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Stewart, Gilbert Wright

Author ID: stewart.gilbert-w Recent zbMATH articles by "Stewart, Gilbert Wright"
Published as: Stewart, G. W.; Stewart, G. W. III; Stewart, Gilbert W.
Homepage: http://www.umiacs.umd.edu/~stewart/
External Links: MGP · Wikidata · GND
Documents Indexed: 143 Publications since 1967, including 8 Books
1 Contribution as Editor · 1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 47 Co-Authors with 44 Joint Publications
1,730 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

130 Publications have been cited 4,444 times in 3,582 Documents Cited by Year
Matrix perturbation theory. Zbl 0706.65013
Stewart, Gilbert W.; Sun, Ji-guang
508
1990
Algorithm 432: Solution of the matrix equation \(AX + XB = C\). Zbl 1372.65121
Bartels, R. H.; Stewart, G. W.
454
1972
Introduction to matrix computations. Zbl 0302.65021
Stewart, G. W.
446
1973
Matrix algorithms. Vol. 2: Eigensystems. Zbl 0984.65031
Stewart, G. W.
250
2001
An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019
Moler, C. B.; Stewart, G. W.
236
1973
Error and perturbation bounds for subspaces associated with certain eigenvalue problems. Zbl 0297.65030
Stewart, G. W.
168
1973
LINPACK, users’ guide. 2nd printing. Zbl 0476.68025
Dongarra, J. J.; Bunch, J. R.; Moler, C. B.; Stewart, G. W.
168
1980
Reorthogonalization and stable algorithms for updating the Gram-Schmidt QR factorization. Zbl 0345.65021
Daniel, J. W.; Gragg, W. B.; Kaufman, Linda; Stewart, G. W.
139
1976
Matrix algorithms. Vol. 1: Basic decompositions. Zbl 0910.65012
Stewart, G. W.
132
1998
A Krylov–Schur algorithm for large eigenproblems. Zbl 1003.65045
Stewart, G. W.
130
2001
On the perturbation of pseudoinverses, projections and linear least squares problems. Zbl 0379.65021
Stewart, G. W.
128
1977
On the continuity of the generalized inverse. Zbl 0172.03801
Stewart, G. W.
90
1969
On the early history of the singular value decomposition. Zbl 0799.01016
Stewart, G. W.
80
1993
The efficient generation of random orthogonal matrices with an application to condition estimators. (With mircofiche section). Zbl 0443.65027
Stewart, G. W.
76
1980
On the sensitivity of the eigenvalue problem A\(x\) = \(\lambda Bx\). Zbl 0252.65026
Stewart, G. W.
64
1972
Perturbation bounds for the definite generalized eigenvalue problem. Zbl 0407.15012
Stewart, G. W.
54
1979
An analysis of the Rayleigh-Ritz method for approximating eigenspaces. Zbl 0968.65020
Jia, Zhongxiao; Stewart, G. W.
52
2001
An estimate for the condition number of a matrix. Zbl 0403.65012
Cline, A. K.; Moler, C. B.; Stewart, G. W.; Wilkinson, J. H.
50
1979
A generalization of the Eckart-Young-Mirsky matrix approximation theorem. Zbl 0623.15020
Golub, G. H.; Hoffman, Alan; Stewart, G. W.
46
1987
Perturbation bounds for the QR factorization of a matrix. Zbl 0358.65038
Stewart, G. W.
42
1977
On scaled projections and pseudoinverses. Zbl 0658.15003
Stewart, G. W.
40
1989
Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices. Zbl 0328.65025
Stewart, G. W.
38
1976
Derivatives and perturbations of eigenvectors. Zbl 0646.15005
Meyer, Carl D.; Stewart, G. W.
38
1988
Computing the CS decomposition of a partitioned orthonormal matrix. Zbl 0516.65016
Stewart, G. W.
37
1982
Four algorithms for the the efficient computation of truncated pivoted QR approximations to a sparse matrix. Zbl 0957.65031
Stewart, G. W.
33
1999
Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices. Zbl 0716.65033
O’Leary, D. P.; Stewart, G. W.
33
1990
A modification of Davidon’s minimization method to accept difference approximations of derivatives. Zbl 0239.65056
Stewart, G. W. III
33
1967
An algorithm for computing reducing subspaces by block diagonalization. Zbl 0413.65034
Bavely, Connice A.; Stewart, G. W.
32
1979
Perturbation analyses for the QR factorization. Zbl 0876.15010
Chang, Xiao-Wen; Paige, Christopher C.; Stewart, G. W.
