×
Compute Distance To:
Author ID: golub.gene-h Recent zbMATH articles by "Golub, Gene Howard"
Published as: Golub, Gene H.; Golub, G. H.; Golub, Gene; Golub, G.
External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 257 Publications since 1961, including 14 Books
9 Contributions as Editor
Biographic References: 5 Publications
Co-Authors: 185 Co-Authors with 243 Joint Publications
5,517 Co-Co-Authors
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 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.
1 Drexler, Michael
...and 87 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 Collection de la Direction des Études et Recherches d’Électricité de France
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 16,759 times in 11,760 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
Numerical solution of saddle point problems. Zbl 1115.65034
Benzi, Michele; Golub, Gene H.; Liesen, Jörg
861
2005
Matrix computations. Zbl 0559.65011
Golub, Gene H.; Van Loan, Charles F.
856
1983
Matrix computations. 4th ed. Zbl 1268.65037
Golub, Gene H.; Van Loan, Charles F.
832
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.
592
2003
Generalized cross-validation as a method for choosing a good ridge parameter. Zbl 0461.62059
Golub, Gene H.; Heath, Michael; Wahba, Grace
386
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
336
2004
Calculation of Gauss quadrature rules. Zbl 0179.21901
Golub, Gene H.; Welsch, John H.
323
1969
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems. Zbl 1134.65022
Bai, Zhongzhi; Golub, Gene H.
264
2007
A preconditioner for generalized saddle point problems. Zbl 1082.65034
Benzi, Michele; Golub, Gene H.
240
2004
A Hessenberg-Schur method for the problem AX+XB=C. Zbl 0421.65022
Golub, Gene H.; Nash, S.; Van Loan, Charles F.
238
1979
Calculating the singular values and pseudo-inverse of a matrix. Zbl 0194.18201
Golub, G.; Kahan, W.
238
1965
Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041
Elman, Howard C.; Golub, Gene H.
227
1994
A note on preconditioning for indefinite linear systems. Zbl 0959.65063
Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J.
205
2000
On direct methods for solving Poisson’s equations. Zbl 0217.52902
Buzbee, B. L.; Golub, G. H.; Nielson, C. W.
203
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
202
2005
A nonlinear primal-dual method for total variation-based image restoration. Zbl 0929.68118
Chan, Tony F.; Golub, Gene H.; Mulet, Pep
179
1999
The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045
Golub, G. H.; Pereyra, V.
167
1973
An analysis of the total least squares problem. Zbl 0468.65011
Golub, Gene H.; Van Loan, Charles F.
165
1980
Some modified matrix eigenvalue problems. Zbl 0254.65027
Golub, Gene H.
165
1973
SOR-like methods for augmented systems. Zbl 0991.65036
Golub, Gene H.; Wu, X.; Yuan, Jin-Yun
160
2001
Singular value decomposition and least squares solutions. Zbl 0181.17602
Golub, G. H.; Reinsch, C.
152
1970
Symmetric tensors and symmetric tensor rank. Zbl 1181.15014
Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard
147
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
135
2007
Rank-one approximation to high order tensors. Zbl 1001.65036
Zhang, Tong; Golub, Gene H.
131
2001
Numerical methods for solving linear least squares problems. Zbl 0142.11502
Golub, G.
128
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.
126
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.
123
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
120
2006
Methods for modifying matrix factorizations. Zbl 0289.65021
Gill, P. E.; Golub, G. H.; Murray, W.; Saunders, M. A.
119
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.
115
2007
Handbook series linear algebra. Linear least squares solutions by Householder transformations. Zbl 0142.11503
Businger, P.; Golub, G. H.
101
1965
Numerical methods for computing angles between linear subspaces. Zbl 0282.65031
Björck, Åke; Golub, Gene H.
98
1973
A survey of matrix inverse eigenvalue problems. Zbl 0633.65036
Boley, Daniel; Golub, Gene H.
97
1987
Block preconditioning for the conjugate gradient method. Zbl 0556.65022
Concus, P.; Golub, G. H.; Meurant, G.
94
1985
Inverse eigenvalue problems: theory, algorithms, and applications. Zbl 1075.65058
Chu, Moody T.; Golub, Gene H.
