# zbMATH — the first resource for mathematics

## Numerical Linear Algebra with Applications

 Short Title: Numer. Linear Algebra Appl. Publisher: Wiley, Chichester ISSN: 1070-5325; 1099-1506/e Online: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506 Comments: Published electronic only as of Vol. 19 (2012). Print ISSN until then: 1070-5325.
 Documents Indexed: 1,323 Publications (since 1994) References Indexed: 1,066 Publications with 24,618 References.
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#### Authors

 28 Vassilevski, Panayot Spirov 26 Axelsson, Axel Owe Holger 25 Ng, Michael Kwok-Po 23 Saad, Yousef 23 Wei, Yimin 20 Bai, Zhongzhi 20 Reichel, Lothar 18 Manteuffel, Thomas A. 17 Serra-Capizzano, Stefano 15 MacLachlan, Scott P. 15 Qi, Liqun 13 McCormick, Steve Fahrney 12 Notay, Yvan 11 Simoncini, Valeria 10 Bergamaschi, Luca 10 Blaheta, Radim 10 Margenov, Svetozar D. 10 Scott, Jennifer A. 9 De Sterck, Hans 9 Neytcheva, Maya G. 9 Peña, Juan Manuel 8 Gratton, Serge 8 Huang, Ting-Zhu 8 Kaporin, Igor E. 8 Khoromskij, Boris N. 8 Noschese, Silvia 8 Oosterlee, Cornelis Willebrordus 8 Poloni, Federico G. 8 Ruge, J. 8 Szyld, Daniel B. 8 Van Huffel, Sabine 8 Wathen, Andrew John 8 Zikatanov, Ludmil T. 7 Chan, Raymond Hon-Fu 7 Cvetković, Ljiljana 7 Donatelli, Marco 7 Falgout, Robert D. 7 Giraud, Luc 7 Greif, Chen 7 Kraus, Johannes K. 7 Lazarov, Raytcho D. 7 Lin, Wen-Wei 7 Meerbergen, Karl 7 Mehrmann, Volker 7 Yavneh, Irad 7 Yeremin, A. Yu. 6 Benner, Peter 6 Benzi, Michele 6 Brezina, Marian 6 Bunch, James R. 6 Ching, Wai-Ki 6 Dostál, Zdeněk 6 Gustafsson, Ivar 6 Kolotilina, Lily Yu. 6 Kostić, Vladimir R. 6 Kressner, Daniel 6 Li, Wen 6 Mastronardi, Nicola 6 Pasciak, Joseph E. 6 Sun, Haiwei 6 Vuik, Cornelis 6 Xiang, Hua 5 Brannick, James J. 5 Cai, Xiao-Chuan 5 Diao, Huaian 5 Duff, Iain S. 5 Garanzha, Vladimir A. 5 Gaspar, Francisco José 5 Gemignani, Luca 5 Grasedyck, Lars 5 Gustafson, Karl Edwin 5 Kolev, Tzanio V. 5 Lee, Barry 5 Lindskog, Gunhild 5 Marek, Ivo 5 Martínez, Ángeles 5 Nagy, James Gerard 5 Nataf, Frédéric 5 Olson, Luke N. 5 Pultarová, Ivana 5 Rüde, Ulrich 5 Shu, Shi 5 Tablino Possio, Cristina 5 Tůma, Miroslav 5 Tyrtyshnikov, Evgeniĭ Evgen’evich 5 Van Barel, Marc 5 Van der Vorst, Henk Albertus 5 Wu, Gang 5 Xu, Jinchao 4 Amat, Sergio P. 4 Bini, Dario Andrea 4 Björck, Åke 4 Cao, Zhihao 4 Chan, Tony Fan-Cheong 4 Dai, Yu-Hong 4 Dax, Achiya 4 Fierro, Ricardo D. 4 Freund, Roland W. 4 Friedhoff, Stephanie 4 Gander, Martin Jakob ...and 1,629 more Authors
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#### Fields

 1,228 Numerical analysis (65-XX) 301 Linear and multilinear algebra; matrix theory (15-XX) 204 Partial differential equations (35-XX) 65 Operations research, mathematical programming (90-XX) 63 Fluid mechanics (76-XX) 62 Mechanics of deformable solids (74-XX) 40 Systems theory; control (93-XX) 35 Probability theory and stochastic processes (60-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 32 Computer science (68-XX) 31 Ordinary differential equations (34-XX) 29 General and overarching topics; collections (00-XX) 27 Information and communication theory, circuits (94-XX) 21 Combinatorics (05-XX) 20 Statistics (62-XX) 20 Optics, electromagnetic theory (78-XX) 17 Operator theory (47-XX) 16 Biology and other natural sciences (92-XX) 9 Quantum theory (81-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Geophysics (86-XX) 5 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 5 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Real functions (26-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 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 1 Commutative algebra (13-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

1,055 Publications have been cited 9,417 times in 6,035 Documents Cited by Year
ILUT: A dual threshold incomplete LU factorization. Zbl 0838.65026
1994
Optimal parameters in the HSS-like methods for saddle-point problems. Zbl 1224.65081
Bai, Zhong-Zhi
2009
Modulus-based matrix splitting iteration methods for linear complementarity problems. Zbl 1240.65181
Bai, Zhong-Zhi
2010
Recent computational developments in Krylov subspace methods for linear systems. Zbl 1199.65112
Simoncini, Valeria; Szyld, Daniel B.
