Numerical Linear Algebra with Applications Short Title: Numer. Linear Algebra Appl. Publisher: Wiley, Chichester ISSN: 1070-5325; 1099-1506/e Online: https://onlinelibrary.wiley.com/loi/10991506 Comments: Journal; Published electronic only as of Vol. 19 (2012). Print ISSN until then: 1070-5325. 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Yu. 5 Brannick, James J. 5 Cai, Xiao-Chuan 5 Chen, Xiaoshan 5 Dai, Yu-Hong 5 Delgado, Jorge F. M. 5 Duff, Iain S. 5 Ekström, Sven-Erik 5 Friedhoff, Stephanie 5 Garanzha, Vladimir A. 5 Gaspar, Francisco José 5 Gemignani, Luca 5 Grasedyck, Lars 5 Gustafson, Karl Edwin 5 Hayami, Ken 5 Jbilou, Khalide 5 Khoromskaia, Venera 5 Kolev, Tzanio V. 5 Li, Zi-Cai 5 Lindskog, Gunhild 5 Mainar, Esmeralda 5 Mazza, Mariarosa 5 Nagy, James Gerard 5 Nataf, Frédéric 5 Schroder, Jacob B. ...and 1,941 more Authors all top 5 Fields 1,408 Numerical analysis (65-XX) 388 Linear and multilinear algebra; matrix theory (15-XX) 228 Partial differential equations (35-XX) 82 Operations research, mathematical programming (90-XX) 70 Fluid mechanics (76-XX) 63 Mechanics of deformable solids (74-XX) 45 Systems theory; control (93-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 39 Probability theory and stochastic processes (60-XX) 34 Computer science (68-XX) 31 Ordinary differential equations (34-XX) 31 Information and communication theory, circuits (94-XX) 30 General and overarching topics; collections (00-XX) 24 Combinatorics (05-XX) 22 Statistics (62-XX) 20 Optics, electromagnetic theory (78-XX) 18 Operator theory (47-XX) 16 Biology and other natural sciences (92-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Approximations and expansions (41-XX) 9 Integral equations (45-XX) 9 Quantum theory (81-XX) 8 Real functions (26-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Geophysics (86-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Special functions (33-XX) 5 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Algebraic geometry (14-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 1 Field theory and polynomials (12-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,270 Publications have been cited 14,963 times in 9,212 Documents Cited by ▼ Year ▼ Modulus-based matrix splitting iteration methods for linear complementarity problems. Zbl 1240.65181 Bai, Zhong-Zhi 257 2010 ILUT: A dual threshold incomplete LU factorization. Zbl 0838.65026 Saad, Yousef 191 1994 Optimal parameters in the HSS-like methods for saddle-point problems. Zbl 1224.65081 Bai, Zhong-Zhi 183 2009 Preconditioning discretizations of systems of partial differential equations. Zbl 1249.65246 Mardal, Kent-Andre; Winther, Ragnar 158 2011 Fast algorithms for hierarchically semiseparable matrices. Zbl 1240.65087 Xia, Jianlin; Chandrasekaran, Shivkumar; Gu, Ming; Li, Xiaoye S. 148 2010 On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1199.65097 Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K. 145 2007 Recent computational developments in Krylov subspace methods for linear systems. Zbl 1199.65112 Simoncini, Valeria; Szyld, Daniel B. 140 2007 Real valued iterative methods for solving complex symmetric linear systems. Zbl 1051.65025 Axelsson, Owe; Kucherov, Andrey 140 2000 A scalable dual-primal domain decomposition method. Zbl 1051.65119 Farhat, Charbel; Lesoinne, Michael; Pierson, Kendall 135 2000 Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Zbl 1313.65131 Bai, Zhong-Zhi; Zhang, Li-Li 128 2013 A modified modulus method for symmetric positive-definite linear complementarity problems. Zbl 1224.65152 Dong, Jun-Liang; Jiang, Mei-Qun 127 2009 A new approximation of the Schur complement in preconditioners for PDE-constrained optimization. Zbl 1274.65187 Pearson, John W.; Wathen, Andrew J. 120 2012 Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems. Zbl 1212.65245 