Edit Profile (opens in new tab) Stewart, Gilbert Wright Co-Author Distance Author ID: stewart.gilbert-w Published as: Stewart, G. W.; Stewart, G. W. III; Stewart, Gilbert W. more...less 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 44 Joint Publications 1,709 Co-Co-Authors all top 5 Co-Authors 99 single-authored 7 O’Leary, Dianne P. 5 Moler, Cleve B. 2 Chang, Xiaowen 2 Golub, Gene Howard 2 Gragg, William B. 2 Higham, Nicholas John 2 Householder, Alston Scott 2 Kilmer, Misha Elena 2 McAllister, David F. 2 Paige, Christopher Conway 2 Stewart, William J. 2 Zhang, Guodong 1 Bai, Zhaojun 1 Bartels, Richard Harold 1 Bavely, Connice A. 1 Berry, Michael W. 1 Björk, Åke 1 Blevins, M. M. 1 Chan, Raymond Hon-Fu 1 Cline, Alan K. 1 Daniel, James W. 1 Dongarra, Jack J. 1 Duff, Iain S. 1 Edelman, Alan Stuart 1 Faßbender, Heike 1 Gautschi, Walter 1 Gill, Philip E. 1 Greenbaum, Anne 1 Greif, Chen 1 Griebel, Michael 1 Guglielmi, Nicola 1 Hoffman, Alan J. 1 Holtz, Olga 1 Jia, Zhongxiao 1 Kaufman, Linda 1 Latouche, Guy 1 Li, Rencang 1 Lick, Dale W. 1 Meyer, Carl Dean jun. 1 Murray, Walter 1 Overton, Michael L. 1 Pulatova, Shakhina A. 1 Saunders, Michael A. 1 Söderström, Torsten 1 Stewart, Michael I. 1 Sun, Jiguang 1 Vandergraft, James S. 1 von Matt, Urs 1 Wilkinson, James Hardy 1 Wright, Margaret H. 1 Zenger, Christoph all top 5 Serials 20 Numerische Mathematik 18 Linear Algebra and its Applications 12 SIAM Journal on Matrix Analysis and Applications 11 Mathematics of Computation 11 SIAM Journal on Numerical Analysis 6 SIAM Review 4 Communications of the ACM 3 IMA Journal of Numerical Analysis 3 ACM Transactions on Mathematical Software 3 Journal of the Association for Computing Machinery 3 SIAM Journal on Scientific and Statistical Computing 3 Parallel Computing 3 SIAM Journal on Scientific Computing 2 Journal of Computational Physics 2 Mathematical Programming 2 Statistical Science 2 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of the Institute of Mathematics and its Applications 1 BIT 1 Communications in Statistics. Stochastic Models 1 IEEE Transactions on Signal Processing 1 SIAM Journal on Applied Mathematics 1 Numerical Linear Algebra with Applications 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Other Titles in Applied Mathematics 1 Contemporary Mathematicians all top 5 Fields 112 Numerical analysis (65-XX) 56 Linear and multilinear algebra; matrix theory (15-XX) 10 Probability theory and stochastic processes (60-XX) 6 Statistics (62-XX) 5 History and biography (01-XX) 5 Computer science (68-XX) 5 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 130 Publications have been cited 5,431 times in 4,350 Documents Cited by ▼ Year ▼ Matrix perturbation theory. Zbl 0706.65013 Stewart, Gilbert W.; Sun, Ji-guang 1,067 1990 Algorithm 432: Solution of the matrix equation \(AX + XB = C\). Zbl 1372.65121 Bartels, R. H.; Stewart, G. W. 492 1972 Introduction to matrix computations. Zbl 0302.65021 Stewart, G. W. 454 1973 Matrix algorithms. Vol. 2: Eigensystems. Zbl 0984.65031 Stewart, G. W. 319 2001 An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019 Moler, C. B.; Stewart, G. W. 273 1973 Matrix algorithms. Vol. 1: Basic decompositions. Zbl 0910.65012 Stewart, G. W. 178 1998 Error and perturbation bounds for subspaces associated with certain eigenvalue problems. Zbl 0297.65030 Stewart, G. W. 177 1973 LINPACK, users’ guide. 2nd printing. Zbl 0476.68025 Dongarra, J. J.; Bunch, J. R.; Moler, C. B.; Stewart, G. W. 168 1980 A Krylov–Schur algorithm for large eigenproblems. Zbl 1003.65045 Stewart, G. W. 163 2001 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. 