2007
On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1199.65097
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
2007
Fast algorithms for hierarchically semiseparable matrices. Zbl 1240.65087
Xia, Jianlin; Chandrasekaran, Shivkumar; Gu, Ming; Li, Xiaoye S.
2010
Real valued iterative methods for solving complex symmetric linear systems. Zbl 1051.65025
Axelsson, Owe; Kucherov, Andrey
2000
A scalable dual-primal domain decomposition method. Zbl 1051.65119
Farhat, Charbel; Lesoinne, Michael; Pierson, Kendall
2000
Preconditioning discretizations of systems of partial differential equations. Zbl 1249.65246
Mardal, Kent-Andre; Winther, Ragnar
2011
Convergence of a balancing domain decomposition by constraints and energy minimization. Zbl 1071.65558
Mandel, Jan; Dohrmann, Clark R.
2003
Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036
Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A.
1995
Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems. Zbl 1212.65245
Benner, P.; Li, J.-R.; Penzl, T.
2008
Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Zbl 1313.65131
Bai, Zhong-Zhi; Zhang, Li-Li
2013
A modified modulus method for symmetric positive-definite linear complementarity problems. Zbl 1224.65152
Dong, Jun-Liang; Jiang, Mei-Qun
2009
GMRESR: A family of nested GMRES methods. Zbl 0839.65040
Van der Vorst, H. A.; Vuik, C.
1994
Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038
Perugia, I.; Simoncini, V.
2000
A projection method to solve linear systems in tensor format. Zbl 1289.65049
Ballani, Jonas; Grasedyck, Lars
2013
A new approximation of the Schur complement in preconditioners for PDE-constrained optimization. Zbl 1274.65187
Pearson, John W.; Wathen, Andrew J.
2012
New eigenvalue inclusion sets for tensors. Zbl 1324.15026
Li, Chaoqian; Li, Yaotang; Kong, Xu
2014
The $$Z$$-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory. Zbl 1313.65081
Li, Guoyin; Qi, Liqun; Yu, Gaohang
2013
A survey on the spectral theory of nonnegative tensors. Zbl 1313.15015
Chang, Kungching; Qi, Liqun; Zhang, Tan
2013
Deflated and augmented Krylov subspace techniques. Zbl 0889.65028
1997
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
2009
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
2006
A splitting preconditioner for saddle point problems. Zbl 1249.65065
Cao, Yang; Jiang, Mei-Qun; Zheng, Ying-Long
2011
Harmonic projection methods for large non-symmetric eigenvalue problems. Zbl 0937.65045
Morgan, R. B.; Zeng, M.
1998
A new investigation of the extended Krylov subspace method for matrix function evaluations. Zbl 1240.65154
Knizhnerman, L.; Simoncini, V.
2010
Preconditioned GSOR iterative method for a class of complex symmetric system of linear equations. Zbl 1363.65049
Hezari, Davod; Edalatpour, Vahid; Khojasteh Salkuyeh, Davod
2015
Two classes of multisecant methods for nonlinear acceleration. Zbl 1224.65134
2009
Existence of a low rank or $$\mathcal H$$-matrix approximant to the solution of a Sylvester equation. Zbl 1164.65381
Grasedyck, L.
2004
Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models. Zbl 1289.65048
Bai, Zhong-Zhi
2012
Convergence analysis of a block improvement method for polynomial optimization over unit spheres. Zbl 1374.65105
Wang, Yiju; Caccetta, Louis; Zhou, Guanglu
2015
Indefinitely preconditioned inexact Newton method for large sparse equality constrained nonlinear programming problems. Zbl 0937.65066
1998
ARMS: an algebraic recursive multilevel solver for general sparse linear systems. Zbl 1071.65001
2002
Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor. Zbl 1274.65129
Zhang, Liping; Qi, Liqun
2012
Efficient preconditioning scheme for block partitioned matrices with structured sparsity. Zbl 1051.65059
Poirier, Bill
2000
Combination of Jacobi–Davidson and conjugate gradients for the partial symmetric eigenproblem. Zbl 1071.65516
Notay, Y.
2002
Augmentation block preconditioners for saddle point-type matrices with singular $$(1,1)$$ blocks. Zbl 1212.65146
Cao, Zhi-Hao
2008
The inverse problem of bisymmetric matrices with a submatrix constraint. Zbl 1164.15322
Peng, Zhen-yun; Hu, Xi-yan; Zhang, Lei
2004
Preconditioners for the discretized time-harmonic Maxwell equations in mixed form. Zbl 1199.78010
Greif, Chen; Schötzau, Dominik
2007
Direct methods and ADI-preconditioned Krylov subspace methods for generalized Lyapunov equations. Zbl 1212.65175
Damm, T.
2008
Eigenvalue estimates for preconditioned saddle point matrices. Zbl 1224.65080
Axelsson, Owe; Neytcheva, Maya
2006
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
2006
Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. Zbl 1051.65050
Carpentieri, B.; Duff, I. S.; Giraud, L.
2000
Block-triangular preconditioners for PDE-constrained optimization. Zbl 1240.65097
Rees, Tyrone; Stoll, Martin
2010
On two-grid convergence estimates. Zbl 1164.65343
Falgout, Robert D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
2005
Diagonally compensated reduction and related preconditioning methods. Zbl 0837.65023
Axelsson, O.; Kolotilina, L.
1994
A simpler GMRES. Zbl 0838.65030
Walker, Homer F.; Zhou, Lu
1994
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.
