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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: 144 Publications since 1967, including 9 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

129 Publications have been cited 4,149 times in 3,312 Documents Cited by Year
Matrix perturbation theory. Zbl 0706.65013
Stewart, Gilbert W.; Sun, Ji-guang
687
1990
Introduction to matrix computations. Zbl 0302.65021
Stewart, G. W.
434
1973
Algorithm 432: Solution of the matrix equation \(AX + XB = C\). Zbl 1372.65121
Bartels, R. H.; Stewart, G. W.
365
1972
Matrix algorithms. Vol. 2: Eigensystems. Zbl 0984.65031
Stewart, G. W.
214
2001
An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019
Moler, C. B.; Stewart, G. W.
211
1973
LINPACK, users’ guide. 2nd printing. Zbl 0476.68025
Dongarra, J. J.; Bunch, J. R.; Moler, C. B.; Stewart, G. W.
208
1980
Error and perturbation bounds for subspaces associated with certain eigenvalue problems. Zbl 0297.65030
Stewart, G. W.
158
1973
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.
127
1976
On the perturbation of pseudoinverses, projections and linear least squares problems. Zbl 0379.65021
Stewart, G. W.
106
1977
Matrix algorithms. Vol. 1: Basic decompositions. Zbl 0910.65012
Stewart, G. W.
99
1998
A Krylov–Schur algorithm for large eigenproblems. Zbl 1003.65045
Stewart, G. W.
77
2001
On the continuity of the generalized inverse. Zbl 0172.03801
Stewart, G. W.
73
1969
On the sensitivity of the eigenvalue problem A\(x\) = \(\lambda Bx\). Zbl 0252.65026
Stewart, G. W.
65
1972
The efficient generation of random orthogonal matrices with an application to condition estimators. (With mircofiche section). Zbl 0443.65027
Stewart, G. W.
60
1980
On the early history of the singular value decomposition. Zbl 0799.01016
Stewart, G. W.
59
1993
Perturbation bounds for the definite generalized eigenvalue problem. Zbl 0407.15012
Stewart, G. W.
48
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.
48
1979
An analysis of the Rayleigh-Ritz method for approximating eigenspaces. Zbl 0968.65020
Jia, Zhongxiao; Stewart, G. W.
45
2001
Perturbation bounds for the QR factorization of a matrix. Zbl 0358.65038
Stewart, G. W.
41
1977
A generalization of the Eckart-Young-Mirsky matrix approximation theorem. Zbl 0623.15020
Golub, G. H.; Hoffman, Alan; Stewart, G. W.
37
1987
Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices. Zbl 0328.65025
Stewart, G. W.
37
1976
On scaled projections and pseudoinverses. Zbl 0658.15003
Stewart, G. W.
34
1989
A modification of Davidon’s minimization method to accept difference approximations of derivatives. Zbl 0239.65056
Stewart, G. W. III
32
1967
Computing the CS decomposition of a partitioned orthonormal matrix. Zbl 0516.65016
Stewart, G. W.
31
1982
Derivatives and perturbations of eigenvectors. Zbl 0646.15005
Meyer, Carl D.; Stewart, G. W.
30
1988
Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices. Zbl 0716.65033
O’Leary, D. P.; Stewart, G. W.
26
1990
Gershgorin theory for the generalized eigenvalue problem \(AX=\lambda BX\). Zbl 0302.65028
Stewart, G. W.
26
1975
Four algorithms for the the efficient computation of truncated pivoted QR approximations to a sparse matrix. Zbl 0957.65031
Stewart, G. W.
25
1999
An algorithm for computing reducing subspaces by block diagonalization. Zbl 0413.65034
Bavely, Connice A.; Stewart, G. W.
25
1979
Error bounds for approximate invariant subspaces of closed linear operators. Zbl 0232.47010
Stewart, G. W.
25
1971
Updating a rank-revealing ULV decomposition. Zbl 0771.65021
Stewart, G. W.
24
1993
Perturbation analyses for the QR factorization. Zbl 0876.15010
Chang, Xiao-Wen; Paige, Christopher C.; Stewart, G. W.
