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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: https://onlinelibrary.wiley.com/loi/10991506
Comments: Journal; Published electronic only as of Vol. 19 (2012). Print ISSN until then: 1070-5325.
Documents Indexed: 1,458 Publications (since 1994)
References Indexed: 973 Publications with 24,525 References.
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...and 100 more Volumes
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Authors

29 Vassilevski, Panayot Spirov
27 Ng, Michael Kwok-Po
26 Axelsson, Axel Owe Holger
24 Wei, Yimin
23 Reichel, Lothar
23 Saad, Yousef
20 Bai, Zhongzhi
18 Manteuffel, Thomas A.
18 Serra-Capizzano, Stefano
17 Qi, Liqun
16 MacLachlan, Scott P.
13 McCormick, Steve Fahrney
13 Peña, Juan Manuel
12 Notay, Yvan
12 Simoncini, Valeria
11 Khoromskiĭ, Boris Nikolaevich
10 Bergamaschi, Luca
10 Blaheta, Radim
10 Li, Wen
10 Margenov, Svetozar D.
10 Scott, Jennifer A.
9 De Sterck, Hans
9 Donatelli, Marco
9 Neytcheva, Maya G.
9 Noschese, Silvia
9 Poloni, Federico Giovanni
9 Szyld, Daniel B.
9 Wathen, Andrew John
8 Gratton, Serge
8 Greif, Chen
8 Huang, Ting-Zhu
8 Kaporin, Igor E.
8 Oosterlee, Cornelis Willebrordus
8 Rüde, Ulrich
8 Ruge, J.
8 Van Huffel, Sabine
8 Yavneh, Irad
8 Zikatanov, Ludmil T.
7 Benner, Peter
7 Chan, Raymond Hon-Fu
7 Cvetković, Ljiljana
7 Falgout, Robert D.
7 Giraud, Luc
7 He, Yunhui
7 Kraus, Johannes K.
7 Kressner, Daniel
7 Lazarov, Raytcho D.
7 Lin, Wen-Wei
7 Mehrmann, Volker
7 Sun, Haiwei
7 Vuik, Cornelis
6 Benzi, Michele
6 Brezina, Marian
6 Bunch, James R.
6 Ching, Wai-Ki
6 Diao, Huaian
6 Dostál, Zdeněk
6 Gustafsson, Ivar
6 Kolotilina, Lily Yu.
6 Kostić, Vladimir R.
6 Lee, Barry
6 Marek, Ivo
6 Mastronardi, Nicola
6 Meerbergen, Karl
6 Olson, Luke N.
6 Pasciak, Joseph E.
6 Pultarová, Ivana
6 Tablino Possio, Cristina
6 Tuminaro, Raymond S.
6 Wu, Gang
6 Xiang, Hua
6 Yeremin, A. Yu.
5 Brannick, James J.
5 Cai, Xiao-Chuan
5 Chen, Xiaoshan
5 Dai, Yu-Hong
5 Duff, Iain S.
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 Khoromskaia, Venera
5 Kolev, Tzanio V.
5 Li, Zi-Cai
5 Lindskog, Gunhild
5 Martínez, Ángeles
5 Nagy, James Gerard
5 Nataf, Frédéric
5 Oseledets, Ivan Valer’evich
5 Pearson, John W.
5 Schroder, Jacob B.
5 Shu, Shi
5 Tůma, Miroslav
5 Tyrtyshnikov, Evgeniĭ Evgen’evich
5 Van Barel, Marc
5 Van der Vorst, Henk Albertus
5 Xi, Yuanzhe
...and 1,853 more Authors
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Fields

1,358 Numerical analysis (65-XX)
354 Linear and multilinear algebra; matrix theory (15-XX)
222 Partial differential equations (35-XX)
75 Operations research, mathematical programming (90-XX)
66 Fluid mechanics (76-XX)
63 Mechanics of deformable solids (74-XX)
42 Systems theory; control (93-XX)
38 Calculus of variations and optimal control; optimization (49-XX)
37 Probability theory and stochastic processes (60-XX)
31 Ordinary differential equations (34-XX)
30 General and overarching topics; collections (00-XX)
30 Computer science (68-XX)
30 Information and communication theory, circuits (94-XX)
23 Combinatorics (05-XX)
21 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)
9 Statistical mechanics, structure of matter (82-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Integral equations (45-XX)
7 Approximations and expansions (41-XX)
7 Geophysics (86-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Real functions (26-XX)
5 Mechanics of particles and systems (70-XX)
4 Special functions (33-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

Citations contained in zbMATH Open

1,190 Publications have been cited 12,662 times in 7,920 Documents Cited by Year
Modulus-based matrix splitting iteration methods for linear complementarity problems. Zbl 1240.65181
Bai, Zhong-Zhi
211
2010
ILUT: A dual threshold incomplete LU factorization. Zbl 0838.65026
Saad, Yousef
177
1994
Optimal parameters in the HSS-like methods for saddle-point problems. Zbl 1224.65081
Bai, Zhong-Zhi
173
2009
On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations. Zbl 1199.65097
Bai, Zhong-Zhi; Golub, Gene H.; Ng, Michael K.