1998
A note on the representation and definition of semiseparable matrices. Zbl 1164.15341
Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola
2005
New convergence results and preconditioning strategies for the conjugate gradient method. Zbl 0837.65027
Kaporin, I. E.
1994
On the convergence of general stationary iterative methods for range-Hermitian singular linear systems. Zbl 1240.65120
Zhang, Naimin; Wei, Yi-Min
2010
Displacement decomposition – incomplete factorization preconditioning techniques for linear elasticity problems. Zbl 0837.65021
1994
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.
2006
Tridiagonal Toeplitz matrices: properties and novel applications. Zbl 1289.65082
Noschese, Silvia; Pasquini, Lionello; Reichel, Lothar
2013
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
2007
A survey of spectral factorization methods. Zbl 1053.47013
Sayed, A. H.; Kailath, T.
2001
A Power-Arnoldi algorithm for computing PageRank. Zbl 1199.65125
Wu, Gang; Wei, Yimin
2007
More on extremal ranks of the matrix expressions $$A-BX \pm X^{*}B^{*}$$ with statistical applications. Zbl 1212.15029
Liu, Y.; Tian, Y.
2008
Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems. Zbl 1274.65313
Bastian, Peter; Blatt, Markus; Scheichl, Robert
2012
An algebraic multigrid method for finite element discretizations with edge elements. Zbl 1071.65170
Reitzinger, S.; Schöberl, J.
2002
On the convergence of shifted Laplace preconditioner combined with multilevel deflation. Zbl 1313.65293
Sheikh, A. H.; Lahaye, D.; Vuik, C.
2013
Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form. Zbl 1224.65099
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
2009
A spectral algorithm for envelope reduction of sparse matrices. Zbl 0833.65038
Barnard, Stephen T.; Pothen, Alex; Simon, Horst
1995
Local Fourier analysis for multigrid with overlapping smoothers applied to systems of PDEs. Zbl 1265.65256
MacLachlan, Scott P.; Oosterlee, C. W.
2011
Efficient estimation of eigenvalue counts in an interval. Zbl 1413.65092
Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef
2016
Recursive Krylov-based multigrid cycles. Zbl 1212.65132
Notay, Y.; Vassilevski, P. S.
2008
Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic. Zbl 0831.65042
1995
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
1994
Decoupling preconditioners in the implicit parallel accurate reservoir simulator (IPARS). Zbl 1071.76583
Lacroix, Sébastien; Vassilevski, Yuri V.; Wheeler, Mary F.
2001
Indefinitely preconditioned conjugate gradient method for large sparse equality and inequality constrained quadratic problems. Zbl 1071.65512
Durazzi, C.; Ruggiero, V.
2003
Efficient approximation of random fields for numerical applications. Zbl 1349.65048
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
2015
Local Fourier analysis of the complex shifted Laplacian preconditioner for Helmholtz problems. Zbl 1313.65320
Cools, Siegfried; Vanroose, Wim
2013
Asymptotic convergence of conjugate gradient methods for the partial symmetric eigenproblem. Zbl 0889.65032
Bergamaschi, L.; Gambolati, G.; Pini, G.
1997
On the performance of various adaptive preconditioned GMRES strategies. Zbl 0937.65036
Burrage, K.; Erhel, J.
1998
Exponential data fitting using multilinear algebra: The single-channel and multi-channel case. Zbl 1164.93012
Papy, J. M.; De Lathauwer, L.; Van Huffel, S.
2005
A fully implicit parallel algorithm for simulating the nonlinear electrical activity of the heart. Zbl 1114.65112
Murillo, Maria; Cai, Xiao-Chuan.
2004
Algebraic multilevel preconditioning of finite element matrices using local Schur complements. Zbl 1174.65398
Kraus, J. K.
2006
Several variants of the Hermitian and skew-Hermitian splitting method for a class of complex symmetric linear systems. Zbl 1363.65055
Wu, Shi-Liang
2015
An approximate BDDC preconditioner. Zbl 1199.65088
Dohrmann, C. R.
2007
A probing method for computing the diagonal of a matrix inverse. Zbl 1274.65132
2012
Eigenvalue translation based preconditioners for the $$\text{GMRES}(k)$$ method. Zbl 0829.65036
Kharchenko, S. A.; Yeremin, A. Yu.
1995
A waveform relaxation algorithm with overlapping splitting for reaction diffusion equations. Zbl 0983.65107
Gander, Martin J.
1999
A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528
Benzi, Michele; Tůma, Miroslav
2003
A finite volume element method for a non-linear elliptic problem. Zbl 1164.65494
Chatzipantelidis, P.; Ginting, V.; Lazarov, R. D.
2005
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
2015
Multigrid methods for the symmetric interior penalty method on graded meshes. Zbl 1224.65288
Brenner, S. C.; Cui, J.; Sung, L.-Y.
2009
Stability of block. Zbl 0834.65010
Demmel, James W.; Higham, Nicholas J.; Schreiber, Robert S.
1995
Factorized sparse approximate inverse preconditionings. IV: Simple approaches to rising efficiency. Zbl 0983.65062
Kolotilina, L. Yu; Nikishin, A. A.; Yeremin, A. Yu.
1999
Preconditioning methods for linear systems arising in constrained optimization problems. Zbl 1071.65527
Axelsson, Owe; Neytcheva, Maya
2003
Multigrid techniques for finite elements on locally refined meshes. Zbl 1051.65117
Becker, R.; Braack, M.
2000
Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers. Zbl 1164.15309
Böttcher, A.; Grudsky, S. M.
