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Stewart, Gilbert Wright

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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: 46 Co-Authors with 42 Joint Publications
1,593 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

130 Publications have been cited 4,047 times in 3,277 Documents Cited by Year
Introduction to matrix computations. Zbl 0302.65021
Stewart, G. W.
427
1973
Matrix perturbation theory. Zbl 0706.65013
Stewart, Gilbert W.; Sun, Ji-guang
421
1990
Algorithm 432: Solution of the matrix equation \(AX + XB = C\). Zbl 1372.65121
Bartels, R. H.; Stewart, G. W.
405
1972
An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019
Moler, C. B.; Stewart, G. W.
225
1973
Matrix algorithms. Vol. 2: Eigensystems. Zbl 0984.65031
Stewart, G. W.
224
2001
Error and perturbation bounds for subspaces associated with certain eigenvalue problems. Zbl 0297.65030
Stewart, G. W.
165
1973
LINPACK, users’ guide. 2nd printing. Zbl 0476.68025
Dongarra, J. J.; Bunch, J. R.; Moler, C. B.; Stewart, G. W.
153
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.
135
1976
On the perturbation of pseudoinverses, projections and linear least squares problems. Zbl 0379.65021
Stewart, G. W.
119
1977
Matrix algorithms. Vol. 1: Basic decompositions. Zbl 0910.65012
Stewart, G. W.
108
1998
A Krylov–Schur algorithm for large eigenproblems. Zbl 1003.65045
Stewart, G. W.
100
2001
On the continuity of the generalized inverse. Zbl 0172.03801
Stewart, G. W.
80
1969
On the early history of the singular value decomposition. Zbl 0799.01016
Stewart, G. W.
72
1993
The efficient generation of random orthogonal matrices with an application to condition estimators. (With mircofiche section). Zbl 0443.65027
Stewart, G. W.
64
1980
On the sensitivity of the eigenvalue problem A\(x\) = \(\lambda Bx\). Zbl 0252.65026
Stewart, G. W.
63
1972
Perturbation bounds for the definite generalized eigenvalue problem. Zbl 0407.15012
Stewart, G. W.
52
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 analysis of the Rayleigh-Ritz method for approximating eigenspaces. Zbl 0968.65020
Jia, Zhongxiao; Stewart, G. W.
49
2001
A generalization of the Eckart-Young-Mirsky matrix approximation theorem. Zbl 0623.15020
Golub, G. H.; Hoffman, Alan; Stewart, G. W.
43
1987
Perturbation bounds for the QR factorization of a matrix. Zbl 0358.65038
Stewart, G. W.
41
1977
Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices. Zbl 0328.65025
Stewart, G. W.
38
1976
On scaled projections and pseudoinverses. Zbl 0658.15003
Stewart, G. W.
35
1989
Derivatives and perturbations of eigenvectors. Zbl 0646.15005
Meyer, Carl D.; Stewart, G. W.
34
1988
Computing the CS decomposition of a partitioned orthonormal matrix. Zbl 0516.65016
Stewart, G. W.
34
1982
A modification of Davidon’s minimization method to accept difference approximations of derivatives. Zbl 0239.65056
Stewart, G. W. III
32
1967
Four algorithms for the the efficient computation of truncated pivoted QR approximations to a sparse matrix. Zbl 0957.65031
Stewart, G. W.
30
1999
On the numerical properties of an iterative method for computing the Moore-Penrose generalized inverse. Zbl 0241.65038
Söderstrom, Torsten; Stewart, G. W.
29
1974
Perturbation analyses for the QR factorization. Zbl 0876.15010
Chang, Xiao-Wen; Paige, Christopher C.; Stewart, G. W.
29
1997
An algorithm for computing reducing subspaces by block diagonalization. Zbl 0413.65034
Bavely, Connice A.; Stewart, G. W.
28
1979
Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices. Zbl 0716.65033
O’Leary, D. P.; Stewart, G. W.
28
1990
Updating a rank-revealing ULV decomposition. Zbl 0771.65021
Stewart, G. W.
