×
Author ID: saad.yousef Recent zbMATH articles by "Saad, Yousef"
Published as: Saad, Yousef; Saad, Youcef; Saad, Y.
External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr
all top 5

Co-Authors

46 single-authored
19 Xi, Yuanzhe
11 Li, Ruipeng
10 Chelikowsky, James R.
8 Chow, Edmond
7 Chen, Jie
7 Schultz, Martin H.
7 Ubaru, Shashanka
6 Kalantzis, Vassilis
6 Wu, Kesheng
6 Zhou, Yunkai
5 Soulaimani, Azzeddine
5 Stathopoulos, Andreas
5 Zhang, Jun
4 Bellalij, Mohammed
4 Seghouane, Abd-Krim
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 He, Huan
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 Sosonkina, Masha
3 Vecharynski, Eugene
3 Zhao, Shifan
2 Brezinski, Claude
2 Chapman, Andrew M.
2 de Hoop, Maarten V.
2 Dillon, Geoffrey
2 El-Guide, Mohamed
2 Erlandson, Lucas
2 Giannakis, Georgios B.
2 Giraud, Luc
2 Gowda, Shivaraju B.
2 Ho, Joyce C
2 Jain, Manish Kumar
2 Międlar, Agnieszka
2 Ngo, T. T.
2 Philippe, Bernard J.
2 Redivo-Zaglia, Michela
2 Sadok, Hassane
2 Saylor, Paul E.
2 Sidje, Roger B.
2 Tang, Jok M.
2 Tang, Ziyuan
2 Truhlar, Donald G.
2 Van der Vorst, Henk Albertus
2 Wang, Gang
2 Yang, Chao
2 Yeung, Man-Chung
2 Zheng, Qingqing
1 Alemany, M. M. G.
1 Alimisis, Foivos
1 Anderson, Edward
1 Anitescu, Mihai
1 Arbenz, Peter
1 Aurentz, Jared Lee
1 Axelsson, Axel Owe Holger
1 Beik, Fatemeh Panjeh Ali
1 Bekas, Constantine
1 Bekas, Costas
1 Ben Salah, Nizar
1 Boley, Daniel L.
1 Cai, Difeng
1 Cai, Xiao-Chuan
1 Calgaro, Caterina
1 Castillo, Paul E.
1 Chehab, Jean-Paul
1 Chen, Jie
1 Choi, Hyoung Gwon
1 Cipolla, Stefano
1 Collins, Lee A.
1 D’Ambra, Pasqua
1 De La Grandmaison, Emmanuel Lorin
1 Duff, Iain S.
1 Elman, Howard C.
1 Erhel, Jocelyne
1 Fan, Li
1 Froese Fischer, Charlotte
1 Gear, Charles William
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
...and 36 more Co-Authors
all top 5

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 Numerical Algorithms
4 SIAM Review
3 Computer Methods in Applied Mechanics and Engineering
3 Neural Computation
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 IMA Journal of Numerical Analysis
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

Publications by Year

Citations contained in zbMATH Open

181 Publications have been cited 11,022 times in 7,426 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
2003
A flexible inner-outer preconditioned GMRES algorithm. Zbl 0780.65022
Saad, Youcef
433
1993
Iterative methods for sparse linear systems. Zbl 1031.65047
Saad, Yousef
346
1996
Numerical methods for large eigenvalue problems. Revised ed. Zbl 1242.65068
Saad, Yousef
298
2011
Numerical methods for large eigenvalue problems. Zbl 0991.65039
Saad, Youcef
271
1992
Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030
Saad, Y.
209
1992
Hybrid Krylov methods for nonlinear systems of equations. Zbl 0708.65049
Brown, Peter N.; Saad, Youcef
205
1990
ILUT: A dual threshold incomplete LU factorization. Zbl 0838.65026
Saad, Yousef
179
1994
Krylov subspace methods for solving large unsymmetric linear systems. Zbl 0474.65019
Saad, Y.
150
1981
Efficient solution of parabolic equations by Krylov approximation methods. Zbl 0757.65101
Gallopoulos, E.; Saad, Y.
127
1992
Variations on Arnoldi’s method for computing eigenelements of large unsymmetric matrices. Zbl 0456.65017
Saad, Y.
127
1980
Convergence theory of nonlinear Newton-Krylov algorithms. Zbl 0814.65048
Brown, Peter N.; Saad, Youcef
97
1994
Iterative solution of linear systems in the 20th century. Zbl 0965.65051
Saad, Yousef; van der Vorst, Henk A.
87
2000
Two classes of multisecant methods for nonlinear acceleration. Zbl 1224.65134
Fang, Haw-ren; Saad, Yousef
86
2009
On the rates of convergence of the Lanczos and the block-Lanczos methods. Zbl 0456.65016
Saad, Y.
