbl 0745.65029
Golub, Gene H.; von Matt, Urs
47
1991
The simplex method of linear programming using LU decomposition. Zbl 0181.19104
Bartels, R. H.; Golub, G. H.
46
1969
Adaptive methods for the computation of PageRank. Zbl 1091.68044
Kamvar, Sepandar; Haveliwala, Taher; Golub, Gene
45
2004
Some large-scale matrix computation problems. Zbl 0870.65035
Bai, Zhaojun; Fahey, Mark; Golub, Gene
43
1996
A stable numerical method for inverting shape from moments. Zbl 0956.65030
Golub, Gene H.; Milanfar, Peyman; Varah, James
42
2000
Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation. Zbl 1068.65041
Bertaccini, Daniele; Golub, Gene H.; Serra Capizzano, Stefano; Tablino Possio, Cristina
42
2005
Matrices, moments and quadrature. II: How to compute the norm of the error iterative methods. Zbl 0888.65050
Golub, G. H.; Meurant, G.
41
1997
Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044
Calvetti, D.; Golub, G. H.; Reichel, L.
41
1999
An inverse free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems. Zbl 1016.65017
Golub, Gene H.; Ye, Qiang
40
2002
Some history of the conjugate gradient and Lanczos algorithms: 1948-1976. Zbl 0673.65017
Golub, Gene H.; O’Leary, Dianne P.
40
1989
A constrained eigenvalue problem. Zbl 0666.15006
Gander, Walter; Golub, Gene H.; von Matt, Urs
39
1989
A generalization of the Eckart-Young-Mirsky matrix approximation theorem. Zbl 0623.15020
Golub, G. H.; Hoffman, Alan; Stewart, G. W.
39
1987
An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034
Golub, G. H.; Greif, C.
38
2006
Scientific computing and differential equations: an introduction to numerical methods. Rev. ed. Zbl 0749.65041
Golub, Gene H.; Ortega, James M.
38
1992
Calculation of Gauss quadratures with multiple free and fixed knots. Zbl 0525.65010
Golub, G. H.; Kautsky, J.
38
1983
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
37
1999
A block Lanczos method for computing the singular values and corresponding singular vectors of a matrix. Zbl 0466.65022
Golub, Gene H.; Luk, Franklin T.; Overton, Michael L.
36
1981
Computation of Gauss-Kronrod quadrature rules. Zbl 0947.65022
Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L.
36
2000
Inexact preconditioned conjugate gradient method with inner-outer iteration. Zbl 0955.65022
Golub, Gene H.; Ye, Qiang
34
2000
Iterative methods for cyclically reduced non-self-adjoint linear systems. Zbl 0699.65021
Elman, Howard C.; Golub, Gene H.
33
1990
Adaptively preconditioned GMRES algorithms. Zbl 0954.65026
Baglama, J.; Calvetti, D.; Golub, G. H.; Reichel, L.
33
1999
On the solution of large, structured linear complementarity problems: the block partitioned case. Zbl 0391.90087
Cottle, Richard W.; Golub, Gene H.; Sacher, Richard S.
33
1978
Imposing curvature restrictions on flexible functional forms. Zbl 0573.62098
Gallant, A. Ronald; Golub, Gene H.
33
1984
On the calculation of Jacobi matrices. Zbl 0512.65030
Kautsky, J.; Golub, G. H.
33
1983
Eigenvalue computation in the 20th century. Zbl 0965.65057
Golub, Gene H.; van der Vorst, Henk A.
32
2000
Use of fast direct methods for the efficient numerical solution of nonseparable elliptic equations. Zbl 0245.65043
Concus, Paul; Golub, Gene H.
32
1973
Note on the iterative refinement of least squares solution. Zbl 0156.16106
Golub, G. H.; Wilkinson, J. H.
30
1966
The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems. Zbl 0661.65033
Golub, Gene H.; Overton, Michael L.
30
1988
On Fourier-Toeplitz methods for separable elliptic problems. Zbl 0277.65065
Fischer, D.; Golub, G.; Hald, O.; Leiva, C.; Widlund, O.
28
1974
The restricted singular value decomposition: Properties and applications. Zbl 0738.15006
De Moor, Bart L. R.; Golub, Gene H.
27
1991
A rank-one reduction formula and its applications to matrix factorizations. Zbl 0844.65033
Chu, Moody T.; Funderlic, Robert E.; Golub, Gene H.
