Edit Profile (opens in new tab) Saad, Yousef Co-Author Distance Author ID: saad.yousef Published as: Saad, Yousef; Saad, Youcef; Saad, Y. more...less External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 209 Publications since 1974, including 4 Books and 7 Additional arXiv Preprints 4 Contributions as Editor Software Indexed: 19 Packages Co-Authors: 138 Co-Authors with 162 Joint Publications 3,459 Co-Co-Authors all top 5 Co-Authors 46 single-authored 18 Xi, Yuanzhe 10 Chelikowsky, James R. 10 Li, Ruipeng 8 Chow, Edmond 7 Chen, Jie 7 Kalantzis, Vassilis 7 Schultz, Martin H. 7 Ubaru, Shashanka 6 Wu, Kesheng 6 Zhou, Yunkai 5 Seghouane, Abd-Krim 5 Soulaimani, Azzeddine 5 Stathopoulos, Andreas 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 Sosonkina, Masha 3 Tang, Ziyuan 3 Vecharynski, Eugene 2 Aurentz, Jared Lee 2 Brezinski, Claude 2 Chapman, Andrew M. 2 de Hoop, Maarten V. 2 El-Guide, Mohamed 2 Erlandson, Lucas 2 Giraud, Luc 2 Gowda, Shivaraju B. 2 He, Huan 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 Truhlar, Donald G. 2 Van der Vorst, Henk Albertus 2 Xu, Tianshi 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 Austin, Anthony P. 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 Dillon, Geoffrey 1 Duff, Iain S. 1 Elman, Howard C. 1 Erhel, Jocelyne 1 Fan, Li 1 Fischer, Charlotte Froese 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 Horesh, Lior 1 Ilić, Miloš 1 Ipsen, Ilse C. F. 1 Jay, Laurent-Olivier 1 Johnsson, S. Lennart 1 Kalantzis, Vasileios 1 Kechroud, Riyad 1 Kerkhoven, Thomas ...and 38 more Co-Authors all top 5 Serials 35 SIAM Journal on Scientific Computing 24 Numerical Linear Algebra with Applications 20 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 all top 5 Fields 194 Numerical analysis (65-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 23 Partial differential equations (35-XX) 16 Computer science (68-XX) 15 Fluid mechanics (76-XX) 8 Operations research, mathematical programming (90-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 General and overarching topics; collections (00-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 Approximations and expansions (41-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 185 Publications have been cited 12,418 times in 8,307 Documents Cited by ▼ Year ▼ GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. Zbl 0599.65018 Saad, Youcef; Schultz, Martin H. 3,064 1986 Parallel iterative methods for sparse linear systems. Zbl 1002.65042 Saad, Y. 1,774 2001 Iterative methods for sparse linear systems. 2nd ed. Zbl 1031.65046 Saad, Yousef 1,535 2003 A flexible inner-outer preconditioned GMRES algorithm. Zbl 0780.65022 Saad, Youcef 470 1993 Iterative methods for sparse linear systems. Zbl 1031.65047 Saad, Yousef 383 1996 Numerical methods for large eigenvalue problems. Revised ed. Zbl 1242.65068 Saad, Yousef 353 2011 Numerical methods for large eigenvalue problems. Zbl 0991.65039 Saad, Youcef 316 1992 Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030 Saad, Y. 233 1992 Hybrid Krylov methods for nonlinear systems of equations. Zbl 0708.65049 Brown, Peter N.; Saad, Youcef 218 1990 ILUT: A dual threshold incomplete LU factorization. Zbl 0838.65026 Saad, Yousef 191 1994 Krylov subspace methods for solving large unsymmetric linear systems. Zbl 0474.65019 Saad, Y. 163 1981 Variations on Arnoldi’s method for computing eigenelements of large unsymmetric matrices. Zbl 0456.65017 Saad, Y. 143 1980 Efficient solution of parabolic equations by Krylov approximation methods. Zbl 0757.65101 Gallopoulos, E.; Saad, Y. 136 1992 Two classes of