150 1976 On the perturbation of pseudoinverses, projections and linear least squares problems. Zbl 0379.65021 Stewart, G. W. 136 1977 On the continuity of the generalized inverse. Zbl 0172.03801 Stewart, G. W. 101 1969 On the early history of the singular value decomposition. Zbl 0799.01016 Stewart, G. W. 100 1993 The efficient generation of random orthogonal matrices with an application to condition estimators. (With mircofiche section). Zbl 0443.65027 Stewart, G. W. 85 1980 On the sensitivity of the eigenvalue problem A\(x\) = \(\lambda Bx\). Zbl 0252.65026 Stewart, G. W. 67 1972 An analysis of the Rayleigh-Ritz method for approximating eigenspaces. Zbl 0968.65020 Jia, Zhongxiao; Stewart, G. W. 58 2001 Perturbation bounds for the definite generalized eigenvalue problem. Zbl 0407.15012 Stewart, G. W. 56 1979 A generalization of the Eckart-Young-Mirsky matrix approximation theorem. Zbl 0623.15020 Golub, G. H.; Hoffman, Alan; Stewart, G. W. 52 1987 An estimate for the condition number of a matrix. Zbl 0403.65012 Cline, A. K.; Moler, C. B.; Stewart, G. W.; Wilkinson, J. H. 52 1979 On scaled projections and pseudoinverses. Zbl 0658.15003 Stewart, G. W. 48 1989 Perturbation bounds for the QR factorization of a matrix. Zbl 0358.65038 Stewart, G. W. 44 1977 Computing the CS decomposition of a partitioned orthonormal matrix. Zbl 0516.65016 Stewart, G. W. 42 1982 Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices. Zbl 0328.65025 Stewart, G. W. 42 1976 Derivatives and perturbations of eigenvectors. Zbl 0646.15005 Meyer, Carl D.; Stewart, G. W. 40 1988 Four algorithms for the the efficient computation of truncated pivoted QR approximations to a sparse matrix. Zbl 0957.65031 Stewart, G. W. 37 1999 Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices. Zbl 0716.65033 O’Leary, D. P.; Stewart, G. W. 35 1990 Perturbation analyses for the QR factorization. Zbl 0876.15010 Chang, Xiao-Wen; Paige, Christopher C.; Stewart, G. W. 34 1997 A modification of Davidon’s minimization method to accept difference approximations of derivatives. Zbl 0239.65056 Stewart, G. W. III 34 1967 Updating a rank-revealing ULV decomposition. Zbl 0771.65021 Stewart, G. W. 34 1993 Gershgorin theory for the generalized eigenvalue problem \(AX=\lambda BX\). Zbl 0302.65028 Stewart, G. W. 32 1975 An algorithm for computing reducing subspaces by block diagonalization. Zbl 0413.65034 Bavely, Connice A.; Stewart, G. W. 32 1979 On the numerical properties of an iterative method for computing the Moore-Penrose generalized inverse. Zbl 0241.65038 Söderstrom, Torsten; Stewart, G. W. 31 1974 Collinearity and least squares regression. Zbl 0643.62049 Stewart, G. W. 29 1987 Stochastic perturbation theory. Zbl 0722.15002 Stewart, G. W. 26 1990 Error bounds for approximate invariant subspaces of closed linear operators. Zbl 0232.47010 Stewart, G. W. 25 1971 The effects of rounding error on an algorithm for downdating a Cholesky factorization. Zbl 0405.65019 Stewart, G. W. 25 1979 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. 23 1993 The QLP approximation to the singular value decomposition. Zbl 0939.65062 Stewart, G. W. 23 1999 Data-flow algorithms for parallel matrix computations. Zbl 0606.65029 O’Leary, Dianne P.; Stewart, G. W. 20 1985 The Laurent expansion of pencils that are singular at the origin. Zbl 0813.15008 Schweitzer, Paul; Stewart, G. W. 20 1993 Afternotes goes to graduate school. Lectures on advanced numerical analysis. Zbl 0898.65001 Stewart, G. W. 19 1998 A Jacobi-like algorithm for computing the Schur decomposition of a nonhermitian matrix. Zbl 0601.65024 Stewart, G. W. 16 1985 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. 