77
1980
Approximate inverse preconditioners via sparse-sparse iterations. Zbl 0922.65034
Chow, Edmond; Saad, Yousef
73
1998
Numerical methods for electronic structure calculations of materials. Zbl 1185.82004
Saad, Yousef; Chelikowsky, James R.; Shontz, Suzanne M.
71
2010
Experimental study of ILU preconditioners for indefinite matrices. Zbl 0891.65028
Chow, Edmond; Saad, Yousef
65
1997
Deflated and augmented Krylov subspace techniques. Zbl 0889.65028
Chapman, A.; Saad, Y.
64
1997
Chebyshev acceleration techniques for solving nonsymmetric eigenvalue problems. Zbl 0539.65013
Saad, Youcef
62
1984
The Lanczos biorthogonalization algorithm and other oblique projection methods for solving large unsymmetric systems. Zbl 0483.65022
Saad, Y.
60
1982
A deflated version of the conjugate gradient algorithm. Zbl 0955.65021
Saad, Y.; Yeung, M.; Erhel, J.; Guyomarc’h, F.
60
2000
Practical use of polynomial preconditionings for the conjugate gradient method. Zbl 0601.65019
Saad, Youcef
57
1985
Dynamic thick restarting of the Davidson, and the implicitly restarted Arnoldi methods. Zbl 0924.65028
Stathopoulos, Andreas; Saad, Yousef; Wu, Kesheng
49
1998
Self-consistent-field calculations using Chebyshev-filtered subspace iteration. Zbl 1105.65111
Zhou, Yunkai; Saad, Yousef; Tiago, Murilo L.; Chelikowsky, James R.
49
2006
ILUM: A multi-elimination ILU preconditioner for general sparse matrices. Zbl 0858.65029
Saad, Y.
49
1996
Conjugate gradient-like algorithms for solving nonsymmetric linear systems. Zbl 0566.65019
Saad, Youcef; Schultz, Martin H.
48
1985
Krylov subspace methods on supercomputers. Zbl 0693.65028
Saad, Youcef
47
1989
On the Lanczos method for solving symmetric linear systems with several right-hand sides. Zbl 0615.65038
Saad, Youcef
45
1987
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
44
1991
Analysis of augmented Krylov subspace methods. Zbl 0871.65026
Saad, Yousef
43
1997
Approximate inverse techniques for block-partitioned matrices. Zbl 0888.65035
Chow, Edmond; Saad, Yousef
42
1997
Crout versions of ILU for general sparse matrices. Zbl 1042.65025
Li, Na; Saad, Yousef; Chow, Edmond
42
2003
ARMS: an algebraic recursive multilevel solver for general sparse linear systems. Zbl 1071.65001
Saad, Y.; Suchomel, B.
41
2002
Preconditioning techniques for nonsymmetric and indefinite linear systems. Zbl 0662.65028
Saad, Youcef
40
1988
Approximating spectral densities of large matrices. Zbl 1338.15026
Lin, Lin; Saad, Yousef; Yang, Chao
39
2016
An estimator for the diagonal of a matrix. Zbl 1123.65026
Bekas, C.; Kokiopoulou, E.; Saad, Y.
36
2007
Efficient estimation of eigenvalue counts in an interval. Zbl 1413.65092
Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef
36
2016
A parallel block cyclic reduction algorithm for the fast solution of elliptic equations. Zbl 0676.65098
Gallopoulos, E.; Saad, Y.
33
1989
Iterative solution of linear equations in ODE codes. Zbl 0541.65051
Gear, C. W.; Saad, Y.
33
1983
BILUM: Block versions of multielimination and multilevel ILU preconditioner for general sparse linear systems. Zbl 0956.65026
Saad, Yousef; Zhang, Jun
33
1999
Trace optimization and eigenproblems in dimension reduction methods. Zbl 1249.65075
Kokiopoulou, E.; Chen, Jie; Saad, Yousef
33
2011
A probing method for computing the diagonal of a matrix inverse. Zbl 1274.65132
Tang, Jok M.; Saad, Yousef
32
2012
Distributed Schur complement techniques for general sparse linear systems. Zbl 0955.65020
Saad, Yousef; Sosonkina, Maria
31
2000
Numerical methods in Markov chain modeling. Zbl 0764.65095
Philippe, Bernard; Saad, Youcef; Stewart, William J.