134
2007
Preconditioning discretizations of systems of partial differential equations. Zbl 1249.65246
Mardal, Kent-Andre; Winther, Ragnar
131
2011
Fast algorithms for hierarchically semiseparable matrices. Zbl 1240.65087
Xia, Jianlin; Chandrasekaran, Shivkumar; Gu, Ming; Li, Xiaoye S.
130
2010
Recent computational developments in Krylov subspace methods for linear systems. Zbl 1199.65112
Simoncini, Valeria; Szyld, Daniel B.
128
2007
Real valued iterative methods for solving complex symmetric linear systems. Zbl 1051.65025
Axelsson, Owe; Kucherov, Andrey
123
2000
A scalable dual-primal domain decomposition method. Zbl 1051.65119
Farhat, Charbel; Lesoinne, Michael; Pierson, Kendall
114
2000
Modulus-based synchronous multisplitting iteration methods for linear complementarity problems. Zbl 1313.65131
Bai, Zhong-Zhi; Zhang, Li-Li
111
2013
A modified modulus method for symmetric positive-definite linear complementarity problems. Zbl 1224.65152
Dong, Jun-Liang; Jiang, Mei-Qun
109
2009
Convergence of a balancing domain decomposition by constraints and energy minimization. Zbl 1071.65558
Mandel, Jan; Dohrmann, Clark R.
103
2003
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
103
2008
A new approximation of the Schur complement in preconditioners for PDE-constrained optimization. Zbl 1274.65187
Pearson, John W.; Wathen, Andrew J.
96
2012
A projection method to solve linear systems in tensor format. Zbl 1289.65049
Ballani, Jonas; Grasedyck, Lars
93
2013
New eigenvalue inclusion sets for tensors. Zbl 1324.15026
Li, Chaoqian; Li, Yaotang; Kong, Xu
91
2014
Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036
Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A.
91
1995
Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations. Zbl 1051.65038
Perugia, I.; Simoncini, V.
83
2000
GMRESR: A family of nested GMRES methods. Zbl 0839.65040
Van der Vorst, H. A.; Vuik, C.
82
1994
Two classes of multisecant methods for nonlinear acceleration. Zbl 1224.65134
Fang, Haw-ren; Saad, Yousef
78
2009
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
78
2009
A survey on the spectral theory of nonnegative tensors. Zbl 1313.15015
Chang, Kungching; Qi, Liqun; Zhang, Tan
70
2013
The \(Z\)-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory. Zbl 1313.65081
Li, Guoyin; Qi, Liqun; Yu, Gaohang
70
2013
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
64
2006
Deflated and augmented Krylov subspace techniques. Zbl 0889.65028
Chapman, A.; Saad, Y.
63
1997
A splitting preconditioner for saddle point problems. Zbl 1249.65065
Cao, Yang; Jiang, Mei-Qun; Zheng, Ying-Long
60
2011
Preconditioned GSOR iterative method for a class of complex symmetric system of linear equations. Zbl 1363.65049
Hezari, Davod; Edalatpour, Vahid; Khojasteh Salkuyeh, Davod
56
2015
Convergence analysis of a block improvement method for polynomial optimization over unit spheres. Zbl 1374.65105
Wang, Yiju; Caccetta, Louis; Zhou, Guanglu
51
2015
Harmonic projection methods for large non-symmetric eigenvalue problems. Zbl 0937.65045
Morgan, R. B.; Zeng, M.
51
1998
A new investigation of the extended Krylov subspace method for matrix function evaluations. Zbl 1240.65154
Knizhnerman, L.; Simoncini, V.