31
1997
Updating a rank-revealing ULV decomposition. Zbl 0771.65021
Stewart, G. W.
31
1993
On the numerical properties of an iterative method for computing the Moore-Penrose generalized inverse. Zbl 0241.65038
Söderstrom, Torsten; Stewart, G. W.
30
1974
Gershgorin theory for the generalized eigenvalue problem \(AX=\lambda BX\). Zbl 0302.65028
Stewart, G. W.
29
1975
Collinearity and least squares regression. Zbl 0643.62049
Stewart, G. W.
28
1987
The effects of rounding error on an algorithm for downdating a Cholesky factorization. Zbl 0405.65019
Stewart, G. W.
25
1979
Error bounds for approximate invariant subspaces of closed linear operators. Zbl 0232.47010
Stewart, G. W.
25
1971
Conjugate direction methods for solving systems of linear equations. Zbl 0253.65017
Stewart, G. W.
23
1973
Stochastic perturbation theory. Zbl 0722.15002
Stewart, G. W.
23
1990
On the perturbation of LU, Cholesky, and QR factorizations. Zbl 0785.65017
Stewart, G. W.
21
1993
The QLP approximation to the singular value decomposition. Zbl 0939.65062
Stewart, G. W.
21
1999
The Laurent expansion of pencils that are singular at the origin. Zbl 0813.15008
Schweitzer, Paul; Stewart, G. W.
20
1993
Data-flow algorithms for parallel matrix computations. Zbl 0606.65029
O’Leary, Dianne P.; Stewart, G. W.
19
1985
Afternotes goes to graduate school. Lectures on advanced numerical analysis. Zbl 0898.65001
Stewart, G. W.
18
1998
A Jacobi-like algorithm for computing the Schur decomposition of a nonhermitian matrix. Zbl 0601.65024
Stewart, G. W.
15
1985
Accelerating the orthogonal iteration for the eigenvectors of a Hermitian matrix. Zbl 0185.40203
Stewart, G. W.
14
1969
On the perturbation of \(LU\) and Cholesky factors. Zbl 0876.65016
Stewart, G. W.
13
1997
Computable error bounds for aggregated Markov chains. Zbl 0523.60062
Stewart, G. W.
13
1983
An efficient algorithm for computing the generalized null space decomposition. Zbl 1327.65072
Guglielmi, Nicola; Overton, Michael L.; Stewart, G. W.
12
2015
On the solution of block Hessenberg systems. Zbl 0837.65014
Stewart, G. W.
12
1995
New perturbation analyses for the Cholesky factorization. Zbl 0861.65020
Chang, Xiao-Wen; Paige, Christopher C.; Stewart, G. W.
12
1996
A stable variant of the secant method for solving nonlinear equations. Zbl 0359.65045
Gragg, W. B.; Stewart, G. W.
12
1976
Rank degeneracy. Zbl 0579.65034
Stewart, G. W.
11
1984
Algorithm 844: Computing sparse reduced-rank approximations to sparse matrices. Zbl 1070.65539
Berry, Michael W.; Pulatova, Shakhina A.; Stewart, G. W.
11
2005
A note on generalized and hypergeneralized projectors. Zbl 1088.15027
Stewart, G. W.
10
2006
Perturbation theory for rectangular matrix pencils. Zbl 0806.15012
Stewart, G. W.
10
1994
The economical storage of plane rotations. Zbl 0319.65033
Stewart, G. W.
10
1976
Estimating the largest eigenvalue of a positive definite matrix. Zbl 0435.65026
O’Leary, Dianne P.; Stewart, G. W.; Vandergraft, James S.
10
1979
A second order perturbation expansion for small singular values. Zbl 0532.15008
Stewart, G. W.
10
1984
On the numerical analysis of oblique projectors. Zbl 1225.65046
Stewart, G. W.
10
2011
A parallel implementation of the QR-algorithm. Zbl 0626.65032
Stewart, G. W.
9
1987
Iterative regularization and MINRES. Zbl 0951.65037
Kilmer, Misha; Stewart, G. W.
9
2000
On the weighting method for least squares problems with linear equality constraints. Zbl 0893.65024
Stewart, G. W.
9
1997
Block Gram-Schmidt orthogonalization. Zbl 1185.65069
Stewart, G. W.
9
2008
A block QR algorithm and the singular value decomposition. Zbl 0769.65012
Mathias, R.; Stewart, G. W.
9
1993
Properties of a representation of a basis for the null space. Zbl 0579.65035
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Stewart, G. W.; Wright, Margaret H.