31
1992
Fast estimation of \(\mathrm{tr}(f(A))\) via stochastic Lanczos quadrature. Zbl 1386.65125
Ubaru, Shashanka; Chen, Jie; Saad, Yousef
29
2017
A filtered Lanczos procedure for extreme and interior eigenvalue problems. Zbl 1253.65053
Fang, Haw-Ren; Saad, Yousef
29
2012
Preconditioning Helmholtz linear systems. Zbl 1190.65048
Osei-Kuffuor, Daniel; Saad, Yousef
28
2010
Projection and deflation methods for partial pole assignment in linear state feedback. Zbl 0641.93031
Saad, Youcef
26
1988
BILUTM: A domain-based multilevel block ILUT preconditioner for general sparse matrices. Zbl 0942.65045
Saad, Yousef; Zhang, Jun
26
1999
Practical use of some Krylov subspace methods for solving indefinite and nonsymmetric linear systems. Zbl 0539.65012
Saad, Youcef
25
1984
Shanks sequence transformations and Anderson acceleration. Zbl 1395.65001
Brezinski, Claude; Redivo-Zaglia, Michela; Saad, Yousef
25
2018
An arbitrary Lagrangian-Eulerian finite element method for solving three-dimensional free surface flows. Zbl 0948.76043
Soulaimani, Azzeddine; Saad, Yousef
24
1998
Multilevel preconditioners constructed from inverse-based ILUs. Zbl 1104.65037
Bollhöfer, Matthias; Saad, Yousef
24
2006
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
A Chebyshev-Davidson algorithm for large symmetric eigenproblems. Zbl 1151.65321
Zhou, Yunkai; Saad, Yousef
23
2007
On the tensor SVD and the optimal low rank orthogonal approximation of tensors. Zbl 1184.65043
Chen, Jie; Saad, Yousef
22
2009
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
22
2016
Numerical solution of large nonsymmetric eigenvalue problems. Zbl 0798.65053
Saad, Youcef
21
1989
The trace ratio optimization problem. Zbl 1251.65090
Ngo, T. T.; Bellalij, M.; Saad, Y.
20
2012
Restarting techniques for the (Jacobi-)Davidson symmetric eigenvalue method. Zbl 0912.65027
Stathopoulos, Andreas; Saad, Yousef
20
1998
Least squares polynomials in the complex plane and their use for solving nonsymmetric linear systems. Zbl 0619.65022
Saad, Youcef
20
1987
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
19
2004
Block Krylov-Schur method for large symmetric eigenvalue problems. Zbl 1153.65330
Zhou, Yunkai; Saad, Yousef
18
2008
High-order ILU preconditioners for CFD problems. Zbl 0959.76077
Chapman, Andrew; Saad, Yousef; Wigton, Larry
18
2000
Overlapping domain decomposition algorithms for general sparse matrices. Zbl 0851.65083
Cai, Xiao-Chuan; Saad, Yousef
18
1996
An algebraic multilevel preconditioner with low-rank corrections for sparse symmetric matrices. Zbl 1376.65036
Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef
18
2016
pARMS: a parallel version of the algebraic recursive multilevel solver. Zbl 1071.65532
Li, Zhongze; Saad, Yousef; Sosonkina, Masha
17
2003
Solving sparse triangular linear systems on parallel computers. Zbl 0726.65026
Anderson, Edward; Saad, Youcef
17
1989
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
17
2014
MIQR: a multilevel incomplete QR preconditioner for large sparse least-squares problems. Zbl 1113.65036
Li, Na; Saad, Yousef
15
2006
Fast approximate \(k\)NN graph construction for high dimensional data via recursive Lanczos bisection. Zbl 1235.68137
Chen, Jie; Fang, Haw-Ren; Saad, Yousef
15
2009
On acceleration methods for coupled nonlinear elliptic systems. Zbl 0724.65095
Kerkhoven, T.; Saad, Y.
15
1992
Preconditioned Krylov subspace methods for sampling multivariate Gaussian distributions. Zbl 1296.60087
Chow, Edmond; Saad, Yousef
15
2014
A spectrum slicing method for the Kohn-Sham problem. Zbl 1264.82014
Schofield, Grady; Chelikowsky, James R.; Saad, Yousef
15
2012
Robust preconditioning of large, sparse, symmetric eigenvalue problems. Zbl 0857.65040
Stathopoulos, Andreas; Saad, Yousef; Fischer, Charlotte F.
14
1995
Inexact Newton preconditioning techniques for large symmetric eigenvalue problems. Zbl 0916.65035
Wu, Kesheng; Saad, Yousef; Stathopoulos, Andreas
14
1998
Complex shift and invert strategies for real matrices. Zbl 0623.65045
Parlett, Beresford N.; Saad, Youcef
14
1987
Schur complement-based domain decomposition preconditioners with low-rank corrections. Zbl 1399.65238
Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef
14
2016
Low-rank correction methods for algebraic domain decomposition preconditioners. Zbl 1371.65029
Li, Ruipeng; Saad, Yousef
14
2017
Incremental incomplete LU factorizations with applications. Zbl 1240.65091
Calgaro, Caterina; Chehab, Jean-Paul; Saad, Yousef
13
2010
The trace ratio optimization problem for dimensionality reduction. Zbl 1209.65063
Ngo, T. T.; Bellalij, M.; Saad, Y.