23
1997
On the numerical properties of an iterative method for computing the Moore-Penrose generalized inverse. Zbl 0241.65038
Söderstrom, Torsten; Stewart, G. W.
23
1974
Conjugate direction methods for solving systems of linear equations. Zbl 0253.65017
Stewart, G. W.
23
1973
On the perturbation of LU, Cholesky, and QR factorizations. Zbl 0785.65017
Stewart, G. W.
21
1993
The effects of rounding error on an algorithm for downdating a Cholesky factorization. Zbl 0405.65019
Stewart, G. W.
21
1979
Stochastic perturbation theory. Zbl 0722.15002
Stewart, G. W.
20
1990
Collinearity and least squares regression. Zbl 0643.62049
Stewart, G. W.
20
1987
The Laurent expansion of pencils that are singular at the origin. Zbl 0813.15008
Schweitzer, Paul; Stewart, G. W.
18
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.
15
1999
A Jacobi-like algorithm for computing the Schur decomposition of a nonhermitian matrix. Zbl 0601.65024
Stewart, G. W.
15
1985
Computable error bounds for aggregated Markov chains. Zbl 0523.60062
Stewart, G. W.
13
1983
Afternotes goes to graduate school. Lectures on advanced numerical analysis. Zbl 0898.65001
Stewart, G. W.
12
1998
On the perturbation of \(LU\) and Cholesky factors. Zbl 0876.65016
Stewart, G. W.
12
1997
New perturbation analyses for the Cholesky factorization. Zbl 0861.65020
Chang, Xiao-Wen; Paige, Christopher C.; Stewart, G. W.
12
1996
Accelerating the orthogonal iteration for the eigenvectors of a Hermitian matrix. Zbl 0185.40203
Stewart, G. W.
11
1969
On the numerical analysis of oblique projectors. Zbl 1225.65046
Stewart, G. W.
10
2011
A note on generalized and hypergeneralized projectors. Zbl 1088.15027
Stewart, G. W.
10
2006
A stable variant of the secant method for solving nonlinear equations. Zbl 0359.65045
Gragg, W. B.; Stewart, G. W.
10
1976
The economical storage of plane rotations. Zbl 0319.65033
Stewart, G. W.
10
1976
An efficient algorithm for computing the generalized null space decomposition. Zbl 1327.65072
Guglielmi, Nicola; Overton, Michael L.; Stewart, G. W.
9
2015
Algorithm 844: Computing sparse reduced-rank approximations to sparse matrices. Zbl 1070.65539
Berry, Michael W.; Pulatova, Shakhina A.; Stewart, G. W.
9
2005
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
Rank degeneracy. Zbl 0579.65034
Stewart, G. W.
9
1984
A second order perturbation expansion for small singular values. Zbl 0532.15008
Stewart, G. W.
9
1984
A generalization of Saad’s theorem on Rayleigh-Ritz approximations. Zbl 0982.15023
Stewart, G. W.
8
2001
On the weighting method for least squares problems with linear equality constraints. Zbl 0893.65024
Stewart, G. W.
8
1997
Numerical methods for M/G/1 type queues. Zbl 0871.60072
Latouche, Guy; Stewart, G. W.
8
1995
On the solution of block Hessenberg systems. Zbl 0837.65014
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
On the implicit deflation of nearly singular systems of linear equations. Zbl 0475.65017
Stewart, G. W.
8
1981
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
On hyperbolic triangularization: Stability and pivoting. Zbl 0948.65027
Stewart, Michael; Stewart, G. W.
7
1998
Algorithm 776: SRRIT: A Fortran subroutine to calculate the dominant invariant subspace of a nonsymmetric matrix. Zbl 0912.65029
Bai, Zhaojun; Stewart, G. W.
7
1997
Estimating the largest eigenvalue of a positive definite matrix. Zbl 0435.65026
O’Leary, Dianne P.; Stewart, G. W.; Vandergraft, James S.
7
1979
Modifying pivot elements in Gaussian elimination. Zbl 0293.65015
Stewart, G. W.
