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 Documents Indexed: 197 Publications since 1974, including 4 Books 4 Contributions as Editor Co-Authors: 127 Co-Authors with 150 Joint Publications 3,409 Co-Co-Authors all top 5 Co-Authors 46 single-authored 15 Xi, Yuanzhe 10 Chelikowsky, James R. 10 Li, Ruipeng 8 Chow, Edmond 7 Chen, Jie 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 Brezinski, Claude 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 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 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 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 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. ...and 27 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 all top 5 Fields 186 Numerical analysis (65-XX) 23 Partial differential equations (35-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 15 Fluid mechanics (76-XX) 14 Computer science (68-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Operations research, mathematical programming (90-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 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 179 Publications have been cited 10,609 times in 7,165 Documents Cited by ▼ Year ▼ GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. Zbl 0599.65018Saad, Youcef; Schultz, Martin H. 2,706 1986 Parallel iterative methods for sparse linear systems. Zbl 1002.65042Saad, Y. 1,699 2001 Iterative methods for sparse linear systems. 2nd ed. Zbl 1031.65046Saad, Yousef 1,094 2003 A flexible inner-outer preconditioned GMRES algorithm. Zbl 0780.65022Saad, Youcef 416 1993 Iterative methods for sparse linear systems. Zbl 1031.65047Saad, Yousef 344 1996 Numerical methods for large eigenvalue problems. Revised ed. Zbl 1242.65068Saad, Yousef 270 2011 Numerical methods for large eigenvalue problems. Zbl 0991.65039Saad, Youcef 264 1992 Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030Saad, Y. 203 1992 Hybrid Krylov methods for nonlinear systems of equations. Zbl 0708.65049Brown, Peter N.; Saad, Youcef 202 1990 ILUT: A dual threshold incomplete LU factorization. Zbl 0838.65026Saad, Yousef 177 1994 Krylov subspace methods for solving large unsymmetric linear systems. Zbl 0474.65019Saad, Y. 147 1981 Variations on Arnoldi’s method for computing eigenelements of large unsymmetric matrices. Zbl 0456.65017Saad, Y. 126 1980 Efficient solution of parabolic equations by Krylov approximation methods. Zbl 0757.65101Gallopoulos, E.; Saad, Y. 124 1992 Convergence theory of nonlinear Newton-Krylov algorithms. Zbl 0814.65048Brown, Peter N.; Saad, Youcef 95 1994 Iterative solution of linear systems in the 20th century. Zbl 0965.65051Saad, Yousef; van der Vorst, Henk A. 84 2000 Two classes of multisecant methods for nonlinear acceleration. Zbl 1224.65134Fang, Haw-ren; Saad, Yousef 76 2009 On the rates of convergence of the Lanczos and the block-Lanczos methods. Zbl 0456.65016Saad, Y. 73 1980 Approximate inverse preconditioners via sparse-sparse iterations. Zbl 0922.65034Chow, Edmond; Saad, Yousef 73 1998 Numerical methods for electronic structure calculations of materials. Zbl 1185.82004Saad, Yousef; Chelikowsky, James R.; Shontz, Suzanne M. 66 2010 Experimental study of ILU preconditioners for indefinite matrices. Zbl 0891.65028Chow, Edmond; Saad, Yousef 62 1997 Deflated and augmented Krylov subspace techniques. Zbl 0889.65028Chapman, A.; Saad, Y. 61 1997 Chebyshev acceleration