92
2005
Matrices, moments and quadrature with applications. Zbl 1217.65056
Golub, Gene H.; Meurant, Gérard
85
2010
Tikhonov regularization and total least squares. Zbl 0945.65042
Golub, Gene H.; Hansen, Per Christian; O’Leary, Dianne P.
81
1999
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.
81
1971
Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014
Golub, Gene; Pereyra, Victor
81
2003
Structured inverse eigenvalue problems. Zbl 1105.65326
Chu, Moody T.; Golub, Gene H.
80
2002
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
On solving block-structured indefinite linear systems. Zbl 1036.65033
Golub, Gene H.; Greif, Chen
72
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.
65
1976
Matrices, moments and quadrature. Zbl 0795.65019
Golub, G. H.; Meurant, Gerard
64
1994
Least-squares fitting of circles and ellipses. Zbl 0817.65008
Gander, Walter; Golub, Gene H.; Strebel, Rolf
59
1994
Optimization of the Hermitian and skew-Hermitian splitting iteration for saddle-point problems. Zbl 1052.65015
Benzi, Michele; Gander, Martin J.; Golub, Gene H.
59
2003
Iterative solution of linear systems. Zbl 0762.65019
Freund, Roland W.; Golub, Gene H.; Nachtigal, Noël M.
58
1992
Matrix computations. 3rd ed. Zbl 1118.65316
Golub, Gene; Van Loan, Charles F.
56
2007
An iteration for indefinite systems and its application to the Navier-Stokes equations. Zbl 0912.76053
Golub, Gene H.; Wathen, Andrew J.
54
1998
The Block Lanczos method for computing eigenvalues. Zbl 0407.68040
Golub, G. H.; Underwood, R.
53
1977
Scientific computing. An introduction with parallel computing. Zbl 0790.65001
Golub, Gene; Ortega, James M.
49
1993
Adaptive methods for the computation of PageRank. Zbl 1091.68044
Kamvar, Sepandar; Haveliwala, Taher; Golub, Gene
49
2004
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.
47
1969
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
44
2005
Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044
Calvetti, D.; Golub, G. H.; Reichel, L.
44
1999
An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034
Golub, G. H.; Greif, C.
44
2006
Some large-scale matrix computation problems. Zbl 0870.65035
Bai, Zhaojun; Fahey, Mark; Golub, Gene
43
1996
An inverse free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems. Zbl 1016.65017
Golub, Gene H.; Ye, Qiang
42
2002
Matrices, moments and quadrature. II: How to compute the norm of the error iterative methods. Zbl 0888.65050
Golub, G. H.; Meurant, G.
42
1997
A constrained eigenvalue problem. Zbl 0666.15006
Gander, Walter; Golub, Gene H.; von Matt, Urs
42
1989
A stable numerical method for inverting shape from moments. Zbl 0956.65030
Golub, Gene H.; Milanfar, Peyman; Varah, James
42
2000
A generalization of the Eckart-Young-Mirsky matrix approximation theorem. Zbl 0623.15020
Golub, G. H.; Hoffman, Alan; Stewart, G. W.
41
1987
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
41
1999
Some history of the conjugate gradient and Lanczos algorithms: 1948-1976. Zbl 0673.65017
Golub, Gene H.; O’Leary, Dianne P.
40
1989
Calculation of Gauss quadratures with multiple free and fixed knots. Zbl 0525.65010
Golub, G. H.; Kautsky, J.
40
1983
Scientific computing and differential equations: an introduction to numerical methods. Rev. ed. Zbl 0749.65041
Golub, Gene H.; Ortega, James M.
38
1992
Computation of Gauss-Kronrod quadrature rules. Zbl 0947.65022
Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L.
37
2000
Eigenvalue computation in the 20th century. Zbl 0965.65057
Golub, Gene H.; van der Vorst, Henk A.
37
2000
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
Inexact preconditioned conjugate gradient method with inner-outer iteration. Zbl 0955.65022
Golub, Gene H.; Ye, Qiang
35
2000
On the calculation of Jacobi matrices. Zbl 0512.65030
Kautsky, J.; Golub, G. H.
34
1983
Adaptively preconditioned GMRES algorithms. Zbl 0954.65026
Baglama, J.; Calvetti, D.; Golub, G. H.; Reichel, L.