7
1974
Some iterations for factoring polynomials. Zbl 0181.17401
Stewart, G. W.
7
1969
Block Gram-Schmidt orthogonalization. Zbl 1185.65069
Stewart, G. W.
6
2008
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.
6
1996
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
A block QR algorithm and the singular value decomposition. Zbl 0769.65012
Mathias, R.; Stewart, G. W.
6
1993
On a direct method for the solution of nearly uncoupled Markov chains. Zbl 0697.65016
Stewart, G. W.; Zhang, G.
6
1991
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
The behavior of a multiplicity independent root-finding scheme in the presence of error. Zbl 0475.65026
Stewart, G. W.
6
1980
A note on the perturbation of singular values. Zbl 0421.15018
Stewart, G. W.
6
1979
On a companion operator for analytic functions. Zbl 0217.52705
Stewart, G. W.
6
1971
On Lehmer’s method for finding the zeros of a polynomial. Zbl 0214.14802
Stewart, G. W. III
6
1969
A new relative perturbation theorem for singular subspaces. Zbl 0962.15012
Li, Ren-Cang; Stewart, G. W.
5
2000
Gaussian elimination, perturbation theory, and Markov chains. Zbl 0789.65102
Stewart, G. W.
5
1993
Two simple residual bounds for the eigenvalues of a Hermitian matrix. Zbl 0726.15009
Stewart, G. W.
5
1991
Eigenvalues of graded matrices and the condition numbers of a multiple eigenvalue. Zbl 0697.65027
Stewart, G. W.; Zhang, G.
5
1991
Collinearity and least squares regression. With discussion. Zbl 0955.62605
Stewart, G. W.
5
1987
On the asymptotic behavior of scaled singular value and QR decompositions. Zbl 0563.65023
Stewart, G. W.
5
1984
Research, development, and LINPACK. Zbl 0407.68027
Stewart, G. W.
5
1977
An Elsner-like perturbation theorem for generalized eigenvalues. Zbl 1067.15016
Stewart, G. W.
4
2004
On the adjugate matrix. Zbl 0935.65015
Stewart, G. W.
4
1998
On graded QR decompositions of products of matrices. Zbl 0855.65036
Stewart, G. W.
4
1995
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
A method for computing the generalized singular value decomposition. Zbl 0513.65015
Stewart, G. W.
4
1983
Perturbation theory for the generalized eigenvalue problem. Zbl 0457.65022
Stewart, G. W.
4
1978
A bibliographical tour of the large, sparse generalized eigenvalue problem. Zbl 0343.65013
Stewart, G. W.
4
1976
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 a companion operator for analytic functions. Zbl 0211.18805
Stewart, G. W.
4
1971
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
An efficient algorithm for computing the generalized null space decomposition. Zbl 1327.65072
Guglielmi, Nicola; Overton, Michael L.; Stewart, G. W.
9
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.
6
2008
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.
9
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.
4
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.
214
2001
A Krylov–Schur algorithm for large eigenproblems. Zbl 1003.65045
Stewart, G. W.
77
2001
An analysis of the Rayleigh-Ritz method for approximating eigenspaces. Zbl 0968.65020
Jia, Zhongxiao; Stewart, G. W.
45
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.
5
2000
Four algorithms for the the efficient computation of truncated pivoted QR approximations to a sparse matrix. Zbl 0957.65031
Stewart, G. W.
25
1999
The QLP approximation to the singular value decomposition. Zbl 0939.65062
Stewart, G. W.
15
1999
Matrix algorithms. Vol. 1: Basic decompositions. Zbl 0910.65012
Stewart, G. W.
99
1998
Afternotes goes to graduate school. Lectures on advanced numerical analysis. Zbl 0898.65001
Stewart, G. W.
12
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.
4
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.
23
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.
8
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.
7
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.
6
1996
Rounding errors in solving block Hessenberg systems. Zbl 0848.65011
von Matt, Urs; Stewart, G. W.