multisecant methods for nonlinear acceleration. Zbl 1224.65134 Fang, Haw-ren; Saad, Yousef 110 2009 Convergence theory of nonlinear Newton-Krylov algorithms. Zbl 0814.65048 Brown, Peter N.; Saad, Youcef 105 1994 Iterative solution of linear systems in the 20th century. Zbl 0965.65051 Saad, Yousef; van der Vorst, Henk A. 97 2000 On the rates of convergence of the Lanczos and the block-Lanczos methods. Zbl 0456.65016 Saad, Y. 83 1980 Numerical methods for electronic structure calculations of materials. Zbl 1185.82004 Saad, Yousef; Chelikowsky, James R.; Shontz, Suzanne M. 78 2010 Approximate inverse preconditioners via sparse-sparse iterations. Zbl 0922.65034 Chow, Edmond; Saad, Yousef 77 1998 Chebyshev acceleration techniques for solving nonsymmetric eigenvalue problems. Zbl 0539.65013 Saad, Youcef 73 1984 A deflated version of the conjugate gradient algorithm. Zbl 0955.65021 Saad, Y.; Yeung, M.; Erhel, J.; Guyomarc’h, F. 70 2000 Experimental study of ILU preconditioners for indefinite matrices. Zbl 0891.65028 Chow, Edmond; Saad, Yousef 68 1997 Deflated and augmented Krylov subspace techniques. Zbl 0889.65028 Chapman, A.; Saad, Y. 68 1997 Numerical solution of large Lyapunov equations. Zbl 0719.65034 Saad, Youcef 63 1990 The Lanczos biorthogonalization algorithm and other oblique projection methods for solving large unsymmetric systems. Zbl 0483.65022 Saad, Y. 62 1982 Practical use of polynomial preconditionings for the conjugate gradient method. Zbl 0601.65019 Saad, Youcef 60 1985 Self-consistent-field calculations using Chebyshev-filtered subspace iteration. Zbl 1105.65111 Zhou, Yunkai; Saad, Yousef; Tiago, Murilo L.; Chelikowsky, James R. 60 2006 Conjugate gradient-like algorithms for solving nonsymmetric linear systems. Zbl 0566.65019 Saad, Youcef; Schultz, Martin H. 55 1985 ILUM: A multi-elimination ILU preconditioner for general sparse matrices. Zbl 0858.65029 Saad, Y. 52 1996 Dynamic thick restarting of the Davidson, and the implicitly restarted Arnoldi methods. Zbl 0924.65028 Stathopoulos, Andreas; Saad, Yousef; Wu, Kesheng 50 1998 Krylov subspace methods on supercomputers. Zbl 0693.65028 Saad, Youcef 49 1989 On the Lanczos method for solving symmetric linear systems with several right-hand sides. Zbl 0615.65038 Saad, Youcef 47 1987 Analysis of augmented Krylov subspace methods. Zbl 0871.65026 Saad, Yousef 47 1997 ARMS: an algebraic recursive multilevel solver for general sparse linear systems. Zbl 1071.65001 Saad, Y.; Suchomel, B. 47 2002 Approximating spectral densities of large matrices. Zbl 1338.15026 Lin, Lin; Saad, Yousef; Yang, Chao 47 2016 An estimator for the diagonal of a matrix. Zbl 1123.65026 Bekas, C.; Kokiopoulou, E.; Saad, Y. 44 2007 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 Crout versions of ILU for general sparse matrices. Zbl 1042.65025 Li, Na; Saad, Yousef; Chow, Edmond 43 2003 Approximate inverse techniques for block-partitioned matrices. Zbl 0888.65035 Chow, Edmond; Saad, Yousef 42 1997 Efficient estimation of eigenvalue counts in an interval. Zbl 1413.65092 Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef 41 2016 Preconditioning techniques for nonsymmetric and indefinite linear systems. Zbl 0662.65028 Saad, Youcef 41 1988 A probing method for computing the diagonal of a matrix inverse. Zbl 1274.65132 Tang, Jok M.; Saad, Yousef 37 2012 Iterative solution of linear equations in ODE codes. Zbl 0541.65051 Gear, C. W.; Saad, Y. 36 1983 BILUM: Block versions of multielimination and multilevel ILU preconditioner for general sparse linear systems. Zbl 0956.65026 Saad, Yousef; Zhang, Jun 35 1999 Trace