13
2010
Divide and conquer low-rank preconditioners for symmetric matrices. Zbl 1362.65036
Li, Ruipeng; Saad, Yousef
13
2013
Iterative solution of indefinite symmetric linear systems by methods using orthogonal polynomials over two disjoint intervals. Zbl 0547.65028
Saad, Youcef
12
1983
Solution of large eigenvalue problems in electronic structure calculations. Zbl 0862.65059
Saad, Y.; Stathopoulos, A.; Chelikowsky, J.; Wu, K.; Öǧüt, S.
12
1996
A greedy strategy for coarse-grid selection. Zbl 1154.65016
MacLachlan, S.; Saad, Yousef
12
2007
Electronic structure calculations for plane-wave codes without diagonalization. Zbl 1001.65038
Jay, Laurent O.; Kim, Hanchul; Saad, Yousef; Chelikowsky, James R.
12
1999
On the relations between ILUs and factored approximate inverses. Zbl 1017.65019
Bollhöfer, Matthias; Saad, Yousef
12
2002
SMASH: structured matrix approximation by separation and hierarchy. Zbl 1513.65128
Cai, Difeng; Chow, Edmond; Erlandson, Lucas; Saad, Yousef; Xi, Yuanzhe
12
2018
Data communication in parallel architectures. Zbl 0681.68007
Saad, Youcef; Schultz, Martin H.
11
1989
Enhanced multi-level block ILU preconditioning strategies for general sparse linear systems. Zbl 1010.65014
Saad, Yousef; Zhang, Jun
11
2001
DQGMRES: a direct quasi-minimal residual algorithm based on incomplete orthogonalization. Zbl 0906.65033
Saad, Y.; Wu, K.
11
1996
Multilevel ILU with reorderings for diagonal dominance. Zbl 1091.65034
Saad, Yousef
11
2005
Computing partial spectra with least-squares rational filters. Zbl 1351.65026
Xi, Yuanzhe; Saad, Yousef
11
2016
The eigenvalues slicing library (EVSL): algorithms, implementation, and software. Zbl 1420.65050
Li, Ruipeng; Xi, Yuanzhe; Erlandson, Lucas; Saad, Yousef
11
2019
Domain decomposition and multi-level type techniques for general sparse linear systems. Zbl 0909.65020
Saad, Yousef; Sosonkina, Maria; Zhang, Jun
10
1998
Computation of smallest eigenvalues using spectral Schur complements. Zbl 1091.65035
Bekas, Constantine; Saad, Yousef
10
2005
Numerical solution of large Lyapunov equations. Zbl 0719.65034
Saad, Youcef
10
1990
Graph coarsening: from scientific computing to machine learning. Zbl 1484.65322
Chen, Jie; Saad, Yousef; Zhang, Zechen
1
2022
A non-perturbative approach to computing seismic normal modes in rotating planets. Zbl 1489.85001
Shi, Jia; Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef; de Hoop, Maarten V.
1
2022
Shanks and Anderson-type acceleration techniques for systems of nonlinear equations. Zbl 1506.65003
Brezinski, Claude; Cipolla, Stefano; Redivo-Zaglia, Michela; Saad, Yousef
1
2022
A power Schur complement low-rank correction preconditioner for general sparse linear systems. Zbl 07340707
Zheng, Qingqing; Xi, Yuanzhe; Saad, Yousef
2
2021
Proxy-GMRES: preconditioning via GMRES in polynomial space. Zbl 1528.65020
Ye, Xin; Xi, Yuanzhe; Saad, Yousef
2
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.