8
1985
A generalization of Saad’s theorem on Rayleigh-Ritz approximations. Zbl 0982.15023
Stewart, G. W.
8
2001
Afternotes on numerical analysis. A series of lectures on elementary numerical analysis presented at the University of Maryland at College Park and recorded after the fact. Zbl 0844.65002
Stewart, G. W.
8
1996
Numerical methods for M/G/1 type queues. Zbl 0871.60072
Latouche, Guy; Stewart, G. W.
8
1995
The convergence of multipoint iterations to multiple zeros. Zbl 0292.65025
Stewart, G. W.
8
1974
On the implicit deflation of nearly singular systems of linear equations. Zbl 0475.65017
Stewart, G. W.
8
1981
Algorithm 776: SRRIT: A Fortran subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix. Zbl 0912.65029
Bai, Zhaojun; Stewart, G. W.
8
1997
On hyperbolic triangularization: Stability and pivoting. Zbl 0948.65027
Stewart, Michael; Stewart, G. W.
8
1998
Some iterations for factoring polynomials. Zbl 0181.17401
Stewart, G. W.
8
1969
Collinearity and least squares regression. With discussion. Zbl 0955.62605
Stewart, G. W.
7
1987
Modifying pivot elements in Gaussian elimination. Zbl 0293.65015
Stewart, G. W.
7
1974
On a Rayleigh-Ritz refinement technique for nearly uncoupled stochastic matrices. Zbl 0539.65018
McAllister, D. F.; Stewart, G. W.; Stewart, W. J.
7
1984
On a direct method for the solution of nearly uncoupled Markov chains. Zbl 0697.65016
Stewart, G. W.; Zhang, G.
7
1991
A new relative perturbation theorem for singular subspaces. Zbl 0962.15012
Li, Ren-Cang; Stewart, G. W.
6
2000
Updating URV decompositions in parallel. Zbl 0792.65015
Stewart, G. W.
6
1994
A two-stage iteration for solving nearly completely decomposable Markov chains. Zbl 0804.65148
Stewart, G. W.; Stewart, W. J.; McAllister, D. F.
6
1994
A note on the perturbation of singular values. Zbl 0421.15018
Stewart, G. W.
6
1979
The behavior of a multiplicity independent root-finding scheme in the presence of error. Zbl 0475.65026
Stewart, G. W.
6
1980
On the asymptotic behavior of scaled singular value and QR decompositions. Zbl 0563.65023
Stewart, G. W.
6
1984
On the adjugate matrix. Zbl 0935.65015
Stewart, G. W.
6
1998
On Lehmer’s method for finding the zeros of a polynomial. Zbl 0214.14802
Stewart, G. W. III
6
1969
On a companion operator for analytic functions. Zbl 0217.52705
Stewart, G. W.
6
1971
Determining rank in the presence of error. Zbl 0813.65065
Stewart, G. W.
5
1993
An Elsner-like perturbation theorem for generalized eigenvalues. Zbl 1067.15016
Stewart, G. W.
5
2004
Gaussian elimination, perturbation theory, and Markov chains. Zbl 0789.65102
Stewart, G. W.
5
1993
Eigenvalues of graded matrices and the condition numbers of a multiple eigenvalue. Zbl 0697.65027
Stewart, G. W.; Zhang, G.
5
1991
Two simple residual bounds for the eigenvalues of a Hermitian matrix. Zbl 0726.15009
Stewart, G. W.
5
1991
On graded QR decompositions of products of matrices. Zbl 0855.65036
Stewart, G. W.
4
1995
On the Householder Fox algorithm for decomposing a projection. Zbl 0395.65009
Moler, Cleve B.; Stewart, G. W.
4
1978
Research, development, and LINPACK. Zbl 0407.68027
Stewart, G. W.
4
1977
A bibliographical tour of the large, sparse generalized eigenvalue problem. Zbl 0343.65013
Stewart, G. W.
4
1976
Perturbation theory for the generalized eigenvalue problem. Zbl 0457.65022
Stewart, G. W.
4
1978
On the sensitivity of nearly uncoupled Markov chains. Zbl 0736.60059
Stewart, G. W.
4
1991
An iterative method for solving linear inequalities. Zbl 0721.65033
Stewart, G. W.
4
1990
Error analysis of the algorithm for shifting the zeros of a polynomial by synthetic division. Zbl 0219.65042
Stewart, G. W. III
4
1971
On the powers of a matrix with perturbations. Zbl 1089.15028
Stewart, G. W.