Benner, Peter; Li, Jing-Rebecca; Penzl, Thilo 118 2008 Two classes of multisecant methods for nonlinear acceleration. Zbl 1224.65134 Fang, Haw-ren; Saad, Yousef 110 2009 Convergence of a balancing domain decomposition by constraints and energy minimization. Zbl 1071.65558 Mandel, Jan; Dohrmann, Clark R. 106 2003 A projection method to solve linear systems in tensor format. Zbl 1289.65049 Ballani, Jonas; Grasedyck, Lars 103 2013 Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036 Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A. 102 1995 New eigenvalue inclusion sets for tensors. Zbl 1324.15026 Li, Chaoqian; Li, Yaotang; Kong, Xu 101 2014 GMRESR: A family of nested GMRES methods. Zbl 0839.65040 Van der Vorst, H. A.; Vuik, C. 94 1994 A practical method for computing the largest \(M\)-eigenvalue of a fourth-order partially symmetric tensor. Zbl 1224.65101 Wang, Yiju; Qi, Liqun; Zhang, Xinzhen 91 2009 Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038 Perugia, I.; Simoncini, V. 88 2000 The \(Z\)-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory. Zbl 1313.65081 Li, Guoyin; Qi, Liqun; Yu, Gaohang 77 2013 A survey on the spectral theory of nonnegative tensors. Zbl 1313.15015 Chang, Kungching; Qi, Liqun; Zhang, Tan 76 2013 Preconditioned GSOR iterative method for a class of complex symmetric system of linear equations. Zbl 1363.65049 Hezari, Davod; Edalatpour, Vahid; Khojasteh Salkuyeh, Davod 71 2015 Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations. Zbl 1174.65382 Deng, Yuan-Bei; Bai, Zhong-Zhi; Gao, Yong-Hua 69 2006 Deflated and augmented Krylov subspace techniques. Zbl 0889.65028 Chapman, A.; Saad, Y. 68 1997 Tridiagonal Toeplitz matrices: properties and novel applications. Zbl 1289.65082 Noschese, Silvia; Pasquini, Lionello; Reichel, Lothar 65 2013 A splitting preconditioner for saddle point problems. Zbl 1249.65065 Cao, Yang; Jiang, Mei-Qun; Zheng, Ying-Long 60 2011 Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations. Zbl 1463.65040 Bai, Zhong-Zhi; Lu, Kang-Ya; Pan, Jian-Yu 56 2017 A new investigation of the extended Krylov subspace method for matrix function evaluations. Zbl 1240.65154 Knizhnerman, L.; Simoncini, V. 56 2010 On the Krylov subspace methods based on tensor format for positive definite Sylvester tensor equations. Zbl 1413.65128 Beik, Fatemeh Panjeh Ali; Saberi Movahed, Farid; Ahmadi-Asl, Salman 56 2016 Harmonic projection methods for large non-symmetric eigenvalue problems. Zbl 0937.65045 Morgan, R. B.; Zeng, M. 55 1998 Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models. Zbl 1289.65048 Bai, Zhong-Zhi 53 2012 Block-triangular preconditioners for PDE-constrained optimization. Zbl 1240.65097 Rees, Tyrone; Stoll, Martin 52 2010 Convergence analysis of a block improvement method for polynomial optimization over unit spheres. Zbl 1374.65105 Wang, Yiju; Caccetta, Louis; Zhou, Guanglu 52 2015 Existence of a low rank or \(\mathcal H\)-matrix approximant to the solution of a Sylvester equation. Zbl 1164.65381 Grasedyck, L. 51 2004 Alternately linearized implicit iteration methods for the minimal nonnegative solutions of the nonsymmetric algebraic Riccati equations. Zbl 1174.65381 Bai, Zhong-Zhi; Guo, Xiao-Xia; Xu, Shu-Fang 51 2006 Efficient preconditioning scheme for block partitioned matrices with structured sparsity. Zbl 1051.65059 Poirier, Bill 51 2000 Preconditioners for the discretized time-harmonic Maxwell equations in mixed form. Zbl 1199.78010 Greif, Chen; Schötzau, Dominik 50 2007 Robust quaternion matrix completion with applications to image inpainting. Zbl 1474.65126 Jia, Zhigang; Ng, Michael K.; Song, Guang-Jing 50 2019 On greedy randomized coordinate descent methods for solving large linear least-squares problems. Zbl 1449.65128 Bai, Zhong-Zhi; Wu, Wen-Ting 49 2019 Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor. Zbl 