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: 2,581 Publications (since 1988) References Indexed: 579 Publications with 20,223 References. all top 5 Latest Issues 43, No. 4 (2022) 43, No. 3 (2022) 43, No. 2 (2022) 43, No. 1 (2022) 42, No. 4 (2021) 42, No. 3 (2021) 42, No. 2 (2021) 42, No. 1 (2021) 41, No. 4 (2020) 41, No. 3 (2020) 41, No. 2 (2020) 41, No. 1 (2020) 40, No. 4 (2019) 40, No. 3 (2019) 40, No. 2 (2019) 40, No. 1 (2019) 39, No. 4 (2018) 39, No. 3 (2018) 39, No. 2 (2018) 39, No. 1 (2018) 38, No. 4 (2017) 38, No. 3 (2017) 38, No. 2 (2017) 38, No. 1 (2017) 37, No. 4 (2016) 37, No. 3 (2016) 37, No. 2 (2016) 37, No. 1 (2016) 36, No. 4 (2015) 36, No. 3 (2015) 36, No. 2 (2015) 36, No. 1 (2015) 35, No. 4 (2014) 35, No. 3 (2014) 35, No. 2 (2014) 35, No. 1 (2014) 34, No. 4 (2013) 34, No. 3 (2013) 34, No. 2 (2013) 34, No. 1 (2013) 33, No. 4 (2012) 33, No. 3 (2012) 33, No. 2 (2012) 33, No. 1 (2012) 32, No. 4 (2011) 32, No. 3 (2011) 32, No. 2 (2011) 32, No. 1 (2011) 31, No. 5 (2010) 31, No. 4 (2010) 31, No. 3 (2010) 31, No. 2 (2009) 31, No. 1 (2009) 30, No. 4 (2008/2009) 30, No. 3 (2008) 30, No. 2 (2008) 30, No. 1 (2008) 29, No. 4 (2008) 29, No. 3 (2007) 29, No. 2 (2007) 29, No. 1 (2006/2007) 28, No. 4 (2006) 28, No. 3 (2006) 28, No. 2 (2006) 28, No. 1 (2006) 27, No. 4 (2006) 27, No. 3 (2005/2006) 27, No. 2 (2005) 27, No. 1 (2005) 26, No. 4 (2005) 26, No. 3 (2005) 26, No. 2 (2004/2005) 26, No. 1 (2004) 25, No. 4 (2004) 25, No. 3 (2003/2004) 25, No. 2 (2003) 25, No. 1 (2003) 24, No. 4 (2003) 24, No. 3 (2003) 24, No. 2 (2002) 24, No. 1 (2002) 23, No. 4 (2002) 23, No. 3 (2002) 23, No. 2 (2001) 23, No. 1 (2001) 22, No. 4 (2001) 22, No. 3 (2001) 22, No. 2 (2000) 22, No. 1 (2000) 21, No. 4 (2000) 21, No. 3 (2000) 21, No. 2 (1999/2000) 21, No. 1 (1999) 20, No. 4 (1999) 20, No. 3 (1999) 20, No. 2 (1998) 20, No. 1 (1998) 19, No. 4 (1998) 19, No. 3 (1998) 19, No. 2 (1998) ...and 39 more Volumes all top 5 Authors 49 Higham, Nicholas J. 32 Van Dooren, Paul M. 29 Gu, Ming 29 Mehrmann, Volker 28 De Lathauwer, Lieven 28 Golub, Gene Howard 26 Tisseur, Françoise 25 Johnson, Charles Royal 24 Kressner, Daniel 23 Dopico, Froilán M. 20 Ipsen, Ilse C. F. 20 Serra-Capizzano, Stefano 19 Chu, Delin 19 Li, Chi-Kwong 19 Lin, Wen-Wei 18 Demmel, James Weldon 18 Guglielmi, Nicola 18 Ng, Michael Kwok-Po 18 Rodman, Leiba X. 17 Li, Rencang 17 Saad, Yousef 16 Chandrasekaran, Shivkumar 16 Chu, Moody T. 16 Guo, Chun-Hua 16 Mathias, Roy 16 Neumann, Michael 16 Overton, Michael L. 16 Paige, Christopher C. 15 Xia, Jianlin 14 Gratton, Serge 14 Meerbergen, Karl 14 Mehl, Christian 14 Nakatsukasa, Yuji 14 Vandebril, Raf 14 Watkins, David S. 14 Wei, Yimin 13 Barlow, Jesse L. 13 Drmač, Zlatko 13 Kågström, Bo 13 Simoncini, Valeria 13 Van Barel, Marc 12 Eisenstat, Stanley C. 12 Laub, Alan J. 12 Park, Haesun 12 Stewart, Gilbert Wright 12 Szyld, Daniel B. 11 Bai, Zhaojun 11 De Moor, Bart L. R. 11 Duff, Iain S. 11 Frommer, Andreas 11 Greenbaum, Anne 11 Kailath, Thomas 11 Kirkland, Stephen J. 11 Liu, Joseph W. H. 11 Mackey, D. Steven 11 Nabben, Reinhard 11 Ng, Esmond G. 11 Olesky, D. Dale 11 Qi, Liqun 11 Sun, Jiguang 11 Zha, Hongyuan 10 Benner, Peter 10 Benzi, Michele 10 Lancaster, Peter 10 Moro, Julio 10 Schneider, Hans 10 Stegeman, Alwin 10 Stewart, Michael 10 Titley-Péloquin, David 10 Toledo, Sivan 10 van den Driessche, Pauline 10 Xi, Yuanzhe 10 Zhang, Zhenyue 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 Rump, Siegfried Michael 9 Sayed, Ali H. 9 Strakoš, Zdeněk 9 Tan, Roger C. E. 9 Woerdeman, Hugo Jan 8 Alam, Rafikul 8 Beckermann, Bernhard 8 Bora, Shreemayee 8 Davis, Timothy Alden 8 Dieci, Luca 8 Eldén, Lars ...and 2,503 more Authors all top 5 Fields 1,865 Numerical analysis (65-XX) 1,419 Linear and multilinear algebra; matrix theory (15-XX) 213 Operations research, mathematical programming (90-XX) 198 Systems theory; control (93-XX) 137 Operator theory (47-XX) 126 Combinatorics (05-XX) 110 Statistics (62-XX) 104 Probability theory and stochastic processes (60-XX) 97 Computer science (68-XX) 89 Partial differential equations (35-XX) 64 Calculus of variations and optimal control; optimization (49-XX) 48 Ordinary differential equations (34-XX) 47 Approximations and expansions (41-XX) 47 Information and communication theory, circuits (94-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 26 Differential geometry (53-XX) 25 Algebraic geometry (14-XX) 19 Real functions (26-XX) 19 Biology and other natural sciences (92-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Difference and functional equations (39-XX) 15 Quantum theory (81-XX) 14 Convex and discrete geometry (52-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Functions of a complex variable (30-XX) 12 Fluid mechanics (76-XX) 10 Commutative algebra (13-XX) 10 Mechanics of particles and systems (70-XX) 9 Number theory (11-XX) 9 Special functions (33-XX) 9 Integral equations (45-XX) 9 Functional analysis (46-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Mechanics of deformable solids (74-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) 4 Classical thermodynamics, heat transfer (80-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 2,315 Publications have been cited 37,152 times in 19,007 Documents Cited by ▼ Year ▼ Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems. Zbl 1036.65032Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K. 641 2003 A multilinear singular value decomposition. Zbl 0962.15005De Lathauwer, Lieven; De Moor, Bart; Vandewalle, Joos 437 2000 The geometry of algorithms with orthogonality constraints. Zbl 0928.65050Edelman, Alan; Arias, Tomás A.; Smith, Steven T. 421 1998 A fully asynchronous multifrontal solver using distributed dynamic scheduling. Zbl 0992.65018Amestoy, Patrick R.; Duff, Iain S.; L’Excellent, Jean-Yves; Koster, Jacko 369 2001 On the best rank-1 and rank-\((R_1,R_2,. . .,R_N)\) approximation of higher-order tensors. Zbl 0958.15026De Lathauwer, Lieven; De Moor, Bart; Vandewalle, Joos 268 2000 Implicit application of polynomial filters in a \(k\)-step Arnoldi method. Zbl 0763.65025Sorensen, Danny C. 255 1992 A preconditioner for generalized saddle point problems. Zbl 1082.65034Benzi, Michele; Golub, Gene H. 254 2004 Further results for Perron-Frobenius theorem for nonnegative tensors. Zbl 1227.15014Yang, Yuning; Yang, Qingzhi 248 2010 Tensor rank and the ill-posedness of the best low-rank approximation problem. Zbl 1167.14038de Silva, Vin; Lim, Lek-Heng 241 2008 Robust solutions to least-squares problems with uncertain data. Zbl 0891.65039El Ghaoui, Laurent; Lebret, Hervé 230 1997 The Laplacian spectrum of a graph. Zbl 0733.05060Grone, Robert; Merris, Russell; Sunder, V. S. 213 1990 \(\mathcal{H}_2\) model reduction for large-scale linear dynamical systems. Zbl 1159.93318Gugercin, S.; Antoulas, A. C.; Beattie, C. 199 2008 A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0860.65023Sleijpen, Gerard L. G.; van der Vorst, Henk A. 198 1996 Finding the largest eigenvalue of a nonnegative tensor. Zbl 1197.65036Ng, Michael; Qi, Liqun; Zhou, Guanglu 186 2010 Eigenvalues and condition numbers of random matrices. Zbl 0678.15019Edelman, Alan 170 1988 Symmetric tensors and symmetric tensor rank. Zbl 1181.15014Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard 169 2008 Constraint preconditioning for indefinite linear systems. Zbl 0960.65052Keller, Carsten; Gould, Nicholas I. M.; Wathen, Andrew J. 168 2000 On the best rank-1 approximation of higher-order supersymmetric tensors. Zbl 1001.65035Kofidis, Eleftherios; Regalia, Phillip A. 160 2002 A differential geometric approach to the geometric mean of symmetric positive-definite matrices. Zbl 1079.47021Moakher, Maher 157 2005 Some noninterior continuation methods for linear complementarity problems. Zbl 0868.90123Kanzow, Christian 152 1996 Partitioning sparse matrices with eigenvectors of graphs. Zbl 0711.65034Pothen, Alex; Simon, Horst D.; Liou, Kang-Pu 150 1990 \(M\)-tensors and some applications. Zbl 1307.15034Zhang, Liping; Qi, Liqun; Zhou, Guanglu 147 2014 Shifted power method for computing tensor eigenpairs. Zbl 1247.65048Kolda, Tamara G.; Mayo, Jackson R. 146 2011 Rank-one approximation to high order tensors. Zbl 1001.65036Zhang, Tong; Golub, Gene H. 141 2001 Vector spaces of linearizations for matrix polynomials. Zbl 1132.65027Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker 137 2006 Structured polynomial eigenvalue problems: Good vibrations from good linearizations. Zbl 1132.65028Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker 137 2006 Hierarchical singular value decomposition of tensors. Zbl 1210.65090Grasedyck, Lars 133 2010 Hankel matrix rank minimization with applications to system identification and realization. Zbl 1302.90127Fazel, Maryam; Pong, Ting Kei; Sun, Defeng; Tseng, Paul 130 2013 A preconditioned iterative method for saddlepoint problems. Zbl 0760.65033Rusten, Torgeir; Winther, Ragnar 124 1992 Further results for Perron-Frobenius theorem for nonnegative tensors. II. Zbl 1426.15011Yang, Qingzhi; Yang, Yuning 124 2011 Deflation techniques for an implicitly restarted Arnoldi iteration. Zbl 0863.65016Lehoucq, R. B.; Sorensen, D. C. 123 1996 On the convergence of the multisplitting methods for the linear complementarity problem. Zbl 0942.65059Bai, Zhongzhi 122 1999 A Krylov–Schur algorithm for large eigenproblems. Zbl 1003.65045Stewart, G. W. 113 2001 Constraint preconditioners for symmetric indefinite matrices. Zbl 1195.65033Bai, Zhong-Zhi; Ng, Michael K.; Wang, Zeng-Qi 112 2009 The scaling and squaring method for the matrix exponential revisited. Zbl 1081.65037Higham, Nicholas J. 112 2005 A supernodal approach to sparse partial pivoting. Zbl 0931.65022Demmel, James W.; Eisenstat, Stanley C.; Gilbert, John R.; Li, Xiaoye S.; Liu, Joseph W. H. 107 1999 Factorized sparse approximate inverse preconditionings. I: Theory. Zbl 0767.65037Kolotilina, L. Yu.; Eremin, A. Yu. 107 1993 Low rank solution of Lyapunov equations. Zbl 1016.65024Li, Jing-Rebecca; White, Jacob 105 2002 More matrix forms of the arithmetic-geometric mean inequality. Zbl 0767.15012Bhatia, Rajendra; Davis, Chandler 100 1993 A review on the inverse of symmetric tridiagonal and block tridiagonal matrices. Zbl 0754.65029Meurant, Gérard 99 1992 A quadratically convergent Newton method for computing the nearest correlation matrix. Zbl 1120.65049Qi, Houduo; Sun, Defeng 98 2006 An approximate minimum degree ordering algorithm. Zbl 0861.65021Amestoy, Patrick R.; Davis, Timothy A.; Duff, Iain S. 98 1996 Optimal and superoptimal circulant preconditioners. Zbl 0774.65024Tyrtyshnikov, Evgenij E. 97 1992 A non-interior-point continuation method for linear complementarity problems. Zbl 0788.65073Chen, Bintong; Harker, Patrick T. 97 1993 Application of ADI iterative methods to the restoration of noisy images. Zbl 0849.65101Calvetti, D.; Reichel, L. 96 1996 On the singular values of a product of