Compute Distance To:
 Documents Indexed: 195 Publications since 1974, including 4 Books 4 Contributions as Editor Co-Authors: 124 Co-Authors with 149 Joint Publications 3,083 Co-Co-Authors
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### Co-Authors

 45 single-authored 15 Xi, Yuanzhe 10 Chelikowsky, James R. 10 Li, Ruipeng 8 Chen, Jie 8 Chow, Edmond G. W. 7 Schultz, Martin H. 6 Wu, Kesheng 6 Zhou, Yunkai 5 Kalantzis, Vassilis 5 Soulaimani, Azzeddine 5 Stathopoulos, Andreas 5 Ubaru, Shashanka 5 Zhang, Jun 4 Bellalij, Mohammed 4 Sosonkina, Maria 4 Tiago, Murilo L. 3 Bollhöfer, Matthias 3 Brown, Peter N. 3 Chan, Tony Fan-Cheong 3 Fang, Haw-ren 3 Gallopoulos, Efstratios 3 Li, Na 3 Li, Zhongze 3 Little, Leigh 3 MacLachlan, Scott P. 3 Osei-Kuffuor, Daniel 3 Polizzi, Eric 3 Sameh, Ahmed H. 3 Seghouane, Abd-Krim 3 Sosonkina, Masha 3 Vecharynski, Eugene 2 Chapman, Andrew M. 2 de Hoop, Maarten V. 2 Erlandson, Lucas 2 Giraud, Luc 2 Gowda, Shivaraju B. 2 Jain, Manish Kumar 2 Ngo, T. T. 2 Philippe, Bernard J. 2 Sadok, Hassane 2 Saylor, Paul E. 2 Sidje, Roger B. 2 Tang, Jok M. 2 Truhlar, Donald G. 2 Van der Vorst, Henk Albertus 2 Yang, Chao 2 Yeung, Man-Chung 2 Zheng, Qingqing 1 Alemany, M. M. G. 1 Anderson, Edward 1 Anitescu, Mihai 1 Arbenz, Peter 1 Aurentz, Jared Lee 1 Axelsson, Axel Owe Holger 1 Bekas, Constantine 1 Bekas, Costas 1 Ben Salah, Nizar 1 Boley, Daniel L. 1 Brezinski, Claude 1 Cai, Difeng 1 Cai, Xiao-Chuan 1 Calgaro, Caterina 1 Castillo, Paul E. 1 Chehab, Jean-Paul 1 Choi, Hyoung Gwon 1 Collins, Lee A. 1 D’Ambra, Pasqua 1 De La Grandmaison, Emmanuel Lorin 1 Dillon, Geoffrey 1 Duff, Iain S. 1 El-Guide, Mohamed 1 Elman, Howard C. 1 Erhel, Jocelyne 1 Froese Fischer, Charlotte 1 Gear, Charles William 1 Giannakis, Georgios B. 1 Grama, Ananth Y. 1 Guillaume, Philippe 1 Guyomarc’h, Frédéric 1 Haidar, Azzam 1 Hénon, Pascal 1 Ilić, Miloš 1 Ipsen, Ilse C. F. 1 Jay, Laurent-Olivier 1 Johnsson, S. Lennart 1 Kechroud, Riyad 1 Kerkhoven, Thomas 1 Kestyn, James 1 Keyes, David Elliot 1 Kim, Hanchul 1 Kronik, Leeor 1 Le Calvez, Caroline 1 Lin, Lin 1 Liu, Xiao 1 Ma, Sangback 1 Mazumdar, Arya 1 Melson, John T. 1 Międlar, Agnieszka 1 Moreau, Stéphane 1 Nath Datta, Biswa ...and 24 more Co-Authors
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### Serials

 34 SIAM Journal on Scientific Computing 23 Numerical Linear Algebra with Applications 17 SIAM Journal on Matrix Analysis and Applications 11 SIAM Journal on Scientific and Statistical Computing 7 Computer Physics Communications 6 Journal of Computational and Applied Mathematics 6 SIAM Journal on Numerical Analysis 6 Applied Numerical Mathematics 6 Linear Algebra and its Applications 6 ETNA. Electronic Transactions on Numerical Analysis 4 Mathematics of Computation 4 Parallel Computing 4 SIAM Review 3 Computer Methods in Applied Mechanics and Engineering 3 Neural Computation 3 Numerical Algorithms 2 International Journal for Numerical Methods in Fluids 2 Journal of Computational Physics 2 Numerische Mathematik 2 Journal of Scientific Computing 2 International Journal of High Speed Computing 1 Computers & Mathematics with Applications 1 IEEE Transactions on Information Theory 1 BIT 1 IEEE Transactions on Automatic Control 1 Mathematics and Computers in Simulation 1 Operations Research 1 IEEE Transactions on Signal Processing 1 Pattern Recognition 1 SIAM Journal on Optimization 1 Engineering Analysis with Boundary Elements 1 International Journal of Computational Fluid Dynamics 1 Journal of Machine Learning Research (JMLR) 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Classics in Applied Mathematics 1 Numerical Mathematics: Theory, Methods and Applications 1 S$$\vec{\text{e}}$$MA Journal
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### Fields

 184 Numerical analysis (65-XX) 23 Partial differential equations (35-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 14 Computer science (68-XX) 14 Fluid mechanics (76-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 General and overarching topics; collections (00-XX) 5 Operations research, mathematical programming (90-XX) 4 Probability theory and stochastic processes (60-XX) 4 Systems theory; control (93-XX) 3 Combinatorics (05-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 Special functions (33-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

