# zbMATH — the first resource for mathematics

## SIAM Journal on Matrix Analysis and Applications

 Short Title: SIAM J. Matrix Anal. Appl. Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA ISSN: 0895-4798; 1095-7162/e Online: http://epubs.siam.org/loi/sjmael Predecessor: SIAM Journal on Algebraic and Discrete Methods Comments: Indexed cover-to-cover
 Documents Indexed: 2,500 Publications (since 1988) References Indexed: 497 Publications with 17,068 References.
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#### Latest Issues

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#### Authors

 48 Higham, Nicholas J. 30 Van Dooren, Paul M. 29 Gu, Ming 28 Golub, Gene Howard 28 Mehrmann, Volker 26 Tisseur, Françoise 25 De Lathauwer, Lieven 25 Johnson, Charles Royal 22 Kressner, Daniel 21 Dopico, Froilán M. 20 Ipsen, Ilse C. F. 20 Serra-Capizzano, Stefano 19 Li, Chi-Kwong 19 Lin, Wen-Wei 18 Chu, Delin 18 Demmel, James Weldon 18 Rodman, Leiba X. 17 Guglielmi, Nicola 17 Saad, Yousef 16 Chandrasekaran, Shivkumar 16 Chu, Moody T. 16 Guo, Chun-Hua 16 Li, Rencang 16 Mathias, Roy 16 Ng, Michael Kwok-Po 16 Overton, Michael L. 15 Xia, Jianlin 14 Neumann, Michael 14 Paige, Christopher C. 14 Vandebril, Raf 14 Watkins, David S. 13 Drmač, Zlatko 13 Gratton, Serge 13 Kågström, Bo 13 Meerbergen, Karl 13 Mehl, Christian 13 Simoncini, Valeria 13 Van Barel, Marc 13 Wei, Yimin 12 Barlow, Jesse L. 12 Laub, Alan J. 12 Stewart, Gilbert Wright 12 Szyld, Daniel B. 11 De Moor, Bart L. R. 11 Duff, Iain S. 11 Eisenstat, Stanley C. 11 Frommer, Andreas 11 Kailath, Thomas 11 Liu, Joseph W. H. 11 Mackey, D. Steven 11 Nabben, Reinhard 11 Nakatsukasa, Yuji 11 Ng, Esmond G. 11 Olesky, D. Dale 11 Park, Haesun 11 Qi, Liqun 11 Sun, Jiguang 11 Zha, Hongyuan 10 Bai, Zhaojun 10 Benzi, Michele 10 Greenbaum, Anne 10 Lancaster, Peter 10 Moro, Julio 10 Schneider, Hans 10 Stegeman, Alwin 10 Stewart, Michael 10 Toledo, Sivan 10 van den Driessche, Pauline 10 Zhang, Zhenyue 9 Benner, Peter 9 Bini, Dario Andrea 9 Byers, Ralph 9 de Terán, Fernando 9 Domanov, Ignat 9 Friedland, Shmuel 9 Gilbert, John R. 9 Greif, Chen 9 Higham, Desmond J. 9 Karow, Michael 9 Mastronardi, Nicola 9 Mengi, Emre 9 Michiels, Wim 9 Murota, Kazuo 9 Peña, Juan Manuel 9 Protasov, Vladimir Yu. 9 Ran, André C. M. 9 Sayed, Ali H. 9 Strakoš, Zdeněk 9 Tan, Roger C. E. 9 Titley-Péloquin, David 9 Xi, Yuanzhe 8 Alam, Rafikul 8 Beckermann, Bernhard 8 Bora, Shreemayee 8 Davis, Timothy Alden 8 Eldén, Lars 8 Embree, Mark 8 Gemignani, Luca 8 Gutknecht, Martin H. 8 Güttel, Stefan ...and 2,390 more Authors
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#### Fields

 1,806 Numerical analysis (65-XX) 1,373 Linear and multilinear algebra; matrix theory (15-XX) 207 Operations research, mathematical programming (90-XX) 195 Systems theory; control (93-XX) 131 Operator theory (47-XX) 123 Combinatorics (05-XX) 107 Statistics (62-XX) 100 Probability theory and stochastic processes (60-XX) 89 Partial differential equations (35-XX) 86 Computer science (68-XX) 63 Calculus of variations and optimal control; optimization (49-XX) 47 Ordinary differential equations (34-XX) 47 Approximations and expansions (41-XX) 45 Information and communication theory, circuits (94-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 25 Algebraic geometry (14-XX) 25 Differential geometry (53-XX) 19 Real functions (26-XX) 18 Biology and other natural sciences (92-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Difference and functional equations (39-XX) 14 Quantum theory (81-XX) 13 Convex and discrete geometry (52-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Functions of a complex variable (30-XX) 11 Fluid mechanics (76-XX) 10 Commutative algebra (13-XX) 10 Mechanics of particles and systems (70-XX) 9 Number theory (11-XX) 9 Integral equations (45-XX) 9 Functional analysis (46-XX) 9 Mechanics of deformable solids (74-XX) 8 Special functions (33-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Optics, electromagnetic theory (78-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Field theory and polynomials (12-XX) 6 Nonassociative rings and algebras (17-XX) 6 Group theory and generalizations (20-XX) 5 Geometry (51-XX) 4 Topological groups, Lie groups (22-XX) 4 General topology (54-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Integral transforms, operational calculus (44-XX) 2 Astronomy and astrophysics (85-XX) 1 Mathematical logic and foundations (03-XX) 1 $$K$$-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH Open

2,218 Publications have been cited 31,945 times in 16,583 Documents Cited by Year
Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1036.65032
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
2003
A multilinear singular value decomposition. Zbl 0962.15005
De Lathauwer, Lieven; De Moor, Bart; Vandewalle, Joos
2000
The geometry of algorithms with orthogonality constraints. Zbl 0928.65050
Edelman, Alan; Arias, Tomás A.; Smith, Steven T.