2
1996
Numerical methods for M/G/1 type queues. Zbl 0871.60072
Latouche, Guy; Stewart, G. W.
8
1995
On the solution of block Hessenberg systems. Zbl 0837.65014
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.
59
1993
Updating a rank-revealing ULV decomposition. Zbl 0771.65021
Stewart, G. W.
24
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.
18
1993
A block QR algorithm and the singular value decomposition. Zbl 0769.65012
Mathias, R.; Stewart, G. W.
6
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.
3
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
Two simple residual bounds for the eigenvalues of a Hermitian matrix. Zbl 0726.15009
Stewart, G. W.
5
1991
Eigenvalues of graded matrices and the condition numbers of a multiple eigenvalue. Zbl 0697.65027
Stewart, G. W.; Zhang, G.
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
687
1990
Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices. Zbl 0716.65033
O’Leary, D. P.; Stewart, G. W.
26
1990
Stochastic perturbation theory. Zbl 0722.15002
Stewart, G. W.
20
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.
34
1989
Derivatives and perturbations of eigenvectors. Zbl 0646.15005
Meyer, Carl D.; Stewart, G. W.
30
1988
A generalization of the Eckart-Young-Mirsky matrix approximation theorem. Zbl 0623.15020
Golub, G. H.; Hoffman, Alan; Stewart, G. W.
37
1987
Collinearity and least squares regression. Zbl 0643.62049
Stewart, G. W.
20
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.
5
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
Rank degeneracy. Zbl 0579.65034
Stewart, G. W.
9
1984
A second order perturbation expansion for small singular values. Zbl 0532.15008
Stewart, G. W.
9
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.
5
1984
On the invariance of perturbed null vectors under column scaling. Zbl 0579.65033
Stewart, G. W.
2
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.
4
1983
Computing the CS decomposition of a partitioned orthonormal matrix. Zbl 0516.65016
Stewart, G. W.
31
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.
208
1980
The efficient generation of random orthogonal matrices with an application to condition estimators. (With mircofiche section). Zbl 0443.65027
Stewart, G. W.
60
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.
48
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.
48
1979
An algorithm for computing reducing subspaces by block diagonalization. Zbl 0413.65034
Bavely, Connice A.; Stewart, G. W.
25
1979
The effects of rounding error on an algorithm for downdating a Cholesky factorization. Zbl 0405.65019
Stewart, G. W.
21
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
Duff, Iain S. (ed.); Stewart, G. W. (ed.)
3
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.
106
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.
5
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.
127
1976
Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices. Zbl 0328.65025
Stewart, G. W.
37
1976
A stable variant of the secant method for solving nonlinear equations. Zbl 0359.65045
Gragg, W. B.; Stewart, G. W.
10
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
Gershgorin theory for the generalized eigenvalue problem \(AX=\lambda BX\). Zbl 0302.65028
Stewart, G. W.
26
1975
...and 29 more Documents
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Cited by 4,339 Authors