51
2010
Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models. Zbl 1289.65048
Bai, Zhong-Zhi
49
2012
Tridiagonal Toeplitz matrices: properties and novel applications. Zbl 1289.65082
Noschese, Silvia; Pasquini, Lionello; Reichel, Lothar
47
2013
Preconditioners for the discretized time-harmonic Maxwell equations in mixed form. Zbl 1199.78010
Greif, Chen; Schötzau, Dominik
46
2007
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
45
2016
Indefinitely preconditioned inexact Newton method for large sparse equality constrained nonlinear programming problems. Zbl 0937.65066
Lukšan, Ladislav; Vlček, Jan
45
1998
Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor. Zbl 1274.65129
Zhang, Liping; Qi, Liqun
45
2012
Efficient preconditioning scheme for block partitioned matrices with structured sparsity. Zbl 1051.65059
Poirier, Bill
45
2000
Block-triangular preconditioners for PDE-constrained optimization. Zbl 1240.65097
Rees, Tyrone; Stoll, Martin
44
2010
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
43
2017
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
43
2006
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
42
2007
Direct methods and ADI-preconditioned Krylov subspace methods for generalized Lyapunov equations. Zbl 1212.65175
Damm, T.
42
2008
Existence of a low rank or \(\mathcal H\)-matrix approximant to the solution of a Sylvester equation. Zbl 1164.65381
Grasedyck, L.
42
2004
ARMS: an algebraic recursive multilevel solver for general sparse linear systems. Zbl 1071.65001
Saad, Y.; Suchomel, B.
41
2002
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
40
2015
Combination of Jacobi–Davidson and conjugate gradients for the partial symmetric eigenproblem. Zbl 1071.65516
Notay, Y.
39
2002
Augmentation block preconditioners for saddle point-type matrices with singular \((1,1)\) blocks. Zbl 1212.65146
Cao, Zhi-Hao
39
2008
Eigenvalue estimates for preconditioned saddle point matrices. Zbl 1224.65080
Axelsson, Owe; Neytcheva, Maya
39
2006
Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems. Zbl 1274.65313
Bastian, Peter; Blatt, Markus; Scheichl, Robert
38
2012
The modulus-based matrix splitting algorithms for a class of weakly nonlinear complementarity problems. Zbl 1413.65253
Huang, Na; Ma, Changfeng
37
2016
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.
37
1998
On two-grid convergence estimates. Zbl 1164.65343
Falgout, Robert D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
37
2005
An algebraic multigrid method for finite element discretizations with edge elements. Zbl 1071.65170
Reitzinger, S.; Schöberl, J.
36
2002
On greedy randomized coordinate descent methods for solving large linear least-squares problems. Zbl 1449.65128
Bai, Zhong-Zhi; Wu, Wen-Ting
36
2019
A Power-Arnoldi algorithm for computing PageRank. Zbl 1199.65125
Wu, Gang; Wei, Yimin
36
2007
The inverse problem of bisymmetric matrices with a submatrix constraint. Zbl 1164.15322
Peng, Zhen-yun; Hu, Xi-yan; Zhang, Lei
36
2004
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.
36
2006
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
35
2018
Local Fourier analysis for multigrid with overlapping smoothers applied to systems of PDEs. Zbl 1265.65256
MacLachlan, Scott P.; Oosterlee, C. W.
35
2011
Modulus-based matrix splitting iteration methods for a class of implicit complementarity problems. Zbl 1413.65060
Hong, Jun-Tao; Li, Chen-Liang
34
2016
Efficient estimation of eigenvalue counts in an interval. Zbl 1413.65092
Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef
34
2016
On the convergence of shifted Laplace preconditioner combined with multilevel deflation. Zbl 1313.65293
Sheikh, A. H.; Lahaye, D.; Vuik, C.
34
2013
A finite volume element method for a non-linear elliptic problem. Zbl 1164.65494
Chatzipantelidis, P.; Ginting, V.; Lazarov, R. D.
34
2005
A survey of spectral factorization methods. Zbl 1053.47013
Sayed, A. H.; Kailath, T.
34
2001
Diagonally compensated reduction and related preconditioning methods. Zbl 0837.65023
Axelsson, O.; Kolotilina, L.
34
1994
Decoupling preconditioners in the implicit parallel accurate reservoir simulator (IPARS). Zbl 1071.76583
Lacroix, Sébastien; Vassilevski, Yuri V.; Wheeler, Mary F.
33
2001
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.
33
2018
Displacement decomposition – incomplete factorization preconditioning techniques for linear elasticity problems. Zbl 0837.65021
Blaheta, Radim
33
1994
A simpler GMRES. Zbl 0838.65030
Walker, Homer F.; Zhou, Lu
33
1994
Several variants of the Hermitian and skew-Hermitian splitting method for a class of complex symmetric linear systems. Zbl 1363.65055
Wu, Shi-Liang
32
2015
Robust quaternion matrix completion with applications to image inpainting. Zbl 1474.65126
Jia, Zhigang; Ng, Michael K.; Song, Guang-Jing
32
2019
Trace optimization and eigenproblems in dimension reduction methods. Zbl 1249.65075
Kokiopoulou, E.; Chen, Jie; Saad, Yousef
32
2011
On the convergence of general stationary iterative methods for range-Hermitian singular linear systems. Zbl 1240.65120
Zhang, Naimin; Wei, Yi-Min
32
2010
A note on the representation and definition of semiseparable matrices. Zbl 1164.15341
Vandebril, Raf; Van Barel, Marc; Mastronardi, Nicola
32
2005
Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. Zbl 1051.65050
Carpentieri, B.; Duff, I. S.; Giraud, L.