8
2020
A rational approximation method for solving acoustic nonlinear eigenvalue problems. Zbl 1464.76086
El-Guide, Mohamed; Miȩdlar, Agnieszka; Saad, Yousef
7
2020
Iterative methods for linear systems of equations: a brief historical journey. Zbl 1477.65063
Saad, Yousef
6
2020
Multicolor low-rank preconditioner for general sparse linear systems. Zbl 1474.65070
Zheng, Qingqing; Xi, Yuanzhe; Saad, Yousef
2
2020
The eigenvalues slicing library (EVSL): algorithms, implementation, and software. Zbl 1420.65050
Li, Ruipeng; Xi, Yuanzhe; Erlandson, Lucas; Saad, Yousef
11
2019
Sampling and multilevel coarsening algorithms for fast matrix approximations. Zbl 1463.65096
Ubaru, Shashanka; Saad, Yousef
1
2019
Shanks sequence transformations and Anderson acceleration. Zbl 1395.65001
Brezinski, Claude; Redivo-Zaglia, Michela; Saad, Yousef
25
2018
SMASH: structured matrix approximation by separation and hierarchy. Zbl 1513.65128
Cai, Difeng; Chow, Edmond; Erlandson, Lucas; Saad, Yousef; Xi, Yuanzhe
12
2018
Beyond automated multilevel substructuring: domain decomposition with rational filtering. Zbl 1394.65030
Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef
7
2018
Domain decomposition approaches for accelerating contour integration eigenvalue solvers for symmetric eigenvalue problems. Zbl 1524.65173
Kalantzis, Vassilis; Kestyn, James; Polizzi, Eric; Saad, Yousef
7
2018
Phase retrieval via reweighted amplitude flow. Zbl 1415.94269
Wang, Gang; Giannakis, Georgios B.; Saad, Yousef; Chen, Jie
6
2018
A hierarchical low rank Schur complement preconditioner for indefinite linear systems. Zbl 1392.65027
Dillon, Geoffrey; Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef
6
2018
A posteriori error estimate for computing \(\operatorname{tr}(f(A))\) by using the Lanczos method. Zbl 1513.65127
Chen, Jie; Saad, Yousef
2
2018
Fast computation of spectral densities for generalized eigenvalue problems. Zbl 1416.65097
Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef
1
2018
Fast estimation of \(\mathrm{tr}(f(A))\) via stochastic Lanczos quadrature. Zbl 1386.65125
Ubaru, Shashanka; Chen, Jie; Saad, Yousef
29
2017
Low-rank correction methods for algebraic domain decomposition preconditioners. Zbl 1371.65029
Li, Ruipeng; Saad, Yousef
14
2017
A rational function preconditioner for indefinite sparse linear systems. Zbl 1368.65044
Xi, Yuanzhe; Saad, Yousef
8
2017
Cucheb: a GPU implementation of the filtered Lanczos procedure. Zbl 1411.65005
Aurentz, Jared L.; Kalantzis, Vassilis; Saad, Yousef
2
2017
Fast estimation of approximate matrix ranks using spectral densities. Zbl 1474.68318
Ubaru, Shashanka; Saad, Yousef; Seghouane, Abd-Krim
2
2017
Low rank approximation and decomposition of large matrices using error correcting codes. Zbl 1374.94851
Ubaru, Shashanka; Mazumdar, Arya; Saad, Yousef
1
2017
Approximating spectral densities of large matrices. Zbl 1338.15026
Lin, Lin; Saad, Yousef; Yang, Chao
39
2016
Efficient estimation of eigenvalue counts in an interval. Zbl 1413.65092
Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef
36
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
22
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
14
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
7
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
17
2014
Preconditioned Krylov subspace methods for sampling multivariate Gaussian distributions. Zbl 1296.60087
Chow, Edmond; Saad, Yousef
15
2014
Graph partitioning using matrix values for preconditioning symmetric positive definite systems. Zbl 1290.65025
Vecharynski, Eugene; Saad, Yousef; Sosonkina, Masha
8
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
32
2012
A filtered Lanczos procedure for extreme and interior eigenvalue problems. Zbl 1253.65053
Fang, Haw-Ren; Saad, Yousef
29
2012
The trace ratio optimization problem. Zbl 1251.65090
Ngo, T. T.; Bellalij, M.; Saad, Y.
20
2012
A spectrum slicing method for the Kohn-Sham problem. Zbl 1264.82014
Schofield, Grady; Chelikowsky, James R.; Saad, Yousef
15
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
298
2011
Trace optimization and eigenproblems in dimension reduction methods. Zbl 1249.65075
Kokiopoulou, E.; Chen, Jie; Saad, Yousef
33
2011
Computing \(f(A)b\) via least squares polynomial approximations. Zbl 1234.65027
Chen, Jie; Anitescu, Mihai; Saad, Yousef
9
2011
Domain-decomposition-type methods for computing the diagonal of a matrix inverse. Zbl 1232.65048
Tang, Jok M.; Saad, Yousef
6
2011
Rational approximation to the Fermi-Dirac function with applications in density functional theory. Zbl 1211.65026
Sidje, Roger B.; Saad, Yousef
5
2011
Numerical methods for electronic structure calculations of materials. Zbl 1185.82004
Saad, Yousef; Chelikowsky, James R.; Shontz, Suzanne M.