53 Wei, Yimin
43 Li, Rencang
34 Stewart, Gilbert Wright
32 Benner, Peter
30 Jia, Zhongxiao
28 Van Dooren, Paul M.
27 Lin, Wen-Wei
25 Pan, Victor Yakovlevich
22 Kressner, Daniel
22 Sun, Jiguang
21 Reichel, Lothar
19 Jbilou, Khalide
19 Mehrmann, Volker
19 Wei, Musheng
19 Wu, Gang
18 Dopico, Froilán M.
18 Higham, Nicholas J.
18 Simoncini, Valeria
17 Nakatsukasa, Yuji
17 Sadkane, Miloud
16 Truhar, Ninoslav
15 Golub, Gene Howard
15 Li, Wen
14 Barlow, Jesse L.
14 Saad, Yousef
13 Chen, Xiaoshan
13 Galántai, Aurél
13 Petkov, Petko Hr.
12 Bai, Zhaojun
12 O’Leary, Dianne P.
12 Van Huffel, Sabine
12 Zhang, Lei-Hong
11 Benítez Lopez, Julio
11 Demmel, James Weldon
11 Diao, Huaian
11 Ipsen, Ilse C. F.
11 Konstantinov, Mikhail Mikhajlov
11 Neumann, Michael
10 Dax, Achiya
10 Li, Hanyu
10 Román, Jose E.
10 Vandebril, Raf
10 Watkins, David S.
10 Zlatev, Zahari
9 Bunch, James R.
9 Ding, Jiu
9 Faßbender, Heike
9 Hochstenbach, Michiel E.
9 Laub, Alan J.
9 Meerbergen, Karl
9 Paige, Christopher C.
9 Plemmons, Robert James
9 Quintana-Ortí, Enrique S.
9 Rodman, Leiba X.
9 Tisseur, Françoise
8 Chen, Guoliang
8 Dai, Hua
8 Dongarra, Jack J.
8 Elsner, Ludwig F.
8 Fan, Jinyan
8 Kublanovskaya, Vera Nikolaevna
8 Kürschner, Patrick
8 Meini, Beatrice
8 Morgan, Ronald B.
8 Parlett, Beresford Neill
8 Qiao, Sanzheng
8 Ruhe, Axel
8 Soleymani, Fazlollah
8 Zhou, Yunkai
7 Bhatia, Rajendra
7 Bini, Dario Andrea
7 Björck, Åke
7 Bouhamidi, Abderrahman
7 Byers, Ralph
7 Chang, Xiaowen
7 Drineas, Petros
7 Erbay, Hasan
7 Ferreira, Orizon Pereira
7 Guglielmi, Nicola
7 Hansen, Per Christian
7 Howlett, Phil G.
7 Liu, Qiaohua
7 Lu, Linzhang
7 Miyajima, Shinya
7 Robol, Leonardo
7 Sameh, Ahmed H.
7 Slapničar, Ivan
7 Spedicato, Emilio
7 Stanimirović, Predrag S.
7 Veselić, Krešimir
7 Vong, Seakweng
7 Wang, Weiguo
7 Ye, Qiang
7 Ziętak, Krystyna
6 Albrecht, Amie R.
6 Bojanczyk, Adam W.
6 Christov, Nicolai D.
6 Chu, King-Wah Eric
6 Cucker, Felipe
6 Drmač, Zlatko
...and 4,239 more Authors
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Cited in 393 Serials

589 Linear Algebra and its Applications
169 Journal of Computational and Applied Mathematics
112 Applied Mathematics and Computation
107 Numerische Mathematik
88 BIT
81 SIAM Journal on Matrix Analysis and Applications
78 Numerical Linear Algebra with Applications
77 Computers & Mathematics with Applications
72 Automatica
71 Mathematics of Computation
67 Journal of Computational Physics
65 Numerical Algorithms
61 International Journal of Control
58 Applied Numerical Mathematics
52 SIAM Journal on Scientific Computing
47 Computer Methods in Applied Mechanics and Engineering
43 Journal of Optimization Theory and Applications
38 Systems & Control Letters
33 Linear and Multilinear Algebra
32 Computing
32 International Journal of Computer Mathematics
29 Computational Statistics and Data Analysis
26 Applied Mathematics Letters
26 Mathematical Programming. Series A. Series B
25 Journal of Mathematical Analysis and Applications
24 International Journal of Systems Science
24 Mathematical and Computer Modelling
23 Journal of Scientific Computing
22 Journal of Fluid Mechanics
21 Computational Optimization and Applications
20 Journal of the Franklin Institute
20 The Annals of Statistics
19 Numerical Functional Analysis and Optimization
18 International Journal for Numerical Methods in Engineering
16 European Journal of Operational Research
16 Applied and Computational Harmonic Analysis
15 Mathematical Programming
14 Computer Physics Communications
14 Calcolo
13 Journal of Econometrics
13 Theoretical Computer Science
13 Physica D
12 Japan Journal of Industrial and Applied Mathematics
12 Applied Mathematical Modelling
11 Circuits, Systems, and Signal Processing
11 BIT. Nordisk Tidskrift for Informationsbehandling
10 Journal of Multivariate Analysis
10 Mathematics and Computers in Simulation
10 SIAM Journal on Algebraic and Discrete Methods
10 Pattern Recognition