techniques for solving nonsymmetric eigenvalue problems. Zbl 0539.65013Saad, Youcef 59 1984 The Lanczos biorthogonalization algorithm and other oblique projection methods for solving large unsymmetric systems. Zbl 0483.65022Saad, Y. 58 1982 A deflated version of the conjugate gradient algorithm. Zbl 0955.65021Saad, Y.; Yeung, M.; Erhel, J.; Guyomarc’h, F. 58 2000 Practical use of polynomial preconditionings for the conjugate gradient method. Zbl 0601.65019Saad, Youcef 54 1985 ILUM: A multi-elimination ILU preconditioner for general sparse matrices. Zbl 0858.65029Saad, Y. 48 1996 Dynamic thick restarting of the Davidson, and the implicitly restarted Arnoldi methods. Zbl 0924.65028Stathopoulos, Andreas; Saad, Yousef; Wu, Kesheng 48 1998 Krylov subspace methods on supercomputers. Zbl 0693.65028Saad, Youcef 47 1989 Conjugate gradient-like algorithms for solving nonsymmetric linear systems. Zbl 0566.65019Saad, Youcef; Schultz, Martin H. 47 1985 Self-consistent-field calculations using Chebyshev-filtered subspace iteration. Zbl 1105.65111Zhou, Yunkai; Saad, Yousef; Tiago, Murilo L.; Chelikowsky, James R. 44 2006 On the Lanczos method for solving symmetric linear systems with several right-hand sides. Zbl 0615.65038Saad, Youcef 44 1987 Arnoldi methods for large Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment. Zbl 0734.65037Datta, Biswa Nath; Saad, Youcef 43 1991 Approximate inverse techniques for block-partitioned matrices. Zbl 0888.65035Chow, Edmond; Saad, Yousef 42 1997 Analysis of augmented Krylov subspace methods. Zbl 0871.65026Saad, Yousef 41 1997 ARMS: an algebraic recursive multilevel solver for general sparse linear systems. Zbl 1071.65001Saad, Y.; Suchomel, B. 41 2002 Crout versions of ILU for general sparse matrices. Zbl 1042.65025Li, Na; Saad, Yousef; Chow, Edmond 40 2003 Preconditioning techniques for nonsymmetric and indefinite linear systems. Zbl 0662.65028Saad, Youcef 39 1988 Efficient estimation of eigenvalue counts in an interval. Zbl 1413.65092Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef 34 2016 BILUM: Block versions of multielimination and multilevel ILU preconditioner for general sparse linear systems. Zbl 0956.65026Saad, Yousef; Zhang, Jun 33 1999 An estimator for the diagonal of a matrix. Zbl 1123.65026Bekas, C.; Kokiopoulou, E.; Saad, Y. 33 2007 A parallel block cyclic reduction algorithm for the fast solution of elliptic equations. Zbl 0676.65098Gallopoulos, E.; Saad, Y. 33 1989 Iterative solution of linear equations in ODE codes. Zbl 0541.65051Gear, C. W.; Saad, Y. 32 1983 Approximating spectral densities of large matrices. Zbl 1338.15026Lin, Lin; Saad, Yousef; Yang, Chao 32 2016 Distributed Schur complement techniques for general sparse linear systems. Zbl 0955.65020Saad, Yousef; Sosonkina, Maria 31 2000 Trace optimization and eigenproblems in dimension reduction methods. Zbl 1249.65075Kokiopoulou, E.; Chen, Jie; Saad, Yousef 31 2011 Numerical methods in Markov chain modeling. Zbl 0764.65095Philippe, Bernard; Saad, Youcef; Stewart, William J. 30 1992 A probing method for computing the diagonal of a matrix inverse. Zbl 1274.65132Tang, Jok M.; Saad, Yousef 30 2012 Preconditioning Helmholtz linear systems. Zbl 1190.65048Osei-Kuffuor, Daniel; Saad, Yousef 27 2010 Fast estimation of \(\mathrm{tr}(f(A))\) via stochastic Lanczos quadrature. Zbl 1386.65125Ubaru, Shashanka; Chen, Jie; Saad, Yousef 26 2017 BILUTM: A domain-based multilevel block