33
1999
Imposing curvature restrictions on flexible functional forms. Zbl 0573.62098
Gallant, A. Ronald; Golub, Gene H.
33
1984
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
Iterative methods for cyclically reduced non-self-adjoint linear systems. Zbl 0699.65021
Elman, Howard C.; Golub, Gene H.
33
1990
Use of fast direct methods for the efficient numerical solution of nonseparable elliptic equations. Zbl 0245.65043
Concus, Paul; Golub, Gene H.
33
1973
The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems. Zbl 0661.65033
Golub, Gene H.; Overton, Michael L.
31
1988
Note on the iterative refinement of least squares solution. Zbl 0156.16106
Golub, G. H.; Wilkinson, J. H.
30
1966
On Fourier-Toeplitz methods for separable elliptic problems. Zbl 0277.65065
Fischer, D.; Golub, G.; Hald, O.; Leiva, C.; Widlund, O.
29
1974
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.
28
1986
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.
27
2006
A generalized conjugate gradient method for nonsymmetric systems of linear equations. Zbl 0344.65020
Concus, Paul; Golub, Gene H.
26
1976
Matrix computations. Paperback ed., 4th printing. Zbl 0592.65011
Golub, Gene H.; Van Loan, Charles F.
26
1985
Regularization by truncated total least squares. Zbl 0891.65040
Fierro, R. D.; Golub, G. H.; Hansen, P. C.; O’Leary, D. P.
25
1997
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
25
2008
Inexact inverse iteration for generalized eigenvalue problems. Zbl 0984.65032
Golub, Gene H.; Ye, Qiang
24
2000
On the spectral decomposition of Hermitian matrices modified by low rank perturbations with applications. Zbl 0646.65033
Arbenz, Peter; Golub, Gene H.
23
1988
On the preconditioning of matrices with skew-symmetric splittings. Zbl 0983.65041
Golub, Gene H.; Vanderstraeten, Denis
23
2000
First international symposium on domain decomposition methods for partial differential equations (Proceedings, Paris, France, January 7-9, 1987). Zbl 0649.00019
22
1988
Tikhonov regularization for large scale problems. Zbl 0927.65058
Golub, Gene H.; von Matt, Urs
22
1998
Regularized total least squares based on quadratic eigenvalue problem solvers. Zbl 1079.65048
Sima, Diana M.; Van Huffel, Sabine; Golub, Gene H.
22
2004
Numerical techniques in mathematical programming. Zbl 0228.90030
Bartels, R. H.; Golub, G. H.; Saunders, M. A.
22
1970
Matrix computations. 4th ed. Zbl 1268.65037
Golub, Gene H.; Van Loan, Charles F.
832
2013
Matrices, moments and quadrature with applications. Zbl 1217.65056
Golub, Gene H.; Meurant, Gérard
85
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
6
2009
A quasi-separable approach to solve the symmetric definite tridiagonal generalized eigenvalue problem. Zbl 1186.65046
Vandebril, Raf; Golub, Gene; van Barel, Marc
2
2009
Symmetric tensors and symmetric tensor rank. Zbl 1181.15014
Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard
147
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.
126
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
25
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.
264
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
135
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.
115
2007
Matrix computations. 3rd ed. Zbl 1118.65316
Golub, Gene; Van Loan, Charles F.
56
2007
Spectral analysis of a preconditioned iterative method for the convection-diffusion equation. Zbl 1140.65024
Bertaccini, Daniele; Golub, Gene H.; Serra-Capizzano, Stefano
12
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 1221.68041
Lee, Chris P.; Golub, Gene H.; Zenios, Stefanos A.
2
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
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
120
2006
An Arnoldi-type algorithm for computing Page Rank. Zbl 1105.65034
Golub, G. H.; Greif, C.
44
2006
A class of nonsymmetric preconditioners for saddle point problems. Zbl 1104.65038
Botchev, Mike A.; Golub, Gene H.
27
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.
9
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
861
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
202
2005
Inverse eigenvalue problems: theory, algorithms, and applications. Zbl 1075.65058
Chu, Moody T.; Golub, Gene H.
92
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
44
2005
A bibliography on semiseparable matrices. Zbl 1168.15312
Vandebril, R.; Van Barel, M.; Golub, G.; Mastronardi, N.