71
2010
Preconditioning Helmholtz linear systems. Zbl 1190.65048
Osei-Kuffuor, Daniel; Saad, Yousef
28
2010
Incremental incomplete LU factorizations with applications. Zbl 1240.65091
Calgaro, Caterina; Chehab, Jean-Paul; Saad, Yousef
13
2010
The trace ratio optimization problem for dimensionality reduction. Zbl 1209.65063
Ngo, T. T.; Bellalij, M.; Saad, Y.
13
2010
Further analysis of the Arnoldi process for eigenvalue problems. Zbl 1210.65085
Bellalij, M.; Saad, Y.; Sadok, H.
8
2010
Sparse approximations of the Schur complement for parallel algebraic hybrid solvers in 3D. Zbl 1240.65093
Giraud, L.; Haidar, A.; Saad, Y.
5
2010
Computing \(exp(-\tau A) b\) with Laguerre polynomials. Zbl 1205.65165
Sheehan, Bernard N.; Saad, Yousef; Sidje, Roger B.
5
2010
Two classes of multisecant methods for nonlinear acceleration. Zbl 1224.65134
Fang, Haw-ren; Saad, Yousef
86
2009
On the tensor SVD and the optimal low rank orthogonal approximation of tensors. Zbl 1184.65043
Chen, Jie; Saad, Yousef
22
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
15
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
18
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
9
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.
36
2007
A Chebyshev-Davidson algorithm for large symmetric eigenproblems. Zbl 1151.65321
Zhou, Yunkai; Saad, Yousef
23
2007
A greedy strategy for coarse-grid selection. Zbl 1154.65016
MacLachlan, S.; Saad, Yousef
12
2007
On correction equations and domain decomposition for computing invariant subspaces. Zbl 1173.65320
Philippe, Bernard; Saad, Yousef
7
2007
Greedy coarsening strategies for nonsymmetric problems. Zbl 1149.65022
Maclachlan, Scott; Saad, Yousef
4
2007
Algorithms for the evolution of electronic properties in nanocrystals. Zbl 1196.82045
Chelikowsky, James R.; Tiago, Murilo L.; Saad, Yousef; Zhou, Yunkai
1
2007
Self-consistent-field calculations using Chebyshev-filtered subspace iteration. Zbl 1105.65111
Zhou, Yunkai; Saad, Yousef; Tiago, Murilo L.; Chelikowsky, James R.
49
2006
Multilevel preconditioners constructed from inverse-based ILUs. Zbl 1104.65037
Bollhöfer, Matthias; Saad, Yousef
24
2006
MIQR: a multilevel incomplete QR preconditioner for large sparse least-squares problems. Zbl 1113.65036
Li, Na; Saad, Yousef
15
2006
A parallel multistage ILU factorization based on a hierarchical graph decomposition. Zbl 1126.65028
Hénon, Pascal; Saad, Yousef
9
2006
Filtered conjugate residual-type algorithms with applications. Zbl 1120.65046
Saad, Yousef
4
2006
SchurRAS: A restricted version of the overlapping Schur complement preconditioner. Zbl 1099.65034
Li, Zhongze; Saad, Yousef
4
2006
Multilevel ILU with reorderings for diagonal dominance. Zbl 1091.65034
Saad, Yousef
11
2005
Computation of smallest eigenvalues using spectral Schur complements. Zbl 1091.65035
Bekas, Constantine; Saad, Yousef
10
2005
Crout versions of ILU factorization with pivoting for sparse symmetric matrices. Zbl 1075.65045
Li, Na; Saad, Yousef
9
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
19
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
2003
Crout versions of ILU for general sparse matrices. Zbl 1042.65025
Li, Na; Saad, Yousef; Chow, Edmond
42
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.
41
2002
On the relations between ILUs and factored approximate inverses. Zbl 1017.65019
Bollhöfer, Matthias; Saad, Yousef
12
2002
A factored approximate inverse preconditioner with pivoting. Zbl 0999.65027
Bollhöfer, Matthias; Saad, Yousef
9
2002
Enhanced GMRES acceleration techniques for some CFD problems. Zbl 1007.76071
Souläimani, Azzeddine; Ben Salah, Nizar; Saad, Yousef
7
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
5
2001
Iterative solution of linear systems in the 20th century. Zbl 0965.65051
Saad, Yousef; van der Vorst, Henk A.
87
2000
A deflated version of the conjugate gradient algorithm. Zbl 0955.65021
Saad, Y.; Yeung, M.; Erhel, J.; Guyomarc’h, F.