27
1993
Error bounds for approximate invariant subspaces of closed linear operators. Zbl 0232.47010
Stewart, G. W.
25
1971
Gershgorin theory for the generalized eigenvalue problem \(AX=\lambda BX\). Zbl 0302.65028
Stewart, G. W.
25
1975
The effects of rounding error on an algorithm for downdating a Cholesky factorization. Zbl 0405.65019
Stewart, G. W.
24
1979
Collinearity and least squares regression. Zbl 0643.62049
Stewart, G. W.
23
1987
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.
22
1990
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
Data-flow algorithms for parallel matrix computations. Zbl 0606.65029
O’Leary, Dianne P.; Stewart, G. W.
18
1985
The QLP approximation to the singular value decomposition. Zbl 0939.65062
Stewart, G. W.
18
1999
A Jacobi-like algorithm for computing the Schur decomposition of a nonhermitian matrix. Zbl 0601.65024
Stewart, G. W.
15
1985
Afternotes goes to graduate school. Lectures on advanced numerical analysis. Zbl 0898.65001
Stewart, G. W.
15
1998
Computable error bounds for aggregated Markov chains. Zbl 0523.60062
Stewart, G. W.
13
1983
Accelerating the orthogonal iteration for the eigenvectors of a Hermitian matrix. Zbl 0185.40203
Stewart, G. W.
13
1969
A stable variant of the secant method for solving nonlinear equations. Zbl 0359.65045
Gragg, W. B.; Stewart, G. W.
12
1976
New perturbation analyses for the Cholesky factorization. Zbl 0861.65020
Chang, Xiao-Wen; Paige, Christopher C.; Stewart, G. W.
12
1996
On the perturbation of \(LU\) and Cholesky factors. Zbl 0876.65016
Stewart, G. W.
12
1997
An efficient algorithm for computing the generalized null space decomposition. Zbl 1327.65072
Guglielmi, Nicola; Overton, Michael L.; Stewart, G. W.
11
2015
Algorithm 844: Computing sparse reduced-rank approximations to sparse matrices. Zbl 1070.65539
Berry, Michael W.; Pulatova, Shakhina A.; Stewart, G. W.
11
2005
On the numerical analysis of oblique projectors. Zbl 1225.65046
Stewart, G. W.
10
2011
A second order perturbation expansion for small singular values. Zbl 0532.15008
Stewart, G. W.
10
1984
On the solution of block Hessenberg systems. Zbl 0837.65014
Stewart, G. W.
10
1995
A note on generalized and hypergeneralized projectors. Zbl 1088.15027
Stewart, G. W.
10
2006
Rank degeneracy. Zbl 0579.65034
Stewart, G. W.
10
1984
The economical storage of plane rotations. Zbl 0319.65033
Stewart, G. W.
10
1976
Perturbation theory for rectangular matrix pencils. Zbl 0806.15012
Stewart, G. W.
9
1994
A parallel implementation of the QR-algorithm. Zbl 0626.65032
Stewart, G. W.
9
1987
On the weighting method for least squares problems with linear equality constraints. Zbl 0893.65024
Stewart, G. W.
9
1997
A block QR algorithm and the singular value decomposition. Zbl 0769.65012
Mathias, R.; Stewart, G. W.
8
1993
A generalization of Saad’s theorem on Rayleigh-Ritz approximations. Zbl 0982.15023
Stewart, G. W.
8
2001
On the implicit deflation of nearly singular systems of linear equations. Zbl 0475.65017
Stewart, G. W.
8
1981
Numerical methods for M/G/1 type queues. Zbl 0871.60072
Latouche, Guy; Stewart, G. W.
8
1995
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
The convergence of multipoint iterations to multiple zeros. Zbl 0292.65025
Stewart, G. W.
8
1974
Iterative regularization and MINRES. Zbl 0951.65037
Kilmer, Misha; Stewart, G. W.
7
2000
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.
7
1996
Estimating the largest eigenvalue of a positive definite matrix. Zbl 0435.65026
O’Leary, Dianne P.; Stewart, G. W.; Vandergraft, James S.