1998
A fully asynchronous multifrontal solver using distributed dynamic scheduling. Zbl 0992.65018
Amestoy, Patrick R.; Duff, Iain S.; L’Excellent, Jean-Yves; Koster, Jacko
2001
Implicit application of polynomial filters in a $$k$$-step Arnoldi method. Zbl 0763.65025
Sorensen, Danny C.
1992
A preconditioner for generalized saddle point problems. Zbl 1082.65034
Benzi, Michele; Golub, Gene H.
2004
On the best rank-1 and rank-$$(R_1,R_2,. . .,R_N)$$ approximation of higher-order tensors. Zbl 0958.15026
De Lathauwer, Lieven; De Moor, Bart; Vandewalle, Joos
2000
Further results for Perron-Frobenius theorem for nonnegative tensors. Zbl 1227.15014
Yang, Yuning; Yang, Qingzhi
2010
Robust solutions to least-squares problems with uncertain data. Zbl 0891.65039
El Ghaoui, Laurent; Lebret, Hervé
1997
Tensor rank and the ill-posedness of the best low-rank approximation problem. Zbl 1167.14038
de Silva, Vin; Lim, Lek-Heng
2008
The Laplacian spectrum of a graph. Zbl 0733.05060
Grone, Robert; Merris, Russell; Sunder, V. S.
1990
A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0860.65023
Sleijpen, Gerard L. G.; van der Vorst, Henk A.
1996
Finding the largest eigenvalue of a nonnegative tensor. Zbl 1197.65036
Ng, Michael; Qi, Liqun; Zhou, Guanglu
2010
Constraint preconditioning for indefinite linear systems. Zbl 0960.65052
Keller, Carsten; Gould, Nicholas I. M.; Wathen, Andrew J.
2000
$$\mathcal{H}_2$$ model reduction for large-scale linear dynamical systems. Zbl 1159.93318
Gugercin, S.; Antoulas, A. C.; Beattie, C.
2008
Some noninterior continuation methods for linear complementarity problems. Zbl 0868.90123
Kanzow, Christian
1996
Partitioning sparse matrices with eigenvectors of graphs. Zbl 0711.65034
Pothen, Alex; Simon, Horst D.; Liou, Kang-Pu
1990
Eigenvalues and condition numbers of random matrices. Zbl 0678.15019
Edelman, Alan
1988
On the best rank-1 approximation of higher-order supersymmetric tensors. Zbl 1001.65035
Kofidis, Eleftherios; Regalia, Phillip A.
2002
Symmetric tensors and symmetric tensor rank. Zbl 1181.15014
Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard
2008
A differential geometric approach to the geometric mean of symmetric positive-definite matrices. Zbl 1079.47021
Moakher, Maher
2005
Rank-one approximation to high order tensors. Zbl 1001.65036
Zhang, Tong; Golub, Gene H.
2001
$$M$$-tensors and some applications. Zbl 1307.15034
Zhang, Liping; Qi, Liqun; Zhou, Guanglu
2014
Vector spaces of linearizations for matrix polynomials. Zbl 1132.65027
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
2006
Structured polynomial eigenvalue problems: Good vibrations from good linearizations. Zbl 1132.65028
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
2006
A preconditioned iterative method for saddlepoint problems. Zbl 0760.65033
Rusten, Torgeir; Winther, Ragnar
1992
Deflation techniques for an implicitly restarted Arnoldi iteration. Zbl 0863.65016
Lehoucq, R. B.; Sorensen, D. C.
1996
Shifted power method for computing tensor eigenpairs. Zbl 1247.65048
Kolda, Tamara G.; Mayo, Jackson R.
2011
Hierarchical singular value decomposition of tensors. Zbl 1210.65090
Grasedyck, Lars
2010
Further results for Perron-Frobenius theorem for nonnegative tensors. II. Zbl 1426.15011
Yang, Qingzhi; Yang, Yuning
2011
Hankel matrix rank minimization with applications to system identification and realization. Zbl 1302.90127
Fazel, Maryam; Pong, Ting Kei; Sun, Defeng; Tseng, Paul
2013
Factorized sparse approximate inverse preconditionings. I: Theory. Zbl 0767.65037
Kolotilina, L. Yu.; Eremin, A. Yu.
1993
On the convergence of the multisplitting methods for the linear complementarity problem. Zbl 0942.65059
Bai, Zhongzhi
1999
A supernodal approach to sparse partial pivoting. Zbl 0931.65022
Demmel, James W.; Eisenstat, Stanley C.; Gilbert, John R.; Li, Xiaoye S.; Liu, Joseph W. H.
1999
Constraint preconditioners for symmetric indefinite matrices. Zbl 1195.65033
Bai, Zhong-Zhi; Ng, Michael K.; Wang, Zeng-Qi
2009
Low rank solution of Lyapunov equations. Zbl 1016.65024
Li, Jing-Rebecca; White, Jacob
2002
A review on the inverse of symmetric tridiagonal and block tridiagonal matrices. Zbl 0754.65029
Meurant, Gérard
1992
The scaling and squaring method for the matrix exponential revisited. Zbl 1081.65037
Higham, Nicholas J.
2005
Optimal and superoptimal circulant preconditioners. Zbl 0774.65024
Tyrtyshnikov, Evgenij E.
1992
A non-interior-point continuation method for linear complementarity problems. Zbl 0788.65073
Chen, Bintong; Harker, Patrick T.
1993
An approximate minimum degree ordering algorithm. Zbl 0861.65021
Amestoy, Patrick R.; Davis, Timothy A.; Duff, Iain S.
1996
Superfast solutions of real positive definite Toeplitz systems. Zbl 0658.65022
Ammar, Gregory S.; Gragg, William B.