optimization and eigenproblems in dimension reduction methods. Zbl 1249.65075 Kokiopoulou, E.; Chen, Jie; Saad, Yousef 35 2011 A parallel block cyclic reduction algorithm for the fast solution of elliptic equations. Zbl 0676.65098 Gallopoulos, E.; Saad, Y. 33 1989 Numerical methods in Markov chain modeling. Zbl 0764.65095 Philippe, Bernard; Saad, Youcef; Stewart, William J. 33 1992 A filtered Lanczos procedure for extreme and interior eigenvalue problems. Zbl 1253.65053 Fang, Haw-Ren; Saad, Yousef 33 2012 Fast estimation of \(\mathrm{tr}(f(A))\) via stochastic Lanczos quadrature. Zbl 1386.65125 Ubaru, Shashanka; Chen, Jie; Saad, Yousef 33 2017 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 32 2016 Distributed Schur complement techniques for general sparse linear systems. Zbl 0955.65020 Saad, Yousef; Sosonkina, Maria 32 2000 BILUTM: A domain-based multilevel block ILUT preconditioner for general sparse matrices. Zbl 0942.65045 Saad, Yousef; Zhang, Jun 30 1999 Shanks sequence transformations and Anderson acceleration. Zbl 1395.65001 Brezinski, Claude; Redivo-Zaglia, Michela; Saad, Yousef 30 2018 Preconditioning Helmholtz linear systems. Zbl 1190.65048 Osei-Kuffuor, Daniel; Saad, Yousef 30 2010 Practical use of some Krylov subspace methods for solving indefinite and nonsymmetric linear systems. Zbl 0539.65012 Saad, Youcef 29 1984 Preconditioned Krylov subspace methods for sampling multivariate Gaussian distributions. Zbl 1296.60087 Chow, Edmond; Saad, Yousef 28 2014 A Chebyshev-Davidson algorithm for large symmetric eigenproblems. Zbl 1151.65321 Zhou, Yunkai; Saad, Yousef 28 2007 Projection and deflation methods for partial pole assignment in linear state feedback. Zbl 0641.93031 Saad, Youcef 26 1988 Multilevel preconditioners constructed from inverse-based ILUs. Zbl 1104.65037 Bollhöfer, Matthias; Saad, Yousef 26 2006 On the tensor SVD and the optimal low rank orthogonal approximation of tensors. Zbl 1184.65043 Chen, Jie; Saad, Yousef 26 2009 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 Least squares polynomials in the complex plane and their use for solving nonsymmetric linear systems. Zbl 0619.65022 Saad, Youcef 24 1987 An arbitrary Lagrangian-Eulerian finite element method for solving three-dimensional free surface flows. Zbl 0948.76043 Soulaimani, Azzeddine; Saad, Yousef 24 1998 SMASH: structured matrix approximation by separation and hierarchy. Zbl 1513.65128 Cai, Difeng; Chow, Edmond; Erlandson, Lucas; Saad, Yousef; Xi, Yuanzhe 24 2018 Numerical solution of large nonsymmetric eigenvalue problems. Zbl 0798.65053 Saad, Youcef 23 1989 The trace ratio optimization problem. Zbl 1251.65090 Ngo, T. T.; Bellalij, M.; Saad, Y. 23 2012 An algebraic multilevel preconditioner with low-rank corrections for sparse symmetric matrices. Zbl 1376.65036 Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef 23 2016 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 21 2014 Restarting techniques for the (Jacobi-)Davidson symmetric eigenvalue method. Zbl 0912.65027 Stathopoulos, Andreas; Saad, Yousef 21 1998 Block Krylov-Schur method for large symmetric eigenvalue problems. Zbl 1153.65330 Zhou, Yunkai; Saad, Yousef 21 2008 Overlapping domain decomposition algorithms for general sparse matrices. Zbl 0851.65083 Cai, Xiao-Chuan; Saad, Yousef 20 1996 pARMS: a parallel version of the algebraic recursive multilevel solver. Zbl 1071.65532 Li, Zhongze; Saad, Yousef; Sosonkina, Masha 20 2003 High-order ILU preconditioners for CFD problems. Zbl 0959.76077 Chapman, Andrew; Saad, Yousef; Wigton, Larry 19 2000 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 