7
1979
Block Gram-Schmidt orthogonalization. Zbl 1185.65069
Stewart, G. W.
7
2008
Some iterations for factoring polynomials. Zbl 0181.17401
Stewart, G. W.
7
1969
Modifying pivot elements in Gaussian elimination. Zbl 0293.65015
Stewart, G. W.
7
1974
On hyperbolic triangularization: Stability and pivoting. Zbl 0948.65027
Stewart, Michael; Stewart, G. W.
7
1998
The behavior of a multiplicity independent root-finding scheme in the presence of error. Zbl 0475.65026
Stewart, G. W.
6
1980
On a Rayleigh-Ritz refinement technique for nearly uncoupled stochastic matrices. Zbl 0539.65018
McAllister, D. F.; Stewart, G. W.; Stewart, W. J.
6
1984
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 new relative perturbation theorem for singular subspaces. Zbl 0962.15012
Li, Ren-Cang; Stewart, G. W.
6
2000
A note on the perturbation of singular values. Zbl 0421.15018
Stewart, G. W.
6
1979
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
Algorithm 776: SRRIT: A Fortran subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix. Zbl 0912.65029
Bai, Zhaojun; Stewart, G. W.
6
1997
Updating URV decompositions in parallel. Zbl 0792.65015
Stewart, G. W.
6
1994
On a direct method for the solution of nearly uncoupled Markov chains. Zbl 0697.65016
Stewart, G. W.; Zhang, G.
6
1991
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.
5
1998
An Elsner-like perturbation theorem for generalized eigenvalues. Zbl 1067.15016
Stewart, G. W.
5
2004
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
Gaussian elimination, perturbation theory, and Markov chains. Zbl 0789.65102
Stewart, G. W.
5
1993
On the sensitivity of nearly uncoupled Markov chains. Zbl 0736.60059
Stewart, G. W.
4
1991
A bibliographical tour of the large, sparse generalized eigenvalue problem. Zbl 0343.65013
Stewart, G. W.
4
1976
Collinearity and least squares regression. With discussion. Zbl 0955.62605
Stewart, G. W.
4
1987
Determining rank in the presence of error. Zbl 0813.65065
Stewart, G. W.
4
1993
On graded QR decompositions of products of matrices. Zbl 0855.65036
Stewart, G. W.
4
1995
Research, development, and LINPACK. Zbl 0407.68027
Stewart, G. W.
4
1977
Perturbation theory for the generalized eigenvalue problem. Zbl 0457.65022
Stewart, G. W.
4
1978
Error analysis of the algorithm for shifting the zeros of a polynomial by synthetic division. Zbl 0219.65042
Stewart, G. W. III
4
1971
An iterative method for solving linear inequalities. Zbl 0721.65033
Stewart, G. W.
4
1990
Numerical linear algebra in statistical computing. Zbl 0615.65048
Higham, N. J.; Stewart, G. W.
3
1987
A method for computing the generalized singular value decomposition. Zbl 0513.65015
Stewart, G. W.
3
1983
Methods of simultaneous iteration for calculating eigenvectors of matrices. Zbl 0353.65020
Stewart, G. W.
3
1975
An efficient algorithm for computing the generalized null space decomposition. Zbl 1327.65072
Guglielmi, Nicola; Overton, Michael L.; Stewart, G. W.
11
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.
7
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.
224
2001
A Krylov–Schur algorithm for large eigenproblems. Zbl 1003.65045
Stewart, G. W.
100
2001
An analysis of the Rayleigh-Ritz method for approximating eigenspaces. Zbl 0968.65020
Jia, Zhongxiao; Stewart, G. W.
49
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.
7
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.
30
1999
The QLP approximation to the singular value decomposition. Zbl 0939.65062
Stewart, G. W.
18
1999
Matrix algorithms. Vol. 1: Basic decompositions. Zbl 0910.65012
Stewart, G. W.
108
1998
Afternotes goes to graduate school. Lectures on advanced numerical analysis. Zbl 0898.65001
Stewart, G. W.