32
2000
Recursive Krylov-based multigrid cycles. Zbl 1212.65132
Notay, Y.; Vassilevski, P. S.
31
2008
New convergence results and preconditioning strategies for the conjugate gradient method. Zbl 0837.65027
Kaporin, I. E.
31
1994
Efficient approximation of random fields for numerical applications. Zbl 1349.65048
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus
30
2015
Fast Hankel tensor-vector product and its application to exponential data fitting. Zbl 1349.65070
Ding, Weiyang; Qi, Liqun; Wei, Yimin
30
2015
Indefinitely preconditioned conjugate gradient method for large sparse equality and inequality constrained quadratic problems. Zbl 1071.65512
Durazzi, C.; Ruggiero, V.
30
2003
A waveform relaxation algorithm with overlapping splitting for reaction diffusion equations. Zbl 0983.65107
Gander, Martin J.
30
1999
Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic. Zbl 0831.65042
Druskin, Vladimir; Knizhnerman, Leonid
30
1995
A probing method for computing the diagonal of a matrix inverse. Zbl 1274.65132
Tang, Jok M.; Saad, Yousef
30
2012
Local Fourier analysis of the complex shifted Laplacian preconditioner for Helmholtz problems. Zbl 1313.65320
Cools, Siegfried; Vanroose, Wim
29
2013
A robust incomplete factorization preconditioner for positive definite matrices. Zbl 1071.65528
Benzi, Michele; Tůma, Miroslav
29
2003
A fast algorithm for the spectral radii of weakly reducible nonnegative tensors. Zbl 1499.65132
Zhou, Guanglu; Wang, Gang; Qi, Liqun; Alqahtani, Mohammed
29
2018
Tight upper bounds for the convergence of the randomized extended Kaczmarz and Gauss-Seidel algorithms. Zbl 1513.65068
Du, Kui
29
2019
Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form. Zbl 1224.65099
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
29
2009
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
29
1994
Distance-two interpolation for parallel algebraic multigrid. Zbl 1212.65139
Sterck, Hans De; Falgout, Robert D.; Nolting, Joshua W.; Yang, Ulrike Meier
28
2008
A fully implicit parallel algorithm for simulating the nonlinear electrical activity of the heart. Zbl 1114.65112
Murillo, Maria; Cai, Xiao-Chuan.
28
2004
A spectral algorithm for envelope reduction of sparse matrices. Zbl 0833.65038
Barnard, Stephen T.; Pothen, Alex; Simon, Horst
28
1995
On SSOR-like preconditioners for non-Hermitian positive definite matrices. Zbl 1413.65040
Bai, Zhong-Zhi
27
2016
Splitting methods for tensor equations. Zbl 1463.65049
Li, Dong-Hui; Xie, Shuilian; Xu, Hong-Ru
27
2017
Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function. Zbl 1324.49026
Pearson, John W.; Stoll, Martin; Wathen, Andrew J.
27
2014
More on extremal ranks of the matrix expressions \(A-BX \pm X^{*}B^{*}\) with statistical applications. Zbl 1212.15029
Liu, Yonghui; Tian, Yongge
27
2008
A sequential subspace projection method for extreme Z-eigenvalues of supersymmetric tensors. Zbl 1363.65063
Hao, C. L.; Cui, C. F.; Dai, Y. H.
26
2015
Multigrid methods for the symmetric interior penalty method on graded meshes. Zbl 1224.65288
Brenner, S. C.; Cui, J.; Sung, L.-Y.
26
2009
An approximate BDDC preconditioner. Zbl 1199.65088
Dohrmann, C. R.
26
2007
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.
