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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)

Publications by Year

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
Saad, Yousef
152
1994
Optimal parameters in the HSS-like methods for saddle-point problems. Zbl 1224.65081
Bai, Zhong-Zhi
150
2009
Modulus-based matrix splitting iteration methods for linear complementarity problems. Zbl 1240.65181
Bai, Zhong-Zhi
130
2010
Recent computational developments in Krylov subspace methods for linear systems. Zbl 1199.65112
Simoncini, Valeria; Szyld, Daniel B.
108
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.
104
2007
Fast algorithms for hierarchically semiseparable matrices. Zbl 1240.65087
Xia, Jianlin; Chandrasekaran, Shivkumar; Gu, Ming; Li, Xiaoye S.
100
2010
Real valued iterative methods for solving complex symmetric linear systems. Zbl 1051.65025
Axelsson, Owe; Kucherov, Andrey
99
2000
A scalable dual-primal domain decomposition method. Zbl 1051.65119
Farhat, Charbel; Lesoinne, Michael; Pierson, Kendall
97
2000
Preconditioning discretizations of systems of partial differential equations. Zbl 1249.65246
Mardal, Kent-Andre; Winther, Ragnar
94
2011
Convergence of a balancing domain decomposition by constraints and energy minimization. Zbl 1071.65558
Mandel, Jan; Dohrmann, Clark R.
91
2003
Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036
Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A.
84
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.
83
2008
Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Zbl 1313.65131
Bai, Zhong-Zhi; Zhang, Li-Li
76
2013
A modified modulus method for symmetric positive-definite linear complementarity problems. Zbl 1224.65152
Dong, Jun-Liang; Jiang, Mei-Qun
74
2009
GMRESR: A family of nested GMRES methods. Zbl 0839.65040
Van der Vorst, H. A.; Vuik, C.
69
1994
Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038
Perugia, I.; Simoncini, V.
69
2000
A projection method to solve linear systems in tensor format. Zbl 1289.65049
Ballani, Jonas; Grasedyck, Lars
68
2013
A new approximation of the Schur complement in preconditioners for PDE-constrained optimization. Zbl 1274.65187
Pearson, John W.; Wathen, Andrew J.
66
2012
New eigenvalue inclusion sets for tensors. Zbl 1324.15026
Li, Chaoqian; Li, Yaotang; Kong, Xu
65
2014
The \(Z\)-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory. Zbl 1313.65081
Li, Guoyin; Qi, Liqun; Yu, Gaohang
60
2013
A survey on the spectral theory of nonnegative tensors. Zbl 1313.15015
Chang, Kungching; Qi, Liqun; Zhang, Tan
57
2013
Deflated and augmented Krylov subspace techniques. Zbl 0889.65028
Chapman, A.; Saad, Y.
52
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
50
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
49
2006
A splitting preconditioner for saddle point problems. Zbl 1249.65065
Cao, Yang; Jiang, Mei-Qun; Zheng, Ying-Long
49
2011
Harmonic projection methods for large non-symmetric eigenvalue problems. Zbl 0937.65045
Morgan, R. B.; Zeng, M.
48
1998
A new investigation of the extended Krylov subspace method for matrix function evaluations. Zbl 1240.65154
Knizhnerman, L.; Simoncini, V.
43
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
41
2015
Two classes of multisecant methods for nonlinear acceleration. Zbl 1224.65134
Fang, Haw-ren; Saad, Yousef
41
2009
Existence of a low rank or \(\mathcal H\)-matrix approximant to the solution of a Sylvester equation. Zbl 1164.65381
Grasedyck, L.
39
2004
Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models. Zbl 1289.65048
Bai, Zhong-Zhi
38
2012
Convergence analysis of a block improvement method for polynomial optimization over unit spheres. Zbl 1374.65105
Wang, Yiju; Caccetta, Louis; Zhou, Guanglu
38
2015
Indefinitely preconditioned inexact Newton method for large sparse equality constrained nonlinear programming problems. Zbl 0937.65066
Lukšan, Ladislav; Vlček, Jan
37
1998
ARMS: an algebraic recursive multilevel solver for general sparse linear systems. Zbl 1071.65001
Saad, Y.; Suchomel, B.