1988
How fast are nonsymmetric matrix iterations? Zbl 0754.65036
Nachtigal, Noël M.; Reddy, Satish C.; Trefethen, Lloyd N.
1992
An unsymmetric-pattern multifrontal method for sparse LU factorization. Zbl 0884.65021
Davis, Timothy A.; Duff, Iain S.
1997
A quadratically convergent Newton method for computing the nearest correlation matrix. Zbl 1120.65049
Qi, Houduo; Sun, Defeng
2006
Extended Krylov subspaces: Approximation of the matrix square root and related functions. Zbl 0912.65022
1998
Interior-point method for nuclear norm approximation with application to system identification. Zbl 1201.90151
Liu, Zhang; Vandenberghe, Lieven
2010
More matrix forms of the arithmetic-geometric mean inequality. Zbl 0767.15012
Bhatia, Rajendra; Davis, Chandler
1993
A Krylov–Schur algorithm for large eigenproblems. Zbl 1003.65045
Stewart, G. W.
2001
A fast ULV decomposition solver for hierarchically semiseparable representations. Zbl 1120.65031
Chandrasekaran, S.; Gu, M.; Pals, T.
2006
A restarted GMRES method augmented with eigenvectors. Zbl 0836.65050
Morgan, Ronald B.
1995
Primitivity, the convergence of the NQZ method, and the largest eigenvalue for nonnegative tensors. Zbl 1244.65052
Chang, Kung-Ching; Pearson, Kelly J.; Zhang, Tan
2011
Jacobi’s method is more accurate than QR. Zbl 0759.65011
Demmel, James; Veselić, Krešimir
1992
Application of ADI iterative methods to the restoration of noisy images. Zbl 0849.65101
Calvetti, D.; Reichel, L.
1996
On the singular values of a product of operators. Zbl 0704.47014
1990
Orthogonal tensor decompositions. Zbl 1005.15020
Kolda, Tamara G.
2001
Generalized reflexive matrices: Special properties and applications. Zbl 0910.15005
Chen, Hsin-Chu
1998
Any nonincreasing convergence curve is possible for GMRES. Zbl 0857.65029
Greenbaum, Anne; Pták, Vlastimil; Strakoš, Zdeněk
1996
Tikhonov regularization and total least squares. Zbl 0945.65042
Golub, Gene H.; Hansen, Per Christian; O’Leary, Dianne P.
1999
Superfast multifrontal method for large structured linear systems of equations. Zbl 1195.65031
Xia, Jianlin; Chandrasekaran, Shivkumar; Gu, Ming; Li, Xiaoye S.
2010
Nonsymmetric algebraic Riccati equations and Wiener-Hopf factorization for M-matrices. Zbl 0996.65047
Guo, Chun-Hua
2001
First-order methods for sparse covariance selection. Zbl 1156.90423
d’Aspremont, Alexandre; Banerjee, Onureena; El Ghaoui, Laurent
2008
Representations for the Drazin inverse of a $$2 \times 2$$ block matrix. Zbl 1100.15003
Hartwig, Robert; Li, Xiezhang; Wei, Yimin
2006
On an iteration method for solving a class of nonlinear matrix equations. Zbl 1002.65061
El-Sayed, Salah M.; Ran, André C. M.
2001
Determinant maximization with linear matrix inequality constraints. Zbl 0959.90039
Vandenberghe, Lieven; Boyd, Stephen; Wu, Shao-Po
1998
The role of elimination trees in sparse factorization. Zbl 0697.65013
Liu, Joseph W. H.
1990
GMRES on (nearly) singular systems. Zbl 0876.65019
Brown, Peter N.; Walker, Homer F.
1997
Geometric means in a novel vector space structure on symmetric positive-definite matrices. Zbl 1144.47015
Arsigny, Vincent; Fillard, Pierre; Pennec, Xavier; Ayache, Nicholas
2007
Randomized extended Kaczmarz for solving least squares. Zbl 1273.65053
Zouzias, Anastasios; Freris, Nikolaos M.
2013
Choosing regularization parameters in iterative methods for ill-posed problems. Zbl 0983.65056
Kilmer, Misha E.; O’Leary, Dianne P.
2001
A characterization and representation of the Drazin inverse. Zbl 0872.15006
Wei, Yimin
1996
Thick-restart Lanczos method for large symmetric eigenvalue problems. Zbl 0969.65030
Wu, Kesheng; Simon, Horst
2000
SOAR: A second-order Arnoldi method for the solution of the quadratic eigenvalue problem. Zbl 1080.65024
Bai, Zhaojun; Su, Yangfeng
2005
Krylov subspace methods for linear systems with tensor product structure. Zbl 1208.65044
Kressner, Daniel; Tobler, Christine
2010
Fiedler companion linearizations and the recovery of minimal indices. Zbl 1205.15024
de Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven
2010
Dynamical low-rank approximation. Zbl 1145.65031
Koch, Othmar; Lubich, Christian
2008
Symmetric indefinite preconditioners for saddle point problems with applications to PDE-constrained optimization problems. Zbl 1154.65029
Schöberl, Joachim; Zulehner, Walter
2007
The Parter–Wiener theorem: Refinement and generalization. Zbl 1067.15003
Johnson, Charles R.; Duarte, António Leal; Saiago, Carlos M.
2003
Low-rank tensor Krylov subspace methods for parametrized linear systems. Zbl 1237.65034
Kressner, Daniel; Tobler, Christine
2011
A new scaling and squaring algorithm for the matrix exponential. Zbl 1194.15021
Al-Mohy, Awad H.; Higham, Nicholas J.