16 1996 New perturbation analyses for the Cholesky factorization. Zbl 0861.65020 Chang, Xiao-Wen; Paige, Christopher C.; Stewart, G. W. 15 1996 On the perturbation of \(LU\) and Cholesky factors. Zbl 0876.65016 Stewart, G. W. 15 1997 Accelerating the orthogonal iteration for the eigenvectors of a Hermitian matrix. Zbl 0185.40203 Stewart, G. W. 14 1969 A stable variant of the secant method for solving nonlinear equations. Zbl 0359.65045 Gragg, W. B.; Stewart, G. W. 14 1976 Rank degeneracy. Zbl 0579.65034 Stewart, G. W. 13 1984 Computable error bounds for aggregated Markov chains. Zbl 0523.60062 Stewart, G. W. 13 1983 Algorithm 844: Computing sparse reduced-rank approximations to sparse matrices. Zbl 1070.65539 Berry, Michael W.; Pulatova, Shakhina A.; Stewart, G. W. 13 2005 An efficient algorithm for computing the generalized null space decomposition. Zbl 1327.65072 Guglielmi, Nicola; Overton, Michael L.; Stewart, G. W. 13 2015 Block Gram-Schmidt orthogonalization. Zbl 1185.65069 Stewart, G. W. 12 2008 A second order perturbation expansion for small singular values. Zbl 0532.15008 Stewart, G. W. 12 1984 Iterative regularization and MINRES. Zbl 0951.65037 Kilmer, Misha; Stewart, G. W. 12 2000 On the solution of block Hessenberg systems. Zbl 0837.65014 Stewart, G. W. 12 1995 Perturbation theory for rectangular matrix pencils. Zbl 0806.15012 Stewart, G. W. 12 1994 Estimating the largest eigenvalue of a positive definite matrix. Zbl 0435.65026 O’Leary, Dianne P.; Stewart, G. W.; Vandergraft, James S. 12 1979 On the numerical analysis of oblique projectors. Zbl 1225.65046 Stewart, G. W. 11 2011 A note on generalized and hypergeneralized projectors. Zbl 1088.15027 Stewart, G. W. 11 2006 A block QR algorithm and the singular value decomposition. Zbl 0769.65012 Mathias, R.; Stewart, G. W. 10 1993 The economical storage of plane rotations. Zbl 0319.65033 Stewart, G. W. 10 1976 Research, development, and LINPACK. Zbl 0407.68027 Stewart, G. W. 10 1977 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 generalization of Saad’s theorem on Rayleigh-Ritz approximations. Zbl 0982.15023 Stewart, G. W. 9 2001 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 Some iterations for factoring polynomials. Zbl 0181.17401 Stewart, G. W. 8 1969 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 hyperbolic triangularization: Stability and pivoting. Zbl 0948.65027 Stewart, Michael; Stewart, G. W. 8 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. 8 1997 On the implicit deflation of nearly singular systems of linear equations. Zbl 0475.65017 Stewart, G. W. 8 1981 On a direct method for the solution of nearly uncoupled Markov chains. Zbl 0697.65016 Stewart, G. W.; Zhang, G. 7 1991 On the asymptotic behavior of scaled singular value and QR decompositions. Zbl 0563.65023 Stewart, G. W. 7 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 Collinearity and least squares regression. With discussion. Zbl 0955.62605 Stewart, G. W. 7 1987 On Lehmer’s method for finding the zeros of a polynomial. Zbl 0214.14802 Stewart, G. W. III 7 1969 On a companion operator for analytic functions. Zbl 0217.52705 Stewart, G. W. 7 1971 Modifying pivot elements in Gaussian elimination. Zbl 0293.65015 Stewart, G. W. 7 1974 An Elsner-like perturbation theorem for generalized eigenvalues. Zbl 1067.15016 Stewart, G. W. 7 2004 A note on the perturbation of singular values. Zbl 0421.15018 Stewart, G. W. 7 1979 Eigenvalues of graded matrices