3
2003
A note on complex division. Zbl 0588.65013
Stewart, G. W.
3
1985
An efficient algorithm for computing the generalized null space decomposition. Zbl 1327.65072
Guglielmi, Nicola; Overton, Michael L.; Stewart, G. W.
12
2015
On the numerical analysis of oblique projectors. Zbl 1225.65046
Stewart, G. W.
10
2011
On the semidefinite B-Arnoldi method. Zbl 1195.65047
Stewart, G. W.
1
2010
Block Gram-Schmidt orthogonalization. Zbl 1185.65069
Stewart, G. W.
9
2008
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
A note on generalized and hypergeneralized projectors. Zbl 1088.15027
Stewart, G. W.
10
2006
Algorithm 844: Computing sparse reduced-rank approximations to sparse matrices. Zbl 1070.65539
Berry, Michael W.; Pulatova, Shakhina A.; Stewart, G. W.
11
2005
Error analysis of the quasi-Gram-Schmidt algorithm. Zbl 1091.65039
Stewart, G. W.
2
2005
An Elsner-like perturbation theorem for generalized eigenvalues. Zbl 1067.15016
Stewart, G. W.
5
2004
On the powers of a matrix with perturbations. Zbl 1089.15028
Stewart, G. W.
3
2003
Backword error bounds for approximate Krylov subspaces. Zbl 0994.65026
Stewart, G. W.
3
2002
Adjusting the Rayleigh quotient in semiorthogonal Lanczos methods. Zbl 1014.65028
Stewart, G. W.
2
2002
Matrix algorithms. Vol. 2: Eigensystems. Zbl 0984.65031
Stewart, G. W.
250
2001
A Krylov–Schur algorithm for large eigenproblems. Zbl 1003.65045
Stewart, G. W.
130
2001
An analysis of the Rayleigh-Ritz method for approximating eigenspaces. Zbl 0968.65020
Jia, Zhongxiao; Stewart, G. W.
52
2001
A generalization of Saad’s theorem on Rayleigh-Ritz approximations. Zbl 0982.15023
Stewart, G. W.
8
2001
On the eigensystems of graded matrices. Zbl 0999.15006
Stewart, G. W.
1
2001
Iterative regularization and MINRES. Zbl 0951.65037
Kilmer, Misha; Stewart, G. W.
9
2000
A new relative perturbation theorem for singular subspaces. Zbl 0962.15012
Li, Ren-Cang; Stewart, G. W.
6
2000
Four algorithms for the the efficient computation of truncated pivoted QR approximations to a sparse matrix. Zbl 0957.65031
Stewart, G. W.
33
1999
The QLP approximation to the singular value decomposition. Zbl 0939.65062
Stewart, G. W.
21
1999
Matrix algorithms. Vol. 1: Basic decompositions. Zbl 0910.65012
Stewart, G. W.
132
1998
Afternotes goes to graduate school. Lectures on advanced numerical analysis. Zbl 0898.65001
Stewart, G. W.
18
1998
On hyperbolic triangularization: Stability and pivoting. Zbl 0948.65027
Stewart, Michael; Stewart, G. W.
8
1998
On the adjugate matrix. Zbl 0935.65015
Stewart, G. W.
6
1998
On the convergence of a new Rayleigh quotient method with applications to large eigenproblems. Zbl 0912.65028
O’Leary, D. P.; Stewart, G. W.
2
1998
Perturbation analyses for the QR factorization. Zbl 0876.15010
Chang, Xiao-Wen; Paige, Christopher C.; Stewart, G. W.
31
1997
On the perturbation of \(LU\) and Cholesky factors. Zbl 0876.65016
Stewart, G. W.
13
1997
On the weighting method for least squares problems with linear equality constraints. Zbl 0893.65024
Stewart, G. W.
9
1997
Algorithm 776: SRRIT: A Fortran subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix. Zbl 0912.65029
Bai, Zhaojun; Stewart, G. W.
8
1997
The triangular matrices of Gaussian elimination and related decompositions. Zbl 0873.65015
Stewart, G. W.
1
1997
New perturbation analyses for the Cholesky factorization. Zbl 0861.65020
Chang, Xiao-Wen; Paige, Christopher C.; Stewart, G. W.
12
1996
Afternotes on numerical analysis. A series of lectures on elementary numerical analysis presented at the University of Maryland at College Park and recorded after the fact. Zbl 0844.65002
Stewart, G. W.
8
1996
Rounding errors in solving block Hessenberg systems. Zbl 0848.65011
von Matt, Urs; Stewart, G. W.