2010
A generalization of the Hermitian and skew-Hermitian splitting iteration. Zbl 1191.65025
Benzi, Michele
2009
All real eigenvalues of symmetric tensors. Zbl 1312.65053
Cui, Chun-Feng; Dai, Yu-Hong; Nie, Jiawang
2014
A completed theory of the unsymmetric Lanczos process and related algorithms. I. Zbl 0760.65039
Gutknecht, Martin H.
1992
On minimizing the maximum eigenvalue of a symmetric matrix. Zbl 0647.65044
Overton, Michael L.
1988
Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047
Simoncini, Valeria; Benzi, Michele
2004
On smooth decompositions of matrices. Zbl 0930.15014
Dieci, Luca; Eirola, Timo
1999
Mixed, componentwise, and structured condition numbers. Zbl 0780.15004
Gohberg, I.; Koltracht, I.
1993
Circulant and skewcirculant matrices for solving Toeplitz matrix problems. Zbl 0756.65047
Huckle, Thomas
1992
Accurate eigenvalues and SVDs of totally nonnegative matrices. Zbl 1095.65031
Koev, Plamen
2005
On the iterative solution of a class of nonsymmetric algebraic Riccati equations. Zbl 0973.65025
Guo, Chun-Hua; Laub, Alan J.
2000
Symmetric linearizations for matrix polynomials. Zbl 1137.15006
Higham, Nicholas J.; Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise
2006
Approximation of $$2^d\times2^d$$ matrices using tensor decomposition. Zbl 1200.15005
Oseledets, I. V.
2010
Derivatives of eigenvalues and eigenvectors of matrix functions. Zbl 0786.15011
Andrew, Alan L.; Chu, K.-W. Eric; Lancaster, Peter
1993
Accurate computations with totally nonnegative matrices. Zbl 1198.65057
Koev, Plamen
2007
The accurate and efficient solution of a totally positive generalized Vandermonde linear system. Zbl 1096.65031
Demmel, James; Koev, Plamen
2005
Structured pseudospectra for polynomial eigenvalue problems, with applications. Zbl 0996.65042
Tisseur, Françoise; Higham, Nicholas J.
2001
Relative-error CUR matrix decompositions. Zbl 1183.68738
Drineas, Petros; Mahoney, Michael W.; Muthukrishnan, S.
2008
Positive definiteness and stability of interval matrices. Zbl 0796.65065
Rohn, Jiří
1994
A shifted block Lanczos algorithm for solving sparse symmetric generalized eigenproblems. Zbl 0803.65044
Grimes, Roger G.; Lewis, John G.; Simon, Horst D.
1994
Tucker dimensionality reduction of three-dimensional arrays in linear time. Zbl 1180.15025
Oseledets, I. V.; Savostianov, D. V.; Tyrtyshnikov, E. E.
2008
On adaptive sketch-and-project for solving linear systems. Zbl 07365306
Gower, Robert M.; Molitor, Denali; Moorman, Jacob; Needell, Deanna
2021
Randomized Kaczmarz converges along small singular vectors. Zbl 07340704
Steinerberger, Stefan
2021
Efficient construction of an HSS preconditioner for symmetric positive definite $$\mathcal{H}^2$$ matrices. Zbl 07340708
Xing, Xin; Huang, Hua; Chow, Edmond
2021
A comparison of limited-memory Krylov methods for Stieltjes functions of Hermitian matrices. Zbl 1459.65057
Güttel, Stefan; Schweitzer, Marcel
2021
Triple decomposition and tensor recovery of third order tensors. Zbl 1467.15020
Qi, Liqun; Chen, Yannan; Bakshi, Mayank; Zhang, Xinzhen
2021
Stochastic reformulations of linear systems: algorithms and convergence theory. Zbl 1440.65045
Richtárik, Peter; Takáč, Martin
2020
Optimal robustness of port-Hamiltonian systems. Zbl 1440.93067
Mehrmann, Volker; Van Dooren, Paul M.
2020
Conditioning of partial nonuniform Fourier matrices with clustered nodes. Zbl 1432.65050
Batenkov, Dmitry; Demanet, Laurent; Goldman, Gil; Yomdin, Yosef
2020
Solving the three-dimensional high-frequency Helmholtz equation using contour integration and polynomial preconditioning. Zbl 1434.65234
Liu, Xiao; Xi, Yuanzhe; Saad, Yousef; de Hoop, Maarten V.
2020
Quotient geometry with simple geodesics for the manifold of fixed-rank positive-semidefinite matrices. Zbl 1433.53064
Massart, Estelle; Absil, P.-A.
2020
An algebraic sparsified nested dissection algorithm using low-rank approximations. Zbl 1441.65048
Cambier, Léopold; Chen, Chao; Boman, Erik G.; Rajamanickam, Sivasankaran; Tuminaro, Raymond S.; Darve, Eric
2020
Computing closest stable nonnegative matrix. Zbl 1448.65027
Nesterov, Yu.; Protasov, V. Yu.
2020
Admissible and attainable convergence behavior of block Arnoldi and GMRES. Zbl 1440.65042
Kubínová, Marie; Soodhalter, Kirk M.
2020
First order structure-preserving perturbation theory for eigenvalues of symplectic matrices. Zbl 1441.15007
Sosa, Fredy; Moro, Julio; Mehl, Christian
2020
Solving quadratic matrix equations arising in random walks in the quarter plane. Zbl 1441.15010
Bini, Dario A.; Meini, Beatrice; Meng, Jie
2020
Interpolative decomposition via proxy points for kernel matrices. Zbl 1432.65052
Xing, Xin; Chow, Edmond
2020
The block rational Arnoldi method. Zbl 1441.65047
Elsworth, Steven; Güttel, Stefan
2020
Structured inversion of the Bernstein mass matrix. Zbl 1441.65043
Allen, Larry; Kirby, Robert C.