27
1995
Perturbation analysis of the canonical correlations of matrix pairs. Zbl 0811.15011
Golub, Gene H.; Zha, Hongyuan
27
1994
A class of nonsymmetric preconditioners for saddle point problems. Zbl 1104.65038
Botchev, Mike A.; Golub, Gene H.
26
2006
Matrix computations. Paperback ed., 4th printing. Zbl 0592.65011
Golub, Gene H.; Van Loan, Charles F.
26
1985
Using the QR factorization and group inversion to compute, differentiate, and estimate the sensitivity of stationary probabilities for Markov chains. Zbl 0594.60072
Golub, Gene H.; Meyer, Carl D. jun.
26
1986
A generalized conjugate gradient method for nonsymmetric systems of linear equations. Zbl 0344.65020
Concus, Paul; Golub, Gene H.
25
1976
Estimates in quadratic formulas. Zbl 0822.65022
Golub, Gene H.; Strakoš, Zdeněk
25
1994
Symmetric-triangular decomposition and its applications. II: Preconditioners for indefinite systems. Zbl 1151.65027
Wu, Xiaonan; Golub, Gene H.; Cuminato, José A.; Yuan, Jin Yun
24
2008
Regularization by truncated total least squares. Zbl 0891.65040
Fierro, R. D.; Golub, G. H.; Hansen, P. C.; O’Leary, D. P.
24
1997
On the spectral decomposition of Hermitian matrices modified by low rank perturbations with applications. Zbl 0646.65033
Arbenz, Peter; Golub, Gene H.
23
1988
First international symposium on domain decomposition methods for partial differential equations (Proceedings, Paris, France, January 7-9, 1987). Zbl 0649.00019
22
1988
Inexact inverse iteration for generalized eigenvalue problems. Zbl 0984.65032
Golub, Gene H.; Ye, Qiang
22
2000
Tikhonov regularization for large scale problems. Zbl 0927.65058
Golub, Gene H.; von Matt, Urs
22
1998
Numerical techniques in mathematical programming. Zbl 0228.90030
Bartels, R. H.; Golub, G. H.; Saunders, M. A.
22
1970
On the preconditioning of matrices with skew-symmetric splittings. Zbl 0983.65041
Golub, Gene H.; Vanderstraeten, Denis
21
2000
Generalized cross-validation for large scale problems. Zbl 0878.65032
Golub, Gene H.; von Matt, Urs
21
1997
Matrix computations. 4th ed. Zbl 1268.65037
Golub, Gene H.; Van Loan, Charles F.
750
2013
Matrices, moments and quadrature with applications. Zbl 1217.65056
Golub, Gene H.; Meurant, Gérard
79
2010
Solving ellipsoid-constrained integer least squares problems. Zbl 1195.65049
Chang, Xiao-Wen; Golub, Gene H.
2
2010
The QR algorithm: 50 years later its genesis by John Francis and Vera Kublanovskaya and subsequent developments. Zbl 1169.65032
Golub, Gene; Uhlig, Frank
5
2009
A quasi-separable approach to solve the symmetric definite tridiagonal generalized eigenvalue problem. Zbl 1186.65046
Vandebril, Raf; Golub, Gene; van Barel, Marc
1
2009
Symmetric tensors and symmetric tensor rank. Zbl 1181.15014
Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard
140
2008
On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1135.65016
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
118
2008
Symmetric-triangular decomposition and its applications. II: Preconditioners for indefinite systems. Zbl 1151.65027
Wu, Xiaonan; Golub, Gene H.; Cuminato, José A.; Yuan, Jin Yun
24
2008
Continuous methods for symmetric generalized eigenvalue problems. Zbl 1140.65029
Gao, Xing-Bao; Golub, Gene H.; Liao, Li-Zhi
9
2008
Approximation of the scattering amplitude and linear systems. Zbl 1188.65032
Golub, Gene H.; Stoll, Martin; Wathen, Andy
6
2008
Towards a backward perturbation analysis for data least squares problems. Zbl 1176.65047
Chang, X.-W.; Golub, G. H.; Paige, C. C.
2
2008
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
Bai, Zhongzhi; Golub, Gene H.
249
2007
Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices. Zbl 1114.65034
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
128
2007
On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1199.65097
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
107
2007
Matrix computations. 3rd ed. Zbl 1118.65316
Golub, Gene; Van Loan, Charles F.