2
1996
On the solution of block Hessenberg systems. Zbl 0837.65014
Stewart, G. W.
12
1995
Numerical methods for M/G/1 type queues. Zbl 0871.60072
Latouche, Guy; Stewart, G. W.
8
1995
On graded QR decompositions of products of matrices. Zbl 0855.65036
Stewart, G. W.
4
1995
Perturbation theory for rectangular matrix pencils. Zbl 0806.15012
Stewart, G. W.
10
1994
Updating URV decompositions in parallel. Zbl 0792.65015
Stewart, G. W.
6
1994
A two-stage iteration for solving nearly completely decomposable Markov chains. Zbl 0804.65148
Stewart, G. W.; Stewart, W. J.; McAllister, D. F.
6
1994
On the convergence of multipoint iterations. Zbl 0815.65063
Stewart, G. W.
3
1994
UTV decompositions. Zbl 0796.65024
Stewart, G. W.
2
1994
On the early history of the singular value decomposition. Zbl 0799.01016
Stewart, G. W.
80
1993
Updating a rank-revealing ULV decomposition. Zbl 0771.65021
Stewart, G. W.
31
1993
On the perturbation of LU, Cholesky, and QR factorizations. Zbl 0785.65017
Stewart, G. W.
21
1993
The Laurent expansion of pencils that are singular at the origin. Zbl 0813.15008
Schweitzer, Paul; Stewart, G. W.
20
1993
A block QR algorithm and the singular value decomposition. Zbl 0769.65012
Mathias, R.; Stewart, G. W.
9
1993
Determining rank in the presence of error. Zbl 0813.65065
Stewart, G. W.
5
1993
Gaussian elimination, perturbation theory, and Markov chains. Zbl 0789.65102
Stewart, G. W.
5
1993
On the perturbation of Markov chains with nearly transient states. Zbl 0797.15019
Stewart, G. W.
2
1993
On a direct method for the solution of nearly uncoupled Markov chains. Zbl 0697.65016
Stewart, G. W.; Zhang, G.
7
1991
Eigenvalues of graded matrices and the condition numbers of a multiple eigenvalue. Zbl 0697.65027
Stewart, G. W.; Zhang, G.
5
1991
Two simple residual bounds for the eigenvalues of a Hermitian matrix. Zbl 0726.15009
Stewart, G. W.
5
1991
On the sensitivity of nearly uncoupled Markov chains. Zbl 0736.60059
Stewart, G. W.
4
1991
Matrix perturbation theory. Zbl 0706.65013
Stewart, Gilbert W.; Sun, Ji-guang
508
1990
Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices. Zbl 0716.65033
O’Leary, D. P.; Stewart, G. W.
33
1990
Stochastic perturbation theory. Zbl 0722.15002
Stewart, G. W.
23
1990
An iterative method for solving linear inequalities. Zbl 0721.65033
Stewart, G. W.
4
1990
Communication and matrix computations on large message passing systems. Zbl 0713.65106
Stewart, G. W.
1
1990
On scaled projections and pseudoinverses. Zbl 0658.15003
Stewart, G. W.
40
1989
Derivatives and perturbations of eigenvectors. Zbl 0646.15005
Meyer, Carl D.; Stewart, G. W.
38
1988
A generalization of the Eckart-Young-Mirsky matrix approximation theorem. Zbl 0623.15020
Golub, G. H.; Hoffman, Alan; Stewart, G. W.
46
1987
Collinearity and least squares regression. Zbl 0643.62049
Stewart, G. W.
28
1987
A parallel implementation of the QR-algorithm. Zbl 0626.65032
Stewart, G. W.
9
1987
Collinearity and least squares regression. With discussion. Zbl 0955.62605
Stewart, G. W.
7
1987
Numerical linear algebra in statistical computing. Zbl 0615.65048
Higham, N. J.; Stewart, G. W.
3
1987
Assignment and scheduling in parallel matrix factorization. Zbl 0587.65014
O’Leary, Dianne P.; Stewart, G. W.
2
1986
Data-flow algorithms for parallel matrix computations. Zbl 0606.65029
O’Leary, Dianne P.; Stewart, G. W.
19
1985
A Jacobi-like algorithm for computing the Schur decomposition of a nonhermitian matrix. Zbl 0601.65024
Stewart, G. W.
15
1985
Properties of a representation of a basis for the null space. Zbl 0579.65035
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Stewart, G. W.; Wright, Margaret H.
8
1985
A note on complex division. Zbl 0588.65013
Stewart, G. W.