2020
Block Krylov subspace methods for functions of matrices. II: Modified block FOM. Zbl 1441.65051
Frommer, Andreas; Lund, Kathryn; Szyld, Daniel B.
2020
On Strassen’s rank additivity for small three-way tensors. Zbl 1429.15021
Buczyński, Jarosław; Postinghel, Elisa; Rupniewski, Filip
2020
Smoothing splines and rank structured matrices: revisiting the spline kernel. Zbl 1440.65038
Andersen, Martin S.; Chen, Tianshi
2020
Majorization bounds for Ritz values of self-adjoint matrices. Zbl 1440.42159
Massey, Pedro G.; Stojanoff, Demetrio; Zarate, Sebastian
2020
The computation of low multilinear rank approximations of tensors via power scheme and random projection. Zbl 07206106
Che, Maolin; Wei, Yimin; Yan, Hong
2020
On uniqueness and computation of the decomposition of a tensor into multilinear rank-$$(1,L_r,L_r)$$ terms. Zbl 1442.15042
Domanov, Ignat; De Lathauwer, Lieven
2020
BiLQ: an iterative method for nonsymmetric linear systems with a quasi-minimum error property. Zbl 1458.65032
Montoison, Alexis; Orban, Dominique
2020
On iterative solution of the extended normal equations. Zbl 1461.65035
Calandra, Henri; Gratton, Serge; Riccietti, Elisa; Vasseur, Xavier
2020
Low-rank approximation in the Frobenius norm by column and row subset selection. Zbl 07301504
Cortinovis, Alice; Kressner, Daniel
2020
Computing enclosures for the matrix exponential. Zbl 1459.65056
Frommer, Andreas; Hashemi, Behnam
2020
Probabilistic error analysis for inner products. Zbl 1461.65068
Ipsen, Ilse C. F.; Zhou, Hua
2020
Uniform bounds for invariant subspace perturbations. Zbl 07301584
Damle, Anil; Sun, Yuekai
2020
Computationally efficient decompositions of oblique projection matrices. Zbl 1461.65044
Brust, Johannes J.; Marcia, Roummel F.; Petra, Cosmin G.
2020
A subspace framework for $$\mathcal{H}_\infty$$-norm minimization. Zbl 1461.93123
Aliyev, Nicat; Benner, Peter; Mengi, Emre; Voigt, Matthias
2020
Computing the Kreiss constant of a matrix. Zbl 1464.65044
Mitchell, Tim
2020
Faster randomized block Kaczmarz algorithms. Zbl 1453.65074
Necoara, Ion
2019
LSLQ: an iterative method for linear least-squares with an error minimization property. Zbl 1451.65028
Estrin, Ron; Orban, Dominique; Saunders, Michael A.
2019
Weierstrass structure and eigenvalue placement of regular matrix pencils under low rank perturbations. Zbl 1416.15012
Baragaña, Itziar; Roca, Alicia
2019
LNLQ: an iterative method for least-norm problems with an error minimization property. Zbl 1435.65050
Estrin, Ron; Orban, Dominique; Saunders, Michael A.
2019
The general matrix pencil completion problem: a minimal case. Zbl 1414.15033
Dodig, Marija; Stošić, Marko
2019
Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices. Zbl 1420.65024
Pestana, J.
2019
A unifying Perron-Frobenius theorem for nonnegative tensors via multihomogeneous maps. Zbl 07122459
Gautier, Antoine; Tudisco, Francesco; Hein, Matthias
2019
A rational QZ method. Zbl 1420.65044
Camps, Daan; Meerbergen, Karl; Vandebril, Raf
2019
Numerical computation for orthogonal low-rank approximation of tensors. Zbl 1435.65064
Guan, Yu; Chu, Delin
2019
Euclidean-norm error bounds for SYMMLQ and CG. Zbl 1409.65015
Estrin, Ron; Orban, Dominique; Saunders, Michael
2019
High order Bellman equations and weakly chained diagonally dominant tensors. Zbl 1455.65100
2019
Extended and improved criss-cross algorithms for computing the spectral value set abscissa and radius. Zbl 1457.93066
Benner, Peter; Mitchell, Tim
2019
Learning paths from signature tensors. Zbl 07047353
Pfeffer, Max; Seigal, Anna; Sturmfels, Bernd
2019
Necessary conditions and tight two-level convergence bounds for parareal and multigrid reduction in time. Zbl 1420.65039
Southworth, Ben S.
2019
Pencil-based algorithms for tensor rank decomposition are not stable. Zbl 1451.14170
Beltrán, Carlos; Breiding, Paul; Vannieuwenhoven, Nick
2019
The extrinsic geometry of dynamical systems tracking nonlinear matrix projections. Zbl 07099843
Feppon, Florian; Lermusiaux, Pierre F. J.
2019
The eigenvalue distribution of special 2-by-2 block matrix-sequences with applications to the case of symmetrized Toeplitz structures. Zbl 1426.15041
Ferrari, Paola; Furci, Isabella; Hon, Sean; Mursaleen, Mohammad Ayman; Serra-Capizzano, Stefano
2019
The Perron-Frobenius theorem for multihomogeneous mappings. Zbl 07122458
Gautier, Antoine; Tudisco, Francesco; Hein, Matthias
2019
Randomized subspace iteration: analysis of canonical angles and unitarily invariant norms. Zbl 1406.65024
Saibaba, Arvind K.
2019
The polynomial eigenvalue problem is well conditioned for random inputs. Zbl 1409.65021
Armentano, Diego; Beltrán, Carlos
2019
Stable computation of generalized matrix functions via polynomial interpolation. Zbl 1409.65030
Aurentz, Jared L.; Austin, Anthony P.; Benzi, Michele; Kalantzis, Vassilis
2019
Low-rank matrix approximations do not need a singular value gap. Zbl 1455.65066
Drineas, Petros; Ipsen, Ilse C. F.