26
2005
A class of block alternating splitting implicit iteration methods for double saddle point linear systems. Zbl 07655829
Dou, Yan; Liang, Zhao-Zheng
2
2023
On finding strong approximate inverses for tensors. Zbl 07655833
Khosravi Dehdezi, Eisa; Karimi, Saeed
2
2023
Three adaptive hybrid derivative-free projection methods for constrained monotone nonlinear equations and their applications. Zbl 07675620
Liu, Pengjie; Wu, Xiaoyu; Shao, Hu; Zhang, Yan; Cao, Shuhan
2
2023
Tensor train completion: local recovery guarantees via Riemannian optimization. Zbl 07790638
Budzinskiy, Stanislav; Zamarashkin, Nikolai
2
2023
Efficient space-time adaptivity for parabolic evolution equations using wavelets in time and finite elements in space. Zbl 07655831
van Venetië, Raymond; Westerdiep, Jan
1
2023
Sine transform based preconditioning techniques for space fractional diffusion equations. Zbl 07729591
Qin, Hai-Hua; Pang, Hong-Kui; Sun, Hai-Wei
1
2023
Inexact inner-outer Golub-Kahan bidiagonalization method: a relaxation strategy. Zbl 07790610
Darrigrand, Vincent; Dumitrasc, Andrei; Kruse, Carola; Rüde, Ulrich
1
2023
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.
8
2022
Accelerated derivative-free method for nonlinear monotone equations with an application. Zbl 07511605
Ibrahim, Abdulkarim Hassan; Kumam, Poom; Abubakar, Auwal Bala; Adamu, Abubakar
8
2022
Computation of generalized inverses of tensors via \(t\)-product. Zbl 07511597
Behera, Ratikanta; Sahoo, Jajati Keshari; Mohapatra, Ram N.; Nashed, M. Zuhair
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.
3
2022
Greedy Motzkin-Kaczmarz methods for solving linear systems. Zbl 07584137
Zhang, Yanjun; Li, Hanyu
3
2022
Fast randomized tensor singular value thresholding for low-rank tensor optimization. Zbl 07655838
Che, Maolin; Wang, Xuezhong; Wei, Yimin; Zhao, Xile
3
2022
Robust tensor train component analysis. Zbl 07511584
Zhang, Xiongjun; Ng, Michael K.
2
2022
An extension of fast iterative shrinkage-thresholding algorithm to Riemannian optimization for sparse principal component analysis. Zbl 07511590
Huang, Wen; Wei, Ke
2
2022
Estimating and increasing the structural robustness of a network. Zbl 07511599
Noschese, Silvia; Reichel, Lothar
2
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
2
2022
Computing eigenvalues of quasi-rational Bernstein-Vandermonde matrices to high relative accuracy. Zbl 07511602
Yang, Zhao; Ma, Xiao-Xiao
2
2022
Mixed precision \(s\)-step Lanczos and conjugate gradient algorithms. Zbl 07511606
Carson, Erin; Gergelits, Tomáš; Yamazaki, Ichitaro
2
2022
Low-order preconditioning of the Stokes equations. Zbl 07511607
Voronin, Alexey; He, Yunhui; MacLachlan, Scott; Olson, Luke N.; Tuminaro, Raymond
2
2022
Multistage mixed precision iterative refinement. Zbl 07584142
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
Preconditioners for fractional diffusion equations based on the spectral symbol. Zbl 07584149
Barakitis, Nikos; Ekström, Sven-Erik; Vassalos, Paris
2
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.
1
2022
Symmetric tensor decomposition by alternating gradient descent. Zbl 07511587
Liu, Haixia
1
2022
Block low-rank single precision coarse grid solvers for extreme scale multigrid methods. Zbl 07511588
Buttari, Alfredo; Huber, Markus; Leleux, Philippe; Mary, Theo; Rüde, Ulrich; Wohlmuth, Barbara
1
2022
Gradient based iterative methods for solving symmetric tensor equations. Zbl 07511595
Li, Tao; Wang, Qing-Wen; Zhang, Xin-Fang
1
2022
Two-sided Rayleigh quotient iteration for periodic eigenvalue problems. Zbl 07511603
Chen, Xiao Shan; Xu, Hongguo
1
2022
Accurate and efficient computations with Wronskian matrices of Bernstein and related bases. Zbl 07511604
Mainar, Esmeralda; Peña, Juan M.; Rubio, Beatriz
1
2022
Toward efficient polynomial preconditioning for GMRES. Zbl 07584135
Loe, Jennifer A.; Morgan, Ronald B.
1
2022
Accelerating alternating least squares for tensor decomposition by pairwise perturbation. Zbl 07584139
Ma, Linjian; Solomonik, Edgar
1
2022
Anderson acceleration of the modulus-based matrix splitting algorithms for horizontal nonlinear complementarity systems. Zbl 07584146
Li, Zhizhi; Zhang, Huai
1
2022
Subspace method for multiparameter-eigenvalue problems based on tensor-train representations. Zbl 07584147
Ruymbeek, Koen; Meerbergen, Karl; Michiels, Wim
1
2022
Smoothed aggregation for difficult stretched mesh and coefficient variation problems. Zbl 07655836
Hu, Jonathan J.; Siefert, Christopher M.; Tuminaro, Raymond S.