operators. Zbl 0704.47014Bhatia, Rajendra; Kittaneh, Fuad 96 1990 Superfast solutions of real positive definite Toeplitz systems. Zbl 0658.65022Ammar, Gregory S.; Gragg, William B. 94 1988 Randomized extended Kaczmarz for solving least squares. Zbl 1273.65053Zouzias, Anastasios; Freris, Nikolaos M. 94 2013 Interior-point method for nuclear norm approximation with application to system identification. Zbl 1201.90151Liu, Zhang; Vandenberghe, Lieven 93 2010 An unsymmetric-pattern multifrontal method for sparse LU factorization. Zbl 0884.65021Davis, Timothy A.; Duff, Iain S. 93 1997 How fast are nonsymmetric matrix iterations? Zbl 0754.65036Nachtigal, Noël M.; Reddy, Satish C.; Trefethen, Lloyd N. 92 1992 Extended Krylov subspaces: Approximation of the matrix square root and related functions. Zbl 0912.65022Druskin, Vladimir; Knizhnerman, Leonid 92 1998 Primitivity, the convergence of the NQZ method, and the largest eigenvalue for nonnegative tensors. Zbl 1244.65052Chang, Kung-Ching; Pearson, Kelly J.; Zhang, Tan 89 2011 A fast ULV decomposition solver for hierarchically semiseparable representations. Zbl 1120.65031Chandrasekaran, S.; Gu, M.; Pals, T. 88 2006 Tikhonov regularization and total least squares. Zbl 0945.65042Golub, Gene H.; Hansen, Per Christian; O’Leary, Dianne P. 88 1999 A restarted GMRES method augmented with eigenvectors. Zbl 0836.65050Morgan, Ronald B. 86 1995 Any nonincreasing convergence curve is possible for GMRES. Zbl 0857.65029Greenbaum, Anne; Pták, Vlastimil; Strakoš, Zdeněk 85 1996 Third-order tensors as operators on matrices: a theoretical and computational framework with applications in imaging. Zbl 1269.65044Kilmer, Misha E.; Braman, Karen; Hao, Ning; Hoover, Randy C. 84 2013 Orthogonal tensor decompositions. Zbl 1005.15020Kolda, Tamara G. 84 2001 Superfast multifrontal method for large structured linear systems of equations. Zbl 1195.65031Xia, Jianlin; Chandrasekaran, Shivkumar; Gu, Ming; Li, Xiaoye S. 83 2010 Dynamical low-rank approximation. Zbl 1145.65031Koch, Othmar; Lubich, Christian 82 2007 Jacobi’s method is more accurate than QR. Zbl 0759.65011Demmel, James; Veselić, Krešimir 81 1992 Geometric means in a novel vector space structure on symmetric positive-definite matrices. Zbl 1144.47015Arsigny, Vincent; Fillard, Pierre; Pennec, Xavier; Ayache, Nicholas 81 2007 First-order methods for sparse covariance selection. Zbl 1156.90423d’Aspremont, Alexandre; Banerjee, Onureena; El Ghaoui, Laurent 80 2008 Nonsymmetric algebraic Riccati equations and Wiener-Hopf factorization for M-matrices. Zbl 0996.65047Guo, Chun-Hua 79 2001 A new scaling and squaring algorithm for the matrix exponential. Zbl 1194.15021Al-Mohy, Awad H.; Higham, Nicholas J. 78 2010 Representations for the Drazin inverse of a \(2 \times 2\) block matrix. Zbl 1100.15003Hartwig, Robert; Li, Xiezhang; Wei, Yimin 77 2006 Generalized reflexive matrices: Special properties and applications. Zbl 0910.15005Chen, Hsin-Chu 76 1998 Krylov subspace methods for linear systems with tensor product structure. Zbl 1208.65044Kressner, Daniel; Tobler, Christine 75 2010 Determinant maximization with linear matrix inequality constraints. Zbl 0959.90039Vandenberghe, Lieven; Boyd, Stephen; Wu, Shao-Po 75 1998 On an iteration method for solving a class of nonlinear matrix equations. Zbl 1002.65061El-Sayed, Salah M.; Ran, André C. M. 74 2001 Choosing regularization parameters in iterative methods for ill-posed problems. Zbl 0983.65056Kilmer, Misha E.; O’Leary, Dianne P. 73 2001 The role of elimination trees in sparse factorization. Zbl 0697.65013Liu, Joseph W. H. 73 1990 Low-rank tensor Krylov subspace methods for