172 Publications have been cited 9,670 times in 6,485 Documents Cited by Year
GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. Zbl 0599.65018
1986
Parallel iterative methods for sparse linear systems. Zbl 1002.65042
2001
Iterative methods for sparse linear systems. 2nd ed. Zbl 1031.65046
2003
A flexible inner-outer preconditioned GMRES algorithm. Zbl 0780.65022
1993
Iterative methods for sparse linear systems. Zbl 1031.65047
1996
Numerical methods for large eigenvalue problems. Zbl 0991.65039
1992
Numerical methods for large eigenvalue problems. Revised ed. Zbl 1242.65068
2011
Hybrid Krylov methods for nonlinear systems of equations. Zbl 0708.65049
1990
Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030
1992
ILUT: A dual threshold incomplete LU factorization. Zbl 0838.65026
1994
Krylov subspace methods for solving large unsymmetric linear systems. Zbl 0474.65019
1981
Efficient solution of parabolic equations by Krylov approximation methods. Zbl 0757.65101
1992
Variations on Arnoldi’s method for computing eigenelements of large unsymmetric matrices. Zbl 0456.65017
1980
Convergence theory of nonlinear Newton-Krylov algorithms. Zbl 0814.65048
1994
Iterative solution of linear systems in the 20th century. Zbl 0965.65051
Saad, Yousef; van der Vorst, Henk A.
2000
Approximate inverse preconditioners via sparse-sparse iterations. Zbl 0922.65034
1998
On the rates of convergence of the Lanczos and the block-Lanczos methods. Zbl 0456.65016
1980
Two classes of multisecant methods for nonlinear acceleration. Zbl 1224.65134
2009
Experimental study of ILU preconditioners for indefinite matrices. Zbl 0891.65028
1997
Chebyshev acceleration techniques for solving nonsymmetric eigenvalue problems. Zbl 0539.65013
1984
The Lanczos biorthogonalization algorithm and other oblique projection methods for solving large unsymmetric systems. Zbl 0483.65022
1982
Numerical methods for electronic structure calculations of materials. Zbl 1185.82004
Saad, Yousef; Chelikowsky, James R.; Shontz, Suzanne M.
2010
Deflated and augmented Krylov subspace techniques. Zbl 0889.65028
1997
Practical use of polynomial preconditionings for the conjugate gradient method. Zbl 0601.65019
1985
A deflated version of the conjugate gradient algorithm. Zbl 0955.65021
Saad, Y.; Yeung, M.; Erhel, J.; Guyomarc’h, F.
2000
ILUM: A multi-elimination ILU preconditioner for general sparse matrices. Zbl 0858.65029
1996
Krylov subspace methods on supercomputers. Zbl 0693.65028
1989
Conjugate gradient-like algorithms for solving nonsymmetric linear systems. Zbl 0566.65019
1985
On the Lanczos method for solving symmetric linear systems with several right-hand sides. Zbl 0615.65038
1987
Dynamic thick restarting of the Davidson, and the implicitly restarted Arnoldi methods. Zbl 0924.65028
Stathopoulos, Andreas; Saad, Yousef; Wu, Kesheng
1998
Approximate inverse techniques for block-partitioned matrices. Zbl 0888.65035
1997
Arnoldi methods for large Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment. Zbl 0734.65037
1991
ARMS: an algebraic recursive multilevel solver for general sparse linear systems. Zbl 1071.65001
2002
Crout versions of ILU for general sparse matrices. Zbl 1042.65025
Li, Na; Saad, Yousef; Chow, Edmond
2003
Preconditioning techniques for nonsymmetric and indefinite linear systems. Zbl 0662.65028
1988
Analysis of augmented Krylov subspace methods. Zbl 0871.65026
1997
Self-consistent-field calculations using Chebyshev-filtered subspace iteration. Zbl 1105.65111
Zhou, Yunkai; Saad, Yousef; Tiago, Murilo L.; Chelikowsky, James R.
2006
BILUM: Block versions of multielimination and multilevel ILU preconditioner for general sparse linear systems. Zbl 0956.65026
1999
Efficient estimation of eigenvalue counts in an interval. Zbl 1413.65092
Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef
2016
Iterative solution of linear equations in ODE codes. Zbl 0541.65051
1983
A parallel block cyclic reduction algorithm for the fast solution of elliptic equations. Zbl 0676.65098
1989
Numerical methods in Markov chain modeling. Zbl 0764.65095
Philippe, Bernard; Saad, Youcef; Stewart, William J.
1992
Distributed Schur complement techniques for general sparse linear systems. Zbl 0955.65020
2000
An estimator for the diagonal of a matrix. Zbl 1123.65026
Bekas, C.; Kokiopoulou, E.; Saad, Y.