ILUT preconditioner for general sparse matrices. Zbl 0942.65045Saad, Yousef; Zhang, Jun 26 1999 Projection and deflation methods for partial pole assignment in linear state feedback. Zbl 0641.93031Saad, Youcef 26 1988 A filtered Lanczos procedure for extreme and interior eigenvalue problems. Zbl 1253.65053Fang, Haw-Ren; Saad, Yousef 26 2012 Practical use of some Krylov subspace methods for solving indefinite and nonsymmetric linear systems. Zbl 0539.65012Saad, Youcef 25 1984 Shanks sequence transformations and Anderson acceleration. Zbl 1395.65001Brezinski, Claude; Redivo-Zaglia, Michela; Saad, Yousef 24 2018 Multilevel preconditioners constructed from inverse-based ILUs. Zbl 1104.65037Bollhöfer, Matthias; Saad, Yousef 24 2006 A hybrid Chebyshev Krylov subspace algorithm for solving nonsymmetric systems of linear equations. Zbl 0613.65031Elman, Howard C.; Saad, Youcef; Saylor, Paul E. 24 1986 An arbitrary Lagrangian-Eulerian finite element method for solving three-dimensional free surface flows. Zbl 0948.76043Soulaimani, Azzeddine; Saad, Yousef 23 1998 Numerical solution of large nonsymmetric eigenvalue problems. Zbl 0798.65053Saad, Youcef 21 1989 Restarting techniques for the (Jacobi-)Davidson symmetric eigenvalue method. Zbl 0912.65027Stathopoulos, Andreas; Saad, Yousef 20 1998 Least squares polynomials in the complex plane and their use for solving nonsymmetric linear systems. Zbl 0619.65022Saad, Youcef 20 1987 A Chebyshev-Davidson algorithm for large symmetric eigenproblems. Zbl 1151.65321Zhou, Yunkai; Saad, Yousef 19 2007 On the tensor SVD and the optimal low rank orthogonal approximation of tensors. Zbl 1184.65043Chen, Jie; Saad, Yousef 19 2009 Preconditioning techniques for the solution of the Helmholtz equation by the finite element method. Zbl 1059.65105Kechroud, Riyad; Soulaimani, Azzeddine; Saad, Yousef; Gowda, Shivaraju 19 2004 A thick-restart Lanczos algorithm with polynomial filtering for Hermitian eigenvalue problems. Zbl 1348.65071Li, Ruipeng; Xi, Yuanzhe; Vecharynski, Eugene; Yang, Chao; Saad, Yousef 19 2016 An algebraic multilevel preconditioner with low-rank corrections for sparse symmetric matrices. Zbl 1376.65036Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef 18 2016 High-order ILU preconditioners for CFD problems. Zbl 0959.76077Chapman, Andrew; Saad, Yousef; Wigton, Larry 18 2000 The trace ratio optimization problem. Zbl 1251.65090Ngo, T. T.; Bellalij, M.; Saad, Y. 18 2012 Overlapping domain decomposition algorithms for general sparse matrices. Zbl 0851.65083Cai, Xiao-Chuan; Saad, Yousef 17 1996 pARMS: a parallel version of the algebraic recursive multilevel solver. Zbl 1071.65532Li, Zhongze; Saad, Yousef; Sosonkina, Masha 17 2003 Block Krylov-Schur method for large symmetric eigenvalue problems. Zbl 1153.65330Zhou, Yunkai; Saad, Yousef 16 2008 Solving sparse triangular linear systems on parallel computers. Zbl 0726.65026Anderson, Edward; Saad, Youcef 16 1989 Preconditioned Krylov subspace methods for sampling multivariate Gaussian distributions. Zbl 1296.60087Chow, Edmond; Saad, Yousef 15 2014 On acceleration methods for coupled nonlinear elliptic systems. Zbl 0724.65095Kerkhoven, T.; Saad, Y. 15 1992 Robust preconditioning of large, sparse, symmetric eigenvalue problems. Zbl 0857.65040Stathopoulos, Andreas; Saad, Yousef; Fischer, Charlotte F. 14 1995 Inexact Newton preconditioning techniques for large symmetric eigenvalue problems. Zbl 