1274.65129 Zhang, Liping; Qi, Liqun 48 2012 Direct methods and ADI-preconditioned Krylov subspace methods for generalized Lyapunov equations. Zbl 1212.65175 Damm, T. 48 2008 The modulus-based matrix splitting algorithms for a class of weakly nonlinear complementarity problems. Zbl 1413.65253 Huang, Na; Ma, Changfeng 47 2016 Modified Hermitian and skew-Hermitian splitting methods for non-Hermitian positive-definite linear systems. Zbl 1199.65109 Li, Liang; Huang, Ting-Zhu; Liu, Xing-Ping 47 2007 Indefinitely preconditioned inexact Newton method for large sparse equality constrained nonlinear programming problems. Zbl 0937.65066 Lukšan, Ladislav; Vlček, Jan 47 1998 ARMS: an algebraic recursive multilevel solver for general sparse linear systems. Zbl 1071.65001 Saad, Y.; Suchomel, B. 47 2002 Local Fourier analysis for multigrid with overlapping smoothers applied to systems of PDEs. Zbl 1265.65256 MacLachlan, Scott P.; Oosterlee, C. W. 47 2011 Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub-diffusion equations. Zbl 1349.65104 Lu, Xin; Pang, Hong-Kui; Sun, Hai-Wei 46 2015 Tight upper bounds for the convergence of the randomized extended Kaczmarz and Gauss-Seidel algorithms. Zbl 1513.65068 Du, Kui 46 2019 Modulus-based matrix splitting iteration methods for a class of implicit complementarity problems. Zbl 1413.65060 Hong, Jun-Tao; Li, Chen-Liang 45 2016 Several variants of the Hermitian and skew-Hermitian splitting method for a class of complex symmetric linear systems. Zbl 1363.65055 Wu, Shi-Liang 44 2015 Eigenvalue estimates for preconditioned saddle point matrices. Zbl 1224.65080 Axelsson, Owe; Neytcheva, Maya 44 2006 Combination of Jacobi–Davidson and conjugate gradients for the partial symmetric eigenproblem. Zbl 1071.65516 Notay, Y. 44 2002 High quality preconditioning of a general symmetric positive definite matrix based on its \(U^T U + U^T R + R^T U\)-decomposition. Zbl 0969.65037 Kaporin, I. E. 43 1998 Splitting methods for tensor equations. Zbl 1463.65049 Li, Dong-Hui; Xie, Shuilian; Xu, Hong-Ru 42 2017 On two-grid convergence estimates. Zbl 1164.65343 Falgout, Robert D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. 42 2005 Optimal solvers for linear systems with fractional powers of sparse SPD matrices. Zbl 1513.65132 Harizanov, S.; Lazarov, R.; Margenov, S.; Marinov, P.; Vutov, Y. 42 2018 Efficient estimation of eigenvalue counts in an interval. Zbl 1413.65092 Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef 41 2016 Recursive Krylov-based multigrid cycles. Zbl 1212.65132 Notay, Y.; Vassilevski, P. S. 41 2008 Augmentation block preconditioners for saddle point-type matrices with singular \((1,1)\) blocks. Zbl 1212.65146 Cao, Zhi-Hao 41 2008 A Power-Arnoldi algorithm for computing PageRank. Zbl 1199.65125 Wu, Gang; Wei, Yimin 40 2007 Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. Zbl 1224.65263 Dobrev, Veselin A.; Lazarov, Raytcho D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. 40 2006 Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems. Zbl 1274.65313 Bastian, Peter; Blatt, Markus; Scheichl, Robert 40 2012 A survey of spectral factorization methods. Zbl 1053.47013 Sayed, A. H.; Kailath, T. 39 2001 Robust tensor completion using transformed tensor singular value decomposition. Zbl 07217207 Song, Guangjing; Ng, Michael K.; Zhang, Xiongjun 39 2020 A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test. Zbl 1438.65060 Chen, Haibin; Chen, Yannan; Li, Guoyin; Qi, Liqun 38 2018 A probing method for computing the diagonal of a matrix inverse. Zbl 1274.65132 Tang, Jok M.; Saad, Yousef 37 2012 Decoupling preconditioners in the implicit parallel accurate reservoir simulator (IPARS). Zbl 1071.76583 Lacroix, Sébastien; Vassilevski, Yuri V.; Wheeler, Mary F. 37 2001 An algebraic multigrid method for finite element discretizations