3
1985
Rank degeneracy. Zbl 0579.65034
Stewart, G. W.
11
1984
A second order perturbation expansion for small singular values. Zbl 0532.15008
Stewart, G. W.
10
1984
On a Rayleigh-Ritz refinement technique for nearly uncoupled stochastic matrices. Zbl 0539.65018
McAllister, D. F.; Stewart, G. W.; Stewart, W. J.
7
1984
On the asymptotic behavior of scaled singular value and QR decompositions. Zbl 0563.65023
Stewart, G. W.
6
1984
On the invariance of perturbed null vectors under column scaling. Zbl 0579.65033
Stewart, G. W.
1
1984
Computable error bounds for aggregated Markov chains. Zbl 0523.60062
Stewart, G. W.
13
1983
A method for computing the generalized singular value decomposition. Zbl 0513.65015
Stewart, G. W.
3
1983
Computing the CS decomposition of a partitioned orthonormal matrix. Zbl 0516.65016
Stewart, G. W.
37
1982
On the implicit deflation of nearly singular systems of linear equations. Zbl 0475.65017
Stewart, G. W.
8
1981
LINPACK, users’ guide. 2nd printing. Zbl 0476.68025
Dongarra, J. J.; Bunch, J. R.; Moler, C. B.; Stewart, G. W.
168
1980
The efficient generation of random orthogonal matrices with an application to condition estimators. (With mircofiche section). Zbl 0443.65027
Stewart, G. W.
76
1980
The behavior of a multiplicity independent root-finding scheme in the presence of error. Zbl 0475.65026
Stewart, G. W.
6
1980
Perturbation bounds for the definite generalized eigenvalue problem. Zbl 0407.15012
Stewart, G. W.
54
1979
An estimate for the condition number of a matrix. Zbl 0403.65012
Cline, A. K.; Moler, C. B.; Stewart, G. W.; Wilkinson, J. H.
50
1979
An algorithm for computing reducing subspaces by block diagonalization. Zbl 0413.65034
Bavely, Connice A.; Stewart, G. W.
32
1979
The effects of rounding error on an algorithm for downdating a Cholesky factorization. Zbl 0405.65019
Stewart, G. W.
25
1979
Estimating the largest eigenvalue of a positive definite matrix. Zbl 0435.65026
O’Leary, Dianne P.; Stewart, G. W.; Vandergraft, James S.
10
1979
A note on the perturbation of singular values. Zbl 0421.15018
Stewart, G. W.
6
1979
Sparse matrix proceedings 1978. Zbl 0401.00013
3
1979
On the Householder Fox algorithm for decomposing a projection. Zbl 0395.65009
Moler, Cleve B.; Stewart, G. W.
4
1978
Perturbation theory for the generalized eigenvalue problem. Zbl 0457.65022
Stewart, G. W.
4
1978
On the perturbation of pseudoinverses, projections and linear least squares problems. Zbl 0379.65021
Stewart, G. W.
128
1977
Perturbation bounds for the QR factorization of a matrix. Zbl 0358.65038
Stewart, G. W.
42
1977
Research, development, and LINPACK. Zbl 0407.68027
Stewart, G. W.
4
1977
Reorthogonalization and stable algorithms for updating the Gram-Schmidt QR factorization. Zbl 0345.65021
Daniel, J. W.; Gragg, W. B.; Kaufman, Linda; Stewart, G. W.
139
1976
Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices. Zbl 0328.65025
Stewart, G. W.
38
1976
A stable variant of the secant method for solving nonlinear equations. Zbl 0359.65045
Gragg, W. B.; Stewart, G. W.
12
1976
The economical storage of plane rotations. Zbl 0319.65033
Stewart, G. W.
10
1976
A bibliographical tour of the large, sparse generalized eigenvalue problem. Zbl 0343.65013
Stewart, G. W.