and the condition numbers of a multiple eigenvalue. Zbl 0697.65027 Stewart, G. W.; Zhang, G. 6 1991 Updating URV decompositions in parallel. Zbl 0792.65015 Stewart, G. W. 6 1994 Determining rank in the presence of error. Zbl 0813.65065 Stewart, G. W. 6 1993 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 On the adjugate matrix. Zbl 0935.65015 Stewart, G. W. 6 1998 The behavior of a multiplicity independent root-finding scheme in the presence of error. Zbl 0475.65026 Stewart, G. W. 6 1980 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 Householder Fox algorithm for decomposing a projection. Zbl 0395.65009 Moler, Cleve B.; Stewart, G. W. 5 1978 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 Backword error bounds for approximate Krylov subspaces. Zbl 0994.65026 Stewart, G. W. 4 2002 UTV decompositions. Zbl 0796.65024 Stewart, G. W. 4 1994 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 Methods of simultaneous iteration for calculating eigenvectors of matrices. Zbl 0353.65020 Stewart, G. W. 4 1975 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 efficient algorithm for computing the generalized null space decomposition. Zbl 1327.65072 Guglielmi, Nicola; Overton, Michael L.; Stewart, G. W. 13 2015 On the numerical analysis of oblique projectors. Zbl 1225.65046 Stewart, G. W. 11 2011 On the semidefinite B-Arnoldi method. Zbl 1195.65047 Stewart, G. W. 2 2010 Block Gram-Schmidt orthogonalization. Zbl 1185.65069 Stewart, G. W. 12 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. 3 2007 A note on generalized and hypergeneralized projectors. Zbl 1088.15027 Stewart, G. W. 11 2006 Algorithm 844: Computing sparse reduced-rank approximations to sparse matrices. Zbl 1070.65539 Berry, Michael W.; Pulatova, Shakhina A.; Stewart, G. W. 13 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. 7 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. 4 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. 319 2001 A Krylov–Schur algorithm for large eigenproblems. Zbl 1003.65045 Stewart, G. W. 163 2001 An analysis of the Rayleigh-Ritz method for approximating eigenspaces. Zbl 0968.65020 Jia, Zhongxiao; Stewart, G. W. 58 2001 A generalization of Saad’s theorem on Rayleigh-Ritz approximations. Zbl 0982.15023 Stewart, G. W. 9 2001 On the eigensystems of graded matrices. Zbl 0999.15006 Stewart, G. W. 2 2001 Iterative regularization and MINRES. Zbl 0951.65037 Kilmer, Misha; Stewart, G. W. 12 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. 37 1999 The QLP approximation to the singular value decomposition. Zbl 0939.65062 Stewart, G. W. 23 1999 Matrix algorithms. Vol. 1: Basic decompositions. Zbl 0910.65012 Stewart, G. W. 178 1998 Afternotes goes to graduate school. Lectures on advanced numerical analysis. Zbl 0898.65001 Stewart, G. W. 19 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. 34 1997 On the perturbation of \(LU\) and Cholesky factors. Zbl 0876.65016 Stewart, G. W. 15 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 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. 16 1996 New perturbation analyses for the Cholesky factorization. Zbl 0861.65020 Chang, Xiao-Wen; Paige, Christopher C.; Stewart, G. W. 15 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. 12 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 UTV decompositions. Zbl 0796.65024 Stewart, G. W. 4 1994 On the convergence of multipoint iterations. Zbl 0815.65063 Stewart, G. W. 3 1994 On the early history of the singular value decomposition. Zbl 0799.01016 Stewart, G. W. 100 1993 Updating a rank-revealing ULV decomposition. Zbl 0771.65021 Stewart, G. W. 34 1993 On the perturbation of LU, Cholesky, and QR factorizations. Zbl 0785.65017 Stewart, G. W. 23 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. 