parametrized linear systems. Zbl 1237.65034Kressner, Daniel; Tobler, Christine 73 2011 GMRES on (nearly) singular systems. Zbl 0876.65019Brown, Peter N.; Walker, Homer F. 72 1997 SOAR: A second-order Arnoldi method for the solution of the quadratic eigenvalue problem. Zbl 1080.65024Bai, Zhaojun; Su, Yangfeng 72 2005 Thick-restart Lanczos method for large symmetric eigenvalue problems. Zbl 0969.65030Wu, Kesheng; Simon, Horst 71 2000 Solving multilinear systems via tensor inversion. Zbl 1273.15028Brazell, M.; Li, N.; Navasca, C.; Tamon, C. 70 2013 A generalization of the Hermitian and skew-Hermitian splitting iteration. Zbl 1191.65025Benzi, Michele 69 2009 Relative-error CUR matrix decompositions. Zbl 1183.68738Drineas, Petros; Mahoney, Michael W.; Muthukrishnan, S. 68 2008 Symmetric indefinite preconditioners for saddle point problems with applications to PDE-constrained optimization problems. Zbl 1154.65029Schöberl, Joachim; Zulehner, Walter 67 2007 All real eigenvalues of symmetric tensors. Zbl 1312.65053Cui, Chun-Feng; Dai, Yu-Hong; Nie, Jiawang 67 2014 Symmetric linearizations for matrix polynomials. Zbl 1137.15006Higham, Nicholas J.; Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise 67 2006 The Parter–Wiener theorem: Refinement and generalization. Zbl 1067.15003Johnson, Charles R.; Duarte, António Leal; Saiago, Carlos M. 66 2003 Mixed, componentwise, and structured condition numbers. Zbl 0780.15004Gohberg, I.; Koltracht, I. 66 1993 Convergence properties of the randomized extended Gauss-Seidel and Kaczmarz methods. Zbl 1327.65112Ma, Anna; Needell, Deanna; Ramdas, Aaditya 65 2015 Randomized iterative methods for linear systems. Zbl 1342.65110Gower, Robert M.; Richtárik, Peter 65 2015 Fiedler companion linearizations and the recovery of minimal indices. Zbl 1205.15024de Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven 65 2010 Semidefinite relaxations for best rank-1 tensor approximations. Zbl 1305.65134Nie, Jiawang; Wang, Li 64 2014 A characterization and representation of the Drazin inverse. Zbl 0872.15006Wei, Yimin 63 1996 Accurate computations with totally nonnegative matrices. Zbl 1198.65057Koev, Plamen 62 2007 Approximation of \(2^d\times2^d\) matrices using tensor decomposition. Zbl 1200.15005Oseledets, I. V. 62 2010 A link between the canonical decomposition in multilinear algebra and simultaneous matrix diagonalization. Zbl 1126.15007De Lathauwer, Lieven 61 2006 On smooth decompositions of matrices. Zbl 0930.15014Dieci, Luca; Eirola, Timo 60 1999 Interpolation-based \({\mathcal H}_2\)-model reduction of bilinear control systems. Zbl 1256.93027Benner, Peter; Breiten, Tobias 60 2012 On the iterative solution of a class of nonsymmetric algebraic Riccati equations. Zbl 0973.65025Guo, Chun-Hua; Laub, Alan J. 60 2000 Nonnegative matrix factorization based on alternating nonnegativity constrained least squares and active set method. Zbl 1162.65354Kim, Hyunsoo; Park, Haesun 59 2008 Accurate eigenvalues and SVDs of totally nonnegative matrices. Zbl 1095.65031Koev, Plamen 59 2005 Spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for saddle point problems. Zbl 1083.65047Simoncini, Valeria; Benzi, Michele 58 2004 Derivatives of eigenvalues and eigenvectors of matrix functions. Zbl 0786.15011Andrew, Alan L.; Chu, K.