2007
A probing method for computing the diagonal of a matrix inverse. Zbl 1274.65132
2012
BILUTM: A domain-based multilevel block ILUT preconditioner for general sparse matrices. Zbl 0942.65045
1999
Projection and deflation methods for partial pole assignment in linear state feedback. Zbl 0641.93031
1988
Approximating spectral densities of large matrices. Zbl 1338.15026
Lin, Lin; Saad, Yousef; Yang, Chao
2016
Practical use of some Krylov subspace methods for solving indefinite and nonsymmetric linear systems. Zbl 0539.65012
1984
Preconditioning Helmholtz linear systems. Zbl 1190.65048
2010
A filtered Lanczos procedure for extreme and interior eigenvalue problems. Zbl 1253.65053
2012
A hybrid Chebyshev Krylov subspace algorithm for solving nonsymmetric systems of linear equations. Zbl 0613.65031
Elman, Howard C.; Saad, Youcef; Saylor, Paul E.
1986
Trace optimization and eigenproblems in dimension reduction methods. Zbl 1249.65075
Kokiopoulou, E.; Chen, Jie; Saad, Yousef
2011
Multilevel preconditioners constructed from inverse-based ILUs. Zbl 1104.65037
2006
An arbitrary Lagrangian-Eulerian finite element method for solving three-dimensional free surface flows. Zbl 0948.76043
1998
Numerical solution of large nonsymmetric eigenvalue problems. Zbl 0798.65053
1989
Least squares polynomials in the complex plane and their use for solving nonsymmetric linear systems. Zbl 0619.65022
1987
Restarting techniques for the (Jacobi-)Davidson symmetric eigenvalue method. Zbl 0912.65027
1998
Shanks sequence transformations and Anderson acceleration. Zbl 1395.65001
Brezinski, Claude; Redivo-Zaglia, Michela; Saad, Yousef
2018
A thick-restart Lanczos algorithm with polynomial filtering for Hermitian eigenvalue problems. Zbl 1348.65071
Li, Ruipeng; Xi, Yuanzhe; Vecharynski, Eugene; Yang, Chao; Saad, Yousef
2016
An algebraic multilevel preconditioner with low-rank corrections for sparse symmetric matrices. Zbl 1376.65036
Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef
2016
Preconditioning techniques for the solution of the Helmholtz equation by the finite element method. Zbl 1059.65105
2004
High-order ILU preconditioners for CFD problems. Zbl 0959.76077
Chapman, Andrew; Saad, Yousef; Wigton, Larry
2000
A Chebyshev-Davidson algorithm for large symmetric eigenproblems. Zbl 1151.65321
2007
pARMS: a parallel version of the algebraic recursive multilevel solver. Zbl 1071.65532
Li, Zhongze; Saad, Yousef; Sosonkina, Masha
2003
Fast estimation of $$\mathrm{tr}(f(A))$$ via stochastic Lanczos quadrature. Zbl 1386.65125
Ubaru, Shashanka; Chen, Jie; Saad, Yousef
2017
Overlapping domain decomposition algorithms for general sparse matrices. Zbl 0851.65083
1996
Solving sparse triangular linear systems on parallel computers. Zbl 0726.65026
1989
Complex shift and invert strategies for real matrices. Zbl 0623.65045
1987
Robust preconditioning of large, sparse, symmetric eigenvalue problems. Zbl 0857.65040
Stathopoulos, Andreas; Saad, Yousef; Fischer, Charlotte F.
1995
On the tensor SVD and the optimal low rank orthogonal approximation of tensors. Zbl 1184.65043
2009
On acceleration methods for coupled nonlinear elliptic systems. Zbl 0724.65095
1992
Block Krylov-Schur method for large symmetric eigenvalue problems. Zbl 1153.65330
2008
The trace ratio optimization problem. Zbl 1251.65090
Ngo, T. T.; Bellalij, M.; Saad, Y.
2012
Inexact Newton preconditioning techniques for large symmetric eigenvalue problems. Zbl 0916.65035
Wu, Kesheng; Saad, Yousef; Stathopoulos, Andreas
1998
Schur complement-based domain decomposition preconditioners with low-rank corrections. Zbl 1399.65238
Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef
2016
A spectrum slicing method for the Kohn-Sham problem. Zbl 1264.82014
2012
Divide and conquer low-rank preconditioners for symmetric matrices. Zbl 1362.65036
2013
Chebyshev-filtered subspace iteration method free of sparse diagonalization for solving the Kohn-Sham equation. Zbl 1351.82098
Zhou, Yunkai; Chelikowsky, James R.; Saad, Yousef
2014
Solution of large eigenvalue problems in electronic structure calculations. Zbl 0862.65059
Saad, Y.; Stathopoulos, A.; Chelikowsky, J.; Wu, K.; Öǧüt, S.
1996
MIQR: a multilevel incomplete QR preconditioner for large sparse least-squares problems. Zbl 1113.65036
2006
Incremental incomplete LU factorizations with applications. Zbl 1240.65091
Calgaro, Caterina; Chehab, Jean-Paul; Saad, Yousef
2010
Low-rank correction methods for algebraic domain decomposition preconditioners. Zbl 1371.65029
2017
On the relations between ILUs and factored approximate inverses. Zbl 1017.65019
2002
Computing partial spectra with least-squares rational filters. Zbl 1351.65026
2016
Iterative solution of indefinite symmetric linear systems by methods using orthogonal polynomials over two disjoint intervals. Zbl 0547.65028
1983
Enhanced multi-level block ILU preconditioning strategies for general sparse linear systems. Zbl 1010.65014
2001
Multilevel ILU with reorderings for diagonal dominance. Zbl 1091.65034
2005
A greedy strategy for coarse-grid selection. Zbl 1154.65016
2007
Fast approximate $$k$$NN graph construction for high dimensional data via recursive Lanczos bisection. Zbl 1235.68137
Chen, Jie; Fang, Haw-Ren; Saad, Yousef
2009
Electronic structure calculations for plane-wave codes without diagonalization. Zbl 1001.65038
Jay, Laurent O.; Kim, Hanchul; Saad, Yousef; Chelikowsky, James R.
1999
Domain decomposition and multi-level type techniques for general sparse linear systems. Zbl 0909.65020
Saad, Yousef; Sosonkina, Maria; Zhang, Jun
1998
Data communication in parallel architectures. Zbl 0681.68007
1989
ILUS: An incomplete LU preconditioner in sparse skyline format. Zbl 0896.76037
1997
Complexity of dense-linear-system solution on a multiprocessor ring. Zbl 0587.65022
Ipsen, Ilse C. F.; Saad, Youcef; Schultz, Martin H.
1986
Alternating direction methods on multiprocessors. Zbl 0625.65105
Johnsson, S. Lennart; Saad, Youcef; Schultz, Martin H.
1987
A parallel multistage ILU factorization based on a hierarchical graph decomposition. Zbl 1126.65028
2006
The trace ratio optimization problem for dimensionality reduction. Zbl 1209.65063
Ngo, T. T.; Bellalij, M.; Saad, Y.
2010
Crout versions of ILU factorization with pivoting for sparse symmetric matrices. Zbl 1075.65045
2005
Diagonal threshold techniques in robust multi-level ILU preconditioners for general sparse linear systems. Zbl 0982.65057
1999
A power Schur complement low-rank correction preconditioner for general sparse linear systems. Zbl 07340707
Zheng, Qingqing; Xi, Yuanzhe; Saad, Yousef
2021
Solving the three-dimensional high-frequency Helmholtz equation using contour integration and polynomial preconditioning. Zbl 1434.65234
Liu, Xiao; Xi, Yuanzhe; Saad, Yousef; de Hoop, Maarten V.
2020
A rational approximation method for solving acoustic nonlinear eigenvalue problems. Zbl 1464.76086
El-Guide, Mohamed; Miȩdlar, Agnieszka; Saad, Yousef
2020
Iterative methods for linear systems of equations: a brief historical journey. Zbl 1477.65063
2020
Multicolor low-rank preconditioner for general sparse linear systems. Zbl 1474.65070
Zheng, Qingqing; Xi, Yuanzhe; Saad, Yousef
2020
The eigenvalues slicing library (EVSL): algorithms, implementation, and software. Zbl 1420.65050
Li, Ruipeng; Xi, Yuanzhe; Erlandson, Lucas; Saad, Yousef
2019
Shanks sequence transformations and Anderson acceleration. Zbl 1395.65001
Brezinski, Claude; Redivo-Zaglia, Michela; Saad, Yousef
2018
Beyond automated multilevel substructuring: domain decomposition with rational filtering. Zbl 1394.65030
Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef
2018
A hierarchical low rank Schur complement preconditioner for indefinite linear systems. Zbl 1392.65027
Dillon, Geoffrey; Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef
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
Phase retrieval via reweighted amplitude flow. Zbl 1415.94269
Wang, Gang; Giannakis, Georgios B.; Saad, Yousef; Chen, Jie
2018
SMASH: structured matrix approximation by separation and hierarchy. Zbl 07031743
Cai, Difeng; Chow, Edmond; Erlandson, Lucas; Saad, Yousef; Xi, Yuanzhe
2018
Fast estimation of $$\mathrm{tr}(f(A))$$ via stochastic Lanczos quadrature. Zbl 1386.65125
Ubaru, Shashanka; Chen, Jie; Saad, Yousef
2017
Low-rank correction methods for algebraic domain decomposition preconditioners. Zbl 1371.65029
2017
A rational function preconditioner for indefinite sparse linear systems. Zbl 1368.65044
2017
Low rank approximation and decomposition of large matrices using error correcting codes. Zbl 1374.94851
Ubaru, Shashanka; Mazumdar, Arya; Saad, Yousef
2017
Cucheb: a GPU implementation of the filtered Lanczos procedure. Zbl 1411.65005
Aurentz, Jared L.; Kalantzis, Vassilis; Saad, Yousef
2017
Efficient estimation of eigenvalue counts in an interval. Zbl 1413.65092
Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef
2016
Approximating spectral densities of large matrices. Zbl 1338.15026
Lin, Lin; Saad, Yousef; Yang, Chao
2016
A thick-restart Lanczos algorithm with polynomial filtering for Hermitian eigenvalue problems. Zbl 1348.65071
Li, Ruipeng; Xi, Yuanzhe; Vecharynski, Eugene; Yang, Chao; Saad, Yousef
2016
An algebraic multilevel preconditioner with low-rank corrections for sparse symmetric matrices. Zbl 1376.65036
Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef
2016
Schur complement-based domain decomposition preconditioners with low-rank corrections. Zbl 1399.65238
Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef
2016
Computing partial spectra with least-squares rational filters. Zbl 1351.65026
2016
Spectral Schur complement techniques for symmetric eigenvalue problems. Zbl 1352.65118
Kalantzis, Vassilis; Li, Ruipeng; Saad, Yousef
2016
Matrix reordering using multilevel graph coarsening for ILU preconditioning. Zbl 1315.65033
Osei-Kuffuor, Daniel; Li, Ruipeng; Saad, Yousef
2015
Spectral recycling strategies for the solution of nonlinear eigenproblems in thermoacoustics. Zbl 1374.65090
Salas, Pablo; Giraud, Luc; Saad, Yousef; Moreau, Stéphane
2015
Chebyshev-filtered subspace iteration method free of sparse diagonalization for solving the Kohn-Sham equation. Zbl 1351.82098
Zhou, Yunkai; Chelikowsky, James R.; Saad, Yousef
2014
Preconditioned Krylov subspace methods for sampling multivariate Gaussian distributions. Zbl 1296.60087
2014
Graph partitioning using matrix values for preconditioning symmetric positive definite systems. Zbl 1290.65025
Vecharynski, Eugene; Saad, Yousef; Sosonkina, Masha
2014
Divide and conquer low-rank preconditioners for symmetric matrices. Zbl 1362.65036
2013
A probing method for computing the diagonal of a matrix inverse. Zbl 1274.65132
2012
A filtered Lanczos procedure for extreme and interior eigenvalue problems. Zbl 1253.65053
2012
The trace ratio optimization problem. Zbl 1251.65090
Ngo, T. T.; Bellalij, M.; Saad, Y.
2012
A spectrum slicing method for the Kohn-Sham problem. Zbl 1264.82014
2012
Modification and compensation strategies for threshold-based incomplete factorizations. Zbl 1241.65032
Maclachlan, S.; Osei-Kuffuor, D.; Saad, Yousef
2012
Numerical methods for large eigenvalue problems. Revised ed. Zbl 1242.65068
2011
Trace optimization and eigenproblems in dimension reduction methods. Zbl 1249.65075
Kokiopoulou, E.; Chen, Jie; Saad, Yousef
2011
Computing $$f(A)b$$ via least squares polynomial approximations. Zbl 1234.65027
Chen, Jie; Anitescu, Mihai; Saad, Yousef
2011
Domain-decomposition-type methods for computing the diagonal of a matrix inverse. Zbl 1232.65048
2011
Rational approximation to the Fermi-Dirac function with applications in density functional theory. Zbl 1211.65026
2011
Numerical methods for electronic structure calculations of materials. Zbl 1185.82004
Saad, Yousef; Chelikowsky, James R.; Shontz, Suzanne M.
2010
Preconditioning Helmholtz linear systems. Zbl 1190.65048
2010
Incremental incomplete LU factorizations with applications. Zbl 1240.65091
Calgaro, Caterina; Chehab, Jean-Paul; Saad, Yousef
2010
The trace ratio optimization problem for dimensionality reduction. Zbl 1209.65063
Ngo, T. T.; Bellalij, M.; Saad, Y.
2010
Further analysis of the Arnoldi process for eigenvalue problems. Zbl 1210.65085
2010
Computing $$exp(-\tau A) b$$ with Laguerre polynomials. Zbl 1205.65165
Sheehan, Bernard N.; Saad, Yousef; Sidje, Roger B.
2010
Sparse approximations of the Schur complement for parallel algebraic hybrid solvers in 3D. Zbl 1240.65093
Giraud, L.; Haidar, A.; Saad, Y.
2010
Two classes of multisecant methods for nonlinear acceleration. Zbl 1224.65134
2009
On the tensor SVD and the optimal low rank orthogonal approximation of tensors. Zbl 1184.65043
2009
Fast approximate $$k$$NN graph construction for high dimensional data via recursive Lanczos bisection. Zbl 1235.68137
Chen, Jie; Fang, Haw-Ren; Saad, Yousef
2009
Enhanced graph-based dimensionality reduction with repulsion Laplaceans. Zbl 1176.68182
2009
Block Krylov-Schur method for large symmetric eigenvalue problems. Zbl 1153.65330
2008
Computation of large invariant subspaces using polynomial filtered Lanczos iterations with applications in density functional theory. Zbl 1159.65319
Bekas, C.; Kokiopoulou, E.; Saad, Yousef
2008
Analysis of some Krylov subspace methods for normal matrices via approximation theory and convex optimization. Zbl 1171.65019
2008
An estimator for the diagonal of a matrix. Zbl 1123.65026
Bekas, C.; Kokiopoulou, E.; Saad, Y.
2007
A Chebyshev-Davidson algorithm for large symmetric eigenproblems. Zbl 1151.65321
2007
A greedy strategy for coarse-grid selection. Zbl 1154.65016
2007
On correction equations and domain decomposition for computing invariant subspaces. Zbl 1173.65320
2007
Greedy coarsening strategies for nonsymmetric problems. Zbl 1149.65022
2007
Self-consistent-field calculations using Chebyshev-filtered subspace iteration. Zbl 1105.65111
Zhou, Yunkai; Saad, Yousef; Tiago, Murilo L.; Chelikowsky, James R.
2006
Multilevel preconditioners constructed from inverse-based ILUs. Zbl 1104.65037
2006
MIQR: a multilevel incomplete QR preconditioner for large sparse least-squares problems. Zbl 1113.65036
2006
A parallel multistage ILU factorization based on a hierarchical graph decomposition. Zbl 1126.65028
2006
SchurRAS: A restricted version of the overlapping Schur complement preconditioner. Zbl 1099.65034
2006
Filtered conjugate residual-type algorithms with applications. Zbl 1120.65046
2006
Multilevel ILU with reorderings for diagonal dominance. Zbl 1091.65034
2005
Crout versions of ILU factorization with pivoting for sparse symmetric matrices. Zbl 1075.65045
2005
Computation of smallest eigenvalues using spectral Schur complements. Zbl 1091.65035
2005
Efficient computation of the coupling matrix in time-dependent density functional theory. Zbl 1196.65188
De La Grandmaison, Emmanuel Lorin; Gowda, Shivaraju B.; Saad, Yousef; Tiago, Murilo L.; Chelikowsky, James R.
2005
Preconditioning techniques for the solution of the Helmholtz equation by the finite element method. Zbl 1059.65105
2004
Variations on algebraic recursive multilevel solvers (ARMS) for the solution of CFD problems. Zbl 1112.76054
Saad, Yousef; Soulaimani, Azzeddine; Touihri, Ridha
2004
Iterative methods for sparse linear systems. 2nd ed. Zbl 1031.65046
2003
Crout versions of ILU for general sparse matrices. Zbl 1042.65025
Li, Na; Saad, Yousef; Chow, Edmond
2003
pARMS: a parallel version of the algebraic recursive multilevel solver. Zbl 1071.65532
Li, Zhongze; Saad, Yousef; Sosonkina, Masha
2003
Finding exact and approximate block structures for ILU preconditioning. Zbl 1034.65020
2003
Block LU preconditioners for symmetric and nonsymmetric saddle point problems. Zbl 1042.65026
Little, Leigh; Saad, Yousef; Smoch, Laurent
2003
Block preconditioners for saddle point problems. Zbl 1030.65036
2003
ARMS: an algebraic recursive multilevel solver for general sparse linear systems. Zbl 1071.65001
2002
On the relations between ILUs and factored approximate inverses. Zbl 1017.65019
2002
A factored approximate inverse preconditioner with pivoting. Zbl 0999.65027
2002
Enhanced GMRES acceleration techniques for some CFD problems. Zbl 1007.76071
Souläimani, Azzeddine; Ben Salah, Nizar; Saad, Yousef
2002
pARMS: A package for solving general sparse linear systems on parallel computers. Zbl 1057.65523
2002
Parallel iterative methods for sparse linear systems. Zbl 1002.65042
2001
Enhanced multi-level block ILU preconditioning strategies for general sparse linear systems. Zbl 1010.65014
2001
An edge-based stabilized finite element method for solving compressible flows: formulation and parallel implementation. Zbl 1116.76391
Soulaimani, Azzeddine; Saad, Yousef; Rebaine, Ali
2001
Iterative solution of linear systems in the 20th century. Zbl 0965.65051
Saad, Yousef; van der Vorst, Henk A.
2000
A deflated version of the conjugate gradient algorithm. Zbl 0955.65021
Saad, Y.; Yeung, M.; Erhel, J.; Guyomarc&rsquo;h, F.
2000
Distributed Schur complement techniques for general sparse linear systems. Zbl 0955.65020
2000
High-order ILU preconditioners for CFD problems. Zbl 0959.76077
Chapman, Andrew; Saad, Yousef; Wigton, Larry
2000
Further analysis of minimum residual iterations. Zbl 0983.65035
2000
Preconditioning strategies for linear systems arising in tire design. Zbl 1051.65060
Sosonkina, Maria; Melson, John T.; Saad, Yousef; Watson, Layne T.
2000
BILUM: Block versions of multielimination and multilevel ILU preconditioner for general sparse linear systems. Zbl 0956.65026
1999
BILUTM: A domain-based multilevel block ILUT preconditioner for general sparse matrices. Zbl 0942.65045
1999
Electronic structure calculations for plane-wave codes without diagonalization. Zbl 1001.65038
Jay, Laurent O.; Kim, Hanchul; Saad, Yousef; Chelikowsky, James R.
1999
Diagonal threshold techniques in robust multi-level ILU preconditioners for general sparse linear systems. Zbl 0982.65057
1999
Preserving symmetry in preconditioned Krylov subspace methods. Zbl 0928.65042
Chan, T. F.; Chow, E.; Saad, Y.; Yeung, M. C.
1999
Modified Krylov acceleration for parallel environments. Zbl 0927.65049
1999
Non-standard parallel solution strategies for distributed sparse linear systems. Zbl 0931.65024
1999
Approximate inverse preconditioners via sparse-sparse iterations. Zbl 0922.65034
1998
Dynamic thick restarting of the Davidson, and the implicitly restarted Arnoldi methods. Zbl 0924.65028
Stathopoulos, Andreas; Saad, Yousef; Wu, Kesheng
1998
...and 72 more Documents
all top 5

### Cited by 8,536 Authors

 70 Reichel, Lothar 70 Tezduyar, Tayfun E. 64 Saad, Yousef 62 Huang, Ting-Zhu 44 Axelsson, Axel Owe Holger 40 Khojasteh Salkuyeh, Davod 39 Vuik, Cornelis 36 Cai, Xiao-Chuan 36 Zhang, Guofeng 36 Zhang, Jun 34 Simoncini, Valeria 33 Jia, Zhongxiao 33 Takizawa, Kenji 33 Toutounian, Faezeh 32 Benzi, Michele 32 Jbilou, Khalide 31 Bai, Zhongzhi 30 Gu, Xian-Ming 29 Antoine, Xavier 29 Bazilevs, Yuri 29 Knoll, Dana A. 27 Cao, Yang 26 Hughes, Thomas J. R. 25 Liang, Zhaozheng 25 Sadok, Hassane 24 Ferronato, Massimiliano 24 Wathen, Andrew John 22 Carpentieri, Bruno 22 Mohanty, Ranjan Kumar 21 Niu, Qiang 20 Elman, Howard C. 20 Ma, Changfeng 20 Wei, Yimin 20 Wu, Gang 20 Wu, Shiliang 19 Jing, Yanfei 19 Li, Rencang 19 Stoll, Martin 19 Szyld, Daniel B. 19 Van der Vorst, Henk Albertus 18 Chacón, Luis 18 Helsing, Johan 18 Keyes, David Elliot 18 Pini, Giorgio 17 Beik, Fatemeh Panjeh Ali 17 Benner, Peter 17 Calvetti, Daniela 17 Grigori, Laura 17 Nataf, Frédéric 17 Novati, Paolo 17 Serra-Capizzano, Stefano 17 Shadid, John N. 17 Wu, Yujiang 16 Gravvanis, George A. 16 Gu, Tongxiang 16 Hwang, Fengnan 16 Il’in, Valeriĭ Pavlovich 16 Janna, Carlo 16 Mittal, Sanjay 16 Quarteroni, Alfio M. 16 Sleijpen, Gerard L. G. 16 Van Gijzen, Martin Bastiaan 16 Wen, Chun 16 Xi, Yuanzhe 15 Brezinski, Claude 15 Chien, Cheng-Sheng 15 Hayami, Ken 15 Li, Cuixia 15 Li, Liang 15 Lu, Linzhang 15 Sadkane, Miloud 15 Sun, Haiwei 15 Zhang, Shao-Liang 14 Bergamaschi, Luca 14 Cao, Zhihao 14 Darve, Eric 14 Gambolati, Giuseppe 14 Geuzaine, Christophe A. 14 Gu, Chuanqing 14 Meurant, Gérard A. 14 Min, Chohong 14 Neytcheva, Maya G. 14 Raydan, Marcos 14 Sogabe, Tomohiro 14 Yang, Haijian 14 Ying, Lexing 14 Zhang, Lei-Hong 13 Behr, Marek A. 13 Castelletto, Nicola 13 Dumbser, Michael 13 Gazzola, Silvia 13 Giraud, Luc 13 Imakura, Akira 13 John, Volker 13 Liu, Xingping 13 Magoulès, Frédéric 13 Miao, Cun-Qiang 13 Najafi, H. Saberi 13 Soulaimani, Azzeddine 13 Tchelepi, Hamdi A. ...and 8,436 more Authors
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### Cited in 434 Serials

 726 Journal of Computational Physics 457 Journal of Computational and Applied Mathematics 361 Computer Methods in Applied Mechanics and Engineering 266 Computers & Mathematics with Applications 254 Applied Mathematics and Computation 246 SIAM Journal on Scientific Computing 208 Linear Algebra and its Applications 204 Applied Numerical Mathematics 191 Numerical Algorithms 172 Numerical Linear Algebra with Applications 167 Computers and Fluids 133 Journal of Scientific Computing 127 BIT 111 International Journal for Numerical Methods in Engineering 110 Engineering Analysis with Boundary Elements 105 SIAM Journal on Matrix Analysis and Applications 98 International Journal of Computer Mathematics 90 Computational Mechanics 70 International Journal for Numerical Methods in Fluids 67 Numerische Mathematik 62 Journal of Fluid Mechanics 58 Computer Physics Communications 54 Computational and Applied Mathematics 47 Mathematics of Computation 45 Applied Mathematics Letters 45 Advances in Computational Mathematics 40 Mathematics and Computers in Simulation 37 Computational Optimization and Applications 36 Japan Journal of Industrial and Applied Mathematics 36 ETNA. Electronic Transactions on Numerical Analysis 35 Mathematical Problems in Engineering 35 Computational Geosciences 34 International Journal of Computational Fluid Dynamics 33 Communications in Numerical Methods in Engineering 32 Applied Mathematical Modelling 30 Archives of Computational Methods in Engineering 27 Calcolo 26 SIAM Journal on Numerical Analysis 25 Journal of Applied Mathematics and Computing 25 Communications in Computational Physics 24 Optimization Methods & Software 22 Mathematical and Computer Modelling 21 East Asian Journal on Applied Mathematics 20 Computing 20 Physics of Fluids 20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 19 Journal of Optimization Theory and Applications 18 Computational Mathematics and Mathematical Physics 17 Numerical Functional Analysis and Optimization 17 COMPEL 17 Multiscale Modeling & Simulation 15 SIAM Review 15 SIAM Journal on Optimization 15 Journal of Mathematical Sciences (New York) 15 Journal of Numerical Mathematics 15 International Journal of Computational Methods 14 Numerical Methods for Partial Differential Equations 14 Computing and Visualization in Science 14 Journal of Applied Mathematics 14 Journal of Computational Acoustics 14 SIAM Journal on Imaging Sciences 14 Science China. Mathematics 13 Advances in Applied Mathematics and Mechanics 12 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 12 Abstract and Applied Analysis 12 Computational Methods in Applied Mathematics 11 Inverse Problems 11 Automatica 11 Physica D 11 Mathematical Programming. Series A. Series B 11 Journal of Machine Learning Research (JMLR) 10 Journal of Engineering Mathematics 10 International Journal of Numerical Methods for Heat & Fluid Flow 10 Combustion Theory and Modelling 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Advances in Difference Equations 10 International Journal for Numerical Methods in Biomedical Engineering 9 Discrete Applied Mathematics 9 Linear and Multilinear Algebra 9 Applied Mathematics and Mechanics. (English Edition) 9 Russian Journal of Numerical Analysis and Mathematical Modelling 9 Parallel Algorithms and Applications 9 Statistics and Computing 9 Numerical Algebra, Control and Optimization 8 Bulletin of Mathematical Biology 8 Acta Numerica 8 Optimization Letters 8 SIAM/ASA Journal on Uncertainty Quantification 7 International Journal for Numerical and Analytical Methods in Geomechanics 7 International Journal of Solids and Structures 7 ACM Transactions on Mathematical Software 7 Systems & Control Letters 7 Parallel Computing 7 Annals of Operations Research 7 European Journal of Operational Research 7 Engineering Computations 7 Matematicheskoe Modelirovanie 7 AIMS Mathematics 7 Results in Applied Mathematics 6 Communications on Pure and Applied Mathematics ...and 334 more Serials
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### Cited in 53 Fields

 5,011 Numerical analysis (65-XX) 1,552 Fluid mechanics (76-XX) 1,116 Partial differential equations (35-XX) 601 Mechanics of deformable solids (74-XX) 581 Linear and multilinear algebra; matrix theory (15-XX) 301 Operations research, mathematical programming (90-XX) 247 Optics, electromagnetic theory (78-XX) 238 Computer science (68-XX) 200 Biology and other natural sciences (92-XX) 159 Calculus of variations and optimal control; optimization (49-XX) 156 Statistical mechanics, structure of matter (82-XX) 146 Ordinary differential equations (34-XX) 137 Systems theory; control (93-XX) 129 Geophysics (86-XX) 116 Classical thermodynamics, heat transfer (80-XX) 106 Statistics (62-XX) 100 Probability theory and stochastic processes (60-XX) 95 Quantum theory (81-XX) 92 Information and communication theory, circuits (94-XX) 82 Integral equations (45-XX) 75 Operator theory (47-XX) 62 Combinatorics (05-XX) 52 Dynamical systems and ergodic theory (37-XX) 47 Approximations and expansions (41-XX) 44 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 35 Mechanics of particles and systems (70-XX) 25 Real functions (26-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 17 Functions of a complex variable (30-XX) 17 Astronomy and astrophysics (85-XX) 16 Potential theory (31-XX) 11 Special functions (33-XX) 11 Functional analysis (46-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 General and overarching topics; collections (00-XX) 8 Integral transforms, operational calculus (44-XX) 6 History and biography (01-XX) 5 Differential geometry (53-XX) 4 Difference and functional equations (39-XX) 4 Sequences, series, summability (40-XX) 4 Convex and discrete geometry (52-XX) 4 Relativity and gravitational theory (83-XX) 3 Measure and integration (28-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Mathematics education (97-XX) 1 Field theory and polynomials (12-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX)

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