10 1993 Determining rank in the presence of error. Zbl 0813.65065 Stewart, G. W. 6 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. 6 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 1,067 1990 Computing the eigenvalues and eigenvectors of symmetric arrowhead matrices. Zbl 0716.65033 O’Leary, D. P.; Stewart, G. W. 35 1990 Stochastic perturbation theory. Zbl 0722.15002 Stewart, G. W. 26 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. 48 1989 Derivatives and perturbations of eigenvectors. Zbl 0646.15005 Meyer, Carl D.; Stewart, G. W. 40 1988 A generalization of the Eckart-Young-Mirsky matrix approximation theorem. Zbl 0623.15020 Golub, G. H.; Hoffman, Alan; Stewart, G. W. 52 1987 Collinearity and least squares regression. Zbl 0643.62049 Stewart, G. W. 29 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. 20 1985 A Jacobi-like algorithm for computing the Schur decomposition of a nonhermitian matrix. Zbl 0601.65024 Stewart, G. W. 16 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. 13 1984 A second order perturbation expansion for small singular values. Zbl 0532.15008 Stewart, G. W. 12 1984 On the asymptotic behavior of scaled singular value and QR decompositions. Zbl 0563.65023 Stewart, G. W. 7 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 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. 4 1983 Computing the CS decomposition of a partitioned orthonormal matrix. Zbl 0516.65016 Stewart, G. W. 42 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. 85 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. 56 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. 52 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. 12 1979 A note on the perturbation of singular values. Zbl 0421.15018 Stewart, G. W. 7 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. 5 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. 136 1977 Perturbation bounds for the QR factorization of a matrix. Zbl 0358.65038 Stewart, G. W. 44 1977 Research, development, and LINPACK. Zbl 0407.68027 Stewart, G. W. 10 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. 150 1976 Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices. Zbl 0328.65025 Stewart, G. W. 42 1976 A stable variant of the secant method for solving nonlinear equations. Zbl 0359.65045 Gragg, W. B.; Stewart, G. W. 14 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 cited Publications top 5 cited Publications all top 5 Cited by 5,612 Authors 69 Wei, Yimin 56 Li, Rencang 40 Benner, Peter 40 Van Dooren, Paul M. 37 Jia, Zhongxiao 34 Stewart, Gilbert Wright 29 Dopico, Froilán M. 29 Kressner, Daniel 27 Pan, Victor Yakovlevich 27 Reichel, Lothar 26 Lin, Wen-Wei 25 Wu, Gang 24 Nakatsukasa, Yuji 24 Simoncini, Valeria 23 Jbilou, Khalide 23 Mehrmann, Volker 23 Wei, Musheng 22 Sun, Jiguang 21 Higham, Nicholas John 20 Hochstenbach, Michiel E. 20 Sadkane, Miloud 20 Truhar, Ninoslav 19 Chen, Xiaoshan 17 Bai, Zhaojun 17 Barlow, Jesse L. 17 Li, Hanyu 17 Li, Wen 17 Vandebril, Raf 17 Zhang, Lei-Hong 16 Saad, Yousef 15 Petkov, Petko Hr. 14 Golub, Gene Howard 14 Zheng, Bing 13 Benítez Lopez, Julio 13 Dax, Achiya 13 Faßbender, Heike 13 Galántai, Aurél 13 Liu, Qiaohua 13 Paige, Christopher Conway 13 Román, Jose E. 13 Stanimirović, Predrag S. 12 Diao, Huaian 12 Fan, Jinyan 12 Guglielmi, Nicola 12 Hansen, Per Christian 12 Ipsen, Ilse C. F. 12 Konstantinov, Mikhail Mikhajlov 12 