55
2007
Spectral analysis of a preconditioned iterative method for the convection-diffusion equation. Zbl 1140.65024
Bertaccini, Daniele; Golub, Gene H.; Serra-Capizzano, Stefano
11
2007
On the numerical condition of a generalized Hankel eigenvalue problem. Zbl 1121.65036
Beckermann, B.; Golub, G. H.; Labahn, G.
11
2007
A hybrid approach combining Chebyshev filter and conjugate gradient for solving linear systems with multiple right-hand sides. Zbl 1151.65319
Golub, Gene H.; Ruiz, Daniel; Touhami, Ahmed
7
2007
A two-stage algorithm for computing pagerank and multistage generalizations. Zbl 1206.68050
Lee, Chris P.; Golub, Gene H.; Zenios, Stefanos A.
2
2007
A two-stage algorithm for computing PageRank and multistage generalizations. Zbl 1221.68041
Lee, Chris P.; Golub, Gene H.; Zenios, Stefanos A.
2
2007
Milestones in matrix computation. The selected works of Gene H. Golub. With commentaries by Anne Greenbaum, Åke Björk, Nicholas Higham, Walter Gautschi and G. W. Stewart. Edited by Raymond H. Chan, Chen Greif, and Dianne P. O’Leary. Zbl 1121.65031
Golub, Gene H.
1
2007
Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. Zbl 1116.65039
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
117
2006
An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034
Golub, G. H.; Greif, C.
38
2006
A class of nonsymmetric preconditioners for saddle point problems. Zbl 1104.65038
Botchev, Mike A.; Golub, Gene H.
26
2006
An algebraic analysis of a block diagonal preconditioner for saddle point systems. Zbl 1105.65048
Golub, Gene H.; Greif, Chen; Varah, James M.
14
2006
Continuous methods for extreme and interior eigenvalue problems. Zbl 1092.65029
Golub, Gene H.; Liao, Li-Zhi
12
2006
On a generalized eigenvalue problem for nonsquare pencils. Zbl 1128.15004
Chu, Delin; Golub, Gene H.
8
2006
Some observations on local least squares. Zbl 1103.65041
Bartels, R. H.; Golub, G. H.; Samavati, F. F.
1
2006
Numerical solution of saddle point problems. Zbl 1115.65034
Benzi, Michele; Golub, Gene H.; Liesen, Jörg
820
2005
Block triangular and skew-Hermitian splitting methods for positive-definite linear systems. Zbl 1079.65028
Bai, Zhong-Zhi; Golub, Gene H.; Lu, Lin-Zhang; Yin, Jun-Feng
192
2005
Inverse eigenvalue problems: theory, algorithms, and applications. Zbl 1075.65058
Chu, Moody T.; Golub, Gene H.
85
2005
Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation. Zbl 1068.65041
Bertaccini, Daniele; Golub, Gene H.; Serra Capizzano, Stefano; Tablino Possio, Cristina
42
2005
A bibliography on semiseparable matrices. Zbl 1168.15312
Vandebril, R.; Van Barel, M.; Golub, G.; Mastronardi, N.
21
2005
The generalized eigenvalue problem for nonsquare pencils using a minimal perturbation approach. Zbl 1100.65035
Boutry, Gregory; Elad, Michael; Golub, Gene H.; Milanfar, Peyman
13
2005
How to deduce a proper eigenvalue cluster from a proper singular value cluster in the nonnormal case. Zbl 1088.65031
Serra-Capizzano, Stefano; Bertaccini, Daniele; Golub, Gene H.
10
2005
Multidimensional integral inversion, with applications in shape reconstruction. Zbl 1099.65128
Cuyt, Annie; Golub, Gene; Milanfar, Peyman; Verdonk, Brigitte
9
2005
A bibliography on semiseparable matrices. Zbl 1168.15306
Van Barel, Marc; Vandebril, Raf; Golub, G.; Mastronardi, Nicola
5
2005
A subspace approximation method for the quadratic eigenvalue problem. Zbl 1079.65039
Holz, U. B.; Golub, G. H.; Law, K. H.
4
2005
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems. Zbl 1056.65025
Bai, Zhongzhi; Golub, Gene H.; Pan, Jianyu
319
2004
A preconditioner for generalized saddle point problems. Zbl 1082.65034
Benzi, Michele; Golub, Gene H.
227
2004
Adaptive methods for the computation of PageRank. Zbl 1091.68044
Kamvar, Sepandar; Haveliwala, Taher; Golub, Gene
45
2004
Regularized total least squares based on quadratic eigenvalue problem solvers. Zbl 1079.65048
Sima, Diana M.; Van Huffel, Sabine; Golub, Gene H.