22
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
14
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
336
2004
A preconditioner for generalized saddle point problems. Zbl 1082.65034
Benzi, Michele; Golub, Gene H.
240
2004
Adaptive methods for the computation of PageRank. Zbl 1091.68044
Kamvar, Sepandar; Haveliwala, Taher; Golub, Gene
49
2004
Regularized total least squares based on quadratic eigenvalue problem solvers. Zbl 1079.65048
Sima, Diana M.; Van Huffel, Sabine; Golub, Gene H.
22
2004
Shape from moments – an estimation theory perspective. Zbl 1369.62145
Elad, Michael; Milanfar, Peyman; Golub, Gene H.
14
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.
592
2003
Separable nonlinear least squares: The variable projection method and its applications. Zbl 1022.65014
Golub, Gene; Pereyra, Victor
81
2003
On solving block-structured indefinite linear systems. Zbl 1036.65033
Golub, Gene H.; Greif, Chen
72
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.
59
2003
Scaling by binormalization. Zbl 1050.65049
Livne, Oren E.; Golub, Gene H.
8
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.
80
2002
An inverse free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems. Zbl 1016.65017
Golub, Gene H.; Ye, Qiang
42
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
160
2001
Rank-one approximation to high order tensors. Zbl 1001.65036
Zhang, Tong; Golub, Gene H.
131
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
15
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
6
2001
A note on preconditioning for indefinite linear systems. Zbl 0959.65063
Murphy, Malcolm F.; Golub, Gene H.; Wathen, Andrew J.
205
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.
37
2000
Eigenvalue computation in the 20th century. Zbl 0965.65057
Golub, Gene H.; van der Vorst, Henk A.
37
2000
Inexact preconditioned conjugate gradient method with inner-outer iteration. Zbl 0955.65022
Golub, Gene H.; Ye, Qiang
35
2000
Inexact inverse iteration for generalized eigenvalue problems. Zbl 0984.65032
Golub, Gene H.; Ye, Qiang
24
2000
On the preconditioning of matrices with skew-symmetric splittings. Zbl 0983.65041
Golub, Gene H.; Vanderstraeten, Denis
23
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
179
1999
Tikhonov regularization and total least squares. Zbl 0945.65042
Golub, Gene H.; Hansen, Per Christian; O’Leary, Dianne P.
81
1999
Estimation of the \(L\)-curve via Lanczos bidiagonalization. Zbl 0945.65044
Calvetti, D.; Golub, G. H.; Reichel, L.
44
1999
Bounds for the entries of matrix functions with applications to preconditioning. Zbl 0934.65054
Benzi, Michele; Golub, Gene H.
41
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.
54
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.
17
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.
10
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.
4
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.
42
1997
Regularization by truncated total least squares. Zbl 0891.65040
Fierro, R. D.; Golub, G. H.; Hansen, P. C.; O’Leary, D. P.
25
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
all top 5

Cited by 14,073 Authors