15
1998
On hyperbolic triangularization: Stability and pivoting. Zbl 0948.65027
Stewart, Michael; Stewart, G. W.
7
1998
On the adjugate matrix. Zbl 0935.65015
Stewart, G. W.
5
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.
29
1997
On the perturbation of \(LU\) and Cholesky factors. Zbl 0876.65016
Stewart, G. W.
12
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.
6
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.
7
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.
10
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.
9
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
Updating URV decompositions in parallel. Zbl 0792.65015
Stewart, G. W.
6
1994
On the convergence of multipoint iterations. Zbl 0815.65063
Stewart, G. W.
3
1994
UTV decompositions. Zbl 0796.65024
Stewart, G. W.
1
1994
On the early history of the singular value decomposition. Zbl 0799.01016
Stewart, G. W.
72
1993
Updating a rank-revealing ULV decomposition. Zbl 0771.65021
Stewart, G. W.
27
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.
8
1993
Gaussian elimination, perturbation theory, and Markov chains. Zbl 0789.65102
Stewart, G. W.
5
1993
Determining rank in the presence of error. Zbl 0813.65065
Stewart, G. W.
4
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.
6
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
421
1990
Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices. Zbl 0716.65033
O’Leary, D. P.; Stewart, G. W.
28
1990
Stochastic perturbation theory. Zbl 0722.15002
Stewart, G. W.
22
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.
35
1989
Derivatives and perturbations of eigenvectors. Zbl 0646.15005
Meyer, Carl D.; Stewart, G. W.
34
1988
A generalization of the Eckart-Young-Mirsky matrix approximation theorem. Zbl 0623.15020
Golub, G. H.; Hoffman, Alan; Stewart, G. W.
43
1987
Collinearity and least squares regression. Zbl 0643.62049
Stewart, G. W.
23
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.
4
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.
18
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.
2
1985
A second order perturbation expansion for small singular values. Zbl 0532.15008
Stewart, G. W.
10
1984
Rank degeneracy. Zbl 0579.65034
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.
6
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.
34
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.
153
1980
The efficient generation of random orthogonal matrices with an application to condition estimators. (With mircofiche section). Zbl 0443.65027
Stewart, G. W.
64
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.
52
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.
28
1979
The effects of rounding error on an algorithm for downdating a Cholesky factorization. Zbl 0405.65019
Stewart, G. W.
24
1979
Estimating the largest eigenvalue of a positive definite matrix. Zbl 0435.65026
O’Leary, Dianne P.; Stewart, G. W.; Vandergraft, James S.
7
1979
A note on the perturbation of singular values. Zbl 0421.15018
Stewart, G. W.
6
1979
Sparse matrix proceedings 1978. Zbl 0401.00013
2
1979
Perturbation theory for the generalized eigenvalue problem. Zbl 0457.65022
Stewart, G. W.
4
1978
On the Householder Fox algorithm for decomposing a projection. Zbl 0395.65009
Moler, Cleve B.; Stewart, G. W.
3
1978
On the perturbation of pseudoinverses, projections and linear least squares problems. Zbl 0379.65021
Stewart, G. W.
119
1977
Perturbation bounds for the QR factorization of a matrix. Zbl 0358.65038
Stewart, G. W.
41
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.
135
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
all top 5

Cited by 4,194 Authors