37
2002
Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor. Zbl 1274.65129
Zhang, Liping; Qi, Liqun
37
2012
Efficient preconditioning scheme for block partitioned matrices with structured sparsity. Zbl 1051.65059
Poirier, Bill
36
2000
Combination of Jacobi–Davidson and conjugate gradients for the partial symmetric eigenproblem. Zbl 1071.65516
Notay, Y.
35
2002
Augmentation block preconditioners for saddle point-type matrices with singular \((1,1)\) blocks. Zbl 1212.65146
Cao, Zhi-Hao
35
2008
The inverse problem of bisymmetric matrices with a submatrix constraint. Zbl 1164.15322
Peng, Zhen-yun; Hu, Xi-yan; Zhang, Lei
34
2004
Preconditioners for the discretized time-harmonic Maxwell equations in mixed form. Zbl 1199.78010
Greif, Chen; Schötzau, Dominik
34
2007
Direct methods and ADI-preconditioned Krylov subspace methods for generalized Lyapunov equations. Zbl 1212.65175
Damm, T.
34
2008
Eigenvalue estimates for preconditioned saddle point matrices. Zbl 1224.65080
Axelsson, Owe; Neytcheva, Maya
32
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
32
2006
Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. Zbl 1051.65050
Carpentieri, B.; Duff, I. S.; Giraud, L.
31
2000
Block-triangular preconditioners for PDE-constrained optimization. Zbl 1240.65097
Rees, Tyrone; Stoll, Martin
31
2010
On two-grid convergence estimates. Zbl 1164.65343
Falgout, Robert D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
31
2005
Diagonally compensated reduction and related preconditioning methods. Zbl 0837.65023
Axelsson, O.; Kolotilina, L.
30
1994
A simpler GMRES. Zbl 0838.65030
Walker, Homer F.; Zhou, Lu
30
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.
30
1998
A note on the representation and definition of semiseparable matrices. Zbl 1164.15341
Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola
30
2005
New convergence results and preconditioning strategies for the conjugate gradient method. Zbl 0837.65027
Kaporin, I. E.
29
1994
On the convergence of general stationary iterative methods for range-Hermitian singular linear systems. Zbl 1240.65120
Zhang, Naimin; Wei, Yi-Min
29
2010
Displacement decomposition – incomplete factorization preconditioning techniques for linear elasticity problems. Zbl 0837.65021
Blaheta, Radim
28
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.
28
2006
Tridiagonal Toeplitz matrices: properties and novel applications. Zbl 1289.65082
Noschese, Silvia; Pasquini, Lionello; Reichel, Lothar
28
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
28
2007
A survey of spectral factorization methods. Zbl 1053.47013
Sayed, A. H.; Kailath, T.
27
2001
A Power-Arnoldi algorithm for computing PageRank. Zbl 1199.65125
Wu, Gang; Wei, Yimin
27
2007
More on extremal ranks of the matrix expressions \(A-BX \pm X^{*}B^{*}\) with statistical applications. Zbl 1212.15029
Liu, Y.; Tian, Y.
27
2008
Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems. Zbl 1274.65313
Bastian, Peter; Blatt, Markus; Scheichl, Robert
27
2012
An algebraic multigrid method for finite element discretizations with edge elements. Zbl 1071.65170
Reitzinger, S.; Schöberl, J.
26
2002
On the convergence of shifted Laplace preconditioner combined with multilevel deflation. Zbl 1313.65293
Sheikh, A. H.; Lahaye, D.; Vuik, C.
26
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
26
2009
A spectral algorithm for envelope reduction of sparse matrices. Zbl 0833.65038
Barnard, Stephen T.; Pothen, Alex; Simon, Horst
25
1995
Local Fourier analysis for multigrid with overlapping smoothers applied to systems of PDEs. Zbl 1265.65256
MacLachlan, Scott P.; Oosterlee, C. W.
25
2011
Efficient estimation of eigenvalue counts in an interval. Zbl 1413.65092
Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef
25
2016
Recursive Krylov-based multigrid cycles. Zbl 1212.65132
Notay, Y.; Vassilevski, P. S.
25
2008
Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic. Zbl 0831.65042
Druskin, Vladimir; Knizhnerman, Leonid
24
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
24
1994
Decoupling preconditioners in the implicit parallel accurate reservoir simulator (IPARS). Zbl 1071.76583
Lacroix, Sébastien; Vassilevski, Yuri V.; Wheeler, Mary F.