2019
On the global convergence of the complex HZ method. Zbl 1427.65048
Hari, Vjeran
2019
Computing tensor $$Z$$-eigenvectors with dynamical systems. Zbl 1431.15007
Benson, Austin R.; Gleich, David F.
2019
Accuracy of the Lanczos process for the eigenproblem and solution of equations. Zbl 1427.65044
Paige, Christopher C.
2019
Numerical algorithms on the affine Grassmannian. Zbl 1419.14086
Lim, Lek-Heng; Sze-Wai Wong, Ken; Ye, Ke
2019
Sketching for principal component regression. Zbl 1416.65105
Mor-Yosef, Liron; Avron, Haim
2019
Hankel tensor decompositions and ranks. Zbl 1411.15018
Nie, Jiawang; Ye, Ke
2019
Sensitivity analysis of nonlinear eigenproblems. Zbl 1420.65042
2019
Zolotarev iterations for the Matrix square Root. Zbl 1420.65057
Gawlik, Evan S.
2019
The structured condition number of a differentiable map between matrix manifolds, with applications. Zbl 1429.65094
Arslan, Bahar; Noferini, Vanni; Tisseur, Françoise
2019
An algorithmic characterization of P-matricity. II: Adjustments, refinements, and validation. Zbl 07099842
Gharbia, I. Ben; Gilbert, J. Ch.
2019
Solving singular generalized eigenvalue problems by a rank-completing perturbation. Zbl 1435.65056
Hochstenbach, Michiel E.; Mehl, Christian; Plestenjak, Bor
2019
Spectral sets: numerical range and beyond. Zbl 07122453
Crouzeix, Michel; Greenbaum, Anne
2019
Constrained graph partitioning via matrix differential equations. Zbl 1407.05187
Andreotti, Eleonora; Edelmann, Dominik; Guglielmi, Nicola; Lubich, Christian
2019
Effective resistance preserving directed graph symmetrization. Zbl 1406.05029
Fitch, Katherine
2019
A class of efficient locally constructed preconditioners based on coarse spaces. Zbl 1406.65017
Daas, Hussam Al; Grigori, Laura
2019
Convergence of some iterative methods for symmetric saddle point linear systems. Zbl 1406.65018
Notay, Yvan
2019
On the best approximation of the hierarchical matrix product. Zbl 07011413
Dölz, Jürgen; Harbrecht, Helmut; Multerer, Michael D.
2019
Max-balanced Hungarian scalings. Zbl 1409.65028
Hook, James; Pestana, Jennifer; Tisseur, Françoise; Hogg, Jonathan
2019
Riemannian geometry of symmetric positive definite matrices via Cholesky decomposition. Zbl 07141455
Lin, Zhenhua
2019
Partially symmetric variants of Comon’s problem via simultaneous rank. Zbl 1428.15024
Gesmundo, Fulvio; Oneto, Alessandro; Ventura, Emanuele
2019
Improving the complexity of block low-rank factorizations with fast matrix arithmetic. Zbl 07141460
Jeannerod, Claude-Pierre; Mary, Theo; Pernet, Clément; Roche, Daniel S.
2019
Block basis factorization for scalable kernel evaluation. Zbl 1453.65091
Wang, Ruoxi; Li, Yingzhou; Mahoney, Michael W.; Darve, Eric
2019
Robust preconditioners via generalized eigenproblems for hybrid sparse linear solvers. Zbl 1411.65042
Agullo, Emmanuel; Giraud, Luc; Poirel, Louis
2019
Factorization, symmetrization, and truncated transformation of radial basis function-GA stabilized Gaussian radial basis functions. Zbl 07062411
Le Borne, Sabine
2019
Van Dooren’s index sum theorem and rational matrices with prescribed structural data. Zbl 1428.15016
Anguas, Luis M.; Dopico, FroiláN M.; Hollister, Richard; Mackey, D. Steven
2019
A tensor version of the quantum Wielandt theorem. Zbl 1426.15025
Michałek, Mateusz; Seynnaeve, Tim; Verstraete, Frank
2019
A geometric description of feasible singular values in the tensor train format. Zbl 1461.15029
Krämer, Sebastian
2019
An arbitrary precision scaling and squaring algorithm for the matrix exponential. Zbl 1437.65033
Fasi, Massimiliano; Higham, Nicholas J.
2019
Block modified Gram-Schmidt algorithms and their analysis. Zbl 1427.65054
Barlow, Jesse L.
2019
A structured condition number for Kemeny’s constant. Zbl 1428.60107
Breen, Jane; Kirkland, Steve
2019
A geometric approach to dynamical model order reduction. Zbl 1395.65111
Feppon, Florian; Lermusiaux, Pierre F. J.
2018
A practical randomized CP tensor decomposition. Zbl 1444.65016
Battaglino, Casey; Ballard, Grey; Kolda, Tamara G.
2018
$$\mathcal H_2$$-quasi-optimal model order reduction for quadratic-bilinear control systems. Zbl 1418.93048
Benner, Peter; Goyal, Pawan; Gugercin, Serkan
2018
Linear algebra properties of dissipative Hamiltonian descriptor systems. Zbl 1403.15009
Mehl, C.; Mehrmann, V.; Wojtylak, M.
2018
Geometric subspace updates with applications to online adaptive nonlinear model reduction. Zbl 1383.65034
Zimmermann, Ralf; Peherstorfer, Benjamin; Willcox, Karen
2018
A subspace method for large-scale eigenvalue optimization. Zbl 1378.65090
Kangal, Fatih; Meerbergen, Karl; Mengi, Emre; Michiels, Wim
2018
The condition number of join decompositions. Zbl 1384.49035
Breiding, Paul; Vannieuwenhoven, Nick
2018
Primitive sets of nonnegative matrices and synchronizing automata. Zbl 1378.15020
Gerencsér, Balázs; Gusev, Vladimir V.; Jungers, Raphaël M.