A spectrum slicing method for the Kohn-Sham problem. Zbl 1264.82014 Schofield, Grady; Chelikowsky, James R.; Saad, Yousef 19 2012 Low-rank correction methods for algebraic domain decomposition preconditioners. Zbl 1371.65029 Li, Ruipeng; Saad, Yousef 18 2017 Computing partial spectra with least-squares rational filters. Zbl 1351.65026 Xi, Yuanzhe; Saad, Yousef 18 2016 Divide and conquer low-rank preconditioners for symmetric matrices. Zbl 1362.65036 Li, Ruipeng; Saad, Yousef 18 2013 Solving sparse triangular linear systems on parallel computers. Zbl 0726.65026 Anderson, Edward; Saad, Youcef 18 1989 Complex shift and invert strategies for real matrices. Zbl 0623.65045 Parlett, Beresford N.; Saad, Youcef 17 1987 The eigenvalues slicing library (EVSL): algorithms, implementation, and software. Zbl 1420.65050 Li, Ruipeng; Xi, Yuanzhe; Erlandson, Lucas; Saad, Yousef 17 2019 Fast approximate \(k\)NN graph construction for high dimensional data via recursive Lanczos bisection. Zbl 1235.68137 Chen, Jie; Fang, Haw-Ren; Saad, Yousef 17 2009 Schur complement-based domain decomposition preconditioners with low-rank corrections. Zbl 1399.65238 Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef 16 2016 Solution of large eigenvalue problems in electronic structure calculations. Zbl 0862.65059 Saad, Y.; Stathopoulos, A.; Chelikowsky, J.; Wu, K.; Öǧüt, S. 15 1996 On acceleration methods for coupled nonlinear elliptic systems. Zbl 0724.65095 Kerkhoven, T.; Saad, Y. 15 1992 MIQR: a multilevel incomplete QR preconditioner for large sparse least-squares problems. Zbl 1113.65036 Li, Na; Saad, Yousef 15 2006 Robust preconditioning of large, sparse, symmetric eigenvalue problems. Zbl 0857.65040 Stathopoulos, Andreas; Saad, Yousef; Fischer, Charlotte F. 14 1995 Electronic structure calculations for plane-wave codes without diagonalization. Zbl 1001.65038 Jay, Laurent O.; Kim, Hanchul; Saad, Yousef; Chelikowsky, James R. 14 1999 Inexact Newton preconditioning techniques for large symmetric eigenvalue problems. Zbl 0916.65035 Wu, Kesheng; Saad, Yousef; Stathopoulos, Andreas 14 1998 A greedy strategy for coarse-grid selection. Zbl 1154.65016 MacLachlan, S.; Saad, Yousef 14 2007 Incremental incomplete LU factorizations with applications. Zbl 1240.65091 Calgaro, Caterina; Chehab, Jean-Paul; Saad, Yousef 14 2010 The trace ratio optimization problem for dimensionality reduction. Zbl 1209.65063 Ngo, T. T.; Bellalij, M.; Saad, Y. 14 2010 Iterative solution of indefinite symmetric linear systems by methods using orthogonal polynomials over two disjoint intervals. Zbl 0547.65028 Saad, Youcef 13 1983 On the relations between ILUs and factored approximate inverses. Zbl 1017.65019 Bollhöfer, Matthias; Saad, Yousef 13 2002 Projection methods for solving large sparse eigenvalue problems. Zbl 0501.65014 Saad, Youcef 13 1983 DQGMRES: a direct quasi-minimal residual algorithm based on incomplete orthogonalization. Zbl 0906.65033 Saad, Y.; Wu, K. 13 1996 Computation of smallest eigenvalues using spectral Schur complements. Zbl 1091.65035 Bekas, Constantine; Saad, Yousef 13 2005 Multilevel ILU with reorderings for diagonal dominance. Zbl 1091.65034 Saad, Yousef 13 2005 Data communication in parallel architectures. Zbl 0681.68007 Saad, Youcef; Schultz, Martin H. 12 1989 Crout versions of ILU factorization with pivoting for sparse symmetric matrices. Zbl 1075.65045 Li, Na; Saad, Yousef 12 2005 nlTGCR: a class of nonlinear acceleration procedures based on conjugate residuals. Zbl 1535.65066 He, Huan; Tang, Ziyuan; Zhao, Shifan; Saad, Yousef; Xi, Yuanzhe 2 2024 