24
2001
Indefinitely preconditioned conjugate gradient method for large sparse equality and inequality constrained quadratic problems. Zbl 1071.65512
Durazzi, C.; Ruggiero, V.
24
2003
Efficient approximation of random fields for numerical applications. Zbl 1349.65048
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
24
2015
Local Fourier analysis of the complex shifted Laplacian preconditioner for Helmholtz problems. Zbl 1313.65320
Cools, Siegfried; Vanroose, Wim
24
2013
Asymptotic convergence of conjugate gradient methods for the partial symmetric eigenproblem. Zbl 0889.65032
Bergamaschi, L.; Gambolati, G.; Pini, G.
23
1997
On the performance of various adaptive preconditioned GMRES strategies. Zbl 0937.65036
Burrage, K.; Erhel, J.
23
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.
23
2005
A fully implicit parallel algorithm for simulating the nonlinear electrical activity of the heart. Zbl 1114.65112
Murillo, Maria; Cai, Xiao-Chuan.
23
2004
Algebraic multilevel preconditioning of finite element matrices using local Schur complements. Zbl 1174.65398
Kraus, J. K.
23
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
23
2015
An approximate BDDC preconditioner. Zbl 1199.65088
Dohrmann, C. R.
23
2007
A probing method for computing the diagonal of a matrix inverse. Zbl 1274.65132
Tang, Jok M.; Saad, Yousef
23
2012
Eigenvalue translation based preconditioners for the \(\text{GMRES}(k)\) method. Zbl 0829.65036
Kharchenko, S. A.; Yeremin, A. Yu.
22
1995
A waveform relaxation algorithm with overlapping splitting for reaction diffusion equations. Zbl 0983.65107
Gander, Martin J.
22
1999
A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528
Benzi, Michele; Tůma, Miroslav
22
2003
A finite volume element method for a non-linear elliptic problem. Zbl 1164.65494
Chatzipantelidis, P.; Ginting, V.; Lazarov, R. D.
22
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
22
2015
Multigrid methods for the symmetric interior penalty method on graded meshes. Zbl 1224.65288
Brenner, S. C.; Cui, J.; Sung, L.-Y.
22
2009
Stability of block. Zbl 0834.65010
Demmel, James W.; Higham, Nicholas J.; Schreiber, Robert S.
21
1995
Factorized sparse approximate inverse preconditionings. IV: Simple approaches to rising efficiency. Zbl 0983.65062
Kolotilina, L. Yu; Nikishin, A. A.; Yeremin, A. Yu.
21
1999
Preconditioning methods for linear systems arising in constrained optimization problems. Zbl 1071.65527
Axelsson, Owe; Neytcheva, Maya
21
2003
Multigrid techniques for finite elements on locally refined meshes. Zbl 1051.65117
Becker, R.; Braack, M.
21
2000
Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers. Zbl 1164.15309
Böttcher, A.; Grudsky, S. M.
21
2005
An implicit \(QR\) algorithm for symmetric semiseparable matrices. Zbl 1164.65368
Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola
21
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
21
2014
Fast Hankel tensor-vector product and its application to exponential data fitting. Zbl 1349.65070
Ding, Weiyang; Qi, Liqun; Wei, Yimin
21
2015
A simultaneous decomposition of a matrix triplet with applications. Zbl 1249.15020
Liu, Yonghui; Tian, Yongge
21
2011
On eigenvalue distribution of constraint-preconditioned symmetric saddle point matrices. Zbl 1274.65084
Bergamaschi, Luca
21
2012
Efficient computation of the exponential operator for large, sparse, symmetric matrices. Zbl 0983.65058
Bergamaschi, L.; Vianello, M.
20
2000
A multigrid method based on graph matching for convection-diffusion equations. Zbl 1071.65167
Kim, HwanHo; Xu, Jinchao; Zikatanov, Ludmil
20
2003
The modulus-based matrix splitting algorithms for a class of weakly nonlinear complementarity problems. Zbl 1413.65253
Huang, Na; Ma, Changfeng
20
2016
A local Fourier analysis of additive Vanka relaxation for the Stokes equations. Zbl 07361104
Farrell, Patrick E.; He, Yunhui; MacLachlan, Scott P.