60
2000
Distributed Schur complement techniques for general sparse linear systems. Zbl 0955.65020
Saad, Yousef; Sosonkina, Maria
31
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
5
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
...and 81 more Documents
all top 5

Cited by 9,877 Authors

81 Reichel, Lothar
70 Tezduyar, Tayfun E.
65 Saad, Yousef
62 Huang, Ting-Zhu
46 Axelsson, Axel Owe Holger
46 Khojasteh Salkuyeh, Davod
46 Vuik, Cornelis
39 Jbilou, Khalide
39 Jia, Zhongxiao
39 Zhang, Guofeng
38 Zhang, Jun
36 Simoncini, Valeria
35 Cai, Xiao-Chuan
34 Benzi, Michele
34 Toutounian, Faezeh
33 Takizawa, Kenji
32 Bai, Zhongzhi
32 Gu, Xian-Ming
29 Antoine, Xavier
29 Bazilevs, Yuri
29 Hughes, Thomas J. R.
29 Knoll, Dana A.
29 Sadok, Hassane
27 Liang, Zhaozheng
27 Mohanty, Ranjan Kumar
27 Yang, Haijian
26 Cao, Yang
26 Ferronato, Massimiliano
26 Wathen, Andrew John
25 Szyld, Daniel B.
24 Carpentieri, Bruno
24 Stoll, Martin
23 Li, Rencang
23 Wu, Gang
22 Elman, Howard C.
22 Ma, Changfeng
22 Wu, Shiliang
22 Yang, Chao
21 Niu, Qiang
20 Beik, Fatemeh Panjeh Ali
20 Chacón, Luis
20 Nataf, Frédéric
20 Serra-Capizzano, Stefano
20 Van der Vorst, Henk Albertus
20 Wei, Yimin
20 Ying, Wenjun
19 Benner, Peter
19 Bochev, M. A.
19 Jing, Yanfei
19 Keyes, David Elliot
19 Liu, Jun
19 Quarteroni, Alfio M.
19 Sun, Haiwei
19 Tchelepi, Hamdi A.
19 Wu, Yujiang
18 Gómez, Héctor J.
18 Helsing, Johan
18 Janna, Carlo
18 Li, Shuwang
18 Pini, Giorgio
18 Shadid, John N.
18 Xi, Yuanzhe
18 Zhang, Lei-Hong
17 Bergamaschi, Luca
17 Calvetti, Daniela
17 Frommer, Andreas
17 Grigori, Laura
17 Gu, Tongxiang
17 Il’in, Valeriĭ Pavlovich
17 Novati, Paolo
17 Sleijpen, Gerard L. G.
17 Van Gijzen, Martin Bastiaan
17 Wen, Chun
16 Bentbib, Abdeslem Hafid
16 Castelletto, Nicola
16 Gravvanis, George A.
16 Hayami, Ken
16 Hwang, Fengnan
16 Li, Cuixia
16 Lin, Lin
16 Mittal, Sanjay
16 Neytcheva, Maya G.
16 Wu, Qingbiao
16 Ying, Lexing
15 Chien, Cheng-Sheng
15 Gambolati, Giuseppe
15 Geuzaine, Christophe A.
15 Imakura, Akira
15 Jolivet, Pierre
15 Li, Liang
15 Lu, Linzhang
15 Magoulès, Frédéric
15 Meurant, Gérard A.
15 Sadkane, Miloud
15 Saibaba, Arvind Krishna
15 Tůma, Miroslav
15 Yang, Aili
15 Ye, Qiang
15 Zhang, Shao-Liang
14 Behr, Marek A.
...and 9,777 more Authors
all top 5

Cited in 469 Serials

826 Journal of Computational Physics
482 Journal of Computational and Applied Mathematics
414 Computer Methods in Applied Mechanics and Engineering
299 Computers & Mathematics with Applications
295 SIAM Journal on Scientific Computing
264 Applied Mathematics and Computation
221 Numerical Algorithms
219 Applied Numerical Mathematics
217 Linear Algebra and its Applications
174 Computers and Fluids
172 Numerical Linear Algebra with Applications
167 Journal of Scientific Computing
138 BIT
136 SIAM Journal on Matrix Analysis and Applications
126 International Journal for Numerical Methods in Engineering
122 Computer Physics Communications
114 Engineering Analysis with Boundary Elements
102 International Journal of Computer Mathematics
95 Computational Mechanics
70 International Journal for Numerical Methods in Fluids
69 Journal of Fluid Mechanics
69 Numerische Mathematik
66 Computational and Applied Mathematics
55 Advances in Computational Mathematics
53 Mathematics of Computation
51 Applied Mathematics Letters
48 ETNA. Electronic Transactions on Numerical Analysis
43 Mathematics and Computers in Simulation
43 Japan Journal of Industrial and Applied Mathematics
43 Applied Mathematical Modelling
41 Computational Optimization and Applications
39 International Journal of Computational Fluid Dynamics
39 Communications in Computational Physics
38 Computational Geosciences
37 Mathematical Problems in Engineering
34 SIAM Journal on Numerical Analysis
33 Calcolo
33 Communications in Numerical Methods in Engineering
30 Archives of Computational Methods in Engineering
29 Optimization Methods & Software
29 Journal of Applied Mathematics and Computing
25 East Asian Journal on Applied Mathematics
23 Mathematical and Computer Modelling
22 Journal of Optimization Theory and Applications
21 Computing
21 Computing and Visualization in Science