Shanks and Anderson-type acceleration techniques for systems of nonlinear equations. Zbl 1506.65003 Brezinski, Claude; Cipolla, Stefano; Redivo-Zaglia, Michela; Saad, Yousef 3 2022 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 A power Schur complement low-rank correction preconditioner for general sparse linear systems. Zbl 07340707 Zheng, Qingqing; Xi, Yuanzhe; Saad, Yousef 3 2021 Proxy-GMRES: preconditioning via GMRES in polynomial space. Zbl 1528.65020 Ye, Xin; Xi, Yuanzhe; Saad, Yousef 3 2021 A rational approximation method for solving acoustic nonlinear eigenvalue problems. Zbl 1464.76086 El-Guide, Mohamed; Miȩdlar, Agnieszka; Saad, Yousef 11 2020 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. 9 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 17 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 30 2018 SMASH: structured matrix approximation by separation and hierarchy. Zbl 1513.65128 Cai, Difeng; Chow, Edmond; Erlandson, Lucas; Saad, Yousef; Xi, Yuanzhe 24 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 12 2018 Beyond automated multilevel substructuring: domain decomposition with rational filtering. Zbl 1394.65030 Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef 10 2018 Phase retrieval via reweighted amplitude flow. Zbl 1415.94269 Wang, Gang; Giannakis, Georgios B.; Saad, Yousef; Chen, Jie 8 2018 A hierarchical low rank Schur complement preconditioner for indefinite linear systems. Zbl 1392.65027 Dillon, Geoffrey; Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef 7 2018 Fast computation of spectral densities for generalized eigenvalue problems. Zbl 1416.65097 Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef 4 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 estimation of \(\mathrm{tr}(f(A))\) via stochastic Lanczos quadrature. Zbl 1386.65125 Ubaru, Shashanka; Chen, Jie; Saad, Yousef 33 2017 Low-rank correction methods for algebraic domain decomposition preconditioners. Zbl 1371.65029 Li, Ruipeng; Saad, Yousef 18 2017 A rational function preconditioner for indefinite sparse linear systems. Zbl 1368.65044 Xi, Yuanzhe; Saad, Yousef 9 2017 Cucheb: a GPU implementation of the filtered Lanczos procedure. Zbl 1411.65005 Aurentz, Jared L.; Kalantzis, Vassilis; Saad, Yousef 3 2017 Fast estimation of approximate matrix ranks using spectral densities. Zbl 1474.68318 Ubaru, Shashanka; Saad, Yousef; Seghouane, Abd-Krim 3 2017 Low rank approximation and decomposition of large matrices using error correcting codes. Zbl 1374.94851 Ubaru, Shashanka; Mazumdar, Arya; Saad, Yousef 2 2017 Improving the incoherence of a learned dictionary via rank shrinkage. Zbl 1474.68274 Ubaru, Shashanka; Seghouane, Abd-Krim; Saad, Yousef 1 2017 Approximating spectral densities of large matrices. Zbl 1338.15026 Lin, Lin; Saad, Yousef; Yang, Chao 47 2016 Efficient estimation of eigenvalue counts in an interval. Zbl 1413.65092 Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef 41 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 32 2016 An algebraic multilevel preconditioner with low-rank corrections for sparse symmetric matrices. Zbl 1376.65036 Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef 23 2016 Computing partial spectra with least-squares rational filters. Zbl 1351.65026 Xi, Yuanzhe; Saad, Yousef 18 2016 Schur complement-based domain decomposition preconditioners with low-rank corrections. Zbl 1399.65238 Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef 16 2016 Spectral Schur complement techniques for symmetric eigenvalue problems. Zbl 1352.65118 Kalantzis, Vassilis; Li, Ruipeng; Saad, Yousef 