54 Wei, Yimin
40 Li, Rencang
32 Jia, Zhongxiao
31 Stewart, Gilbert Wright
30 Van Dooren, Paul M.
29 Benner, Peter
26 Pan, Victor Yakovlevich
22 Reichel, Lothar
21 Kressner, Daniel
21 Lin, Wen-Wei
20 Simoncini, Valeria
20 Sun, Jiguang
20 Wu, Gang
18 Dopico, Froilán M.
18 Jbilou, Khalide
18 Wei, Musheng
17 Nakatsukasa, Yuji
15 Barlow, Jesse L.
15 Higham, Nicholas J.
15 Mehrmann, Volker
14 Bai, Zhaojun
14 Petkov, Petko Hr.
14 Saad, Yousef
13 Galántai, Aurél
13 Li, Hanyu
13 Zhang, Lei-Hong
12 Chen, Xiaoshan
12 Golub, Gene Howard
12 Konstantinov, Mikhail Mikhajlov
12 Paige, Christopher C.
12 Sadkane, Miloud
11 Hochstenbach, Michiel E.
11 Liu, Qiaohua
11 Meerbergen, Karl
11 Neumann, Michael
11 O’Leary, Dianne P.
11 Vandebril, Raf
10 Dax, Achiya
10 Demmel, James Weldon
10 Diao, Huaian
10 Laub, Alan J.
10 Li, Wen
10 Román, Jose E.
10 Stanimirović, Predrag S.
9 Dai, Hua
9 Dongarra, Jack J.
9 Faßbender, Heike
9 Guglielmi, Nicola
9 Hansen, Per Christian
9 Quintana-Ortí, Enrique S.
9 Truhar, Ninoslav
9 Van Huffel, Sabine
9 Zlatev, Zahari
8 Bunch, James R.
8 Dehghan Takht Fooladi, Mehdi
8 Fan, Jinyan
8 Ipsen, Ilse C. F.
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 Soleymani, Fazlollah
8 Watkins, David S.
8 Zheng, Bing
7 Absil, Pierre-Antoine
7 Benítez Lopez, Julio
7 Bini, Dario Andrea
7 Chang, Xiaowen
7 Chen, Guoliang
7 Drineas, Petros
7 Drmač, Zlatko
7 Farooq, Aamir
7 Fasi, Massimiliano
7 Ferreira, Orizon Pereira
7 Gemignani, Luca
7 Howlett, Phil G.
7 Jarlebring, Elias
7 Kirkland, Stephen J.
7 Lu, Linzhang
7 Miyajima, Shinya
7 Morgan, Ronald B.
7 Ruhe, Axel
7 Samar, Mahvish
7 Spedicato, Emilio
7 Stykel, Tatjana
7 Wang, Xiang
7 Yang, Hu
7 Zhou, Yunkai
6 Albrecht, Amie R.
6 Bhatia, Rajendra
6 Björck, Åke
6 Bojanczyk, Adam W.
6 Bouhamidi, Abderrahman
6 Byers, Ralph
6 Christov, Nicolai D.
6 Chu, King-Wah Eric
6 Duan, Guangren
...and 4,094 more Authors
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Cited in 424 Serials

498 Linear Algebra and its Applications
150 Journal of Computational and Applied Mathematics
107 Numerische Mathematik
105 SIAM Journal on Matrix Analysis and Applications
102 Applied Mathematics and Computation
90 BIT
78 Computers & Mathematics with Applications
78 Numerical Linear Algebra with Applications
71 Mathematics of Computation
70 Numerical Algorithms
70 SIAM Journal on Scientific Computing
66 Journal of Computational Physics
61 International Journal of Control
58 Applied Numerical Mathematics
51 Automatica
45 Computer Methods in Applied Mechanics and Engineering
45 Journal of Optimization Theory and Applications
38 Linear and Multilinear Algebra
36 International Journal of Computer Mathematics
32 Computing
32 Systems & Control Letters
28 Journal of Scientific Computing
28 Mathematical Programming. Series A. Series B
26 Journal of Fluid Mechanics
26 Computational Statistics and Data Analysis
24 International Journal of Systems Science
21 Applied Mathematics Letters
21 Computational Optimization and Applications
20 The Annals of Statistics
19 Journal of Mathematical Analysis and Applications
19 Numerical Functional Analysis and Optimization
18 Journal of the Franklin Institute
18 Calcolo
18 International Journal for Numerical Methods in Engineering
18 Mathematical and Computer Modelling
15 Mathematical Programming
15 European Journal of Operational Research
15 Computational and Applied Mathematics
13 Computer Physics Communications
13 Japan Journal of Industrial and Applied Mathematics
12 Applied Mathematical Modelling
11 Journal of Econometrics
11 Mathematics and Computers in Simulation
11 Theoretical Computer Science
11 Circuits, Systems, and Signal Processing
11 Journal of Applied Mathematics and Computing
11 BIT. Nordisk Tidskrift for Informationsbehandling
10 SIAM Journal on Algebraic and Discrete Methods
10 Communications in Statistics. Theory and Methods