Meerbergen, Karl 12 O’Leary, Dianne P. 11 Dai, Hua 11 Demmel, James Weldon 11 Neumann, Michael 11 Palitta, Davide 11 Van Huffel, Sabine 11 Watkins, David S. 10 Chen, Guoliang 10 Ding, Jiu 10 Drmač, Zlatko 10 Laub, Alan J. 10 Rodman, Leiba X. 10 Soleymani, Fazlollah 10 Wang, Xiang 9 Buccini, Alessandro 9 Dongarra, Jack J. 9 Drineas, Petros 9 Gemignani, Luca 9 Gil’, Michael Iosif 9 Heyouni, Mohammed 9 Kürschner, Patrick 9 Quintana-Ortí, Enrique S. 9 Samar, Mahvish 9 Stykel, Tatjana 9 Szyld, Daniel B. 9 Tisseur, Françoise 9 Townsend, Alex 9 Xu, Hongguo 9 Zlatev, Zahari 8 Absil, Pierre-Antoine 8 Bhatia, Rajendra 8 Bouhamidi, Abderrahman 8 Chang, Xiaowen 8 Dehghan Takht Fooladi, Mehdi 8 Elsner, Ludwig F. 8 Farooq, Aamir 8 Ferreira, Orizon Pereira 8 Howlett, Phil G. 8 Jarlebring, Elias 8 Kirkland, Stephen J. 8 Kublanovskaya, Vera Nikolaevna 8 Ma, Haifeng 8 Meini, Beatrice 8 Meng, Lingsheng 8 Misra, Pradeep 8 Miyajima, Shinya 8 Parlett, Beresford Neill 8 Plemmons, Robert James 8 Qiao, Sanzheng 8 Qiu, Li 8 Robol, Leonardo 8 Ruhe, Axel ...and 5,512 more Authors all top 5 Cited in 510 Serials 643 Linear Algebra and its Applications 200 Journal of Computational and Applied Mathematics 145 SIAM Journal on Matrix Analysis and Applications 133 Applied Mathematics and Computation 125 Numerical Linear Algebra with Applications 111 Numerische Mathematik 97 Journal of Computational Physics 96 BIT 93 SIAM Journal on Scientific Computing 86 Computers & Mathematics with Applications 84 Numerical Algorithms 75 Mathematics of Computation 73 Automatica 73 Applied Numerical Mathematics 63 International Journal of Control 55 Computer Methods in Applied Mechanics and Engineering 51 Linear and Multilinear Algebra 48 Journal of Optimization Theory and Applications 39 Systems & Control Letters 39 International Journal of Computer Mathematics 37 Journal of Scientific Computing 32 Journal of Fluid Mechanics 32 Computing 31 Mathematical Programming. Series A. Series B 30 Applied Mathematics Letters 30 Computational Statistics and Data Analysis 27 Computer Physics Communications 27 International Journal for Numerical Methods in Engineering 26 Journal of Mathematical Analysis and Applications 25 The Annals of Statistics 25 Calcolo 25 Computational Optimization and Applications 24 International Journal of Systems Science 24 Journal of the Franklin Institute 24 Mathematical and Computer Modelling 22 Computational and Applied Mathematics 22 ETNA. Electronic Transactions on Numerical Analysis 20 Journal of Multivariate Analysis 20 Numerical Functional Analysis and Optimization 20 Applied and Computational Harmonic Analysis 20 Advances in Computational Mathematics 18 Applied Mathematical Modelling 17 Information Sciences 16 European Journal of Operational Research 16 Journal of Machine Learning Research (JMLR) 16 Journal of Applied Mathematics and Computing 15 Mathematical Programming 15 Physica D 15 Foundations of Computational Mathematics 14 Journal of Econometrics 14 ELA. The Electronic Journal of Linear Algebra 13 Mathematics and Computers in Simulation 13 Theoretical Computer Science 13 Japan Journal of Industrial and Applied Mathematics 13 SIAM Journal on Optimization 12 Inverse Problems 11 Circuits, Systems, and Signal Processing 11 Communications in Statistics. Theory and Methods 11 SIAM Review 11 International Journal of Robust and Nonlinear Control 11 Optimization Methods & Software 11 BIT. Nordisk Tidskrift for Informationsbehandling 10 ACM Transactions on Mathematical Software 10 SIAM Journal on Algebraic and Discrete Methods 10 Optimization 10 Journal of