11 2016 Matrix reordering using multilevel graph coarsening for ILU preconditioning. Zbl 1315.65033 Osei-Kuffuor, Daniel; Li, Ruipeng; Saad, Yousef 6 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 Preconditioned Krylov subspace methods for sampling multivariate Gaussian distributions. Zbl 1296.60087 Chow, Edmond; Saad, Yousef 28 2014 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 21 2014 Graph partitioning using matrix values for preconditioning symmetric positive definite systems. Zbl 1290.65025 Vecharynski, Eugene; Saad, Yousef; Sosonkina, Masha 9 2014 Fast updating algorithms for latent semantic indexing. Zbl 1306.65193 Vecharynski, Eugene; Saad, Yousef 1 2014 Prewhitening high-dimensional fMRI data sets without eigendecomposition. Zbl 1415.92109 Seghouane, Abd-Krim; Saad, Yousef 1 2014 Divide and conquer low-rank preconditioners for symmetric matrices. Zbl 1362.65036 Li, Ruipeng; Saad, Yousef 18 2013 A probing method for computing the diagonal of a matrix inverse. Zbl 1274.65132 Tang, Jok M.; Saad, Yousef 37 2012 A filtered Lanczos procedure for extreme and interior eigenvalue problems. Zbl 1253.65053 Fang, Haw-Ren; Saad, Yousef 33 2012 The trace ratio optimization problem. Zbl 1251.65090 Ngo, T. T.; Bellalij, M.; Saad, Y. 23 2012 A spectrum slicing method for the Kohn-Sham problem. Zbl 1264.82014 Schofield, Grady; Chelikowsky, James R.; Saad, Yousef 19 2012 Modification and compensation strategies for threshold-based incomplete factorizations. Zbl 1241.65032 Maclachlan, S.; Osei-Kuffuor, D.; Saad, Yousef 7 2012 Numerical methods for large eigenvalue problems. Revised ed. Zbl 1242.65068 Saad, Yousef 353 2011 Trace optimization and eigenproblems in dimension reduction methods. Zbl 1249.65075 Kokiopoulou, E.; Chen, Jie; Saad, Yousef 35 2011 Computing \(f(A)b\) via least squares polynomial approximations. Zbl 1234.65027 Chen, Jie; Anitescu, Mihai; Saad, Yousef 10 2011 Domain-decomposition-type methods for computing the diagonal of a matrix inverse. Zbl 1232.65048 Tang, Jok M.; Saad, Yousef 7 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. 78 2010 Preconditioning Helmholtz linear systems. Zbl 1190.65048 Osei-Kuffuor, Daniel; Saad, Yousef 30 2010 Incremental incomplete LU factorizations with applications. Zbl 1240.65091 Calgaro, Caterina; Chehab, Jean-Paul; Saad, Yousef 14 2010 The trace ratio optimization problem for dimensionality reduction. Zbl 1209.65063 Ngo, T. T.; Bellalij, M.; Saad, Y. 14 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. 7 2010 Sparse approximations of the Schur complement for parallel algebraic hybrid solvers in 3D. Zbl 1240.65093 Giraud, L.; Haidar, A.; Saad, Y. 6 2010 Two classes of multisecant methods for nonlinear acceleration. Zbl 1224.65134 Fang, Haw-ren; Saad, Yousef 110 2009 On the tensor SVD and the optimal low rank orthogonal approximation of tensors. Zbl 1184.65043 Chen, Jie; Saad, Yousef 26 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 17 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 21 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 10 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. 44 2007 A Chebyshev-Davidson algorithm for large symmetric eigenproblems. Zbl 1151.65321 Zhou, Yunkai; Saad, Yousef 28 2007 A greedy strategy for coarse-grid selection. Zbl 1154.65016 MacLachlan, S.; Saad, Yousef 14 2007 On correction equations and domain decomposition for computing invariant subspaces. Zbl 1173.65320 Philippe, Bernard; Saad, Yousef 9 2007 Greedy coarsening strategies for nonsymmetric problems. Zbl 1149.65022 Maclachlan, Scott; Saad, Yousef 6 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. 