2
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
1
2021
Semiconvergence analysis of the randomized row iterative method and its extended variants. Zbl 07332748
Wu, Nianci; Xiang, Hua
1
2021
Two-level Fourier analysis of multigrid for higher-order finite-element discretizations of the Laplacian. Zbl 1463.65403
He, Yunhui; MacLachlan, Scott
4
2020
Approximation of a fractional power of an elliptic operator. Zbl 07217193
Vabishchevich, P. N.
3
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
3
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.
2
2020
Approximate solutions to large nonsymmetric differential Riccati problems with applications to transport theory. Zbl 1463.65087
Angelova, V.; Hached, M.; Jbilou, K.
2
2020
Extrapolation methods for fixed-point multilinear PageRank computations. Zbl 07177905
Cipolla, Stefano; Redivo-Zaglia, Michela; Tudisco, Francesco
2
2020
Further results on the Drazin inverse of even-order tensors. Zbl 07286029
Behera, Ratikanta; Nandi, Ashish Kumar; Sahoo, Jajati Keshari
2
2020
Modulus-based synchronous multisplitting methods for solving horizontal linear complementarity problems on parallel computers. Zbl 07286030
Mezzadri, Francesco
2
2020
The tensor t-function: a definition for functions of third-order tensors. Zbl 1463.15052
Lund, Kathryn
2
2020
On approximating the nearest \(\Omega\)-stable matrix. Zbl 07217198
Choudhary, Neelam; Gillis, Nicolas; Sharma, Punit
2
2020
Effectiveness and robustness revisited for a preconditioning technique based on structured incomplete factorization. Zbl 07217203
Xin, Zixing; Xia, Jianlin; Cauley, Stephen; Balakrishnan, Venkataramanan
2
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
2
2020
Robust tensor completion using transformed tensor singular value decomposition. Zbl 07217207
Song, Guangjing; Ng, Michael K.; Zhang, Xiongjun
2
2020
Interior-point methods and preconditioning for PDE-constrained optimization problems involving sparsity terms. Zbl 07177902
Pearson, John W.; Porcelli, Margherita; Stoll, Martin
1
2020
Structured FISTA for image restoration. Zbl 07177903
Chen, Zixuan; Nagy, James G.; Xi, Yuanzhe; Yu, Bo
1
2020
Synchronous and asynchronous optimized Schwarz methods for one-way subdivision of bounded domains. Zbl 07177904
El Haddad, Mireille; Garay, José C.; Magoulès, Frédéric; Szyld, Daniel B.
1
2020
NURBS in isogeometric discretization methods: a spectral analysis. Zbl 07286031
Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
1
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
1
2020
Decompositions of third-order tensors: HOSVD, T-SVD, and Beyond. Zbl 07217200
Zeng, Chao; Ng, Michael K.
1
2020
Semi-active \(\mathcal{H}_{\infty}\) damping optimization by adaptive interpolation. Zbl 1463.93076
Tomljanović, Zoran; Voigt, Matthias
1
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
12
2019
On greedy randomized coordinate descent methods for solving large linear least-squares problems. Zbl 1449.65128
Bai, Zhong-Zhi; Wu, Wen-Ting
9
2019
Krylov subspace methods to solve a class of tensor equations via the Einstein product. Zbl 1463.65045
Huang, Baohua; Xie, Yajun; Ma, Changfeng
7
2019
Tight upper bounds for the convergence of the randomized extended Kaczmarz and Gauss-Seidel algorithms. Zbl 07088859
Du, Kui
6
2019
Robust quaternion matrix completion with applications to image inpainting. Zbl 07088871
Jia, Zhigang; Ng, Michael K.; Song, Guang-Jing
6
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
5
2019
Randomized algorithms for total least squares problems. Zbl 07031719
Xie, Pengpeng; Xiang, Hua; Wei, Yimin
5
2019
Relaxation methods for solving the tensor equation arising from the higher-order Markov chains. Zbl 07144925
Liu, Dongdong; Li, Wen; Vong, Seak-Weng
3
2019
Direct and iterative methods for interval parametric algebraic systems producing parametric solutions. Zbl 1463.65108