0916.65035Wu, Kesheng; Saad, Yousef; Stathopoulos, Andreas 14 1998 MIQR: a multilevel incomplete QR preconditioner for large sparse least-squares problems. Zbl 1113.65036Li, Na; Saad, Yousef 14 2006 Complex shift and invert strategies for real matrices. Zbl 0623.65045Parlett, Beresford N.; Saad, Youcef 14 1987 Fast approximate \(k\)NN graph construction for high dimensional data via recursive Lanczos bisection. Zbl 1235.68137Chen, Jie; Fang, Haw-Ren; Saad, Yousef 14 2009 Schur complement-based domain decomposition preconditioners with low-rank corrections. Zbl 1399.65238Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef 14 2016 The trace ratio optimization problem for dimensionality reduction. Zbl 1209.65063Ngo, T. T.; Bellalij, M.; Saad, Y. 13 2010 Divide and conquer low-rank preconditioners for symmetric matrices. Zbl 1362.65036Li, Ruipeng; Saad, Yousef 13 2013 A spectrum slicing method for the Kohn-Sham problem. Zbl 1264.82014Schofield, Grady; Chelikowsky, James R.; Saad, Yousef 13 2012 Incremental incomplete LU factorizations with applications. Zbl 1240.65091Calgaro, Caterina; Chehab, Jean-Paul; Saad, Yousef 13 2010 Solution of large eigenvalue problems in electronic structure calculations. Zbl 0862.65059Saad, Y.; Stathopoulos, A.; Chelikowsky, J.; Wu, K.; Öǧüt, S. 12 1996 On the relations between ILUs and factored approximate inverses. Zbl 1017.65019Bollhöfer, Matthias; Saad, Yousef 12 2002 A greedy strategy for coarse-grid selection. Zbl 1154.65016MacLachlan, S.; Saad, Yousef 12 2007 Low-rank correction methods for algebraic domain decomposition preconditioners. Zbl 1371.65029Li, Ruipeng; Saad, Yousef 12 2017 Chebyshev-filtered subspace iteration method free of sparse diagonalization for solving the Kohn-Sham equation. Zbl 1351.82098Zhou, Yunkai; Chelikowsky, James R.; Saad, Yousef 12 2014 SMASH: structured matrix approximation by separation and hierarchy. Zbl 1513.65128Cai, Difeng; Chow, Edmond; Erlandson, Lucas; Saad, Yousef; Xi, Yuanzhe 11 2018 Electronic structure calculations for plane-wave codes without diagonalization. Zbl 1001.65038Jay, Laurent O.; Kim, Hanchul; Saad, Yousef; Chelikowsky, James R. 11 1999 Iterative solution of indefinite symmetric linear systems by methods using orthogonal polynomials over two disjoint intervals. Zbl 0547.65028Saad, Youcef 11 1983 Multilevel ILU with reorderings for diagonal dominance. Zbl 1091.65034Saad, Yousef 11 2005 Enhanced multi-level block ILU preconditioning strategies for general sparse linear systems. Zbl 1010.65014Saad, Yousef; Zhang, Jun 11 2001 Computing partial spectra with least-squares rational filters. Zbl 1351.65026Xi, Yuanzhe; Saad, Yousef 11 2016 Domain decomposition and multi-level type techniques for general sparse linear systems. Zbl 0909.65020Saad, Yousef; Sosonkina, Maria; Zhang, Jun 10 1998 DQGMRES: a direct quasi-minimal residual algorithm based on incomplete orthogonalization. Zbl 0906.65033Saad, Y.; Wu, K. 10 1996 ILUS: An incomplete LU preconditioner in sparse skyline format. Zbl 0896.76037Chow, Edmond; Saad, Yousef 10 1997 Data communication in parallel architectures. Zbl 0681.68007Saad, Youcef; Schultz, Martin H. 10 1989 A factored approximate inverse preconditioner with pivoting. Zbl 0999.65027Bollhöfer, Matthias; Saad, Yousef 9 2002 Crout versions of ILU factorization with pivoting for sparse symmetric matrices. Zbl 1075.65045Li, Na; Saad, Yousef 9 2005 Graph coarsening: from scientific computing to