60 2006 Multilevel preconditioners constructed from inverse-based ILUs. Zbl 1104.65037 Bollhöfer, Matthias; Saad, Yousef 26 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 12 2006 Filtered conjugate residual-type algorithms with applications. Zbl 1120.65046 Saad, Yousef 5 2006 SchurRAS: A restricted version of the overlapping Schur complement preconditioner. Zbl 1099.65034 Li, Zhongze; Saad, Yousef 4 2006 Computation of smallest eigenvalues using spectral Schur complements. Zbl 1091.65035 Bekas, Constantine; Saad, Yousef 13 2005 Multilevel ILU with reorderings for diagonal dominance. Zbl 1091.65034 Saad, Yousef 13 2005 Crout versions of ILU factorization with pivoting for sparse symmetric matrices. Zbl 1075.65045 Li, Na; Saad, Yousef 12 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 1,535 2003 Crout versions of ILU for general sparse matrices. Zbl 1042.65025 Li, Na; Saad, Yousef; Chow, Edmond 43 2003 pARMS: a parallel version of the algebraic recursive multilevel solver. Zbl 1071.65532 Li, Zhongze; Saad, Yousef; Sosonkina, Masha 20 2003 Finding exact and approximate block structures for ILU preconditioning. Zbl 1034.65020 Saad, Yousef 8 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. 47 2002 On the relations between ILUs and factored approximate inverses. Zbl 1017.65019 Bollhöfer, Matthias; Saad, Yousef 13 2002 A factored approximate inverse preconditioner with pivoting. Zbl 0999.65027 Bollhöfer, Matthias; Saad, Yousef 10 2002 Enhanced GMRES acceleration techniques for some CFD problems. Zbl 1007.76071 Souläimani, Azzeddine; Ben Salah, Nizar; Saad, Yousef 8 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. 1,774 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. 97 2000 A deflated version of the conjugate gradient algorithm. Zbl 0955.65021 Saad, Y.; Yeung, M.; Erhel, J.; Guyomarc’h, F. 70 2000 ...and 85 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 10,914 Authors 89 Reichel, Lothar 76 Saad, Yousef 67 Tezduyar, Tayfun E. 66 Huang, Ting-Zhu 52 Vuik, Cornelis 48 Khojasteh Salkuyeh, Davod 47 Axelsson, Axel Owe Holger 46 Jbilou, Khalide 42 Jia, Zhongxiao 42 Zhang, Guofeng 38 Benzi, Michele 38 Simoncini, Valeria 38 Zhang, Jun 37 Cai, Xiao-Chuan 36 Toutounian, Faezeh 34 Bai, Zhongzhi 33 Gu, Xian-Ming 30 Liang, Zhaozheng 30 Mohanty, Ranjan Kumar 30 Takizawa, Kenji 30 Yang, Haijian 29 Antoine, Xavier 29 Bazilevs, Yuri 29 Ferronato, Massimiliano 29 Hughes, Thomas J. R. 29 Knoll, Dana A. 29 Sadok, Hassane 28 Wu, Gang 27 Cao, Yang 27 Carpentieri, Bruno 27 Serra-Capizzano, Stefano 27 Szyld, Daniel B. 27 Wathen, Andrew John 26 Stoll, Martin 25 Benner, Peter 25 Li, Rencang 25 Quarteroni, Alfio M. 24 Xi, Yuanzhe 23 Yang, Chao 23 Ying, Wenjun 22 Beik, Fatemeh Panjeh Ali 22 Chacón, Luis 22 Elman, Howard C. 22 Janna, Carlo 22 Ma, Changfeng 22 Van der Vorst, Henk Albertus 22 Wu, Shiliang 21 Frommer, Andreas 21 Nataf, Frédéric 21 Niu, Qiang 21 Wu, Yujiang 20 Bergamaschi, Luca 20 Bochev, M. A. 20 Darve, Eric 20 Hwang, Fengnan 20 Jing, Yanfei 20 Keyes, David Elliot 20 Li, Shuwang 20 Shadid, John N. 20 Wei, Yimin 20 Wu, Qingbiao 19 Gómez, Héctor J. 19 Helsing, Johan 19 Liu, Jun 19 Neytcheva, Maya G. 19 Pearson, John W. 19 Pini, Giorgio 19 Tchelepi, Hamdi A. 19 Van Gijzen, Martin Bastiaan 19 Wen, Chun 19 Yang, Aili 19 Zhang, Lei-Hong 18 Bentbib, Abdeslem Hafid 18 Calvetti, Daniela 18 Grigori, Laura 18 Hayami, Ken 18 Tůma, Miroslav 17 Gu, Tongxiang 17 Il’in, Valeriĭ Pavlovich 17 Li, Liang 17 Magoulès, Frédéric 17 Meerbergen, Karl 17 Meurant, Gérard A. 17 Mittal, Sanjay 17 