Global Optimization 10 Journal of Statistical Computation and Simulation 10 Pattern Recognition 10 Journal of Mathematical Imaging and Vision 10 Electronic Journal of Statistics 10 Science China. Mathematics 9 Journal of Soviet Mathematics 9 Mathematical Problems in Engineering 8 Acta Mechanica 8 Computers and Fluids 8 Journal of Mathematical Physics 8 Kybernetika 8 Journal of Complexity 8 Journal of Mathematical Sciences (New York) 8 Journal of Difference Equations and Applications 8 Statistics and Computing 7 Mathematical Biosciences 7 Mathematical Methods in the Applied Sciences 7 SIAM Journal on Numerical Analysis 7 Operations Research Letters 7 Computer Aided Geometric Design 7 MCSS. Mathematics of Control, Signals, and Systems 7 International Journal of Computer Vision 7 Acta Numerica 7 SIAM Journal on Imaging Sciences 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Proceedings of the American Mathematical Society 6 Statistics & Probability Letters 6 Communications in Statistics. Simulation and Computation 6 Cybernetics and Systems Analysis 6 Physics of Fluids 6 Bernoulli 6 Soft Computing 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 6 Computational Methods in Applied Mathematics ...and 410 more Serials all top 5 Cited in 59 Fields 2,646 Numerical analysis (65-XX) 1,497 Linear and multilinear algebra; matrix theory (15-XX) 452 Systems theory; control (93-XX) 401 Statistics (62-XX) 391 Operations research, mathematical programming (90-XX) 258 Computer science (68-XX) 181 Operator theory (47-XX) 171 Partial differential equations (35-XX) 169 Probability theory and stochastic processes (60-XX) 168 Fluid mechanics (76-XX) 134 Ordinary differential equations (34-XX) 111 Mechanics of deformable solids (74-XX) 104 Calculus of variations and optimal control; optimization (49-XX) 92 Information and communication theory, circuits (94-XX) 82 Biology and other natural sciences (92-XX) 69 Quantum theory (81-XX) 68 Combinatorics (05-XX) 64 Dynamical systems and ergodic theory (37-XX) 61 Approximations and expansions (41-XX) 59 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 40 Statistical mechanics, structure of matter (82-XX) 38 Mechanics of particles and systems (70-XX) 35 Optics, electromagnetic theory (78-XX) 34 Functions of a complex variable (30-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 28 Integral equations (45-XX) 26 Differential geometry (53-XX) 25 Real functions (26-XX) 25 Classical thermodynamics, heat transfer (80-XX) 24 Geophysics (86-XX) 23 Difference and functional equations (39-XX) 23 Functional analysis (46-XX) 21 Field theory and polynomials (12-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Special functions (33-XX) 12 Algebraic geometry (14-XX) 11 Number theory (11-XX) 11 Commutative algebra (13-XX) 9 Geometry (51-XX) 7 History and biography (01-XX) 7 Integral transforms, operational calculus (44-XX) 7 Convex and discrete geometry (52-XX) 5 Mathematical logic and foundations (03-XX) 4 General and overarching topics; collections (00-XX) 4 Group theory and generalizations (20-XX) 4 Topological groups, Lie groups (22-XX) 4 Astronomy and astrophysics (85-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Associative rings and algebras (16-XX) 3 General topology (54-XX) 3 Manifolds and cell complexes (57-XX) 2 Nonassociative rings and algebras (17-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Relativity and gravitational theory (83-XX) 1 General algebraic systems (08-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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