-W. Eric; Lancaster, Peter 58 1993 Input-tailored system-theoretic model order reduction for quadratic-bilinear systems. Zbl 1480.93056Liljegren-Sailer, Björn; Marheineke, Nicole 3 2022 On the condition number of the shifted real Ginibre ensemble. Zbl 1496.15025Cipolloni, Giorgio; Erdös, László; Schröder, Dominik 2 2022 Sharp estimation of convergence rate for self-consistent field iteration to solve eigenvector-dependent nonlinear eigenvalue problems. Zbl 1492.65142Bai, Zhaojun; Li, Ren-Cang; Lu, Ding 2 2022 Divide-and-conquer methods for functions of matrices with banded or hierarchical low-rank structure. Zbl 1482.65071Cortinovis, Alice; Kressner, Daniel; Massei, Stefano 1 2022 Maximal rank of \(m\times n\times 2\) tensors over arbitrary fields. Zbl 1493.15079Song, Xiaoyu; Zheng, Baodong; Huang, Riguang 1 2022 Fast deterministic approximation of symmetric indefinite kernel matrices with high dimensional datasets. Zbl 07556094Cai, Difeng; Nagy, James; Xi, Yuanzhe 1 2022 Matrix pencils with coefficients that have positive semidefinite Hermitian parts. Zbl 1496.15008Mehl, C.; Mehrmann, V.; Wojtylak, M. 1 2022 Fast approximation of the \(p\)-radius, matrix pressure, or generalized Lyapunov exponent for positive and dominated matrices. Zbl 1487.37099Morris, Ian D. 1 2022 Arbitrary precision algorithms for computing the matrix cosine and its Fréchet derivative. Zbl 07487115Al-Mohy, Awad H.; Higham, Nicholas J.; Liu, Xiaobo 1 2022 Structure preserving quaternion generalized minimal residual method. Zbl 1468.65030Jia, ZhiGang; Ng, Michael K. 6 2021 On adaptive sketch-and-project for solving linear systems. Zbl 07365306Gower, Robert M.; Molitor, Denali; Moorman, Jacob; Needell, Deanna 6 2021 Analysis of probing techniques for sparse approximation and trace estimation of decaying matrix functions. Zbl 07398755Frommer, Andreas; Schimmel, Claudia; Schweitzer, Marcel 6 2021 Convergence analysis of direct minimization and self-consistent iterations. Zbl 1467.65054Cancès, Éric; Kemlin, Gaspard; Levitt, Antoine 5 2021 Randomized Kaczmarz converges along small singular vectors. Zbl 07340704Steinerberger, Stefan 5 2021 A multiprecision derivative-free Schur-Parlett algorithm for computing matrix functions. Zbl 1476.65067Higham, Nicholas J.; Liu, Xiaobo 5 2021 Triple decomposition and tensor recovery of third order tensors. Zbl 1467.15020Qi, Liqun; Chen, Yannan; Bakshi, Mayank; Zhang, Xinzhen 3 2021 A comparison of limited-memory Krylov methods for Stieltjes functions of Hermitian matrices. Zbl 1459.65057Güttel, Stefan; Schweitzer, Marcel 3 2021 Perturbations of CUR decompositions. Zbl 07331677Hamm, Keaton; Huang, Longxiu 2 2021 Optimal complex relaxation parameters in multigrid for complex-shifted linear systems. Zbl 1468.65218Hocking, L. Robert; Greif, Chen 2 2021 Efficient construction of an HSS preconditioner for symmetric positive definite \(\mathcal{H}^2\) matrices. Zbl 07340708Xing, Xin; Huang, Hua; Chow, Edmond 2 2021 Componentwise perturbation analysis of the Schur decomposition of a matrix. Zbl 1459.65051Petkov, Petko H. 2 2021 Norm and trace estimation with random rank-one vectors. Zbl 1459.65053Bujanovic, Zvonimir; Kressner, Daniel 2 2021 A convex relaxation to compute the nearest structured rank deficient matrix. Zbl 1466.15031Cifuentes, Diego 2 2021 Locating conical degeneracies in the spectra of parametric self-adjoint matrices. Zbl 1467.65028Berkolaiko, Gregory; Parulekar, Advait 1 2021 Lower memory oblivious (tensor) subspace embeddings with fewer random bits: modewise methods for least squares. Zbl 07331678Iwen, Mark A.; Needell, Deanna; Rebrova, Elizaveta; Zare, Ali 1 2021 Matrices with tunable infinity-norm condition number and no need for pivoting in LU factorization. Zbl 1467.65035Fasi, Massimiliano; Higham, Nicholas J. 1 2021 Stability of linear GMRES convergence with respect to compact perturbations. Zbl 1467.65025Blechta, Jan 1 2021 From computation to comparison of tensor decompositions. Zbl 1480.15031Domanov, Ignat; De