4
1976
...and 30 more Documents
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Cited by 4,725 Authors

55 Wei, Yimin
43 Li, Rencang
36 Jia, Zhongxiao
33 Benner, Peter
32 Van Dooren, Paul M.
31 Stewart, Gilbert Wright
27 Pan, Victor Yakovlevich
23 Reichel, Lothar
22 Kressner, Daniel
22 Lin, Wen-Wei
21 Dopico, Froilán M.
21 Simoncini, Valeria
21 Wu, Gang
20 Sun, Jiguang
19 Jbilou, Khalide
18 Nakatsukasa, Yuji
18 Wei, Musheng
17 Higham, Nicholas J.
16 Barlow, Jesse L.
16 Zhang, Lei-Hong
15 Mehrmann, Volker
15 Petkov, Petko Hr.
14 Bai, Zhaojun
14 Saad, Yousef
14 Sadkane, Miloud
13 Galántai, Aurél
13 Hochstenbach, Michiel E.
13 Li, Hanyu
13 Paige, Christopher C.
12 Chen, Xiaoshan
12 Golub, Gene Howard
12 Konstantinov, Mikhail Mikhajlov
12 Li, Wen
12 Román, Jose E.
12 Vandebril, Raf
11 Dax, Achiya
11 Guglielmi, Nicola
11 Hansen, Per Christian
11 Liu, Qiaohua
11 Meerbergen, Karl
11 Neumann, Michael
11 O’Leary, Dianne P.
11 Stanimirović, Predrag S.
10 Dai, Hua
10 Demmel, James Weldon
10 Diao, Huaian
10 Faßbender, Heike
10 Laub, Alan J.
9 Dongarra, Jack J.
9 Quintana-Ortí, Enrique S.
9 Soleymani, Fazlollah
9 Truhar, Ninoslav
9 Van Huffel, Sabine
9 Zheng, Bing
9 Zlatev, Zahari
8 Benítez Lopez, Julio
8 Bunch, James R.
8 Chang, Xiaowen
8 Dehghan Takht Fooladi, Mehdi
8 Fan, Jinyan
8 Ipsen, Ilse C. F.
8 Kirkland, Stephen J.
8 Kublanovskaya, Vera Nikolaevna
8 Kürschner, Patrick
8 Meini, Beatrice
8 Palitta, Davide
8 Parlett, Beresford Neill
8 Plemmons, Robert James
8 Robol, Leonardo
8 Samar, Mahvish
8 Stykel, Tatjana
8 Wang, Xiang
8 Watkins, David S.
7 Absil, Pierre-Antoine
7 Bini, Dario Andrea
7 Chen, Guoliang
7 Drineas, Petros
7 Drmač, Zlatko
7 Erbay, Hasan
7 Farooq, Aamir
7 Fasi, Massimiliano
7 Ferreira, Orizon Pereira
7 Gemignani, Luca
7 Hashemi, Behnam
7 Howlett, Phil G.
7 Jarlebring, Elias
7 Kågström, Bo
7 Lu, Linzhang
7 Miyajima, Shinya
7 Poloni, Federico Giovanni
7 Quintana-Ortí, Gregorio
7 Rosholt, Rhys Eric
7 Ruhe, Axel
7 Spedicato, Emilio
7 Szyld, Daniel B.
7 Wang, Qingwen
7 Yang, Hu
7 Zhou, Yunkai
6 Albrecht, Amie R.
6 Bhatia, Rajendra
...and 4,625 more Authors
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Cited in 459 Serials

513 Linear Algebra and its Applications
158 Journal of Computational and Applied Mathematics
121 SIAM Journal on Matrix Analysis and Applications
108 Numerische Mathematik
105 Applied Mathematics and Computation
90 BIT
80 SIAM Journal on Scientific Computing
79 Journal of Computational Physics
78 Computers & Mathematics with Applications
78 Numerical Linear Algebra with Applications
73 Mathematics of Computation
73 Numerical Algorithms
62 International Journal of Control
60 Automatica
60 Applied Numerical Mathematics
49 Computer Methods in Applied Mechanics and Engineering
45 Journal of Optimization Theory and Applications
42 Linear and Multilinear Algebra
37 International Journal of Computer Mathematics
34 Journal of Scientific Computing
33 Systems & Control Letters
32 Computing
29 Mathematical Programming. Series A. Series B
28 Journal of Fluid Mechanics
27 Computational Statistics and Data Analysis
24 International Journal of Systems Science
23 Applied Mathematics Letters
22 The Annals of Statistics
22 Computational Optimization and Applications
21 Journal of the Franklin Institute
21 Calcolo
19 Journal of Mathematical Analysis and Applications
19 International Journal for Numerical Methods in Engineering
19 Numerical Functional Analysis and Optimization
19 Mathematical and Computer Modelling
17 Computational and Applied Mathematics
15 Mathematical Programming
15 European Journal of Operational Research
14 Computer Physics Communications
14 Applied Mathematical Modelling
14 Journal of Applied Mathematics and Computing
13 Theoretical Computer Science
13 Japan Journal of Industrial and Applied Mathematics
12 Journal of Econometrics
12 Journal of Multivariate Analysis
12 Mathematics and Computers in Simulation
12 SIAM Journal on Optimization
12 Applied and Computational Harmonic Analysis
11 Inverse Problems
11 Circuits, Systems, and Signal Processing
11 Physica D
11 Communications in Statistics. Theory and Methods