with edge elements. Zbl 1071.65170 Reitzinger, S.; Schöberl, J. 37 2002 The inverse problem of bisymmetric matrices with a submatrix constraint. Zbl 1164.15322 Peng, Zhen-yun; Hu, Xi-yan; Zhang, Lei 36 2004 A simpler GMRES. Zbl 0838.65030 Walker, Homer F.; Zhou, Lu 36 1994 On the convergence of shifted Laplace preconditioner combined with multilevel deflation. Zbl 1313.65293 Sheikh, A. H.; Lahaye, D.; Vuik, C. 35 2013 Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic. Zbl 0831.65042 Druskin, Vladimir; Knizhnerman, Leonid 35 1995 A finite volume element method for a non-linear elliptic problem. Zbl 1164.65494 Chatzipantelidis, P.; Ginting, V.; Lazarov, R. D. 35 2005 Trace optimization and eigenproblems in dimension reduction methods. Zbl 1249.65075 Kokiopoulou, E.; Chen, Jie; Saad, Yousef 35 2011 Distance-two interpolation for parallel algebraic multigrid. Zbl 1212.65139 Sterck, Hans De; Falgout, Robert D.; Nolting, Joshua W.; Yang, Ulrike Meier 35 2008 Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. Zbl 1051.65050 Carpentieri, B.; Duff, I. S.; Giraud, L. 34 2000 A waveform relaxation algorithm with overlapping splitting for reaction diffusion equations. Zbl 0983.65107 Gander, Martin J. 34 1999 Diagonally compensated reduction and related preconditioning methods. Zbl 0837.65023 Axelsson, O.; Kolotilina, L. 34 1994 New convergence results and preconditioning strategies for the conjugate gradient method. Zbl 0837.65027 Kaporin, I. E. 34 1994 A note on the representation and definition of semiseparable matrices. Zbl 1164.15341 Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola 34 2005 Efficient approximation of random fields for numerical applications. Zbl 1349.65048 Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus 33 2015 On the convergence of general stationary iterative methods for range-Hermitian singular linear systems. Zbl 1240.65120 Zhang, Naimin; Wei, Yi-Min 33 2010 Fast Hankel tensor-vector product and its application to exponential data fitting. Zbl 1349.65070 Ding, Weiyang; Qi, Liqun; Wei, Yimin 33 2015 Displacement decomposition – incomplete factorization preconditioning techniques for linear elasticity problems. Zbl 0837.65021 Blaheta, Radim 33 1994 Data-driven model order reduction of quadratic-bilinear systems. Zbl 1513.93013 Gosea, Ion Victor; Antoulas, Athanasios C. 33 2018 Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form. Zbl 1224.65099 Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker 32 2009 Indefinitely preconditioned conjugate gradient method for large sparse equality and inequality constrained quadratic problems. Zbl 1071.65512 Durazzi, C.; Ruggiero, V. 32 2003 Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function. Zbl 1324.49026 Pearson, John W.; Stoll, Martin; Wathen, Andrew J. 32 2014 A fast algorithm for the spectral radii of weakly reducible nonnegative tensors. Zbl 1499.65132 Zhou, Guanglu; Wang, Gang; Qi, Liqun; Alqahtani, Mohammed 32 2018 Local Fourier analysis of the complex shifted Laplacian preconditioner for Helmholtz problems. Zbl 1313.65320 Cools, Siegfried; Vanroose, Wim 31 2013 GCV for Tikhonov regularization via global Golub-Kahan decomposition. Zbl 1374.65064 Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe 31 2016 A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528 Benzi, Michele; Tůma, Miroslav 31 2003 A sequential subspace projection method for extreme Z-eigenvalues of supersymmetric tensors. Zbl 1363.65063 Hao, C. L.; Cui, C. F.; Dai, Y. H. 31 2015 On the use of two QMR algorithms for solving singular systems and applications in Markov chain modeling. Zbl 0840.65021 Freund, Roland W.; Hochbruck, Marlis 31 1994 On SSOR-like preconditioners for non-Hermitian positive definite matrices. Zbl 1413.65040 Bai, Zhong-Zhi 30 2016 A new subspace iteration method for the algebraic