2018
Solving rank-structured Sylvester and Lyapunov equations. Zbl 1404.65036
Massei, Stefano; Palitta, Davide; Robol, Leonardo
2018
Fast and backward stable computation of roots of polynomials. II: Backward error analysis; companion matrix and companion pencil. Zbl 1398.65056
Aurentz, Jared L.; Mach, Thomas; Robol, Leonardo; Vandebril, Raf; Watkins, David S.
2018
Efficient randomized algorithms for the fixed-precision low-rank matrix approximation. Zbl 1405.65063
Yu, Wenjian; Gu, Yu; Li, Yaohang
2018
On an eigenvector-dependent nonlinear eigenvalue problem. Zbl 1401.65036
Cai, Yunfeng; Zhang, Lei-Hong; Bai, Zhaojun; Li, Ren-Cang
2018
Iterative methods for double saddle point systems. Zbl 1391.65062
Ali Beik, Fatemeh Panjeh; Benzi, Michele
2018
The discrete empirical interpolation method: canonical structure and formulation in weighted inner product spaces. Zbl 1415.65107
Drmač, Zlatko; Saibaba, Arvind Krishna
2018
A Lanczos method for large-scale extreme Lorentz eigenvalue problems. Zbl 1390.90543
Zhang, Lei-Hong; Shen, Chungen; Yang, Wei Hong; Júdice, Joaquim J.
2018
...and 1673 more Documents
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#### Cited by 16,261 Authors

 161 Wei, Yimin 116 Ma, Changfeng 112 Huang, Ting-Zhu 110 Qi, Liqun 102 Reichel, Lothar 98 Benner, Peter 95 Serra-Capizzano, Stefano 76 Wang, Qingwen 71 Peña, Juan Manuel 68 Mehrmann, Volker 66 Johnson, Charles Royal 65 Ng, Michael Kwok-Po 65 Van Barel, Marc 63 Bai, Zhongzhi 62 Li, Wen 62 Zhang, Guofeng 57 Kressner, Daniel 54 Li, Rencang 54 Van Dooren, Paul M. 53 Lin, Wen-Wei 51 Dopico, Froilán M. 48 Li, Chaoqian 47 Simoncini, Valeria 46 Li, Yaotang 46 Zheng, Bing 45 Hajarian, Masoud 44 Jbilou, Khalide 44 Vandebril, Raf 42 Benzi, Michele 42 Jia, Zhongxiao 41 Bu, Changjiang 41 Higham, Nicholas J. 40 Li, Chi-Kwong 39 Tian, Yongge 38 Kittaneh, Fuad 38 Pan, Victor Yakovlevich 37 Bini, Dario Andrea 37 Jin, Xiaoqing 36 Chen, Guoliang 35 Oseledets, Ivan V. 34 Huang, Zheng-Hai 34 Jiang, Yaolin 34 Sun, Defeng 33 Axelsson, Axel Owe Holger 33 Dai, Hua 33 Dehghan Takht Fooladi, Mehdi 33 Khojasteh Salkuyeh, Davod 33 Khoromskij, Boris N. 33 Liang, Zhaozheng 33 Neumann, Michael 33 Rodman, Leiba X. 33 Saad, Yousef 33 Tyrtyshnikov, Evgeniĭ Evgen’evich 32 Ballico, Edoardo 32 Gemignani, Luca 32 Guglielmi, Nicola 32 Wu, Shiliang 31 Donatelli, Marco 31 Gugercin, Serkan 31 Li, Cuixia 31 Lim, Yongdo 31 Psarrakos, Panayiotis J. 31 Wu, Yujiang 30 Cao, Yang 30 Hadjidimos, Apostolos 30 Szyld, Daniel B. 30 Vong, Seakweng 29 Hladík, Milan 29 Ikramov, Saidkhakim Dododshanovich 29 Lu, Linzhang 28 de Terán, Fernando 28 Liu, Jianzhou 28 Mastronardi, Nicola 28 Meini, Beatrice 27 Hackbusch, Wolfgang 27 Li, Hanyu 27 Yang, Aili 26 De Lathauwer, Lieven 26 Huang, Rong 26 Mehl, Christian 26 Nakatsukasa, Yuji 26 Noferini, Vanni 26 van den Driessche, Pauline 26 Zhang, Lei-Hong 25 Diao, Huaian 25 Faßbender, Heike 25 Huang, Na 25 Lin, Yiqin 25 Ran, André C. M. 25 Tisseur, Françoise 25 Wu, Gang 24 Chan, Raymond Hon-Fu 24 Han, Bin 24 Hochstenbach, Michiel E. 24 Hu, Xiyan 24 Huang, Zhengge 24 Jiang, Zhaolin 24 Melman, Aaron 24 Protasov, Vladimir Yu. 24 Robol, Leonardo ...and 16,161 more Authors
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#### Cited in 771 Journals

 2,357 Linear Algebra and its Applications 896 Journal of Computational and Applied Mathematics 685 Applied Mathematics and Computation 451 Linear and Multilinear Algebra 448 SIAM Journal on Matrix Analysis and Applications 435 SIAM Journal on Scientific Computing 425 Numerical Algorithms 379 Computers & Mathematics with Applications 330 Journal of Computational Physics 324 Numerical Linear Algebra with Applications 272 BIT 256 Applied Numerical Mathematics 219 Computer Methods in Applied Mechanics and Engineering 217 Numerische Mathematik 200 Automatica 197 Mathematical Programming. Series A. Series B 169 Computational Optimization and Applications 166 Mathematics of Computation 150 Journal of Scientific Computing 139 International Journal of Computer Mathematics 137 Journal of Optimization Theory and Applications 135 Journal of Mathematical Analysis and Applications 131 Systems & Control Letters 127 Applied Mathematics Letters 124 Computational and Applied Mathematics 109 Calcolo 102 Advances in Computational Mathematics 101 Journal of Global Optimization 97 SIAM Journal on Optimization 97 Applied and Computational Harmonic Analysis 95 Optimization Methods & Software 79 Mathematical Problems in Engineering 78 International Journal of Control 75 International Journal for Numerical Methods in Engineering 74 Journal of Applied Mathematics and Computing 73 Journal of the Franklin Institute 68 Journal of Fluid Mechanics 68 European Journal of Operational Research 67 Frontiers of Mathematics in China 66 The Annals of Statistics 66 ELA. The