2005
An implicit $$QR$$ algorithm for symmetric semiseparable matrices. Zbl 1164.65368
Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola
2005
Generalized skew-Hermitian triangular splitting iteration methods for saddle-point linear systems. Zbl 1324.65053
Krukier, Lev A.; Krukier, Boris L.; Ren, Zhi-Ru
2014
Fast Hankel tensor-vector product and its application to exponential data fitting. Zbl 1349.65070
Ding, Weiyang; Qi, Liqun; Wei, Yimin
2015
A simultaneous decomposition of a matrix triplet with applications. Zbl 1249.15020
Liu, Yonghui; Tian, Yongge
2011
On eigenvalue distribution of constraint-preconditioned symmetric saddle point matrices. Zbl 1274.65084
Bergamaschi, Luca
2012
Efficient computation of the exponential operator for large, sparse, symmetric matrices. Zbl 0983.65058
Bergamaschi, L.; Vianello, M.
2000
A multigrid method based on graph matching for convection-diffusion equations. Zbl 1071.65167
Kim, HwanHo; Xu, Jinchao; Zikatanov, Ludmil
2003
The modulus-based matrix splitting algorithms for a class of weakly nonlinear complementarity problems. Zbl 1413.65253
Huang, Na; Ma, Changfeng
2016
A local Fourier analysis of additive Vanka relaxation for the Stokes equations. Zbl 07361104
Farrell, Patrick E.; He, Yunhui; MacLachlan, Scott P.
2021
Asymptotic spectra of large matrices coming from the symmetrization of Toeplitz structure functions and applications to preconditioning. Zbl 07332746
Ferrari, Paola; Barakitis, Nikos; Serra-Capizzano, Stefano
2021
Semiconvergence analysis of the randomized row iterative method and its extended variants. Zbl 07332748
Wu, Nianci; Xiang, Hua
2021
Two-level Fourier analysis of multigrid for higher-order finite-element discretizations of the Laplacian. Zbl 1463.65403
He, Yunhui; MacLachlan, Scott
2020
Approximation of a fractional power of an elliptic operator. Zbl 07217193
Vabishchevich, P. N.
2020
Nesterov acceleration of alternating least squares for canonical tensor decomposition: momentum step size selection and restart mechanisms. Zbl 07250716
Mitchell, Drew; Ye, Nan; De Sterck, Hans
2020
Convergence analysis for parallel-in-time solution of hyperbolic systems. Zbl 1463.65280
De Sterck, Hans; Friedhoff, Stephanie; Howse, Alexander J. M.; MacLachlan, Scott P.
2020
Approximate solutions to large nonsymmetric differential Riccati problems with applications to transport theory. Zbl 1463.65087
Angelova, V.; Hached, M.; Jbilou, K.
2020
Extrapolation methods for fixed-point multilinear PageRank computations. Zbl 07177905
Cipolla, Stefano; Redivo-Zaglia, Michela; Tudisco, Francesco
2020
Further results on the Drazin inverse of even-order tensors. Zbl 07286029
Behera, Ratikanta; Nandi, Ashish Kumar; Sahoo, Jajati Keshari
2020
Modulus-based synchronous multisplitting methods for solving horizontal linear complementarity problems on parallel computers. Zbl 07286030
2020
The tensor t-function: a definition for functions of third-order tensors. Zbl 1463.15052
Lund, Kathryn
2020
On approximating the nearest $$\Omega$$-stable matrix. Zbl 07217198
Choudhary, Neelam; Gillis, Nicolas; Sharma, Punit
2020
Effectiveness and robustness revisited for a preconditioning technique based on structured incomplete factorization. Zbl 07217203
Xin, Zixing; Xia, Jianlin; Cauley, Stephen; Balakrishnan, Venkataramanan
2020
Numerical study in stochastic homogenization for elliptic partial differential equations: convergence rate in the size of representative volume elements. Zbl 07217205
Khoromskaia, Venera; Khoromskij, Boris N.; Otto, Felix
2020
Robust tensor completion using transformed tensor singular value decomposition. Zbl 07217207
Song, Guangjing; Ng, Michael K.; Zhang, Xiongjun
2020
Interior-point methods and preconditioning for PDE-constrained optimization problems involving sparsity terms. Zbl 07177902
Pearson, John W.; Porcelli, Margherita; Stoll, Martin
2020
Structured FISTA for image restoration. Zbl 07177903
Chen, Zixuan; Nagy, James G.; Xi, Yuanzhe; Yu, Bo
2020
Synchronous and asynchronous optimized Schwarz methods for one-way subdivision of bounded domains. Zbl 07177904
2020
NURBS in isogeometric discretization methods: a spectral analysis. Zbl 07286031
Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
2020
Non-Hermitian perturbations of Hermitian matrix-sequences and applications to the spectral analysis of the numerical approximation of partial differential equations. Zbl 07217199
Barbarino, Giovanni; Serra-Capizzano, Stefano
2020
Decompositions of third-order tensors: HOSVD, T-SVD, and Beyond. Zbl 07217200
Zeng, Chao; Ng, Michael K.