Riccati equation. Zbl 1363.65076 Lin, Yiding; Simoncini, Valeria 30 2015 Stability of block. Zbl 0834.65010 Demmel, James W.; Higham, Nicholas J.; Schreiber, Robert S. 30 1995 A generalized predictive analysis tool for multigrid methods. Zbl 1349.65427 Friedhoff, S.; MacLachlan, S. 29 2015 A two-step matrix splitting iteration paradigm based on one single splitting for solving systems of linear equations. Zbl 07893424 Bai, Zhong-Zhi 4 2024 Stage-parallel preconditioners for implicit Runge-Kutta methods of arbitrarily high order, linear problems. Zbl 07830555 Axelsson, Owe; Dravins, Ivo; Neytcheva, Maya 3 2024 A family of inertial-based derivative-free projection methods with a correction step for constrained nonlinear equations and their applications. Zbl 07830557 Liu, Pengjie; Shao, Hu; Yuan, Zihang; Zhou, Jianhao 3 2024 Practical sketching-based randomized tensor ring decomposition. Zbl 07893432 Yu, Yajie; Li, Hanyu 3 2024 Structured matrix recovery from matrix-vector products. Zbl 07830556 Halikias, Diana; Townsend, Alex 2 2024 Practical alternating least squares for tensor ring decomposition. Zbl 07893428 Yu, Yajie; Li, Hanyu 2 2024 Generalizing reduction-based algebraic multigrid. Zbl 07893430 Zaman, Tareq; Nytko, Nicolas; Taghibakhshi, Ali; MacLachlan, Scott; Olson, Luke; West, Matthew 2 2024 Matrix-less methods for the spectral approximation of large non-Hermitian Toeplitz matrices: a concise theoretical analysis and a numerical study. Zbl 07893433 Bogoya, Manuel; Ekström, Sven-Erik; Serra-Capizzano, Stefano; Vassalos, Paris 2 2024 Numerical methods for rectangular multiparameter eigenvalue problems, with applications to finding optimal ARMA and LTI models. Zbl 07830563 Hochstenbach, Michiel E.; Košir, Tomaž; Plestenjak, Bor 1 2024 A tensor bidiagonalization method for higher-order singular value decomposition with applications. 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Zbl 07729588 Antil, Harbir; Dolgov, Sergey; Onwunta, Akwum 4 2023 On finding strong approximate inverses for tensors. Zbl 07655833 Khosravi Dehdezi, Eisa; Karimi, Saeed 4 2023 Structure preserving quaternion full orthogonalization method with applications. Zbl 07790620 Li, Tao; Wang, Qing-Wen 4 2023 Preconditioners for robust optimal control problems under uncertainty. Zbl 07675621 Nobile, Fabio; Vanzan, Tommaso 3 2023 Tensor rank bounds and explicit QTT representations for the inverses of circulant matrices. Zbl 07729589 Vysotsky, Lev; Rakhuba, Maxim 3 2023 A conforming auxiliary space preconditioner for the mass conserving stress-yielding method. Zbl 07790626 Kogler, Lukas; Lederer, Philip L.; Schöberl, Joachim 3 2023 A class of improved conjugate gradient methods for nonconvex unconstrained optimization. Zbl 07729597 Hu, Qingjie; Zhang, Hongrun; Zhou, Zhijuan; Chen, Yu 2 2023 Sketch-and-project methods for tensor linear systems. 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Zbl 07655831 van Venetië, Raymond; Westerdiep, Jan 1 2023 On the matrices in B-spline collocation methods for Riesz fractional equations and their spectral properties. Zbl 07655834 Mazza, Mariarosa; Donatelli, Marco; Manni, Carla; Speleers, Hendrik 1 2023 Inexact inner-outer Golub-Kahan bidiagonalization method: a relaxation strategy. Zbl 07790610 Darrigrand, Vincent; Dumitrasc, Andrei; Kruse, Carola; Rüde, Ulrich 1 2023 A flexible block classical Gram-Schmidt skeleton with reorthogonalization. Zbl 07790617 Zou, Qinmeng 1 2023 High relative accuracy with some special matrices related to \(\Gamma\) and \(\beta\) functions. Zbl 07790619 Delgado, Jorge; Peña, Juan Manuel 1 2023 A block Cholesky-LU-based QR factorization for rectangular matrices. Zbl 07790622 Le Borne, Sabine 1 2023 Constructing the field of values of decomposable and general matrices using the ZNN based path following method. Zbl 07790630 Uhlig, Frank 