Novati, Paolo 17 Sadkane, Miloud 17 Scott, Jennifer 17 Sleijpen, Gerard L. G. 17 Wall, Wolfgang A. 16 Castelletto, Nicola 16 De Sterck, Hans 16 Farrell, Patrick E. 16 Gambolati, Giuseppe 16 Geuzaine, Christophe A. 16 Gravvanis, George A. 16 Güttel, Stefan 16 Heyouni, Mohammed 16 Imakura, Akira 16 Jolivet, Pierre 16 Kressner, Daniel ...and 10,814 more Authors all top 5 Cited in 495 Serials 916 Journal of Computational Physics 518 Journal of Computational and Applied Mathematics 445 Computer Methods in Applied Mechanics and Engineering 347 SIAM Journal on Scientific Computing 325 Computers & Mathematics with Applications 287 Numerical Linear Algebra with Applications 278 Applied Mathematics and Computation 238 Linear Algebra and its Applications 234 Numerical Algorithms 228 Applied Numerical Mathematics 185 Computers and Fluids 182 Journal of Scientific Computing 179 International Journal for Numerical Methods in Engineering 162 Computer Physics Communications 153 SIAM Journal on Matrix Analysis and Applications 142 BIT 124 Engineering Analysis with Boundary Elements 104 International Journal of Computer Mathematics 99 Computational Mechanics 95 International Journal for Numerical Methods in Fluids 74 Journal of Fluid Mechanics 74 Computational and Applied Mathematics 73 Numerische Mathematik 61 ETNA. 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(English Edition) 9 Russian Journal of Numerical Analysis and Mathematical Modelling 9 Parallel Algorithms and Applications 9 Lobachevskii Journal of Mathematics 9 GAMM-Mitteilungen 9 Optimization Letters 9 Numerical Mathematics: Theory, Methods and Applications ...and 395 more Serials all top 5 Cited in 55 Fields 6,437 Numerical analysis (65-XX) 1,928 Fluid mechanics (76-XX) 1,405 Partial differential equations (35-XX) 809 Linear and multilinear algebra; matrix theory (15-XX) 758 Mechanics of deformable solids (74-XX) 413 Operations research, mathematical programming (90-XX) 358 Computer science (68-XX) 297 Optics, electromagnetic theory (78-XX) 234 Biology and other natural sciences (92-XX) 218 Calculus of variations and optimal control; optimization (49-XX) 217 Statistical mechanics, structure of matter (82-XX) 178 Systems theory; control (93-XX) 169 Statistics (62-XX) 168 Ordinary differential equations (34-XX) 156 Quantum theory (81-XX) 155 Geophysics (86-XX) 137 Classical thermodynamics, heat transfer (80-XX) 136 Probability theory and stochastic processes (60-XX) 127 Information and communication theory, circuits (94-XX) 105 Integral equations (45-XX) 98 Operator theory (47-XX) 83 Combinatorics (05-XX) 69 Dynamical systems and ergodic theory (37-XX) 65 Approximations and expansions (41-XX) 51 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 49 Mechanics of particles and systems (70-XX) 37 Real functions (26-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 24 Potential theory (31-XX) 21 Functions of a complex variable (30-XX) 20 Special functions (33-XX) 19 Astronomy and astrophysics (85-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Functional analysis (46-XX) 11 Differential geometry (53-XX) 9 General and overarching topics; collections (00-XX) 9 Integral transforms, operational calculus (44-XX) 7 History and biography (01-XX) 5 Difference and functional equations (39-XX) 5 Convex and discrete geometry (52-XX) 5 Relativity and gravitational theory (83-XX) 4 Number theory (11-XX) 4 Measure and integration (28-XX) 4 Sequences, series, summability (40-XX) 3 Geometry (51-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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