Skalna, Iwona; Hladík, Milan
3
2019
Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz-type matrices. Zbl 1449.15071
Noschese, Silvia; Reichel, Lothar
3
2019
Accurate computations with Laguerre matrices. Zbl 07031717
Delgado, Jorge; Orera, Héctor; Peña, Juan Manuel
3
2019
A parallel time integrator for solving the linearized shallow water equations on the rotating sphere. Zbl 07031721
Schreiber, Martin; Loft, Richard
3
2019
Nonsingular systems of generalized Sylvester equations: an algorithmic approach. Zbl 07144926
De Terán, Fernando; Iannazzo, Bruno; Poloni, Federico; Robol, Leonardo
2
2019
Hybrid enriched bidiagonalization for discrete ill-posed problems. Zbl 1449.65093
Hansen, Per Christian; Dong, Yiqiu; Abe, Kuniyoshi
2
2019
A coarse-fine-mesh stabilization for an alternating Schwarz domain decomposition method. Zbl 1463.65400
Axelsson, Owe; Gustafsson, Ivar
2
2019
Subspace methods for three-parameter eigenvalue problems. Zbl 1463.65071
Hochstenbach, Michiel E.; Meerbergen, Karl; Mengi, Emre; Plestenjak, Bor
2
2019
Accelerating the iterative solution of convection-diffusion problems using singular value decomposition. Zbl 1463.65075
Pitton, Giuseppe; Heltai, Luca
2
2019
Preconditioning for boundary control problems in incompressible fluid dynamics. Zbl 07031718
Heidel, Gennadij; Wathen, Andy
2
2019
On the distribution of real eigenvalues in linear viscoelastic oscillators. Zbl 07031728
Mohammadi, Seyyed Abbas; Voss, Heinrich
2
2019
Nearness results for real tridiagonal \(2\)-Toeplitz matrices. Zbl 1463.65067
Bebiano, Natália; Furtado, Susana
1
2019
When is a matrix unitary or Hermitian plus low rank? Zbl 1463.15075
Del Corso, Gianna M.; Poloni, Federico; Robol, Leonardo; Vandebril, Raf
1
2019
Direct solution method for the equilibrium problem for elastic stents. Zbl 1449.74125
Grubišić, Luka; Tambača, Josip
1
2019
Spectral condition-number estimation of large sparse matrices. Zbl 1449.65097
Avron, Haim; Druinsky, Alex; Toledo, Sivan
1
2019
Convergence analysis of Anderson-type acceleration of Richardson’s iteration. Zbl 1463.65053
Lupo Pasini, Massimiliano
1
2019
Preconditioned iterative methods for diffusion problems with high-contrast inclusions. Zbl 1449.65058
Gorb, Yuliya; Kramarenko, Vasiliy; Kuznetsov, Yuri
1
2019
Fast approximate truncated SVD. Zbl 1449.65082
Shishkin, Serge L.; Shalaginov, Arkadi; Bopardikar, Shaunak D.
1
2019
Backward error analysis for linearizations in heavily damped quadratic eigenvalue problem. Zbl 1449.65074
Chen, Hongjia; Meng, Jie; Sakurai, Tetsuya; Wang, Xiang
1
2019
On the singular Neumann problem in linear elasticity. Zbl 07031712
Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael
1
2019
A restarted Krylov method with inexact inversions. Zbl 07031713
Dax, Achiya
1
2019
A compact rational Krylov method for large-scale rational eigenvalue problems. Zbl 07031714
Dopico, Froilán M.; González-Pizarro, Javier
1
2019
A comparison of preconditioned Krylov subspace methods for large-scale nonsymmetric linear systems. Zbl 07031715
Ghai, Aditi; Lu, Cao; Jiao, Xiangmin
1
2019
Objective acceleration for unconstrained optimization. Zbl 07031716
Riseth, Asbjørn Nilsen
1
2019
A multigrid solver to the Helmholtz equation with a point source based on travel time and amplitude. Zbl 07031720
Treister, Eran; Haber, Eldad
1
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
1
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
1
2019
Solving bilinear tensor least squares problems and application to Hammerstein identification. Zbl 07031726
Eldén, Lars; Ahmadi-Asl, Salman
1
2019
A fast algorithm for the spectral radii of weakly reducible nonnegative tensors. Zbl 06861606
Zhou, Guanglu; Wang, Gang; Qi, Liqun; Alqahtani, Mohammed
19
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
18
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.