Lathauwer, Lieven 1 2021 Geodesically parameterized covariance estimation. Zbl 1466.53018Musolas, Antoni; Smith, Steven T.; Marzouk, Youssef 1 2021 Structured inversion of the Bernstein-Vandermonde matrix. Zbl 1468.65025Allen, Larry; Kirby, Robert C. 1 2021 A power Schur complement low-rank correction preconditioner for general sparse linear systems. Zbl 07340707Zheng, Qingqing; Xi, Yuanzhe; Saad, Yousef 1 2021 Nonlinearizing two-parameter eigenvalue problems. Zbl 07365300Ringh, Emil; Jarlebring, Elias 1 2021 Orthogonal trace-sum maximization: applications, local algorithms, and global optimality. Zbl 1467.49022Won, Joong-Ho; Zhou, Hua; Lange, Kenneth 1 2021 A linear relation approach to port-Hamiltonian differential-algebraic equations. Zbl 07365308Gernandt, Hannes; Haller, Frédéric Enrico; Reis, Timo 1 2021 Efficient algorithms for eigensystem realization using randomized SVD. Zbl 1467.93073Minster, Rachel; Saibaba, Arvind K.; Kar, Jishnudeep; Chakrabortty, Aranya 1 2021 Spectral properties of kernel matrices in the flat limit. Zbl 1458.15012Barthelmé, Simon; Usevich, Konstantin 1 2021 Low rank pure quaternion approximation for pure quaternion matrices. Zbl 07310617Song, Guangjing; Ding, Weiyang; Ng, Michael K. 1 2021 Random matrices generating large growth in LU factorization with pivoting. Zbl 1459.65036Higham, Desmond J.; Higham, Nicholas J.; Pranesh, Srikara 1 2021 Subspace recycling-based regularization methods. Zbl 07436654Ramlau, Ronny; Soodhalter, Kirk M.; Hutterer, Victoria 1 2021 Absolute variation of Ritz values, principal angles, and spectral spread. Zbl 1479.15024Massey, Pedro; Stojanoff, Demetrio; Zárate, Sebastián 1 2021 Finding the nearest passive or nonpassive system via Hamiltonian eigenvalue optimization. Zbl 1483.65097Fazzi, Antonio; Guglielmi, Nicola; Lubich, Christian 1 2021 Mittag-Leffler functions and their applications in network science. Zbl 1490.33007Arrigo, Francesca; Durastante, Fabio 1 2021 The stability of block variants of classical Gram-Schmidt. Zbl 1476.65060Carson, Erin; Lund, Kathryn; Rozložník, Miroslav 1 2021 Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems. Zbl 1461.93180Mehrmann, Volker; Van Dooren, Paul 1 2021 Stochastic reformulations of linear systems: algorithms and convergence theory. Zbl 1440.65045Richtárik, Peter; Takáč, Martin 15 2020 Conditioning of partial nonuniform Fourier matrices with clustered nodes. Zbl 1432.65050Batenkov, Dmitry; Demanet, Laurent; Goldman, Gil; Yomdin, Yosef 13 2020 Quotient geometry with simple geodesics for the manifold of fixed-rank positive-semidefinite matrices. Zbl 1433.53064Massart, Estelle; Absil, P.-A. 11 2020 A fast block \(\alpha\)-circulant preconditoner for all-at-once systems from wave equations. Zbl 1460.65102Liu, Jun; Wu, Shu-Lin 10 2020 Optimal robustness of port-Hamiltonian systems. Zbl 1440.93067Mehrmann, Volker; Van Dooren, Paul M. 8 2020 An algebraic sparsified nested dissection algorithm using low-rank approximations. Zbl 1441.65048Cambier, Léopold; Chen, Chao; Boman, Erik G.; Rajamanickam, Sivasankaran; Tuminaro, Raymond S.; Darve, Eric 8 2020 Solving the three-dimensional high-frequency Helmholtz equation using contour integration and polynomial preconditioning. Zbl 1434.65234Liu, Xiao; Xi, Yuanzhe; Saad, Yousef; de Hoop, Maarten V. 7 2020 Riemannian modified Polak-Ribière-Polyak conjugate gradient order reduced model by tensor techniques. Zbl 1441.93045Jiang, Yao-Lin; Xu, Kang-Li 7 2020 Computing closest stable nonnegative matrix. Zbl 1448.65027Nesterov, Yu.; Protasov, V. Yu. 6 2020 Hybrid matrix compression for high-frequency problems. Zbl 