1 2023 Data-driven linear complexity low-rank approximation of general kernel matrices: a geometric approach. Zbl 07790637 Cai, Difeng; Chow, Edmond; Xi, Yuanzhe 1 2023 Accelerated derivative-free method for nonlinear monotone equations with an application. Zbl 07511605 Ibrahim, Abdulkarim Hassan; Kumam, Poom; Abubakar, Auwal Bala; Adamu, Abubakar 18 2022 The tensor Golub-Kahan-Tikhonov method applied to the solution of ill-posed problems with a t-product structure. Zbl 07511593 Reichel, Lothar; Ugwu, Ugochukwu O. 15 2022 Computation of generalized inverses of tensors via \(t\)-product. Zbl 07511597 Behera, Ratikanta; Sahoo, Jajati Keshari; Mohapatra, Ram N.; Nashed, M. Zuhair 8 2022 An extension of fast iterative shrinkage-thresholding algorithm to Riemannian optimization for sparse principal component analysis. Zbl 07511590 Huang, Wen; Wei, Ke 7 2022 Gradient based iterative methods for solving symmetric tensor equations. Zbl 07511595 Li, Tao; Wang, Qing-Wen; Zhang, Xin-Fang 7 2022 Greedy Motzkin-Kaczmarz methods for solving linear systems. Zbl 07584137 Zhang, Yanjun; Li, Hanyu 7 2022 Fast randomized tensor singular value thresholding for low-rank tensor optimization. Zbl 07655838 Che, Maolin; Wang, Xuezhong; Wei, Yimin; Zhao, Xile 6 2022 Fast iterative solver for the optimal control of time-dependent PDEs with Crank-Nicolson discretization in time. Zbl 07511600 Leveque, Santolo; Pearson, John W. 5 2022 Computing eigenvalues of quasi-rational Bernstein-Vandermonde matrices to high relative accuracy. Zbl 07511602 Yang, Zhao; Ma, Xiao-Xiao 5 2022 Mixed precision \(s\)-step Lanczos and conjugate gradient algorithms. Zbl 1538.65062 Carson, Erin; Gergelits, Tomáš; Yamazaki, Ichitaro 5 2022 New bounds on the condition number of the Hessian of the preconditioned variational data assimilation problem. Zbl 07511586 Tabeart, Jemima M.; Dance, Sarah L.; Lawless, Amos S.; Nichols, Nancy K.; Waller, Joanne A. 5 2022 Preconditioners for fractional diffusion equations based on the spectral symbol. Zbl 07584149 Barakitis, Nikos; Ekström, Sven-Erik; Vassalos, Paris 5 2022 Estimating and increasing the structural robustness of a network. Zbl 07511599 Noschese, Silvia; Reichel, Lothar 4 2022 Low-order preconditioning of the Stokes equations. Zbl 1538.65057 Voronin, Alexey; He, Yunhui; MacLachlan, Scott; Olson, Luke N.; Tuminaro, Raymond 4 2022 Toward efficient polynomial preconditioning for GMRES. Zbl 07584135 Loe, Jennifer A.; Morgan, Ronald B. 4 2022 Anderson acceleration of the modulus-based matrix splitting algorithms for horizontal nonlinear complementarity systems. Zbl 07584146 Li, Zhizhi; Zhang, Huai 4 2022 Tensor method for optimal control problems constrained by fractional three-dimensional elliptic operator with variable coefficients. Zbl 07511585 Schmitt, Britta; Khoromskij, Boris N.; Khoromskaia, Venera; Schulz, Volker 3 2022 A Rayleigh quotient-gradient neural network method for computing \(\mathcal{Z}\)-eigenpairs of general tensors. Zbl 07511601 Cui, Lu-Bin; Hu, Qing; Chen, Ying; Song, Yi-Sheng 3 2022 Accurate and efficient computations with Wronskian matrices of Bernstein and related bases. Zbl 07511604 Mainar, Esmeralda; Peña, Juan M.; Rubio, Beatriz 3 2022 Subspace method for multiparameter-eigenvalue problems based on tensor-train representations. Zbl 07584147 Ruymbeek, Koen; Meerbergen, Karl; Michiels, Wim 3 2022 Accelerating alternating least squares for tensor decomposition by pairwise perturbation. Zbl 07584139 Ma, Linjian; Solomonik, Edgar 3 2022 Robust tensor train component analysis. Zbl 07511584 Zhang, Xiongjun; Ng, Michael K. 2 2022 Symmetric tensor decomposition by alternating gradient descent. Zbl 07511587 Liu, Haixia 2 2022 Block low-rank single precision coarse grid solvers for extreme scale multigrid methods. Zbl 1538.65583 