14
2018
Scaled norm minimization method for computing the parameters of the HSS and the two-parameter HSS preconditioners. Zbl 06945800
Yang, Ai-Li
11
2018
Computing the nearest stable matrix pairs. Zbl 06986990
Gillis, Nicolas; Mehrmann, Volker; Sharma, Punit
11
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
8
2018
Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts. Zbl 06945795
Bai, Zhong-Zhi
8
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
8
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.
8
2018
Solving time-periodic fractional diffusion equations via diagonalization technique and multigrid. Zbl 06987002
Wu, Shu-Lin; Zhang, Hui; Zhou, Tao
7
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.
6
2018
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations. Zbl 06986992
Bai, Zhong-Zhi
6
2018
Data-driven model order reduction of quadratic-bilinear systems. Zbl 07031732
Gosea, Ion Victor; Antoulas, Athanasios C.
6
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
6
2018
An efficient variant of HSS preconditioner for generalized saddle point problems. Zbl 06945801
Zhang, Ju-Li
5
2018
On two high-order families of frozen Newton-type methods. Zbl 1424.65072
Amat, S.; Argyros, I.; Busquier, S.; Hernández-Verón, M. A.
5
2018
Approximate inversion method for time-fractional subdiffusion equations. Zbl 06861604
Lu, Xin; Pang, Hong-Kui; Sun, Hai-Wei; Vong, Seak-Weng
5
2018
Eigenvalues and eigenvectors of banded Toeplitz matrices and the related symbols. Zbl 06986985
Ekström, S.-E.; Serra-Capizzano, S.
5
2018
Domain decomposition approaches for accelerating contour integration eigenvalue solvers for symmetric eigenvalue problems. Zbl 06986991
Kalantzis, Vassilis; Kestyn, James; Polizzi, Eric; Saad, Yousef
5
2018
Krylov methods for low-rank commuting generalized Sylvester equations. Zbl 07031731
Jarlebring, Elias; Mele, Giampaolo; Palitta, Davide; Ringh, Emil
5
2018
Recursive integral method with Cayley transformation. Zbl 07031739
Huang, R.; Sun, J.; Yang, C.
5
2018
A randomized tensor singular value decomposition based on the t-product. Zbl 06987003
Zhang, Jiani; Saibaba, Arvind K.; Kilmer, Misha E.; Aeron, Shuchin
4
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
4
2018
Distributed hierarchical SVD in the hierarchical Tucker format. Zbl 07031735
Grasedyck, Lars; Löbbert, Christian
4
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
3
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.
3
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.
3
2018
A two-phase strategy for control constrained elliptic optimal control problems. Zbl 06945798
Song, Xiao-Liang; Yu, Bo
3
2018
Low-rank approximation of tensors via sparse optimization. Zbl 06861608
Wang, Xiaofei; Navasca, Carmeliza
3
2018
On a Chebyshev accelerated splitting iteration method with application to two-by-two block linear systems. Zbl 06987000
Wang, Zeng-Qi
3
2018
Compact representation of the full Broyden class of quasi-Newton updates. Zbl 06987009
DeGuchy, Omar; Erway, Jennifer B.; Marcia, Roummel F.
3
2018
SMASH: structured matrix approximation by separation and hierarchy. Zbl 07031743
Cai, Difeng; Chow, Edmond; Erlandson, Lucas; Saad, Yousef; Xi, Yuanzhe
3
2018
Local Fourier analysis of block-structured multigrid relaxation schemes for the Stokes equations. Zbl 06945783
He, Yunhui; MacLachlan, Scott P.
2
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
2
2018
Methods for solving underdetermined systems. Zbl 06861601
Qian, Jiang; Andrew, Alan L.; Chu, Delin; Tan, Roger C. E.
2
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.
2
2018
Perturbation analysis in finite LD-QBD processes and applications to epidemic models. Zbl 06986994
Gómez-Corral, A.; López-García, M.
2
2018
Accurate computations with collocation matrices of a general class of bases. Zbl 06987007
Mainar, E.; Peña, J. M.
2
2018
Two-step Newton-type methods for solving inverse eigenvalue problems. Zbl 06987008
Chen, Xiao Shan; Wen, Chao Tao; Sun, Hai-Wei
2
2018
Krylov eigenvalue strategy using the FEAST algorithm with inexact system solves. Zbl 06987011
Gavin, Brendan; Polizzi, Eric
2
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.
2
2018
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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
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