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
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.
16
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
9
2021
A local Fourier analysis of additive Vanka relaxation for the Stokes equations. Zbl 07361104
Farrell, Patrick E.; He, Yunhui; MacLachlan, Scott P.
8
2021
Minimizing convex quadratics with variable precision conjugate gradients. Zbl 07332751
Gratton, Serge; Simon, Ehouarn; Titley-Peloquin, David; Toint, Philippe L.
6
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
6
2021
Low synchronization Gram-Schmidt and generalized minimal residual algorithms. Zbl 1474.65103
Świrydowicz, Katarzyna; Langou, Julien; Ananthan, Shreyas; Yang, Ulrike; Thomas, Stephen
5
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
5
2021
Randomized algorithms for generalized singular value decomposition with application to sensitivity analysis. Zbl 07396247
Saibaba, Arvind K.; Hart, Joseph; van Bloemen Waanders, Bart
5
2021
A derivative-free scaling memoryless Broyden-Fletcher-Goldfarb-Shanno method for solving a system of monotone nonlinear equations. Zbl 07478606
Ullah, Najib; Sabi’u, Jamilu; Shah, Abdullah
5
2021
Condition numbers for the truncated total least squares problem and their estimations. Zbl 07478602
Meng, Qing-Le; Diao, Huai-An; Bai, Zheng-Jian
4
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
4
2021
Semiconvergence analysis of the randomized row iterative method and its extended variants. Zbl 1474.65102
Wu, Nianci; Xiang, Hua
3
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
3
2021
Numerical subspace algorithms for solving the tensor equations involving Einstein product. Zbl 07332763
Huang, Baohua; Li, Wen
3
2021
Estimating posterior quantity of interest expectations in a multilevel scalable framework. Zbl 07361109
Fairbanks, Hillary R.; Osborn, Sarah; Vassilevski, Panayot S.
3
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.
3
2021
A hybrid gradient method for strictly convex quadratic programming. Zbl 07396243
Oviedo, Harry; Dalmau, Oscar; Herrera, Rafael
3
2021
All-at-once solution of linear wave equations. Zbl 07478618
Danieli, Federico; Wathen, Andrew J.
3
2021
Matrix-free preconditioning for high-order \(H\)(curl) discretizations. Zbl 07332761
Barker, Andrew T.; Kolev, Tzanio
2
2021
A gradient-type iterative method for impulse noise removal. Zbl 07396242
Liu, Jinkui; Cao, Haisong; Zhao, Yongxiang; Zhang, Liqiao
2
2021
Cell-by-cell approximate Schur complement technique in preconditioning of meshfree discretized piezoelectric equations. Zbl 07396245
Cao, Yang; Neytcheva, Maya
2
2021
On the block Lanczos and block Golub-Kahan reduction methods applied to discrete ill-posed problems. Zbl 07478608
Alqahtani, Abdulaziz; Gazzola, Silvia; Reichel, Lothar; Rodriguez, Giuseppe
2
2021
The Sherman-Morrison-Woodbury formula for generalized linear matrix equations and applications. Zbl 07478615
Hao, Yue; Simoncini, Valeria
2
2021
An efficient algorithm for solving the nonnegative tensor least squares problem. Zbl 07478617
Duan, Xue-Feng; Duan, Shan-Qi; Li, Juan; Li, Jiao-fen; Wang, Qing-Wen
2
2021
Multilevel space-time multiplicative Schwarz preconditioner for parabolic equations. Zbl 07478622
Li, Shishun; Shao, Xinping; Chen, Rongliang
2
2021
ODE-based double-preconditioning for solving linear systems \(A^{\alpha}x=b\) and \(f(A)x=b\). Zbl 07478625
Antoine, Xavier; Lorin, Emmanuel
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
Algebraic multigrid preconditioning of the Hessian in optimization constrained by a partial differential equation. Zbl 07332747
Barker, Andrew T.; Drăgănescu, Andrei
1
2021
On the numerical solution of ill-conditioned linear systems by regularization and iteration. Zbl 07332749
Spigler, Renato
1
2021
A randomized generalized low rank approximations of matrices algorithm for high dimensionality reduction and image compression. Zbl 1474.65122
Li, Ke; Wu, Gang
1
2021
Compress-and-restart block Krylov subspace methods for Sylvester matrix equations. Zbl 07332753
Kressner, Daniel; Lund, Kathryn; Massei, Stefano; Palitta, Davide
1
2021
A method for computing the Perron root for primitive matrices. Zbl 07332754
Dembélé, Doulaye
1
2021
Preconditioning Navier-Stokes control using multilevel sequentially semiseparable matrix computations. Zbl 07332762
Qiu, Yue; van Gijzen, Martin B.; van Wingerden, Jan-Willem; Verhaegen, Michel; Vuik, Cornelis
1
2021
A new nonstationary preconditioned iterative method for linear discrete ill-posed problems with application to image deblurring. Zbl 07332764
Buccini, Alessandro; Donatelli, Marco; Reichel, Lothar; Zhang, Wei-Hong
1
2021
Multilevel graph embedding. Zbl 07361105
Quiring, Benjamin; Vassilevski, Panayot S.