21 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
20 Computational Mathematics and Mathematical Physics
20 Physics of Fluids
20 Multiscale Modeling & Simulation
19 Numerical Methods for Partial Differential Equations
17 Numerical Functional Analysis and Optimization
17 COMPEL
17 SIAM Review
17 SIAM Journal on Optimization
17 Journal of Mathematical Sciences (New York)
17 International Journal of Computational Methods
16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
16 Journal of Machine Learning Research (JMLR)
16 Journal of Numerical Mathematics
15 Inverse Problems
15 Linear and Multilinear Algebra
15 Mathematical Programming. Series A. Series B
15 SIAM Journal on Imaging Sciences
14 Computational Methods in Applied Mathematics
14 Journal of Applied Mathematics
14 Journal of Computational Acoustics
14 Science China. Mathematics
13 Abstract and Applied Analysis
13 Advances in Applied Mathematics and Mechanics
12 Physica D
12 Statistics and Computing
11 Journal of Engineering Mathematics
11 Automatica
11 Advances in Difference Equations
10 Applications of 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 Acta Numerica
10 International Journal for Numerical Methods in Biomedical Engineering
10 Numerical Algebra, Control and Optimization
10 SIAM/ASA Journal on Uncertainty Quantification
9 Discrete Applied Mathematics
9 ACM Transactions on Mathematical Software
9 Applied Mathematics and Mechanics. (English Edition)
9 Russian Journal of Numerical Analysis and Mathematical Modelling
9 Parallel Algorithms and Applications
9 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
9 Optimization Letters
8 Bulletin of Mathematical Biology
8 Information Sciences
8 Systems & Control Letters
8 Annals of Operations Research
8 Journal of Mathematical Imaging and Vision
8 Lobachevskii Journal of Mathematics
8 GAMM-Mitteilungen
8 Numerical Mathematics: Theory, Methods and Applications
8 Results in Applied Mathematics
7 International Journal for Numerical and Analytical Methods in Geomechanics
...and 369 more Serials
all top 5

Cited in 55 Fields

5,761 Numerical analysis (65-XX)
1,742 Fluid mechanics (76-XX)
1,284 Partial differential equations (35-XX)
681 Linear and multilinear algebra; matrix theory (15-XX)
673 Mechanics of deformable solids (74-XX)
363 Operations research, mathematical programming (90-XX)
309 Computer science (68-XX)
275 Optics, electromagnetic theory (78-XX)
223 Biology and other natural sciences (92-XX)
196 Calculus of variations and optimal control; optimization (49-XX)
191 Statistical mechanics, structure of matter (82-XX)
159 Ordinary differential equations (34-XX)
153 Systems theory; control (93-XX)
144 Geophysics (86-XX)
140 Statistics (62-XX)
127 Classical thermodynamics, heat transfer (80-XX)
124 Quantum theory (81-XX)
122 Probability theory and stochastic processes (60-XX)
111 Information and communication theory, circuits (94-XX)
93 Integral equations (45-XX)
86 Operator theory (47-XX)
72 Combinatorics (05-XX)
60 Dynamical systems and ergodic theory (37-XX)
51 Approximations and expansions (41-XX)
48 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
42 Mechanics of particles and systems (70-XX)
30 Real functions (26-XX)
24 Harmonic analysis on Euclidean spaces (42-XX)
21 Potential theory (31-XX)
20 Functions of a complex variable (30-XX)
17 Special functions (33-XX)
17 Astronomy and astrophysics (85-XX)
13 Global analysis, analysis on manifolds (58-XX)
11 Functional analysis (46-XX)
9 General and overarching topics; collections (00-XX)
9 Integral transforms, operational calculus (44-XX)
9 Differential geometry (53-XX)
7 History and biography (01-XX)
5 Difference and functional equations (39-XX)
5 Convex and discrete geometry (52-XX)
4 Sequences, series, summability (40-XX)
4 Relativity and gravitational theory (83-XX)
3 Number theory (11-XX)
3 Measure and integration (28-XX)
2 Topological groups, Lie groups (22-XX)
2 Geometry (51-XX)
2 Mathematics education (97-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Group theory and generalizations (20-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.