2020
Semi-active $$\mathcal{H}_{\infty}$$ damping optimization by adaptive interpolation. Zbl 1463.93076
Tomljanović, Zoran; Voigt, Matthias
2020
Conservative discretizations and parameter-robust preconditioners for Biot and multiple-network flux-based poroelasticity models. Zbl 1463.65372
Hong, Qingguo; Kraus, Johannes; Lymbery, Maria; Philo, Fadi
2019
On greedy randomized coordinate descent methods for solving large linear least-squares problems. Zbl 1449.65128
Bai, Zhong-Zhi; Wu, Wen-Ting
2019
Krylov subspace methods to solve a class of tensor equations via the Einstein product. Zbl 1463.65045
Huang, Baohua; Xie, Yajun; Ma, Changfeng
2019
Tight upper bounds for the convergence of the randomized extended Kaczmarz and Gauss-Seidel algorithms. Zbl 07088859
Du, Kui
2019
Robust quaternion matrix completion with applications to image inpainting. Zbl 07088871
Jia, Zhigang; Ng, Michael K.; Song, Guang-Jing
2019
On the applicability of Genocchi wavelet method for different kinds of fractional-order differential equations with delay. Zbl 1463.65204
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen
2019
Randomized algorithms for total least squares problems. Zbl 07031719
Xie, Pengpeng; Xiang, Hua; Wei, Yimin
2019
Relaxation methods for solving the tensor equation arising from the higher-order Markov chains. Zbl 07144925
Liu, Dongdong; Li, Wen; Vong, Seak-Weng
2019
Direct and iterative methods for interval parametric algebraic systems producing parametric solutions. Zbl 1463.65108
2019
Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz-type matrices. Zbl 1449.15071
Noschese, Silvia; Reichel, Lothar
2019
Accurate computations with Laguerre matrices. Zbl 07031717
Delgado, Jorge; Orera, Héctor; Peña, Juan Manuel
2019
A parallel time integrator for solving the linearized shallow water equations on the rotating sphere. Zbl 07031721
Schreiber, Martin; Loft, Richard
2019
Nonsingular systems of generalized Sylvester equations: an algorithmic approach. Zbl 07144926
De Terán, Fernando; Iannazzo, Bruno; Poloni, Federico; Robol, Leonardo
2019
Hybrid enriched bidiagonalization for discrete ill-posed problems. Zbl 1449.65093
Hansen, Per Christian; Dong, Yiqiu; Abe, Kuniyoshi
2019
A coarse-fine-mesh stabilization for an alternating Schwarz domain decomposition method. Zbl 1463.65400
Axelsson, Owe; Gustafsson, Ivar
2019
Subspace methods for three-parameter eigenvalue problems. Zbl 1463.65071
Hochstenbach, Michiel E.; Meerbergen, Karl; Mengi, Emre; Plestenjak, Bor
2019
Accelerating the iterative solution of convection-diffusion problems using singular value decomposition. Zbl 1463.65075
Pitton, Giuseppe; Heltai, Luca
2019
Preconditioning for boundary control problems in incompressible fluid dynamics. Zbl 07031718
2019
On the distribution of real eigenvalues in linear viscoelastic oscillators. Zbl 07031728
2019
Nearness results for real tridiagonal $$2$$-Toeplitz matrices. Zbl 1463.65067
2019
When is a matrix unitary or Hermitian plus low rank? Zbl 1463.15075
Del Corso, Gianna M.; Poloni, Federico; Robol, Leonardo; Vandebril, Raf
2019
Direct solution method for the equilibrium problem for elastic stents. Zbl 1449.74125
Grubišić, Luka; Tambača, Josip
2019
Spectral condition-number estimation of large sparse matrices. Zbl 1449.65097
Avron, Haim; Druinsky, Alex; Toledo, Sivan
2019
Convergence analysis of Anderson-type acceleration of Richardson’s iteration. Zbl 1463.65053
Lupo Pasini, Massimiliano
2019
Preconditioned iterative methods for diffusion problems with high-contrast inclusions. Zbl 1449.65058
Gorb, Yuliya; Kramarenko, Vasiliy; Kuznetsov, Yuri
2019
Fast approximate truncated SVD. Zbl 1449.65082
Shishkin, Serge L.; Shalaginov, Arkadi; Bopardikar, Shaunak D.
2019
Backward error analysis for linearizations in heavily damped quadratic eigenvalue problem. Zbl 1449.65074
Chen, Hongjia; Meng, Jie; Sakurai, Tetsuya; Wang, Xiang
2019
On the singular Neumann problem in linear elasticity. Zbl 07031712
Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael
2019
A restarted Krylov method with inexact inversions. Zbl 07031713
Dax, Achiya
2019
A compact rational Krylov method for large-scale rational eigenvalue problems. Zbl 07031714
Dopico, Froilán M.; González-Pizarro, Javier
2019
A comparison of preconditioned Krylov subspace methods for large-scale nonsymmetric linear systems. Zbl 07031715
Ghai, Aditi; Lu, Cao; Jiao, Xiangmin
2019
Objective acceleration for unconstrained optimization. Zbl 07031716
Riseth, Asbjørn Nilsen
2019
A multigrid solver to the Helmholtz equation with a point source based on travel time and amplitude. Zbl 07031720
2019
A Riemannian variant of the Fletcher-Reeves conjugate gradient method for stochastic inverse eigenvalue problems with partial eigendata. Zbl 07031722
Yao, Teng-Teng; Bai, Zheng-Jian; Zhao, Zhi
2019
Regularizing properties of a class of matrices including the optimal and the superoptimal preconditioners. Zbl 07031725
Cipolla, Stefano; Di Fiore, Carmine; Durastante, Fabio; Zellini, Paolo
2019
Solving bilinear tensor least squares problems and application to Hammerstein identification. Zbl 07031726
2019
A fast algorithm for the spectral radii of weakly reducible nonnegative tensors. Zbl 06861606
Zhou, Guanglu; Wang, Gang; Qi, Liqun; Alqahtani, Mohammed
2018
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
2018
Optimal solvers for linear systems with fractional powers of sparse SPD matrices. Zbl 06986996
Harizanov, S.; Lazarov, R.; Margenov, S.; Marinov, P.; Vutov, Y.