machine learning. Zbl 1484.65322Chen, Jie; Saad, Yousef; Zhang, Zechen 1 2022 A non-perturbative approach to computing seismic normal modes in rotating planets. Zbl 1489.85001Shi, 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 1506.65003Brezinski, Claude; Cipolla, Stefano; Redivo-Zaglia, Michela; Saad, Yousef 1 2022 Proxy-GMRES: preconditioning via GMRES in polynomial space. Zbl 07382041Ye, Xin; Xi, Yuanzhe; Saad, Yousef 2 2021 A power Schur complement low-rank correction preconditioner for general sparse linear systems. Zbl 07340707Zheng, Qingqing; Xi, Yuanzhe; Saad, Yousef 1 2021 Solving the three-dimensional high-frequency Helmholtz equation using contour integration and polynomial preconditioning. Zbl 1434.65234Liu, Xiao; Xi, Yuanzhe; Saad, Yousef; de Hoop, Maarten V. 7 2020 A rational approximation method for solving acoustic nonlinear eigenvalue problems. Zbl 1464.76086El-Guide, Mohamed; Miȩdlar, Agnieszka; Saad, Yousef 6 2020 Iterative methods for linear systems of equations: a brief historical journey. Zbl 1477.65063Saad, Yousef 3 2020 Multicolor low-rank preconditioner for general sparse linear systems. Zbl 1474.65070Zheng, Qingqing; Xi, Yuanzhe; Saad, Yousef 2 2020 The eigenvalues slicing library (EVSL): algorithms, implementation, and software. Zbl 1420.65050Li, Ruipeng; Xi, Yuanzhe; Erlandson, Lucas; Saad, Yousef 8 2019 Shanks sequence transformations and Anderson acceleration. Zbl 1395.65001Brezinski, Claude; Redivo-Zaglia, Michela; Saad, Yousef 24 2018 SMASH: structured matrix approximation by separation and hierarchy. Zbl 1513.65128Cai, Difeng; Chow, Edmond; Erlandson, Lucas; Saad, Yousef; Xi, Yuanzhe 11 2018 Beyond automated multilevel substructuring: domain decomposition with rational filtering. Zbl 1394.65030Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef 7 2018 Domain decomposition approaches for accelerating contour integration eigenvalue solvers for symmetric eigenvalue problems. Zbl 06986991Kalantzis, Vassilis; Kestyn, James; Polizzi, Eric; Saad, Yousef 6 2018 Phase retrieval via reweighted amplitude flow. Zbl 1415.94269Wang, Gang; Giannakis, Georgios B.; Saad, Yousef; Chen, Jie 6 2018 A hierarchical low rank Schur complement preconditioner for indefinite linear systems. Zbl 1392.65027Dillon, Geoffrey; Kalantzis, Vassilis; Xi, Yuanzhe; Saad, Yousef 5 2018 A posteriori error estimate for computing \(\operatorname{tr}(f(A))\) by using the Lanczos method. Zbl 1513.65127Chen, Jie; Saad, Yousef 2 2018 Fast computation of spectral densities for generalized eigenvalue problems. Zbl 1416.65097Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef 1 2018 Fast estimation of \(\mathrm{tr}(f(A))\) via stochastic Lanczos quadrature. Zbl 1386.65125Ubaru, Shashanka; Chen, Jie; Saad, Yousef 26 2017 Low-rank correction methods for algebraic domain decomposition preconditioners. Zbl 1371.65029Li, Ruipeng; Saad, Yousef 12 2017 A rational function preconditioner for indefinite sparse linear systems. Zbl 1368.65044Xi, Yuanzhe; Saad, Yousef 8 2017 Cucheb: a GPU implementation of the filtered Lanczos procedure. Zbl 1411.65005Aurentz, Jared L.; Kalantzis, Vassilis; Saad, Yousef 2 2017 Fast estimation of approximate matrix ranks using spectral densities. Zbl 1474.68318Ubaru, Shashanka; Saad, Yousef; Seghouane, Abd-Krim 1 2017 Low rank approximation and decomposition of large matrices using error correcting codes. Zbl 1374.94851Ubaru, Shashanka; Mazumdar, Arya; Saad, Yousef 