122 Reichel, Lothar
97 Wei, Yimin
67 Bai, Zhongzhi
66 Huang, Ting-Zhu
65 Pan, Victor Yakovlevich
63 Golub, Gene Howard
63 Ma, Changfeng
61 Zhang, Guofeng
56 Jódar Sanchez, Lucas Antonio
47 Benner, Peter
43 Khojasteh Salkuyeh, Davod
42 Evans, David John
41 Ng, Michael Kwok-Po
40 Serra-Capizzano, Stefano
38 Van Barel, Marc
37 Axelsson, Axel Owe Holger
37 Dehghan Takht Fooladi, Mehdi
36 Benzi, Michele
36 Liang, Zhaozheng
35 Mehrmann, Volker
35 Simoncini, Valeria
34 Cao, Yang
34 Wu, Shiliang
33 Jbilou, Khalide
32 Li, Cuixia
32 Van Dooren, Paul M.
32 Van Huffel, Sabine
31 Lin, Wen-Wei
31 Milovanović, Gradimir V.
30 Chen, Guoliang
30 Wu, Yujiang
29 Qi, Liqun
28 Jia, Zhongxiao
28 Wei, Musheng
27 Jin, Xiaoqing
27 Yang, Aili
26 Li, Rencang
26 Nakatsukasa, Yuji
25 Dai, Hua
25 Huang, Zhengge
25 Saad, Yousef
24 Martínez, José Mario
24 Stoll, Martin
23 Calvetti, Daniela
23 Kressner, Daniel
23 Lu, Linzhang
23 Mastronardi, Nicola
23 Vandebril, Raf
22 Bini, Dario Andrea
22 Cui, Jingjing
22 Gu, Chuanqing
22 Hu, Xiyan
22 Lin, Yiqin
22 Mitrouli, Marilena
22 Sadkane, Miloud
22 Wu, Gang
22 Zheng, Bing
21 Gemignani, Luca
21 Hajarian, Masoud
21 Li, Wen
21 Sadok, Hassane
20 Higham, Nicholas J.
20 Nagy, James Gerard
20 Rojo, Oscar L.
20 Toutounian, Faezeh
20 Wathen, Andrew John
20 Xiang, Hua
20 Xu, Zhong
19 Chen, Fang
19 Gondzio, Jacek
19 Hansen, Per Christian
19 Miao, Shu-Xin
19 O’Leary, Dianne P.
19 Plemmons, Robert James
19 Rodriguez, Giuseppe
19 Wang, Xiang
19 Zhang, Lei
18 Bai, Zhaojun
18 Bai, Zhengjian
18 Gautschi, Walter
18 Hadjidimos, Apostolos
18 Verhaegen, Michel
18 Ye, Qiang
17 Ballico, Edoardo
17 Barlow, Jesse L.
17 Chu, Delin
17 Chu, Moody T.
17 De Moor, Bart L. R.
17 Fan, Hongtao
17 King-wah Chu, Eric
17 Paige, Christopher C.
17 Spalević, Miodrag M.
17 Wang, Ligong
17 Wu, Qingbiao
17 Zha, Hongyuan
17 Zhang, Jun
17 Zhang, Lei-Hong
16 Brezinski, Claude
16 Cao, Zhihao
16 Chan, Raymond Hon-Fu
...and 13,973 more Authors
all top 5

Cited in 717 Serials

1,014 Linear Algebra and its Applications
784 Journal of Computational and Applied Mathematics
520 Applied Mathematics and Computation
376 Computers & Mathematics with Applications
357 Journal of Computational Physics
345 Numerical Algorithms
283 Numerische Mathematik
271 Computer Methods in Applied Mechanics and Engineering
258 Applied Numerical Mathematics
246 SIAM Journal on Scientific Computing
242 BIT
209 SIAM Journal on Matrix Analysis and Applications
206 Mathematics of Computation
192 Numerical Linear Algebra with Applications
190 International Journal of Computer Mathematics
163 Automatica
128 Journal of Scientific Computing
115 Computational Statistics and Data Analysis
114 Applied Mathematics Letters
100 Computational Optimization and Applications
88 International Journal of Control
87 Computing
87 Computational and Applied Mathematics
80 Journal of Optimization Theory and Applications
80 Mathematical Programming. Series A. Series B
77 Calcolo
69 Mathematical Problems in Engineering
65 Mathematical and Computer Modelling
64 Pattern Recognition
63 Linear and Multilinear Algebra
63 Optimization Methods & Software
61 Engineering Analysis with Boundary Elements
60 International Journal for Numerical Methods in Engineering
60 Advances in Computational Mathematics
59 Mathematics and Computers in Simulation
58 Systems & Control Letters
57 Journal of Econometrics
54 Journal of Mathematical Analysis and Applications
53 Applied Mathematical Modelling
52 Journal of Mathematical Imaging and Vision
50 Computer Physics Communications
45 Journal of Statistical Computation and Simulation
45 East Asian Journal on Applied Mathematics
44 Mathematical Programming
43 Computers and Fluids
41 Signal Processing
41 Journal of Applied Mathematics and Computing
40 Circuits, Systems, and Signal Processing
40 SIAM Journal on Optimization
39 Journal of the Franklin Institute
37 Theoretical Computer Science
37 Applied and Computational Harmonic Analysis
36 Inverse Problems
36 Japan Journal of Industrial and Applied Mathematics
36 SIAM Journal on Imaging Sciences
35 The Annals of Statistics
34 Computational Mechanics