2018
Scaled norm minimization method for computing the parameters of the HSS and the two-parameter HSS preconditioners. Zbl 06945800
Yang, Ai-Li
2018
Computing the nearest stable matrix pairs. Zbl 06986990
Gillis, Nicolas; Mehrmann, Volker; Sharma, Punit
2018
Comparison of algebraic multigrid methods for an adaptive space-time finite-element discretization of the heat equation in 3D and 4D. Zbl 06945790
Steinbach, Olaf; Yang, Huidong
2018
Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts. Zbl 06945795
Bai, Zhong-Zhi
2018
A block GMRES method with deflated restarting for solving linear systems with multiple shifts and multiple right-hand sides. Zbl 06986988
Sun, Dong-Lin; Huang, Ting-Zhu; Jing, Yan-Fei; Carpentieri, Bruno
2018
Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results. Zbl 06986989
Dumbser, M.; Fambri, F.; Furci, I.; Mazza, M.; Serra-Capizzano, S.; Tavelli, M.
2018
Solving time-periodic fractional diffusion equations via diagonalization technique and multigrid. Zbl 06987002
Wu, Shu-Lin; Zhang, Hui; Zhou, Tao
2018
Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes. Zbl 06945785
Osborn, Sarah; Zulian, Patrick; Benson, Thomas; Villa, Umberto; Krause, Rolf; Vassilevski, Panayot S.
2018
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations. Zbl 06986992
Bai, Zhong-Zhi
2018
Data-driven model order reduction of quadratic-bilinear systems. Zbl 07031732
Gosea, Ion Victor; Antoulas, Athanasios C.
2018
On quadratic matrix equations with infinite size coefficients encountered in QBD stochastic processes. Zbl 07031734
Bini, Dario Andrea; Massei, Stefano; Meini, Beatrice; Robol, Leonardo
2018
An efficient variant of HSS preconditioner for generalized saddle point problems. Zbl 06945801
Zhang, Ju-Li
2018
On two high-order families of frozen Newton-type methods. Zbl 1424.65072
Amat, S.; Argyros, I.; Busquier, S.; Hernández-Verón, M. A.
2018
Approximate inversion method for time-fractional subdiffusion equations. Zbl 06861604
Lu, Xin; Pang, Hong-Kui; Sun, Hai-Wei; Vong, Seak-Weng
2018
Eigenvalues and eigenvectors of banded Toeplitz matrices and the related symbols. Zbl 06986985
Ekström, S.-E.; Serra-Capizzano, S.
2018
Domain decomposition approaches for accelerating contour integration eigenvalue solvers for symmetric eigenvalue problems. Zbl 06986991
Kalantzis, Vassilis; Kestyn, James; Polizzi, Eric; Saad, Yousef
2018
Krylov methods for low-rank commuting generalized Sylvester equations. Zbl 07031731
Jarlebring, Elias; Mele, Giampaolo; Palitta, Davide; Ringh, Emil
2018
Recursive integral method with Cayley transformation. Zbl 07031739
Huang, R.; Sun, J.; Yang, C.
2018
A randomized tensor singular value decomposition based on the t-product. Zbl 06987003
Zhang, Jiani; Saibaba, Arvind K.; Kilmer, Misha E.; Aeron, Shuchin
2018
Are the eigenvalues of the B-spline isogeometric analysis approximation of $$-\Delta u=\lambda u$$ known in almost closed form? Zbl 06987014
Ekström, Sven-Erik; Furci, Isabella; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
2018
Distributed hierarchical SVD in the hierarchical Tucker format. Zbl 07031735
Grasedyck, Lars; Löbbert, Christian
2018
Computing the diffusion state distance on graphs via algebraic multigrid and random projections. Zbl 06945789
Lin, Junyuan; Cowen, Lenore J.; Hescott, Benjamin; Hu, Xiaozhe
2018
Convergence of the multigrid reduction in time algorithm for the linear elasticity equations. Zbl 06945791
Hessenthaler, A.; Nordsletten, D.; Röhrle, O.; Schroder, J. B.; Falgout, R. D.
2018
A geometric multigrid method for isogeometric compatible discretizations of the generalized Stokes and Oseen problems. Zbl 06945793
Coley, Christopher; Benzaken, Joseph; Evans, John A.
2018
A two-phase strategy for control constrained elliptic optimal control problems. Zbl 06945798
Song, Xiao-Liang; Yu, Bo
2018
Low-rank approximation of tensors via sparse optimization. Zbl 06861608
Wang, Xiaofei; Navasca, Carmeliza
2018
On a Chebyshev accelerated splitting iteration method with application to two-by-two block linear systems. Zbl 06987000
Wang, Zeng-Qi
2018
Compact representation of the full Broyden class of quasi-Newton updates. Zbl 06987009
DeGuchy, Omar; Erway, Jennifer B.; Marcia, Roummel F.