Electronic Journal of Linear Algebra 64 Journal of Inequalities and Applications 60 Applied Mathematical Modelling 59 Abstract and Applied Analysis 58 Foundations of Computational Mathematics 53 Computational Statistics and Data Analysis 51 Discrete Applied Mathematics 51 Mathematics and Computers in Simulation 50 Theoretical Computer Science 50 Optimization 50 Mathematical and Computer Modelling 49 East Asian Journal on Applied Mathematics 48 Computing 48 ETNA. Electronic Transactions on Numerical Analysis 48 Journal of Applied Mathematics 47 Journal of Multivariate Analysis 47 Journal of Symbolic Computation 46 Journal of Mathematical Physics 46 Journal of Approximation Theory 45 Japan Journal of Industrial and Applied Mathematics 44 SIAM Journal on Numerical Analysis 43 Optimization Letters 42 Numerical Functional Analysis and Optimization 42 Neural Computation 40 Discrete Mathematics 39 Computers and Fluids 39 Inverse Problems 39 Pattern Recognition 38 Proceedings of the American Mathematical Society 38 Annals of Operations Research 37 Integral Equations and Operator Theory 36 European Journal of Control 35 The Journal of Fourier Analysis and Applications 35 Journal of Machine Learning Research (JMLR) 34 Operations Research Letters 34 Special Matrices 33 Science China. Mathematics 32 SIAM Review 32 Journal of Industrial and Management Optimization 32 SIAM Journal on Imaging Sciences 30 Journal of Complexity 28 Journal of Mathematical Imaging and Vision 28 Journal of Mathematical Sciences (New York) 28 Engineering Analysis with Boundary Elements 28 Multiscale Modeling & Simulation 27 Computer Physics Communications 27 SIAM Journal on Control and Optimization 26 Computational Mathematics and Mathematical Physics 26 Communications in Numerical Methods in Engineering 26 SIAM/ASA Journal on Uncertainty Quantification 25 Information Sciences 25 Journal of Functional Analysis 25 Circuits, Systems, and Signal Processing 25 Constructive Approximation 25 Acta Mathematica Sinica. English Series 25 Numerical Algebra, Control and Optimization 24 Computational Mechanics 24 Computational Geosciences 23 Transactions of the American Mathematical Society 23 Electronic Journal of Statistics ...and 671 more Journals
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#### Cited in 62 Fields

 8,761 Numerical analysis (65-XX) 5,723 Linear and multilinear algebra; matrix theory (15-XX) 2,260 Operations research, mathematical programming (90-XX) 1,253 Systems theory; control (93-XX) 980 Partial differential equations (35-XX) 950 Computer science (68-XX) 934 Combinatorics (05-XX) 925 Operator theory (47-XX) 852 Statistics (62-XX) 685 Probability theory and stochastic processes (60-XX) 655 Fluid mechanics (76-XX) 582 Calculus of variations and optimal control; optimization (49-XX) 492 Information and communication theory, circuits (94-XX) 444 Mechanics of deformable solids (74-XX) 431 Ordinary differential equations (34-XX) 343 Approximations and expansions (41-XX) 335 Harmonic analysis on Euclidean spaces (42-XX) 240 Biology and other natural sciences (92-XX) 212 Dynamical systems and ergodic theory (37-XX) 208 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 204 Quantum theory (81-XX) 202 Functional analysis (46-XX) 195 Algebraic geometry (14-XX) 184 Optics, electromagnetic theory (78-XX) 160 Real functions (26-XX) 155 Statistical mechanics, structure of matter (82-XX) 138 Differential geometry (53-XX) 126 Mechanics of particles and systems (70-XX) 122 Functions of a complex variable (30-XX) 111 Special functions (33-XX) 111 Convex and discrete geometry (52-XX) 98 Number theory (11-XX) 97 Geophysics (86-XX) 95 Difference and functional equations (39-XX) 91 Commutative algebra (13-XX) 86 Field theory and polynomials (12-XX) 81 Global analysis, analysis on manifolds (58-XX) 61 Integral equations (45-XX) 48 Associative rings and algebras (16-XX) 46 Group theory and generalizations (20-XX) 43 Integral transforms, operational calculus (44-XX) 38 Classical thermodynamics, heat transfer (80-XX) 35 Nonassociative rings and algebras (17-XX) 35 Topological groups, Lie groups (22-XX) 35 Geometry (51-XX) 32 History and biography (01-XX) 25 Order, lattices, ordered algebraic structures (06-XX) 24 Manifolds and cell complexes (57-XX) 23 Measure and integration (28-XX) 21 Potential theory (31-XX) 19 General topology (54-XX) 16 General and overarching topics; collections (00-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Abstract harmonic analysis (43-XX) 13 General algebraic systems (08-XX) 13 Relativity and gravitational theory (83-XX) 11 Mathematical logic and foundations (03-XX) 11 Astronomy and astrophysics (85-XX) 9 Sequences, series, summability (40-XX) 7 Algebraic topology (55-XX) 5 Mathematics education (97-XX) 1 Category theory; homological algebra (18-XX)