Buttari, Alfredo; Huber, Markus; Leleux, Philippe; Mary, Theo; Rüde, Ulrich; Wohlmuth, Barbara 2 2022 A continuation method for computing the multilinear PageRank. Zbl 07584140 Bucci, Alberto; Poloni, Federico 2 2022 Multistage mixed precision iterative refinement. Zbl 1538.65070 Oktay, Eda; Carson, Erin 2 2022 Spectral partitioning of large and sparse 3-tensors using low-rank tensor approximation. Zbl 07584143 Eldén, Lars; Dehghan, Maryam 2 2022 Inexact rational Krylov subspace method for eigenvalue problems. Zbl 07584145 Xu, Shengjie; Xue, Fei 2 2022 Smoothed aggregation for difficult stretched mesh and coefficient variation problems. Zbl 07655836 Hu, Jonathan J.; Siefert, Christopher M.; Tuminaro, Raymond S. 2 2022 Hierarchical adaptive low-rank format with applications to discretized partial differential equations. Zbl 07655842 Massei, Stefano; Robol, Leonardo; Kressner, Daniel 2 2022 An algebraic multigrid method for elasticity based on an auxiliary topology with edge matrices. Zbl 07511589 Kogler, Lukas; Schöberl, Joachim 1 2022 Hierarchical-matrix method for a class of diffusion-dominated partial integro-differential equations. Zbl 07511591 Gathungu, Duncan; Bebendorf, Mario; Borzì, Alfio 1 2022 Two-sided Rayleigh quotient iteration for periodic eigenvalue problems. Zbl 07511603 Chen, Xiao Shan; Xu, Hongguo 1 2022 A Newton-type method for two-dimensional eigenvalue problems. Zbl 07584138 Lu, Tianyi; Su, Yangfeng 1 2022 Matrices associated to two conservative discretizations of Riesz fractional operators and related multigrid solvers. Zbl 07584144 Donatelli, Marco; Krause, Rolf; Mazza, Mariarosa; Semplice, Matteo; Trotti, Ken 1 2022 Nonnegative canonical tensor decomposition with linear constraints: nnCANDELINC. Zbl 07655837 Alexandrov, Boian; DeSantis, Derek F.; Manzini, Gianmarco; Skau, Erik W. 1 2022 Flexible subspace iteration with moments for an effective contour integration-based eigensolver. Zbl 07655841 Huber, Sarah; Futamura, Yasunori; Galgon, Martin; Imakura, Akira; Lang, Bruno; Sakurai, Tetsuya 1 2022 A local Fourier analysis of additive Vanka relaxation for the Stokes equations. Zbl 07361104 Farrell, Patrick E.; He, Yunhui; MacLachlan, Scott P. 21 2021 Optimizing multigrid reduction-in-time and Parareal coarse-grid operators for linear advection. Zbl 07396250 De Sterck, Hans; Falgout, Robert D.; Friedhoff, Stephanie; Krzysik, Oliver A.; MacLachlan, Scott P. 21 2021 A novel direct method based on the Lucas multiwavelet functions for variable-order fractional reaction-diffusion and subdiffusion equations. Zbl 07332759 Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen 13 2021 Low synchronization Gram-Schmidt and generalized minimal residual algorithms. Zbl 1474.65103 Świrydowicz, Katarzyna; Langou, Julien; Ananthan, Shreyas; Yang, Ulrike; Thomas, Stephen 9 2021 Computing low-rank approximations of the Fréchet derivative of a matrix function using Krylov subspace methods. Zbl 07478627 Kandolf, Peter; Koskela, Antti; Relton, Samuel D.; Schweitzer, Marcel 9 2021 Numerical subspace algorithms for solving the tensor equations involving Einstein product. Zbl 07332763 Huang, Baohua; Li, Wen 8 2021 A derivative-free scaling memoryless Broyden-Fletcher-Goldfarb-Shanno method for solving a system of monotone nonlinear equations. Zbl 1538.65126 Ullah, Najib; Sabi’u, Jamilu; Shah, Abdullah 8 2021 Randomized algorithms for generalized singular value decomposition with application to sensitivity analysis. Zbl 07396247 Saibaba, Arvind K.; Hart, Joseph; van Bloemen Waanders, Bart 8 2021 Minimizing convex quadratics with variable precision conjugate gradients. Zbl 07332751 Gratton, Serge; Simon, Ehouarn; Titley-Peloquin, David; Toint, Philippe L. 7 2021 On “optimal” \(h\)-independent convergence of Parareal and multigrid-reduction-in-time using Runge-Kutta time integration. Zbl 07361111 Friedhoff, Stephanie; Southworth, Ben