2018
SMASH: structured matrix approximation by separation and hierarchy. Zbl 07031743
Cai, Difeng; Chow, Edmond; Erlandson, Lucas; Saad, Yousef; Xi, Yuanzhe
2018
Local Fourier analysis of block-structured multigrid relaxation schemes for the Stokes equations. Zbl 06945783
He, Yunhui; MacLachlan, Scott P.
2018
Bounds for the decay of the entries in inverses and Cauchy-Stieltjes functions of certain sparse, normal matrices. Zbl 06945797
Frommer, Andreas; Schimmel, Claudia; Schweitzer, Marcel
2018
Methods for solving underdetermined systems. Zbl 06861601
Qian, Jiang; Andrew, Alan L.; Chu, Delin; Tan, Roger C. E.
2018
BFGS-like updates of constraint preconditioners for sequences of KKT linear systems in quadratic programming. Zbl 06986987
Bergamaschi, L.; De Simone, V.; di Serafino, D.; Martínez, A.
2018
Perturbation analysis in finite LD-QBD processes and applications to epidemic models. Zbl 06986994
Gómez-Corral, A.; López-García, M.
2018
Accurate computations with collocation matrices of a general class of bases. Zbl 06987007
Mainar, E.; Peña, J. M.
2018
Two-step Newton-type methods for solving inverse eigenvalue problems. Zbl 06987008
Chen, Xiao Shan; Wen, Chao Tao; Sun, Hai-Wei
2018
Krylov eigenvalue strategy using the FEAST algorithm with inexact system solves. Zbl 06987011
Gavin, Brendan; Polizzi, Eric
2018
Linear systems with a canonical polyadic decomposition constrained solution: algorithms and applications. Zbl 07031736
Boussé, M.; Vervliet, N.; Domanov, I.; Debals, O.; De Lathauwer, L.
2018
...and 955 more Documents
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#### Cited by 6,402 Authors

 106 Wei, Yimin 85 Ma, Changfeng 84 Huang, Ting-Zhu 68 Qi, Liqun 55 Reichel, Lothar 54 Axelsson, Axel Owe Holger 54 Benner, Peter 54 Zhang, Guofeng 42 Serra-Capizzano, Stefano 41 Simoncini, Valeria 39 Li, Wen 36 Wu, Shiliang 35 Li, Chaoqian 35 Ng, Michael Kwok-Po 34 Bai, Zhongzhi 34 Chen, Guoliang 31 Li, Cuixia 31 Li, Yaotang 31 Liang, Zhaozheng 30 Jia, Zhongxiao 29 Saad, Yousef 29 Vuik, Cornelis 28 Li, Zi-Cai 28 Vassilevski, Panayot Spirov 27 Cao, Yang 27 Szyld, Daniel B. 26 Gaspar, Francisco José 26 Vandebril, Raf 26 Wang, Qingwen 25 Gander, Martin Jakob 25 Hu, Xiaozhe 25 Rodrigo, Carmen 25 Van Barel, Marc 25 Wu, Yujiang 25 Yang, Aili 25 Zheng, Bing 24 Benzi, Michele 24 Lin, Wen-Wei 23 Khojasteh Salkuyeh, Davod 23 Margenov, Svetozar D. 23 Neytcheva, Maya G. 22 Bergamaschi, Luca 22 Donatelli, Marco 22 Dostál, Zdeněk 22 Gu, Xian-Ming 22 Huang, Zhengge 22 Zikatanov, Ludmil T. 21 Kressner, Daniel 21 Vong, Seakweng 20 Blaheta, Radim 20 Cui, Jingjing 20 Ferronato, Massimiliano 20 Huang, Hung-Tsai 20 Huang, Na 20 Ke, Yifen 20 Klawonn, Axel 20 Zheng, Hua 19 Brenner, Susanne Cecelia 19 Dai, Hua 19 Diao, Huaian 19 Pavarino, Luca Franco 19 Tian, Yongge 19 Wu, Gang 18 Argyros, Ioannis Konstantinos 18 Gu, Chuanqing 18 Hajarian, Masoud 18 Kraus, Johannes K. 18 Lu, Linzhang 18 Niu, Qiang 18 Wang, Yiju 18 Zhao, Xile 17 Bini, Dario Andrea 17 Carpentieri, Bruno 17 Chen, Haibin 17 Harbrecht, Helmut 17 Kürschner, Patrick 17 MacLachlan, Scott P. 17 Mehrmann, Volker 17 Notay, Yvan 17 Rheinbach, Oliver 17 Stoll, Martin 17 Wang, Xiang 17 Xu, Jinchao 17 Yin, Junfeng 16 Elman, Howard C. 16 Gemignani, Luca 16 Jbilou, Khalide 16 King-wah Chu, Eric 16 Li, Liang 16 Novati, Paolo 16 Oseledets, Ivan V. 16 Peña, Juan Manuel 16 Ren, Zhi-Ru 16 Xia, Jianlin 16 Xu, Zhong 16 Zhang, Jun 15 Janna, Carlo 15 Jing, Yanfei 15 Khoromskij, Boris N. 15 Lin, Yiqin ...and 6,302 more Authors
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#### Cited in 434 Journals

 519 Journal of Computational and Applied Mathematics 394 Linear Algebra and its Applications 320 SIAM Journal on Scientific Computing 296 Numerical Linear Algebra with Applications 285 Applied Mathematics and Computation 263 Numerical Algorithms 245 Computers & Mathematics with Applications 222 Journal of Computational Physics 177 Applied Numerical Mathematics 173 Computer Methods in Applied Mechanics and Engineering 138 SIAM Journal on Matrix Analysis and Applications 113 Journal of Scientific Computing 112 Numerische Mathematik 103 BIT 95 Computational and Applied Mathematics 78 Linear and Multilinear Algebra 68 International Journal of Computer Mathematics 66 Applied Mathematics Letters 62 Mathematics of Computation 61 Calcolo 54 International Journal for Numerical Methods in Engineering 48 Advances in Computational Mathematics 47 Computational Optimization and Applications 45 SIAM Journal on Numerical Analysis 44 Mathematics and Computers in Simulation 44 East Asian Journal on Applied Mathematics 43 Mathematical Problems in Engineering 37 Engineering Analysis with Boundary Elements 36 Journal of Applied Mathematics 35 Journal of Optimization Theory and Applications 35 Journal of Applied Mathematics and Computing 34 Computers and