10 Computational and Applied Mathematics
9 Journal of Soviet Mathematics
9 Journal of Complexity
9 Journal of Global Optimization
9 Journal of Statistical Computation and Simulation
9 Advances in Computational Mathematics
8 Acta Mechanica
8 Inverse Problems
8 Kybernetika
8 Communications in Statistics. Theory and Methods
8 SIAM Journal on Optimization
8 Journal of Difference Equations and Applications
8 Mathematical Problems in Engineering
8 Foundations of Computational Mathematics
8 Electronic Journal of Statistics
7 Journal of Mathematical Physics
7 Mathematical Biosciences
7 Computer Aided Geometric Design
7 Optimization
7 Optimization Methods & Software
7 Journal of Applied Mathematics and Computing
7 Science China. Mathematics
6 ACM Transactions on Mathematical Software
6 Proceedings of the American Mathematical Society
6 Statistics & Probability Letters
6 Operations Research Letters
6 SIAM Review
6 Cybernetics and Systems Analysis
6 Physics of Fluids
6 Journal of Mathematical Sciences (New York)
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 Applied Mathematics and Mechanics. (English Edition)
5 MCSS. Mathematics of Control, Signals, and Systems
5 Annals of Operations Research
5 Multidimensional Systems and Signal Processing
5 Applications of Mathematics
5 Communications in Statistics. Simulation and Computation
5 Journal of Mathematical Imaging and Vision
5 International Journal of Computer Vision
5 ETNA. Electronic Transactions on Numerical Analysis
5 Journal of Applied Mathematics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Multiscale Modeling & Simulation
5 Statistics and Computing
4 Journal of Approximation Theory
4 Journal of Statistical Planning and Inference
...and 293 more Serials
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Cited in 58 Fields

2,057 Numerical analysis (65-XX)
1,133 Linear and multilinear algebra; matrix theory (15-XX)
391 Systems theory; control (93-XX)
300 Operations research, mathematical programming (90-XX)
250 Statistics (62-XX)
154 Computer science (68-XX)
127 Operator theory (47-XX)
124 Fluid mechanics (76-XX)
117 Partial differential equations (35-XX)
117 Probability theory and stochastic processes (60-XX)
109 Ordinary differential equations (34-XX)
79 Mechanics of deformable solids (74-XX)
75 Calculus of variations and optimal control; optimization (49-XX)
68 Information and communication theory, circuits (94-XX)
59 Biology and other natural sciences (92-XX)
50 Approximations and expansions (41-XX)
47 Dynamical systems and ergodic theory (37-XX)
40 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
38 Quantum theory (81-XX)
33 Combinatorics (05-XX)
33 Functions of a complex variable (30-XX)
27 Statistical mechanics, structure of matter (82-XX)
26 Mechanics of particles and systems (70-XX)
25 Harmonic analysis on Euclidean spaces (42-XX)
22 Integral equations (45-XX)
22 Optics, electromagnetic theory (78-XX)
20 Real functions (26-XX)
19 Field theory and polynomials (12-XX)
19 Classical thermodynamics, heat transfer (80-XX)
19 Geophysics (86-XX)
18 Difference and functional equations (39-XX)
16 Functional analysis (46-XX)
13 Differential geometry (53-XX)
13 Global analysis, analysis on manifolds (58-XX)
11 Special functions (33-XX)
9 Number theory (11-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)
6 Algebraic geometry (14-XX)
5 Commutative algebra (13-XX)
5 Astronomy and astrophysics (85-XX)
4 General and overarching topics; collections (00-XX)
4 Mathematical logic and foundations (03-XX)
4 Group theory and generalizations (20-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
2 Associative rings and algebras (16-XX)
2 Nonassociative rings and algebras (17-XX)
2 Topological groups, Lie groups (22-XX)
2 Sequences, series, summability (40-XX)
2 General topology (54-XX)
1 General algebraic systems (08-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)

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