1459.35092Börm, Steffen; Börst, Christina 6 2020 The computation of low multilinear rank approximations of tensors via power scheme and random projection. Zbl 07206106Che, Maolin; Wei, Yimin; Yan, Hong 6 2020 Uniform bounds for invariant subspace perturbations. Zbl 07301584Damle, Anil; Sun, Yuekai 5 2020 Solving quadratic matrix equations arising in random walks in the quarter plane. Zbl 1441.15010Bini, Dario A.; Meini, Beatrice; Meng, Jie 5 2020 Interpolative decomposition via proxy points for kernel matrices. Zbl 1432.65052Xing, Xin; Chow, Edmond 4 2020 The block rational Arnoldi method. 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Zbl 1429.65063García Ramos, Luis; Kehl, René; Nabben, Reinhard 2 2020 On Strassen’s rank additivity for small three-way tensors. Zbl 1429.15021Buczyński, Jarosław; Postinghel, Elisa; Rupniewski, Filip 2 2020 Solving the problem of simultaneous diagonalization of complex symmetric matrices via congruence. Zbl 1456.15010Bustamante, Miguel D.; Mellon, Pauline; Velasco, M. Victoria 2 2020 Unit triangular factorization of the matrix symplectic group. Zbl 1456.15013Jin, Pengzhan; Tang, Yifa; Zhu, Aiqing 2 2020 Low-rank approximation in the Frobenius norm by column and row subset selection. Zbl 07301504Cortinovis, Alice; Kressner, Daniel 2 2020 Computing enclosures for the matrix exponential. Zbl 1459.65056Frommer, Andreas; Hashemi, Behnam 2 2020 Smoothing splines and rank structured matrices: revisiting the spline kernel. Zbl 1440.65038Andersen, Martin S.; Chen, Tianshi 2 2020 Majorization bounds for Ritz values of self-adjoint matrices. 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Zbl 07122459Gautier, Antoine; Tudisco, Francesco; Hein, Matthias 11 2019 ...and 1692 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 18,799 Authors 171 Wei, Yimin 126 Ma, Changfeng 120 Qi, Liqun 119 Huang, Ting-Zhu 115 Benner, Peter 113 Reichel, Lothar 99 Serra-Capizzano, Stefano 82 Wang, Qingwen 79 Peña, Juan Manuel 73 Mehrmann, Volker 71 Ng, Michael Kwok-Po 71 Zhang, Guofeng 68 Johnson, Charles Royal 67 Van Barel, Marc 65 Bai, Zhongzhi 64 Li, Wen 61 Li, Rencang 60 Kressner, Daniel 60 Van Dooren, Paul M. 57 Hajarian, Masoud 55 Dopico, Froilán M. 54 Jbilou, Khalide 54 Li, Chaoqian 54 Lin, Wen-Wei 51 Simoncini, Valeria 50 Li, Yaotang 50 Zheng, Bing 46 Benzi, Michele 46 Jiang, Yaolin 46 Kittaneh, Fuad 45 Higham, Nicholas J. 45 Vandebril, Raf 44 Jia, Zhongxiao 42 Bu, Changjiang 42 Li, Chi-Kwong 41 Jin, Xiaoqing 41 Khojasteh Salkuyeh, Davod 41 Pan, Victor Yakovlevich 40 Bini, Dario Andrea 40 Dehghan Takht Fooladi, Mehdi 40 Tian, Yongge 39 Wu, Shiliang 38 Chen, Guoliang 38 Huang, Zheng-Hai 38 Liang, Zhaozheng 38 Oseledets, Ivan Valer’evich 38 Sun, Defeng 37 Gugercin, Serkan 36 Dai, Hua 36 Gemignani, Luca 36 Guglielmi, Nicola 36 Li, Cuixia 36 Toh, Kim Chuan 35 Axelsson, Axel Owe Holger 35 Khoromskiĭ, Boris Nikolaevich 35 Lim, Yongdo 35 Saad, Yousef 35 Vong, Seakweng 34 Donatelli, Marco 34 Neumann, Michael 34 Tyrtyshnikov, Evgeniĭ Evgen’evich 33 Ballico, Edoardo 33 Hladík, Milan 33 Rodman, Leiba X. 33 Wu, Yujiang 32 Huang, Zhengge 32 Kirkland, Stephen J. 32 Li, Hanyu 32 Liu, Jianzhou 32 Lu, Linzhang 32 Nakatsukasa, Yuji 32 Noferini, Vanni 32 Psarrakos, Panayiotis J. 32 Zhang, Lei-Hong 31 Cao, Yang 31 Hadjidimos, Apostolos 31 Meini, Beatrice 31 Szyld, Daniel B. 30 De Lathauwer, Lieven 30 de Terán, Fernando 30 Hackbusch, Wolfgang 30 Yang, Aili 29 Cui, Jingjing 29 Ikramov, Saidkhakim Dododshanovich 29 Mastronardi, Nicola 29 Wang, Yiju 29 Yuan, Yongxin 28 Absil, Pierre-Antoine 28 He, ZhuoHeng 28 Huang, Rong 28 Ran, André C. 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