1
2021
ParaStieltjes: parallel computation of Gauss quadrature rules using a Parareal-like approach for the Stieltjes procedure. Zbl 07361108
Gander, Martin J.; Lunet, Thibaut
1
2021
Parallel performance of algebraic multigrid domain decomposition. Zbl 07361110
Mitchell, Wayne B.; Strzodka, Robert; Falgout, Robert D.
1
2021
A trust-region method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils. Zbl 07396246
Li, Jiao-fen; Wang, Kai; Liu, Yue-yuan; Duan, Xue-feng; Zhou, Xue-lin
1
2021
A fast spectral divide-and-conquer method for banded matrices. Zbl 07396248
Šušnjara, Ana; Kressner, Daniel
1
2021
Corrigendum 2 to: “A geometric view of Krylov subspace methods on singular systems”. Zbl 1488.65071
Hayami, Ken; Sugihara, Kota
1
2021
Summation pollution of principal component analysis and an improved algorithm for location sensitive data. Zbl 07478603
Li, Jingwei; Cai, Xiao-Chuan
1
2021
An efficient positive-definite block-preconditioned finite volume solver for two-sided fractional diffusion equations on composite mesh. Zbl 07478604
Dai, Pingfei; Jia, Jinhong; Wang, Hong; Wu, Qingbiao; Zheng, Xiangcheng
1
2021
An algorithm for two-variable rational interpolation suitable for matrix manipulations with the evaluation-interpolation method. Zbl 07478610
Hadjifotinou, Katerina G.; Karampetakis, Nicholas P.
1
2021
Incomplete inverse matrices. Zbl 07478611
Filelis-Papadopoulos, Christos K.
1
2021
Two-sided guaranteed bounds to individual eigenvalues of preconditioned finite element and finite difference problems. Zbl 07478613
Pultarová, Ivana; Ladecký, Martin
1
2021
High relative accuracy with matrices of \(q\)-integers. Zbl 07478614
Delgado, Jorge; Orera, Héctor; Peña, Juan M.
1
2021
Nonoverlapping block smoothers for the Stokes equations. Zbl 07478621
Claus, Lisa; Bolten, Matthias
1
2021
Factorization of completely positive matrices using iterative projected gradient steps. Zbl 07478623
Boţ, Radu Ioan; Nguyen, Dang-Khoa
1
2021
Characterization of the dissipative mappings and their application to perturbations of dissipative-Hamiltonian systems. Zbl 07478628
Baghel, Mohit Kumar; Gillis, Nicolas; Sharma, Punit
1
2021
Robust tensor completion using transformed tensor singular value decomposition. Zbl 07217207
Song, Guangjing; Ng, Michael K.; Zhang, Xiongjun
26
2020
Non-Hermitian perturbations of Hermitian matrix-sequences and applications to the spectral analysis of the numerical approximation of partial differential equations. Zbl 1474.65454
Barbarino, Giovanni; Serra-Capizzano, Stefano
16
2020
The tensor t-function: a definition for functions of third-order tensors. Zbl 1463.15052
Lund, Kathryn
12
2020
Interior-point methods and preconditioning for PDE-constrained optimization problems involving sparsity terms. Zbl 07177902
Pearson, John W.; Porcelli, Margherita; Stoll, Martin
11
2020
Modulus-based synchronous multisplitting methods for solving horizontal linear complementarity problems on parallel computers. Zbl 07286030
Mezzadri, Francesco
11
2020
Further results on the Drazin inverse of even-order tensors. Zbl 1474.15063
Behera, Ratikanta; Nandi, Ashish Kumar; Sahoo, Jajati Keshari
10
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.
8
2020
Extrapolation methods for fixed-point multilinear PageRank computations. Zbl 1488.65106
Cipolla, Stefano; Redivo-Zaglia, Michela; Tudisco, Francesco
8
2020
Approximation of a fractional power of an elliptic operator. Zbl 1474.65482
Vabishchevich, P. N.