10 Applied and Computational Harmonic Analysis
10 Advances in Computational Mathematics
9 Inverse Problems
9 Journal of Soviet Mathematics
9 Physica D
9 Journal of Global Optimization
9 Journal of Statistical Computation and Simulation
9 SIAM Journal on Optimization
9 Foundations of Computational Mathematics
8 Acta Mechanica
8 Journal of Mathematical Physics
8 Journal of Multivariate Analysis
8 Kybernetika
8 SIAM Review
8 Journal of Mathematical Imaging and Vision
8 Journal of Difference Equations and Applications
8 Mathematical Problems in Engineering
8 Electronic Journal of Statistics
7 Computer Aided Geometric Design
7 Optimization
7 Journal of Mathematical Sciences (New York)
7 International Journal of Computer Vision
7 Optimization Methods & Software
7 Science China. Mathematics
6 Mathematical Biosciences
6 ACM Transactions on Mathematical Software
6 Proceedings of the American Mathematical Society
6 Operations Research Letters
6 Journal of Complexity
6 Communications in Statistics. Simulation and Computation
6 Cybernetics and Systems Analysis
6 Physics of Fluids
6 ETNA. Electronic Transactions on Numerical Analysis
6 Journal of Machine Learning Research (JMLR)
5 Applicable Analysis
5 Computers and Fluids
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Integral Equations and Operator Theory
5 Journal of Computer and System Sciences
5 Statistics & Probability Letters
5 Applied Mathematics and Mechanics. (English Edition)
5 Computers & Operations Research
5 MCSS. Mathematics of Control, Signals, and Systems
5 Annals of Operations Research
5 Multidimensional Systems and Signal Processing
5 Applications of Mathematics
5 Pattern Recognition
5 Methodology and Computing in Applied Probability
5 Journal of Applied Mathematics
5 Multiscale Modeling & Simulation
5 The Annals of Applied Statistics
...and 324 more Serials
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Cited in 58 Fields

2,078 Numerical analysis (65-XX)
1,112 Linear and multilinear algebra; matrix theory (15-XX)
363 Systems theory; control (93-XX)
298 Operations research, mathematical programming (90-XX)
252 Statistics (62-XX)
173 Computer science (68-XX)
128 Fluid mechanics (76-XX)
127 Operator theory (47-XX)
122 Probability theory and stochastic processes (60-XX)
120 Partial differential equations (35-XX)
101 Ordinary differential equations (34-XX)
78 Mechanics of deformable solids (74-XX)
74 Calculus of variations and optimal control; optimization (49-XX)
72 Information and communication theory, circuits (94-XX)
53 Biology and other natural sciences (92-XX)
48 Approximations and expansions (41-XX)
43 Dynamical systems and ergodic theory (37-XX)
39 Quantum theory (81-XX)
37 Combinatorics (05-XX)
36 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
33 Functions of a complex variable (30-XX)
29 Statistical mechanics, structure of matter (82-XX)
26 Mechanics of particles and systems (70-XX)
24 Optics, electromagnetic theory (78-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
21 Classical thermodynamics, heat transfer (80-XX)
20 Real functions (26-XX)
20 Integral equations (45-XX)
19 Geophysics (86-XX)
18 Field theory and polynomials (12-XX)
17 Difference and functional equations (39-XX)
17 Functional analysis (46-XX)
15 Differential geometry (53-XX)
14 Global analysis, analysis on manifolds (58-XX)
10 Special functions (33-XX)
9 Geometry (51-XX)
8 Algebraic geometry (14-XX)
7 History and biography (01-XX)
7 Number theory (11-XX)
7 Commutative algebra (13-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)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Nonassociative rings and algebras (17-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-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)

Citations by Year

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