S. 7 2021 A new preconditioning approach for an interior point-proximal method of multipliers for linear and convex quadratic programming. Zbl 07396244 Bergamaschi, Luca; Gondzio, Jacek; Martínez, Ángeles; Pearson, John W.; Pougkakiotis, Spyridon 7 2021 Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications. Zbl 07396240 Donatelli, Marco; Ferrari, Paola; Furci, Isabella; Serra-Capizzano, Stefano; Sesana, Debora 7 2021 Bounds on the spectra of Schur complements of large H-TFETI-DP clusters for 2D Laplacian. Zbl 07332757 Dostál, Zdeněk; Horák, David; Brzobohatý, Tomáš; Vodstrčil, Petr 6 2021 All-at-once solution of linear wave equations. Zbl 07478618 Danieli, Federico; Wathen, Andrew J. 6 2021 A gradient-type iterative method for impulse noise removal. Zbl 07396242 Liu, Jinkui; Cao, Haisong; Zhao, Yongxiang; Zhang, Liqiao 5 2021 Semiconvergence analysis of the randomized row iterative method and its extended variants. Zbl 1474.65102 Wu, Nianci; Xiang, Hua 4 2021 ...and 1170 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,447 Authors 141 Wei, Yimin 105 Ma, Changfeng 97 Huang, Ting-Zhu 85 Reichel, Lothar 84 Qi, Liqun 72 Benner, Peter 69 Serra-Capizzano, Stefano 68 Zhang, Guofeng 62 Axelsson, Axel Owe Holger 56 Li, Wen 54 Ng, Michael Kwok-Po 52 Simoncini, Valeria 52 Wu, Shiliang 47 Hajarian, Masoud 45 Liang, Zhaozheng 44 Vuik, Cornelis 43 Huang, Zhengge 43 Li, Chaoqian 43 Li, Cuixia 42 Bai, Zhongzhi 42 Vong, Seakweng 40 Hu, Xiaozhe 39 Cui, Jingjing 39 Wang, Qingwen 38 Saad, Yousef 38 Vassilevski, Panayot Spirov 37 Khojasteh Salkuyeh, Davod 37 Li, Yaotang 36 Chen, Guoliang 36 Szyld, Daniel B. 36 Zheng, Bing 36 Zheng, Hua 35 Cao, Yang 35 Gander, Martin Jakob 35 Peña, Juan Manuel 34 Donatelli, Marco 34 Jbilou, Khalide 33 Jia, Zhongxiao 32 Gaspar, Francisco José 32 Gu, Xian-Ming 32 Neytcheva, Maya G. 32 Yang, Aili 31 Chen, Haibin 31 Klawonn, Axel 31 Li, Zi-Cai 31 MacLachlan, Scott P. 31 Rodrigo, Carmen 31 Zikatanov, Ludmil T. 30 Bergamaschi, Luca 30 Dostál, Zdeněk 30 Ferronato, Massimiliano 30 Wu, Yujiang 29 Benzi, Michele 29 Kressner, Daniel 29 Li, Hanyu 29 Margenov, Svetozar D. 29 Wang, Xiang 28 Stoll, Martin 28 Vandebril, Raf 28 Zhao, Xile 27 Carpentieri, Bruno 27 He, Yunhui 27 Huang, Na 27 Van Barel, Marc 27 Xu, Jinchao 26 Lin, Wen-Wei 26 Mardal, Kent-Andre 26 Rheinbach, Oliver 26 Wang, Yiju 26 Yin, Junfeng 25 Chen, Fang 25 Ke, Yifen 25 Wu, Gang 25 Xi, Yuanzhe 25 Zhao, Jianxing 24 Harbrecht, Helmut 24 Janna, Carlo 24 Kraus, Johannes K. 24 Mehrmann, Volker 24 Pavarino, Luca Franco 24 Pearson, John W. 24 Wu, Qingbiao 24 Xia, Jianlin 23 Brenner, Susanne Cecelia 23 Dai, Hua 23 Dehghan Takht Fooladi, Mehdi 23 Khoromskiĭ, Boris Nikolaevich 23 Lu, Linzhang 22 Adler, James H. 22 Bini, Dario Andrea 22 Diao, Huaian 22 He, Jun 22 Huang, Hung-Tsai 22 Noschese, Silvia 22 Wu, Shulin 21 Argyros, Ioannis Konstantinos 21 Blaheta, Radim 21 Che, Maolin 21 Gemignani, Luca 21 Kürschner, Patrick ...and 9,347 more Authors all top 5 Cited in 556 Journals 648 Journal of Computational and Applied Mathematics 575 Numerical Linear Algebra with Applications 482 SIAM Journal on Scientific Computing 471 Linear Algebra and its Applications 380 Numerical Algorithms 362 Applied Mathematics and Computation 322 Computers & Mathematics with Applications 314 Journal of Computational Physics 249 Computer Methods in Applied Mechanics and Engineering 228 Applied Numerical Mathematics 226 SIAM Journal on Matrix Analysis and Applications 214 Journal of Scientific Computing 184 Computational and Applied Mathematics 135 BIT 133 Linear and Multilinear Algebra 127 Numerische Mathematik 113 Applied Mathematics Letters 107 International Journal for Numerical Methods in Engineering 107 International Journal of Computer Mathematics 97 Calcolo 94 ETNA. 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