11 Advances in Computational Mathematics
11 Foundations of Computational Mathematics
11 Journal of Machine Learning Research (JMLR)
11 BIT. Nordisk Tidskrift for Informationsbehandling
10 SIAM Journal on Algebraic and Discrete Methods
10 Journal of Mathematical Imaging and Vision
9 Journal of Soviet Mathematics
9 Journal of Global Optimization
9 Journal of Statistical Computation and Simulation
9 SIAM Review
9 ELA. The Electronic Journal of Linear Algebra
9 Electronic Journal of Statistics
9 Science China. Mathematics
8 Acta Mechanica
8 Journal of Mathematical Physics
8 ACM Transactions on Mathematical Software
8 Information Sciences
8 Kybernetika
8 ETNA. Electronic Transactions on Numerical Analysis
8 Journal of Difference Equations and Applications
8 Mathematical Problems in Engineering
8 Optimization Methods & Software
7 Computers and Fluids
7 Computer Aided Geometric Design
7 Optimization
7 MCSS. Mathematics of Control, Signals, and Systems
7 Journal of Mathematical Sciences (New York)
7 International Journal of Computer Vision
7 Acta Numerica
7 Statistics and Computing
6 Mathematical Biosciences
6 Proceedings of the American Mathematical Society
6 Operations Research Letters
6 Journal of Complexity
6 Communications in Statistics. Simulation and Computation
6 International Journal of Robust and Nonlinear Control
6 Cybernetics and Systems Analysis
6 Physics of Fluids
6 Soft Computing
6 SIAM Journal on Imaging Sciences
5 Applicable Analysis
5 Journal of Mathematical Biology
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Integral Equations and Operator Theory
5 Journal of Computer and System Sciences
5 SIAM Journal on Numerical Analysis
5 Statistics & Probability Letters
5 Applied Mathematics and Mechanics. (English Edition)
...and 359 more Serials
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Cited in 58 Fields

2,238 Numerical analysis (65-XX)
1,212 Linear and multilinear algebra; matrix theory (15-XX)
390 Systems theory; control (93-XX)
331 Operations research, mathematical programming (90-XX)
303 Statistics (62-XX)
206 Computer science (68-XX)
148 Partial differential equations (35-XX)
142 Operator theory (47-XX)
142 Fluid mechanics (76-XX)
136 Probability theory and stochastic processes (60-XX)
110 Ordinary differential equations (34-XX)
87 Mechanics of deformable solids (74-XX)
85 Calculus of variations and optimal control; optimization (49-XX)
76 Information and communication theory, circuits (94-XX)
64 Biology and other natural sciences (92-XX)
51 Approximations and expansions (41-XX)
49 Dynamical systems and ergodic theory (37-XX)
49 Quantum theory (81-XX)
44 Combinatorics (05-XX)
43 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
34 Functions of a complex variable (30-XX)
32 Statistical mechanics, structure of matter (82-XX)
30 Mechanics of particles and systems (70-XX)
30 Optics, electromagnetic theory (78-XX)
24 Harmonic analysis on Euclidean spaces (42-XX)
24 Integral equations (45-XX)
22 Real functions (26-XX)
22 Classical thermodynamics, heat transfer (80-XX)
20 Field theory and polynomials (12-XX)
20 Geophysics (86-XX)
19 Difference and functional equations (39-XX)
18 Functional analysis (46-XX)
18 Differential geometry (53-XX)
17 Global analysis, analysis on manifolds (58-XX)
12 Special functions (33-XX)
9 Number theory (11-XX)
9 Commutative algebra (13-XX)
8 Algebraic geometry (14-XX)
8 Geometry (51-XX)
7 History and biography (01-XX)
7 Integral transforms, operational calculus (44-XX)
7 Convex and discrete geometry (52-XX)
4 General and overarching topics; collections (00-XX)
4 Astronomy and astrophysics (85-XX)
3 Mathematical logic and foundations (03-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Topological groups, Lie groups (22-XX)
2 Nonassociative rings and algebras (17-XX)
2 Group theory and generalizations (20-XX)
2 Sequences, series, summability (40-XX)
2 General topology (54-XX)
2 Manifolds and cell complexes (57-XX)
1 General algebraic systems (08-XX)
1 Associative rings and algebras (16-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)

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