34 European Journal of Operational Research
33 Journal of Multivariate Analysis
32 SIAM Journal on Numerical Analysis
31 Numerical Functional Analysis and Optimization
31 Machine Learning
31 Journal of Global Optimization
30 Multidimensional Systems and Signal Processing
30 Statistics and Computing
29 International Journal for Numerical Methods in Fluids
29 Computational Geosciences
29 Inverse Problems in Science and Engineering
27 Computer Aided Geometric Design
26 Information Sciences
26 Parallel Algorithms and Applications
26 Foundations of Computational Mathematics
25 International Journal of Systems Science
25 Journal of Approximation Theory
25 Journal of Economic Dynamics & Control
25 Neural Networks
25 International Journal of Computer Vision
24 Journal of Mathematical Physics
24 Journal of Statistical Planning and Inference
24 SIAM Review
24 The Annals of Applied Statistics
23 Journal of Inequalities and Applications
23 Journal of Applied Mathematics
23 Frontiers of Mathematics in China
23 Science China. Mathematics
22 Journal of Fluid Mechanics
22 Journal of Symbolic Computation
21 Mathematical Biosciences
21 Physica D
21 Journal of Complexity
21 Annals of Operations Research
21 Neural Computation
21 Communications in Statistics. Theory and Methods
21 Journal of Machine Learning Research (JMLR)
21 BIT. Nordisk Tidskrift for Informationsbehandling
20 Computational Statistics
20 Automation and Remote Control
20 Communications in Statistics. Simulation and Computation
20 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
...and 617 more Serials
all top 5

Cited in 61 Fields

7,549 Numerical analysis (65-XX)
2,422 Linear and multilinear algebra; matrix theory (15-XX)
1,145 Statistics (62-XX)
1,100 Operations research, mathematical programming (90-XX)
1,049 Partial differential equations (35-XX)
932 Computer science (68-XX)
853 Systems theory; control (93-XX)
716 Fluid mechanics (76-XX)
512 Information and communication theory, circuits (94-XX)
448 Mechanics of deformable solids (74-XX)
355 Probability theory and stochastic processes (60-XX)
346 Approximations and expansions (41-XX)
340 Calculus of variations and optimal control; optimization (49-XX)
330 Ordinary differential equations (34-XX)
292 Biology and other natural sciences (92-XX)
230 Operator theory (47-XX)
202 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
183 Combinatorics (05-XX)
155 Quantum theory (81-XX)
154 Harmonic analysis on Euclidean spaces (42-XX)
151 Optics, electromagnetic theory (78-XX)
138 Special functions (33-XX)
138 Dynamical systems and ergodic theory (37-XX)
138 Geophysics (86-XX)
121 Mechanics of particles and systems (70-XX)
110 Statistical mechanics, structure of matter (82-XX)
106 Integral equations (45-XX)
89 Algebraic geometry (14-XX)
83 Real functions (26-XX)
81 Functions of a complex variable (30-XX)
69 Number theory (11-XX)
63 Functional analysis (46-XX)
59 Differential geometry (53-XX)
57 Field theory and polynomials (12-XX)
57 Classical thermodynamics, heat transfer (80-XX)
52 Integral transforms, operational calculus (44-XX)
41 Commutative algebra (13-XX)
38 Difference and functional equations (39-XX)
36 Potential theory (31-XX)
34 Global analysis, analysis on manifolds (58-XX)
29 Convex and discrete geometry (52-XX)
24 Geometry (51-XX)
23 Astronomy and astrophysics (85-XX)
20 History and biography (01-XX)
18 General and overarching topics; collections (00-XX)
18 Group theory and generalizations (20-XX)
16 Measure and integration (28-XX)
16 Manifolds and cell complexes (57-XX)
15 General topology (54-XX)
12 Several complex variables and analytic spaces (32-XX)
12 Sequences, series, summability (40-XX)
11 Topological groups, Lie groups (22-XX)
9 Associative rings and algebras (16-XX)
8 Mathematical logic and foundations (03-XX)
7 Relativity and gravitational theory (83-XX)
6 Nonassociative rings and algebras (17-XX)
5 Algebraic topology (55-XX)
4 Mathematics education (97-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 General algebraic systems (08-XX)
3 Abstract harmonic analysis (43-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.