20
2004
Shape from moments – an estimation theory perspective. Zbl 1369.62145
Elad, Michael; Milanfar, Peyman; Golub, Gene H.
12
2004
Semi-conjugate direction methods for real positive definite systems. Zbl 1052.65026
Yuan, J. Y.; Golub, G. H.; Plemmons, R. J.; Cecilio, W. A. G.
8
2004
Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1036.65032
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
559
2003
Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014
Golub, Gene; Pereyra, Victor
78
2003
On solving block-structured indefinite linear systems. Zbl 1036.65033
Golub, Gene H.; Greif, Chen
69
2003
Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015
Benzi, Michele; Gander, Martin J.; Golub, Gene H.
55
2003
Scaling by binormalization. Zbl 1050.65049
Livne, Oren E.; Golub, Gene H.
6
2003
The spectrum of a modified linear pencil. Zbl 1054.65033
Elhay, S.; Golub, G. H.; Ram, Y. M.
2
2003
Structured inverse eigenvalue problems. Zbl 1105.65326
Chu, Moody T.; Golub, Gene H.
76
2002
An inverse free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems. Zbl 1016.65017
Golub, Gene H.; Ye, Qiang
40
2002
Symmetric-triangular decomposition and its applications. I: Theorems and algorithms. Zbl 1017.65020
Golub, Gene H.; Yuan, Jin-Yun
13
2002
Block orderings for tensor-product grids in two and three dimensions. Zbl 1002.65041
Golub, Gene H.; Greif, Chen; Varah, James M.
4
2002
SOR-like methods for augmented systems. Zbl 0991.65036
Golub, Gene H.; Wu, X.; Yuan, Jin-Yun
148
2001
Rank-one approximation to high order tensors. Zbl 1001.65036
Zhang, Tong; Golub, Gene H.
126
2001
From numerical analysis to computational science. Zbl 1047.65504
Engquist, Björn; Golub, Gene
16
2001
Efficient generalized cross-validation with applications to parametric image restoration and resolution enhancement. Zbl 1037.68784
Nguyen, Nhat; Milanfar, Peyman; Golub, Gene
14
2001
A computationally efficient superresolution image reconstruction algorithm. Zbl 1040.68567
Nguyen, Nhat; Milanfar, Peyman; Golub, Gene
11
2001
A parallel balance scheme for banded linear systems. Zbl 1055.65044
Golub, Gene H.; Sameh, Ahmed H.; Sarin, Vivek
5
2001
A note on preconditioning for indefinite linear systems. Zbl 0959.65063
Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J.
197
2000
A stable numerical method for inverting shape from moments. Zbl 0956.65030
Golub, Gene H.; Milanfar, Peyman; Varah, James
42
2000
Computation of Gauss-Kronrod quadrature rules. Zbl 0947.65022
Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L.
36
2000
Inexact preconditioned conjugate gradient method with inner-outer iteration. Zbl 0955.65022
Golub, Gene H.; Ye, Qiang
34
2000
Eigenvalue computation in the 20th century. Zbl 0965.65057
Golub, Gene H.; van der Vorst, Henk A.
32
2000
Inexact inverse iteration for generalized eigenvalue problems. Zbl 0984.65032
Golub, Gene H.; Ye, Qiang
22
2000
On the preconditioning of matrices with skew-symmetric splittings. Zbl 0983.65041
Golub, Gene H.; Vanderstraeten, Denis
21
2000
Large sparse symmetric eigenvalue problems with homogeneous linear constraints: The Lanczos process with inner-outer iterations. Zbl 0948.65033
Golub, Gene H.; Zhang, Zhenyue; Zha, Hongyuan
14
2000
Computing the SVD of a general matrix product/quotient. Zbl 0969.65032
Golub, Gene; Sølna, Knut; Van Dooren, Paul
9
2000
A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118
Chan, Tony F.; Golub, Gene H.; Mulet, Pep
173
1999
Tikhonov regularization and total least squares. Zbl 0945.65042
Golub, Gene H.; Hansen, Per Christian; O’Leary, Dianne P.
77
1999
Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044
Calvetti, D.; Golub, G. H.; Reichel, L.
41
1999
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
37
1999
Adaptively preconditioned GMRES algorithms. Zbl 0954.65026
Baglama, J.; Calvetti, D.; Golub, G. H.; Reichel, L.
33
1999
On some eigenvector-eigenvalue relations. Zbl 0929.15008
Elhay, S.; Gladwell, G. M. L.; Golub, G. H.; Ram, Y. M.
10
1999
An efficient algorithm for a bounded errors-in-variables model. Zbl 0957.65070
Chandrasekaran, S.; Golub, G. H.; Gu, M.; Sayed, A. H.
8
1999
Subspace iterative methods for eigenvalue problems. Zbl 0932.65044
Zhang, T.; Golub, G. H.; Law, K. H.
2
1999
Applications and computation of orthogonal polynomials. Conference at the Mathematical Research Institute Oberwolfach, Germany, March 22–29, 1998. Dedicated to the memory of Günther Hämmerlin. Zbl 0919.00065
1
1999
A computable error bound for matrix functionals. Zbl 0937.65054
Calvetti, D.; Golub, G. H.; Reichel, L.
1
1999
An iteration for indefinite systems and its application to the Navier-Stokes equations. Zbl 0912.76053
Golub, Gene H.; Wathen, Andrew J.
53
1998
Tikhonov regularization for large scale problems. Zbl 0927.65058
Golub, Gene H.; von Matt, Urs
22
1998
Solution of biharmonic equations with application to radar imaging. Zbl 0933.65128
Andersson, Lars-Erik; Elfving, Tommy; Golub, Gene H.
16
1998
Parameter estimation in the presence of bounded data uncertainties. Zbl 0914.65147
Chandrasekaran, S.; Golub, G. H.; Gu, M.; Sayed, A. H.
15
1998
A fast Poisson solver for the finite difference solution of the incompressible Navier-Stokes equations. Zbl 0957.76053
Golub, Gene H.; Huang, Lan Chieh; Simon, Horst; Tang, Wei-Pai
10
1998
Rank modifications of semidefinite matrices associated with a secant update formula. Zbl 0922.65031
Chu, Moody T.; Funderlic, R. E.; Golub, Gene H.
9
1998
On the homotopy method for perturbed symmetric generalized eigenvalue problems. Zbl 0917.65035
Zhang, T.; Law, K. H.; Golub, G. H.
8
1998
Inner and outer iterations for the Chebyshev algorithm. Zbl 0911.65024
Giladi, Eldar; Golub, Gene H.; Keller, Joseph B.
6
1998
Cyclic reduction – history and applications. Zbl 0921.65023
Gander, Walter; Golub, Gene H.
3
1998
Scientific computing, WSC ’97. Proceedings of the workshop held in Hong Kong, March 10–12, 1997. Zbl 0910.00057
2
1998
Efficient solution of the Jacobian system in Newton’s method close to a root. Zbl 0921.65039
Drexler, Michael; Golub, Gene H.
1
1998
Eigenvalue perturbation and generalized Krylov subspace method. Zbl 0931.65039
Zhang, T.; Golub, G. H.; Law, K. H.
1
1998
Matrices, moments and quadrature. II: How to compute the norm of the error iterative methods. Zbl 0888.65050
Golub, G. H.; Meurant, G.
41
1997
Regularization by truncated total least squares. Zbl 0891.65040
Fierro, R. D.; Golub, G. H.; Hansen, P. C.; O’Leary, D. P.
24
1997
Generalized cross-validation for large scale problems. Zbl 0878.65032
Golub, Gene H.; von Matt, Urs
21
1997
Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices. Zbl 0883.15013
Bai, Zhaojun; Golub, Gene H.
15
1997
On a variational formulation of the generalized singular value decomposition. Zbl 0891.65038
Chu, Moody T.; Funderlic, Robert. E.; Golub, Gene H.
12
1997
Closer to the solution: Iterative linear solvers. Zbl 0881.65025
Golub, Gene H.; van der Vorst, Henk A.
10
1997
150 years old and still alive: Eigenproblems. Zbl 0881.65026
van der Vorst, Henk A.; Golub, Gene H.
10
1997
Efficient algorithms for least squares type problems with bounded uncertainties. Zbl 0892.62038
Chandrasekaran, Shivkumar; Golub, Gene H.; Gu, Ming; Sayed, Ali H.
1
1997
Matrix computations. 3rd ed. Zbl 0865.65009
Golub, Gene; Van Loan, Charles F.
1996
...and 135 more Documents
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Cited by 13,550 Authors

120 Reichel, Lothar
96 Wei, Yimin
67 Bai, Zhongzhi
66 Huang, Ting-Zhu
63 Golub, Gene Howard
63 Pan, Victor Yakovlevich
62 Ma, Changfeng
61 Zhang, Guofeng
56 Jódar Sanchez, Lucas Antonio
47 Benner, Peter
42 Evans, David John
40 Serra-Capizzano, Stefano
39 Khojasteh Salkuyeh, Davod
38 Ng, Michael Kwok-Po
37 Van Barel, Marc
36 Axelsson, Axel Owe Holger
36 Dehghan Takht Fooladi, Mehdi
35 Liang, Zhaozheng
35 Simoncini, Valeria
34 Benzi, Michele
34 Mehrmann, Volker
33 Cao, Yang
32 Van Dooren, Paul M.
32 Van Huffel, Sabine
31 Lin, Wen-Wei
30 Jbilou, Khalide
30 Wu, Shiliang
29 Milovanović, Gradimir V.
29 Wu, Yujiang
28 Chen, Guoliang
28 Jia, Zhongxiao
28 Qi, Liqun
27 Li, Cuixia
27 Wei, Musheng
26 Li, Rencang
26 Yang, Aili
25 Jin, Xiaoqing
24 Martínez, José Mario
24 Saad, Yousef
24 Stoll, Martin
23 Calvetti, Daniela
23 Dai, Hua
23 Huang, Zhengge
23 Lu, Linzhang
23 Mastronardi, Nicola
23 Sadok, Hassane
22 Bini, Dario Andrea
22 Gu, Chuanqing
22 Hu, Xiyan
22 Kressner, Daniel
22 Lin, Yiqin
22 Nakatsukasa, Yuji
22 Vandebril, Raf
22 Wu, Gang
21 Li, Wen
21 Mitrouli, Marilena
21 Sadkane, Miloud
20 Cui, Jingjing
20 Gemignani, Luca
20 Nagy, James Gerard
20 Rojo, Oscar L.
20 Wathen, Andrew John
20 Zheng, Bing
19 Gondzio, Jacek
19 Hajarian, Masoud
19 Hansen, Per Christian
19 Higham, Nicholas J.
19 O’Leary, Dianne P.
19 Plemmons, Robert James
19 Rodriguez, Giuseppe
19 Toutounian, Faezeh
19 Xiang, Hua
19 Xu, Zhong
19 Zhang, Lei
18 Bai, Zhaojun
18 Chen, Fang
18 Gautschi, Walter
18 Hadjidimos, Apostolos
18 Verhaegen, Michel
18 Ye, Qiang
17 Bai, Zhengjian
17 Ballico, Edoardo
17 Barlow, Jesse L.
17 Chu, Delin
17 De Moor, Bart L. R.
17 King-wah Chu, Eric
17 Spalević, Miodrag M.
17 Wu, Qingbiao
17 Zha, Hongyuan
17 Zhang, Jun
16 Brezinski, Claude
16 Cao, Zhihao
16 Chan, Raymond Hon-Fu
16 Chien, Cheng-Sheng
16 Chu, Moody T.
16 Fan, Hongtao
16 Meurant, Gérard A.
16 Niu, Qiang
16 Pearson, John W.
16 Vuik, Cornelis
...and 13,450 more Authors
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Cited in 703 Serials

1,008 Linear Algebra and its Applications
768 Journal of Computational and Applied Mathematics
515 Applied Mathematics and Computation
371 Computers & Mathematics with Applications
340 Journal of Computational Physics
328 Numerical Algorithms
280 Numerische Mathematik
260 Computer Methods in Applied Mechanics and Engineering
250 Applied Numerical Mathematics
239 BIT
237 SIAM Journal on Scientific Computing
204 Mathematics of Computation
194 SIAM Journal on Matrix Analysis and Applications
192 Numerical Linear Algebra with Applications
171 International Journal of Computer Mathematics
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120 Journal of Scientific Computing
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58 Systems & Control Letters
58 Advances in Computational Mathematics
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55 Journal of Econometrics
54 Journal of Mathematical Analysis and Applications
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50 Computer Physics Communications
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40 Circuits, Systems, and Signal Processing
40 SIAM Journal on Optimization
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37 Theoretical Computer Science
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36 East Asian Journal on Applied Mathematics
35 Inverse Problems
35 Japan Journal of Industrial and Applied Mathematics
34 Computational Mechanics
34 SIAM Journal on Imaging Sciences
33 Journal of Multivariate Analysis
33 European Journal of Operational Research
32 The Annals of Statistics
31 Numerical Functional Analysis and Optimization
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19 Physica D
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