8
2020
Preconditioned tensor splitting AOR iterative methods for \(\mathcal{H}\)-tensor equations. Zbl 1488.65109
Wang, Xuezhong; Che, Maolin; Wei, Yimin
7
2020
Two-level Fourier analysis of multigrid for higher-order finite-element discretizations of the Laplacian. Zbl 1463.65403
He, Yunhui; MacLachlan, Scott
7
2020
Nesterov acceleration of alternating least squares for canonical tensor decomposition: momentum step size selection and restart mechanisms. Zbl 1488.65108
Mitchell, Drew; Ye, Nan; De Sterck, Hans
6
2020
A locally and cubically convergent algorithm for computing \(\mathcal{Z}\)-eigenpairs of symmetric tensors. Zbl 1474.65091
Zhao, Ruijuan; Zheng, Bing; Liang, Maolin; Xu, Yangyang
5
2020
Approximate solutions to large nonsymmetric differential Riccati problems with applications to transport theory. Zbl 1463.65087
Angelova, V.; Hached, M.; Jbilou, K.
4
2020
Synchronous and asynchronous optimized Schwarz methods for one-way subdivision of bounded domains. Zbl 1524.65919
El Haddad, Mireille; Garay, José C.; Magoulès, Frédéric; Szyld, Daniel B.
3
2020
Computing the matrix geometric mean: Riemannian versus Euclidean conditioning, implementation techniques, and a Riemannian BFGS method. Zbl 1474.65131
Yuan, Xinru; Huang, Wen; Absil, P.-A.; Gallivan, Kyle A.
3
2020
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Cited by 8,230 Authors

115 Wei, Yimin
99 Ma, Changfeng
91 Huang, Ting-Zhu
76 Qi, Liqun
71 Reichel, Lothar
64 Benner, Peter
64 Zhang, Guofeng
60 Axelsson, Axel Owe Holger
54 Serra-Capizzano, Stefano
49 Li, Wen
49 Ng, Michael Kwok-Po
46 Simoncini, Valeria
45 Wu, Shiliang
40 Liang, Zhaozheng
39 Li, Chaoqian
37 Bai, Zhongzhi
37 Li, Cuixia
37 Vuik, Cornelis
36 Huang, Zhengge
35 Chen, Guoliang
35 Hajarian, Masoud
35 Khojasteh Salkuyeh, Davod
35 Li, Yaotang
34 Vassilevski, Panayot Spirov
34 Vong, Seakweng
33 Cui, Jingjing
33 Jia, Zhongxiao
32 Szyld, Daniel B.
32 Wang, Qingwen
32 Zheng, Bing
31 Hu, Xiaozhe
31 Saad, Yousef
31 Zheng, Hua
30 Cao, Yang
30 Donatelli, Marco
30 Gander, Martin Jakob
29 Gu, Xian-Ming
29 Peña, Juan Manuel
29 Yang, Aili
28 Gaspar, Francisco José
28 Jbilou, Khalide
28 Li, Zi-Cai
28 Wu, Yujiang
27 Benzi, Michele
27 Margenov, Svetozar D.
27 Neytcheva, Maya G.
27 Rodrigo, Carmen
27 Vandebril, Raf
27 Wang, Xiang
26 Chen, Haibin
26 Dostál, Zdeněk
26 Ferronato, Massimiliano
26 Van Barel, Marc
26 Wang, Yiju
26 Xu, Jinchao
25 Bergamaschi, Luca
25 Huang, Na
25 Lin, Wen-Wei
25 Stoll, Martin
25 Zhao, Xile
25 Zikatanov, Ludmil T.
24 Ke, Yifen
24 Klawonn, Axel
24 Kressner, Daniel
24 MacLachlan, Scott P.
24 Pavarino, Luca Franco
24 Sun, Haiwei
24 Yin, Junfeng
23 Carpentieri, Bruno
23 Chen, Fang
23 Kraus, Johannes K.
23 Zhao, Jianxing
22 Brenner, Susanne Cecelia
22 Dai, Hua
22 Mardal, Kent-Andre
22 Mehrmann, Volker
22 Wu, Gang
21 Blaheta, Radim
21 Harbrecht, Helmut
21 Huang, Hung-Tsai
21 Khoromskiĭ, Boris Nikolaevich
21 Notay, Yvan
21 Rheinbach, Oliver
20 Diao, Huaian
20 Gemignani, Luca
20 Janna, Carlo
20 Lu, Linzhang
20 Wu, Shulin
20 Zhou, Guanglu
19 Argyros, Ioannis Konstantinos
19 Bini, Dario Andrea
19 He, Jun
19 Kürschner, Patrick
19 Li, Hanyu
19 Oseledets, Ivan Valer’evich
19 Pearson, John W.
19 Scacchi, Simone
19 Tian, Yongge
19 Xia, Jianlin
19 Xu, Zhong
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