Fluids 34 ETNA. Electronic Transactions on Numerical Analysis 34 Frontiers of Mathematics in China 30 Journal of Inequalities and Applications 29 Computing 28 Computational Geosciences 27 Applied Mathematical Modelling 26 Journal of Mathematical Analysis and Applications 24 Numerical Methods for Partial Differential Equations 24 Computing and Visualization in Science 23 Automatica 23 Abstract and Applied Analysis 23 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 20 Inverse Problems 20 Applications of Mathematics 20 Optimization Methods & Software 20 Journal of Numerical Mathematics 19 Computational Mechanics 19 Japan Journal of Industrial and Applied Mathematics 19 Journal of Industrial and Management Optimization 19 Science China. Mathematics 19 SIAM/ASA Journal on Uncertainty Quantification 18 Journal of the Franklin Institute 18 Journal of Mathematical Sciences (New York) 17 Computational Methods in Applied Mathematics 16 International Journal for Numerical Methods in Fluids 16 Systems & Control Letters 15 ELA. The Electronic Journal of Linear Algebra 15 Archives of Computational Methods in Engineering 15 Multiscale Modeling & Simulation 14 Computer Physics Communications 14 Numerical Functional Analysis and Optimization 13 Mathematical and Computer Modelling 13 SIAM Review 13 Open Mathematics 12 Journal of Applied Analysis and Computation 11 Journal of Global Optimization 11 Mediterranean Journal of Mathematics 11 Acta Numerica 10 SIAM Journal on Imaging Sciences 10 Numerical Algebra, Control and Optimization 9 International Journal of Control 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 Mathematical Programming. Series A. Series B 9 Communications in Numerical Methods in Engineering 9 Applied and Computational Harmonic Analysis 9 GAMM-Mitteilungen 8 ACM Transactions on Mathematical Software 8 Computational Mathematics and Mathematical Physics 8 SIAM Journal on Optimization 8 International Journal of Computational Methods 8 Inverse Problems in Science and Engineering 8 Journal of the Operations Research Society of China 7 Information Sciences 7 Theoretical Computer Science 7 Bulletin of the Iranian Mathematical Society 7 Computer Aided Geometric Design 7 European Journal of Operational Research 7 Journal of Mathematical Imaging and Vision 7 Foundations of Computational Mathematics 7 SIAM Journal on Applied Dynamical Systems 7 Optimization Letters 7 Inverse Problems and Imaging 7 S$$\vec{\text{e}}$$MA Journal 7 Results in Applied Mathematics 6 Journal of Engineering Mathematics 6 Journal of Approximation Theory 6 Computational Statistics and Data Analysis 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering ...and 334 more Journals
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#### Cited in 59 Fields

 4,802 Numerical analysis (65-XX) 1,497 Linear and multilinear algebra; matrix theory (15-XX) 908 Partial differential equations (35-XX) 545 Fluid mechanics (76-XX) 454 Operations research, mathematical programming (90-XX) 341 Mechanics of deformable solids (74-XX) 233 Systems theory; control (93-XX) 224 Calculus of variations and optimal control; optimization (49-XX) 195 Computer science (68-XX) 156 Probability theory and stochastic processes (60-XX) 149 Operator theory (47-XX) 143 Optics, electromagnetic theory (78-XX) 124 Information and communication theory, circuits (94-XX) 115 Statistics (62-XX) 108 Ordinary differential equations (34-XX) 102 Combinatorics (05-XX) 92 Biology and other natural sciences (92-XX) 60 Statistical mechanics, structure of matter (82-XX) 56 Approximations and expansions (41-XX) 54 Geophysics (86-XX) 53 Quantum theory (81-XX) 45 Dynamical systems and ergodic theory (37-XX) 36 Integral equations (45-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Real functions (26-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 30 Mechanics of particles and systems (70-XX) 23 Functional analysis (46-XX) 23 Differential geometry (53-XX) 20 Classical thermodynamics, heat transfer (80-XX) 17 Special functions (33-XX) 16 Number theory (11-XX) 15 Functions of a complex variable (30-XX) 14 Difference and functional equations (39-XX) 13 Field theory and polynomials (12-XX) 11 General and overarching topics; collections (00-XX) 11 History and biography (01-XX) 9 Commutative algebra (13-XX) 9 Integral transforms, operational calculus (44-XX) 8 Algebraic geometry (14-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Potential theory (31-XX) 4 Associative rings and algebras (16-XX) 4 Group theory and generalizations (20-XX) 4 Astronomy and astrophysics (85-XX) 3 Nonassociative rings and algebras (17-XX) 3 Sequences, series, summability (40-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Algebraic topology (55-XX) 2 Relativity and gravitational theory (83-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX)