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Author ID: saad.yousef Recent zbMATH articles by "Saad, Yousef"
Published as: Saad, Yousef; Saad, Youcef; Saad, Y.
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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

Publications by Year

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
Saad, Youcef; Schultz, Martin H.
1986
Parallel iterative methods for sparse linear systems. Zbl 1002.65042
Saad, Y.
2001
Iterative methods for sparse linear systems. 2nd ed. Zbl 1031.65046
Saad, Yousef
927
2003
A flexible inner-outer preconditioned GMRES algorithm. Zbl 0780.65022
Saad, Youcef
373
1993
Iterative methods for sparse linear systems. Zbl 1031.65047
Saad, Yousef
329
1996
Numerical methods for large eigenvalue problems. Zbl 0991.65039
Saad, Youcef
239
1992
Numerical methods for large eigenvalue problems. Revised ed. Zbl 1242.65068
Saad, Yousef
225
2011
Hybrid Krylov methods for nonlinear systems of equations. Zbl 0708.65049
Brown, Peter N.; Saad, Youcef
192
1990
Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030
Saad, Y.
187
1992
ILUT: A dual threshold incomplete LU factorization. Zbl 0838.65026
Saad, Yousef
167
1994
Krylov subspace methods for solving large unsymmetric linear systems. Zbl 0474.65019
Saad, Y.
135
1981
Efficient solution of parabolic equations by Krylov approximation methods. Zbl 0757.65101
Gallopoulos, E.; Saad, Y.
123
1992
Variations on Arnoldi’s method for computing eigenelements of large unsymmetric matrices. Zbl 0456.65017
Saad, Y.
120
1980
Convergence theory of nonlinear Newton-Krylov algorithms. Zbl 0814.65048
Brown, Peter N.; Saad, Youcef
89
1994
Iterative solution of linear systems in the 20th century. Zbl 0965.65051
Saad, Yousef; van der Vorst, Henk A.
77
2000
Approximate inverse preconditioners via sparse-sparse iterations. Zbl 0922.65034
Chow, Edmond; Saad, Yousef
71
1998
On the rates of convergence of the Lanczos and the block-Lanczos methods. Zbl 0456.65016
Saad, Y.
70
1980
Two classes of multisecant methods for nonlinear acceleration. Zbl 1224.65134
Fang, Haw-ren; Saad, Yousef
61
2009
Experimental study of ILU preconditioners for indefinite matrices. Zbl 0891.65028
Chow, Edmond; Saad, Yousef
60
1997
Chebyshev acceleration techniques for solving nonsymmetric eigenvalue problems. Zbl 0539.65013
Saad, Youcef
59
1984
The Lanczos biorthogonalization algorithm and other oblique projection methods for solving large unsymmetric systems. Zbl 0483.65022
Saad, Y.
58
1982
Numerical methods for electronic structure calculations of materials. Zbl 1185.82004
Saad, Yousef; Chelikowsky, James R.; Shontz, Suzanne M.
56
2010
Deflated and augmented Krylov subspace techniques. Zbl 0889.65028
Chapman, A.; Saad, Y.
55
1997
Practical use of polynomial preconditionings for the conjugate gradient method. Zbl 0601.65019
Saad, Youcef
53
1985
A deflated version of the conjugate gradient algorithm. Zbl 0955.65021
Saad, Y.; Yeung, M.; Erhel, J.; Guyomarc’h, F.
52
2000
ILUM: A multi-elimination ILU preconditioner for general sparse matrices. Zbl 0858.65029
Saad, Y.
47
1996
Krylov subspace methods on supercomputers. Zbl 0693.65028
Saad, Youcef
46
1989
Conjugate gradient-like algorithms for solving nonsymmetric linear systems. Zbl 0566.65019
Saad, Youcef; Schultz, Martin H.
46
1985
On the Lanczos method for solving symmetric linear systems with several right-hand sides. Zbl 0615.65038
Saad, Youcef
44
1987
Dynamic thick restarting of the Davidson, and the implicitly restarted Arnoldi methods. Zbl 0924.65028
Stathopoulos, Andreas; Saad, Yousef; Wu, Kesheng
44
1998
Approximate inverse techniques for block-partitioned matrices. Zbl 0888.65035
Chow, Edmond; Saad, Yousef
41
1997
Arnoldi methods for large Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment. Zbl 0734.65037
Datta, Biswa Nath; Saad, Youcef
41
1991
ARMS: an algebraic recursive multilevel solver for general sparse linear systems. Zbl 1071.65001
Saad, Y.; Suchomel, B.
40
2002
Crout versions of ILU for general sparse matrices. Zbl 1042.65025
Li, Na; Saad, Yousef; Chow, Edmond
38
2003
Preconditioning techniques for nonsymmetric and indefinite linear systems. Zbl 0662.65028
Saad, Youcef
37
1988
Analysis of augmented Krylov subspace methods. Zbl 0871.65026
Saad, Yousef
37
1997
Self-consistent-field calculations using Chebyshev-filtered subspace iteration. Zbl 1105.65111
Zhou, Yunkai; Saad, Yousef; Tiago, Murilo L.; Chelikowsky, James R.
36
2006
BILUM: Block versions of multielimination and multilevel ILU preconditioner for general sparse linear systems. Zbl 0956.65026
Saad, Yousef; Zhang, Jun
32
1999
Efficient estimation of eigenvalue counts in an interval. Zbl 1413.65092
Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef
31
2016
Iterative solution of linear equations in ODE codes. Zbl 0541.65051
Gear, C. W.; Saad, Y.
31
1983
A parallel block cyclic reduction algorithm for the fast solution of elliptic equations. Zbl 0676.65098
Gallopoulos, E.; Saad, Y.
30
1989
Numerical methods in Markov chain modeling. Zbl 0764.65095
Philippe, Bernard; Saad, Youcef; Stewart, William J.
29
1992
Distributed Schur complement techniques for general sparse linear systems. Zbl 0955.65020
Saad, Yousef; Sosonkina, Maria
27
2000
An estimator for the diagonal of a matrix. Zbl 1123.65026
Bekas, C.; Kokiopoulou, E.; Saad, Y.
27
2007
A probing method for computing the diagonal of a matrix inverse. Zbl 1274.65132
Tang, Jok M.; Saad, Yousef
27
2012
BILUTM: A domain-based multilevel block ILUT preconditioner for general sparse matrices. Zbl 0942.65045
Saad, Yousef; Zhang, Jun
26
1999
Projection and deflation methods for partial pole assignment in linear state feedback. Zbl 0641.93031
Saad, Youcef
26
1988
Approximating spectral densities of large matrices. Zbl 1338.15026
Lin, Lin; Saad, Yousef; Yang, Chao
26
2016
Practical use of some Krylov subspace methods for solving indefinite and nonsymmetric linear systems. Zbl 0539.65012
Saad, Youcef
25
1984
Preconditioning Helmholtz linear systems. Zbl 1190.65048
Osei-Kuffuor, Daniel; Saad, Yousef
25
2010
A filtered Lanczos procedure for extreme and interior eigenvalue problems. Zbl 1253.65053
Fang, Haw-Ren; Saad, Yousef
25
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.
24
1986
Trace optimization and eigenproblems in dimension reduction methods. Zbl 1249.65075
Kokiopoulou, E.; Chen, Jie; Saad, Yousef
23
2011
Multilevel preconditioners constructed from inverse-based ILUs. Zbl 1104.65037
Bollhöfer, Matthias; Saad, Yousef
22
2006
An arbitrary Lagrangian-Eulerian finite element method for solving three-dimensional free surface flows. Zbl 0948.76043
Soulaimani, Azzeddine; Saad, Yousef
21
1998
Numerical solution of large nonsymmetric eigenvalue problems. Zbl 0798.65053
Saad, Youcef
21
1989
Least squares polynomials in the complex plane and their use for solving nonsymmetric linear systems. Zbl 0619.65022
Saad, Youcef
20
1987
Restarting techniques for the (Jacobi-)Davidson symmetric eigenvalue method. Zbl 0912.65027
Stathopoulos, Andreas; Saad, Yousef
20
1998
Shanks sequence transformations and Anderson acceleration. Zbl 1395.65001
Brezinski, Claude; Redivo-Zaglia, Michela; Saad, Yousef
18
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
18
2016
An algebraic multilevel preconditioner with low-rank corrections for sparse symmetric matrices. Zbl 1376.65036
Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef
18
2016
Preconditioning techniques for the solution of the Helmholtz equation by the finite element method. Zbl 1059.65105
Kechroud, Riyad; Soulaimani, Azzeddine; Saad, Yousef; Gowda, Shivaraju
18
2004
High-order ILU preconditioners for CFD problems. Zbl 0959.76077
Chapman, Andrew; Saad, Yousef; Wigton, Larry
18
2000
A Chebyshev-Davidson algorithm for large symmetric eigenproblems. Zbl 1151.65321
Zhou, Yunkai; Saad, Yousef
18
2007
pARMS: a parallel version of the algebraic recursive multilevel solver. Zbl 1071.65532
Li, Zhongze; Saad, Yousef; Sosonkina, Masha
17
2003
Fast estimation of \(\mathrm{tr}(f(A))\) via stochastic Lanczos quadrature. Zbl 1386.65125
Ubaru, Shashanka; Chen, Jie; Saad, Yousef
15
2017
Overlapping domain decomposition algorithms for general sparse matrices. Zbl 0851.65083
Cai, Xiao-Chuan; Saad, Yousef
15
1996
Solving sparse triangular linear systems on parallel computers. Zbl 0726.65026
Anderson, Edward; Saad, Youcef
15
1989
Complex shift and invert strategies for real matrices. Zbl 0623.65045
Parlett, Beresford N.; Saad, Youcef
14
1987
Robust preconditioning of large, sparse, symmetric eigenvalue problems. Zbl 0857.65040
Stathopoulos, Andreas; Saad, Yousef; Fischer, Charlotte F.
14
1995
On the tensor SVD and the optimal low rank orthogonal approximation of tensors. Zbl 1184.65043
Chen, Jie; Saad, Yousef
14
2009
On acceleration methods for coupled nonlinear elliptic systems. Zbl 0724.65095
Kerkhoven, T.; Saad, Y.
14
1992
Block Krylov-Schur method for large symmetric eigenvalue problems. Zbl 1153.65330
Zhou, Yunkai; Saad, Yousef
14
2008
The trace ratio optimization problem. Zbl 1251.65090
Ngo, T. T.; Bellalij, M.; Saad, Y.
14
2012
Inexact Newton preconditioning techniques for large symmetric eigenvalue problems. Zbl 0916.65035
Wu, Kesheng; Saad, Yousef; Stathopoulos, Andreas
13
1998
Schur complement-based domain decomposition preconditioners with low-rank corrections. Zbl 1399.65238
Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef
13
2016
A spectrum slicing method for the Kohn-Sham problem. Zbl 1264.82014
Schofield, Grady; Chelikowsky, James R.; Saad, Yousef
13
2012
Divide and conquer low-rank preconditioners for symmetric matrices. Zbl 1362.65036
Li, Ruipeng; Saad, Yousef
13
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
12
2014
Solution of large eigenvalue problems in electronic structure calculations. Zbl 0862.65059
Saad, Y.; Stathopoulos, A.; Chelikowsky, J.; Wu, K.; Öǧüt, S.
12
1996
MIQR: a multilevel incomplete QR preconditioner for large sparse least-squares problems. Zbl 1113.65036
Li, Na; Saad, Yousef
12
2006
Incremental incomplete LU factorizations with applications. Zbl 1240.65091
Calgaro, Caterina; Chehab, Jean-Paul; Saad, Yousef
12
2010
Low-rank correction methods for algebraic domain decomposition preconditioners. Zbl 1371.65029
Li, Ruipeng; Saad, Yousef
12
2017
On the relations between ILUs and factored approximate inverses. Zbl 1017.65019
Bollhöfer, Matthias; Saad, Yousef
11
2002
Computing partial spectra with least-squares rational filters. Zbl 1351.65026
Xi, Yuanzhe; Saad, Yousef
11
2016
Iterative solution of indefinite symmetric linear systems by methods using orthogonal polynomials over two disjoint intervals. Zbl 0547.65028
Saad, Youcef
11
1983
Enhanced multi-level block ILU preconditioning strategies for general sparse linear systems. Zbl 1010.65014
Saad, Yousef; Zhang, Jun
11
2001
Multilevel ILU with reorderings for diagonal dominance. Zbl 1091.65034
Saad, Yousef
11
2005
A greedy strategy for coarse-grid selection. Zbl 1154.65016
MacLachlan, S.; Saad, Yousef
11
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
11
2009
Electronic structure calculations for plane-wave codes without diagonalization. Zbl 1001.65038
Jay, Laurent O.; Kim, Hanchul; Saad, Yousef; Chelikowsky, James R.
10
1999
Domain decomposition and multi-level type techniques for general sparse linear systems. Zbl 0909.65020
Saad, Yousef; Sosonkina, Maria; Zhang, Jun
10
1998
Data communication in parallel architectures. Zbl 0681.68007
Saad, Youcef; Schultz, Martin H.
10
1989
ILUS: An incomplete LU preconditioner in sparse skyline format. Zbl 0896.76037
Chow, Edmond; Saad, Yousef
10
1997
Complexity of dense-linear-system solution on a multiprocessor ring. Zbl 0587.65022
Ipsen, Ilse C. F.; Saad, Youcef; Schultz, Martin H.
9
1986
Alternating direction methods on multiprocessors. Zbl 0625.65105
Johnsson, S. Lennart; Saad, Youcef; Schultz, Martin H.
9
1987
A parallel multistage ILU factorization based on a hierarchical graph decomposition. Zbl 1126.65028
Hénon, Pascal; Saad, Yousef
9
2006
The trace ratio optimization problem for dimensionality reduction. Zbl 1209.65063
Ngo, T. T.; Bellalij, M.; Saad, Y.
9
2010
Crout versions of ILU factorization with pivoting for sparse symmetric matrices. Zbl 1075.65045
Li, Na; Saad, Yousef
9
2005
Diagonal threshold techniques in robust multi-level ILU preconditioners for general sparse linear systems. Zbl 0982.65057
Saad, Yousef; Zhang, Jun
8
1999
A power Schur complement low-rank correction preconditioner for general sparse linear systems. Zbl 07340707
Zheng, Qingqing; Xi, Yuanzhe; Saad, Yousef
1
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.
7
2020
A rational approximation method for solving acoustic nonlinear eigenvalue problems. Zbl 1464.76086
El-Guide, Mohamed; Miȩdlar, Agnieszka; Saad, Yousef
3
2020
Iterative methods for linear systems of equations: a brief historical journey. Zbl 1477.65063
Saad, Yousef
1
2020
Multicolor low-rank preconditioner for general sparse linear systems. Zbl 1474.65070
Zheng, Qingqing; Xi, Yuanzhe; Saad, Yousef
1
2020
The eigenvalues slicing library (EVSL): algorithms, implementation, and software. Zbl 1420.65050
Li, Ruipeng; Xi, Yuanzhe; Erlandson, Lucas; Saad, Yousef
7
2019
Shanks sequence transformations and Anderson acceleration. Zbl 1395.65001
Brezinski, Claude; Redivo-Zaglia, Michela; Saad, Yousef
18
2018
Beyond automated multilevel substructuring: domain decomposition with rational filtering. Zbl 1394.65030
Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef
6
2018
A hierarchical low rank Schur complement preconditioner for indefinite linear systems. Zbl 1392.65027
Dillon, Geoffrey; Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef
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
Phase retrieval via reweighted amplitude flow. Zbl 1415.94269
Wang, Gang; Giannakis, Georgios B.; Saad, Yousef; Chen, Jie
5
2018
SMASH: structured matrix approximation by separation and hierarchy. Zbl 07031743
Cai, Difeng; Chow, Edmond; Erlandson, Lucas; Saad, Yousef; Xi, Yuanzhe
5
2018
Fast estimation of \(\mathrm{tr}(f(A))\) via stochastic Lanczos quadrature. Zbl 1386.65125
Ubaru, Shashanka; Chen, Jie; Saad, Yousef
15
2017
Low-rank correction methods for algebraic domain decomposition preconditioners. Zbl 1371.65029
Li, Ruipeng; Saad, Yousef
12
2017
A rational function preconditioner for indefinite sparse linear systems. Zbl 1368.65044
Xi, Yuanzhe; Saad, Yousef
7
2017
Low rank approximation and decomposition of large matrices using error correcting codes. Zbl 1374.94851
Ubaru, Shashanka; Mazumdar, Arya; Saad, Yousef
1
2017
Cucheb: a GPU implementation of the filtered Lanczos procedure. Zbl 1411.65005
Aurentz, Jared L.; Kalantzis, Vassilis; Saad, Yousef
1
2017
Efficient estimation of eigenvalue counts in an interval. Zbl 1413.65092
Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef
31
2016
Approximating spectral densities of large matrices. Zbl 1338.15026
Lin, Lin; Saad, Yousef; Yang, Chao
26
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
18
2016
An algebraic multilevel preconditioner with low-rank corrections for sparse symmetric matrices. Zbl 1376.65036
Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef
18
2016
Schur complement-based domain decomposition preconditioners with low-rank corrections. Zbl 1399.65238
Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef
13
2016
Computing partial spectra with least-squares rational filters. Zbl 1351.65026
Xi, Yuanzhe; Saad, Yousef
11
2016
Spectral Schur complement techniques for symmetric eigenvalue problems. Zbl 1352.65118
Kalantzis, Vassilis; Li, Ruipeng; Saad, Yousef
5
2016
Matrix reordering using multilevel graph coarsening for ILU preconditioning. Zbl 1315.65033
Osei-Kuffuor, Daniel; Li, Ruipeng; Saad, Yousef
5
2015
Spectral recycling strategies for the solution of nonlinear eigenproblems in thermoacoustics. Zbl 1374.65090
Salas, Pablo; Giraud, Luc; Saad, Yousef; Moreau, Stéphane
2
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
12
2014
Preconditioned Krylov subspace methods for sampling multivariate Gaussian distributions. Zbl 1296.60087
Chow, Edmond; Saad, Yousef
8
2014
Graph partitioning using matrix values for preconditioning symmetric positive definite systems. Zbl 1290.65025
Vecharynski, Eugene; Saad, Yousef; Sosonkina, Masha
4
2014
Divide and conquer low-rank preconditioners for symmetric matrices. Zbl 1362.65036
Li, Ruipeng; Saad, Yousef
13
2013
A probing method for computing the diagonal of a matrix inverse. Zbl 1274.65132
Tang, Jok M.; Saad, Yousef
27
2012
A filtered Lanczos procedure for extreme and interior eigenvalue problems. Zbl 1253.65053
Fang, Haw-Ren; Saad, Yousef
25
2012
The trace ratio optimization problem. Zbl 1251.65090
Ngo, T. T.; Bellalij, M.; Saad, Y.
14
2012
A spectrum slicing method for the Kohn-Sham problem. Zbl 1264.82014
Schofield, Grady; Chelikowsky, James R.; Saad, Yousef
13
2012
Modification and compensation strategies for threshold-based incomplete factorizations. Zbl 1241.65032
Maclachlan, S.; Osei-Kuffuor, D.; Saad, Yousef
6
2012
Numerical methods for large eigenvalue problems. Revised ed. Zbl 1242.65068
Saad, Yousef
225
2011
Trace optimization and eigenproblems in dimension reduction methods. Zbl 1249.65075
Kokiopoulou, E.; Chen, Jie; Saad, Yousef
23
2011
Computing \(f(A)b\) via least squares polynomial approximations. Zbl 1234.65027
Chen, Jie; Anitescu, Mihai; Saad, Yousef
7
2011
Domain-decomposition-type methods for computing the diagonal of a matrix inverse. Zbl 1232.65048
Tang, Jok M.; Saad, Yousef
4
2011
Rational approximation to the Fermi-Dirac function with applications in density functional theory. Zbl 1211.65026
Sidje, Roger B.; Saad, Yousef
3
2011
Numerical methods for electronic structure calculations of materials. Zbl 1185.82004
Saad, Yousef; Chelikowsky, James R.; Shontz, Suzanne M.
56
2010
Preconditioning Helmholtz linear systems. Zbl 1190.65048
Osei-Kuffuor, Daniel; Saad, Yousef
25
2010
Incremental incomplete LU factorizations with applications. Zbl 1240.65091
Calgaro, Caterina; Chehab, Jean-Paul; Saad, Yousef
12
2010
The trace ratio optimization problem for dimensionality reduction. Zbl 1209.65063
Ngo, T. T.; Bellalij, M.; Saad, Y.
9
2010
Further analysis of the Arnoldi process for eigenvalue problems. Zbl 1210.65085
Bellalij, M.; Saad, Y.; Sadok, H.
8
2010
Computing \(exp(-\tau A) b\) with Laguerre polynomials. Zbl 1205.65165
Sheehan, Bernard N.; Saad, Yousef; Sidje, Roger B.
4
2010
Sparse approximations of the Schur complement for parallel algebraic hybrid solvers in 3D. Zbl 1240.65093
Giraud, L.; Haidar, A.; Saad, Y.
3
2010
Two classes of multisecant methods for nonlinear acceleration. Zbl 1224.65134
Fang, Haw-ren; Saad, Yousef
61
2009
On the tensor SVD and the optimal low rank orthogonal approximation of tensors. Zbl 1184.65043
Chen, Jie; Saad, Yousef
14
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
11
2009
Enhanced graph-based dimensionality reduction with repulsion Laplaceans. Zbl 1176.68182
Kokiopoulou, E.; Saad, Y.
3
2009
Block Krylov-Schur method for large symmetric eigenvalue problems. Zbl 1153.65330
Zhou, Yunkai; Saad, Yousef
14
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
7
2008
Analysis of some Krylov subspace methods for normal matrices via approximation theory and convex optimization. Zbl 1171.65019
Bellalij, M.; Saad, Y.; Sadok, H.
2
2008
An estimator for the diagonal of a matrix. Zbl 1123.65026
Bekas, C.; Kokiopoulou, E.; Saad, Y.
27
2007
A Chebyshev-Davidson algorithm for large symmetric eigenproblems. Zbl 1151.65321
Zhou, Yunkai; Saad, Yousef
18
2007
A greedy strategy for coarse-grid selection. Zbl 1154.65016
MacLachlan, S.; Saad, Yousef
11
2007
On correction equations and domain decomposition for computing invariant subspaces. Zbl 1173.65320
Philippe, Bernard; Saad, Yousef
6
2007
Greedy coarsening strategies for nonsymmetric problems. Zbl 1149.65022
Maclachlan, Scott; Saad, Yousef
3
2007
Self-consistent-field calculations using Chebyshev-filtered subspace iteration. Zbl 1105.65111
Zhou, Yunkai; Saad, Yousef; Tiago, Murilo L.; Chelikowsky, James R.
36
2006
Multilevel preconditioners constructed from inverse-based ILUs. Zbl 1104.65037
Bollhöfer, Matthias; Saad, Yousef
22
2006
MIQR: a multilevel incomplete QR preconditioner for large sparse least-squares problems. Zbl 1113.65036
Li, Na; Saad, Yousef
12
2006
A parallel multistage ILU factorization based on a hierarchical graph decomposition. Zbl 1126.65028
Hénon, Pascal; Saad, Yousef
9
2006
SchurRAS: A restricted version of the overlapping Schur complement preconditioner. Zbl 1099.65034
Li, Zhongze; Saad, Yousef
4
2006
Filtered conjugate residual-type algorithms with applications. Zbl 1120.65046
Saad, Yousef
4
2006
Multilevel ILU with reorderings for diagonal dominance. Zbl 1091.65034
Saad, Yousef
11
2005
Crout versions of ILU factorization with pivoting for sparse symmetric matrices. Zbl 1075.65045
Li, Na; Saad, Yousef
9
2005
Computation of smallest eigenvalues using spectral Schur complements. Zbl 1091.65035
Bekas, Constantine; Saad, Yousef
8
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.
1
2005
Preconditioning techniques for the solution of the Helmholtz equation by the finite element method. Zbl 1059.65105
Kechroud, Riyad; Soulaimani, Azzeddine; Saad, Yousef; Gowda, Shivaraju
18
2004
Variations on algebraic recursive multilevel solvers (ARMS) for the solution of CFD problems. Zbl 1112.76054
Saad, Yousef; Soulaimani, Azzeddine; Touihri, Ridha
3
2004
Iterative methods for sparse linear systems. 2nd ed. Zbl 1031.65046
Saad, Yousef
927
2003
Crout versions of ILU for general sparse matrices. Zbl 1042.65025
Li, Na; Saad, Yousef; Chow, Edmond
38
2003
pARMS: a parallel version of the algebraic recursive multilevel solver. Zbl 1071.65532
Li, Zhongze; Saad, Yousef; Sosonkina, Masha
17
2003
Finding exact and approximate block structures for ILU preconditioning. Zbl 1034.65020
Saad, Yousef
6
2003
Block LU preconditioners for symmetric and nonsymmetric saddle point problems. Zbl 1042.65026
Little, Leigh; Saad, Yousef; Smoch, Laurent
4
2003
Block preconditioners for saddle point problems. Zbl 1030.65036
Little, Leigh; Saad, Yousef
2
2003
ARMS: an algebraic recursive multilevel solver for general sparse linear systems. Zbl 1071.65001
Saad, Y.; Suchomel, B.
40
2002
On the relations between ILUs and factored approximate inverses. Zbl 1017.65019
Bollhöfer, Matthias; Saad, Yousef
11
2002
A factored approximate inverse preconditioner with pivoting. Zbl 0999.65027
Bollhöfer, Matthias; Saad, Yousef
8
2002
Enhanced GMRES acceleration techniques for some CFD problems. Zbl 1007.76071
Souläimani, Azzeddine; Ben Salah, Nizar; Saad, Yousef
6
2002
pARMS: A package for solving general sparse linear systems on parallel computers. Zbl 1057.65523
Saad, Y.; Sosonkina, M.
2
2002
Parallel iterative methods for sparse linear systems. Zbl 1002.65042
Saad, Y.
2001
Enhanced multi-level block ILU preconditioning strategies for general sparse linear systems. Zbl 1010.65014
Saad, Yousef; Zhang, Jun
11
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
4
2001
Iterative solution of linear systems in the 20th century. Zbl 0965.65051
Saad, Yousef; van der Vorst, Henk A.
77
2000
A deflated version of the conjugate gradient algorithm. Zbl 0955.65021
Saad, Y.; Yeung, M.; Erhel, J.; Guyomarc’h, F.
52
2000
Distributed Schur complement techniques for general sparse linear systems. Zbl 0955.65020
Saad, Yousef; Sosonkina, Maria
27
2000
High-order ILU preconditioners for CFD problems. Zbl 0959.76077
Chapman, Andrew; Saad, Yousef; Wigton, Larry
18
2000
Further analysis of minimum residual iterations. Zbl 0983.65035
Saad, Yousef
4
2000
Preconditioning strategies for linear systems arising in tire design. Zbl 1051.65060
Sosonkina, Maria; Melson, John T.; Saad, Yousef; Watson, Layne T.
1
2000
BILUM: Block versions of multielimination and multilevel ILU preconditioner for general sparse linear systems. Zbl 0956.65026
Saad, Yousef; Zhang, Jun
32
1999
BILUTM: A domain-based multilevel block ILUT preconditioner for general sparse matrices. Zbl 0942.65045
Saad, Yousef; Zhang, Jun
26
1999
Electronic structure calculations for plane-wave codes without diagonalization. Zbl 1001.65038
Jay, Laurent O.; Kim, Hanchul; Saad, Yousef; Chelikowsky, James R.
10
1999
Diagonal threshold techniques in robust multi-level ILU preconditioners for general sparse linear systems. Zbl 0982.65057
Saad, Yousef; Zhang, Jun
8
1999
Preserving symmetry in preconditioned Krylov subspace methods. Zbl 0928.65042
Chan, T. F.; Chow, E.; Saad, Y.; Yeung, M. C.
2
1999
Modified Krylov acceleration for parallel environments. Zbl 0927.65049
Le Calvez, Caroline; Saad, Yousef
1
1999
Non-standard parallel solution strategies for distributed sparse linear systems. Zbl 0931.65024
Saad, Yousef; Sosonkina, Maria
1
1999
Approximate inverse preconditioners via sparse-sparse iterations. Zbl 0922.65034
Chow, Edmond; Saad, Yousef
71
1998
Dynamic thick restarting of the Davidson, and the implicitly restarted Arnoldi methods. Zbl 0924.65028
Stathopoulos, Andreas; Saad, Yousef; Wu, Kesheng
44
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
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20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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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
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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)
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10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Advances in Difference Equations
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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)
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4 Relativity and gravitational theory (83-XX)
3 Measure and integration (28-XX)
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2 Mathematics education (97-XX)
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1 Group theory and generalizations (20-XX)
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