1 2017 Efficient estimation of eigenvalue counts in an interval. Zbl 1413.65092Di Napoli, Edoardo; Polizzi, Eric; Saad, Yousef 34 2016 Approximating spectral densities of large matrices. Zbl 1338.15026Lin, Lin; Saad, Yousef; Yang, Chao 32 2016 A thick-restart Lanczos algorithm with polynomial filtering for Hermitian eigenvalue problems. Zbl 1348.65071Li, Ruipeng; Xi, Yuanzhe; Vecharynski, Eugene; Yang, Chao; Saad, Yousef 19 2016 An algebraic multilevel preconditioner with low-rank corrections for sparse symmetric matrices. Zbl 1376.65036Xi, Yuanzhe; Li, Ruipeng; Saad, Yousef 18 2016 Schur complement-based domain decomposition preconditioners with low-rank corrections. Zbl 1399.65238Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef 14 2016 Computing partial spectra with least-squares rational filters. Zbl 1351.65026Xi, Yuanzhe; Saad, Yousef 11 2016 Spectral Schur complement techniques for symmetric eigenvalue problems. Zbl 1352.65118Kalantzis, Vassilis; Li, Ruipeng; Saad, Yousef 6 2016 Matrix reordering using multilevel graph coarsening for ILU preconditioning. Zbl 1315.65033Osei-Kuffuor, Daniel; Li, Ruipeng; Saad, Yousef 5 2015 Spectral recycling strategies for the solution of nonlinear eigenproblems in thermoacoustics. Zbl 1374.65090Salas, Pablo; Giraud, Luc; Saad, Yousef; Moreau, Stéphane 2 2015 Preconditioned Krylov subspace methods for sampling multivariate Gaussian distributions. Zbl 1296.60087Chow, Edmond; Saad, Yousef 15 2014 Chebyshev-filtered subspace iteration method free of sparse diagonalization for solving the Kohn-Sham equation. Zbl 1351.82098Zhou, Yunkai; Chelikowsky, James R.; Saad, Yousef 12 2014 Graph partitioning using matrix values for preconditioning symmetric positive definite systems. Zbl 1290.65025Vecharynski, Eugene; Saad, Yousef; Sosonkina, Masha 8 2014 Divide and conquer low-rank preconditioners for symmetric matrices. Zbl 1362.65036Li, Ruipeng; Saad, Yousef 13 2013 A probing method for computing the diagonal of a matrix inverse. Zbl 1274.65132Tang, Jok M.; Saad, Yousef 30 2012 A filtered Lanczos procedure for extreme and interior eigenvalue problems. Zbl 1253.65053Fang, Haw-Ren; Saad, Yousef 26 2012 The trace ratio optimization problem. Zbl 1251.65090Ngo, T. T.; Bellalij, M.; Saad, Y. 18 2012 A spectrum slicing method for the Kohn-Sham problem. Zbl 1264.82014Schofield, Grady; Chelikowsky, James R.; Saad, Yousef 13 2012 Modification and compensation strategies for threshold-based incomplete factorizations. Zbl 1241.65032Maclachlan, S.; Osei-Kuffuor, D.; Saad, Yousef 6 2012 Numerical methods for large eigenvalue problems. Revised ed. Zbl 1242.65068Saad, Yousef 270 2011 Trace optimization and eigenproblems in dimension reduction methods. Zbl 1249.65075Kokiopoulou, E.; Chen, Jie; Saad, Yousef 31 2011 Computing \(f(A)b\) via least squares polynomial approximations. Zbl 1234.65027Chen, Jie; Anitescu, Mihai; Saad, Yousef 8 2011 Domain-decomposition-type methods for computing the diagonal of a matrix inverse. Zbl 1232.65048Tang, Jok M.; Saad, Yousef 5 2011 Rational approximation to the Fermi-Dirac function with applications in density functional theory. Zbl 1211.65026Sidje, Roger B.; Saad, Yousef 4 2011 Numerical methods for electronic structure calculations of materials. Zbl 1185.82004Saad, Yousef; Chelikowsky, James R.; Shontz, Suzanne M. 66 2010 Preconditioning Helmholtz linear systems. Zbl 1190.65048Osei-Kuffuor, Daniel; Saad, Yousef 27 2010 The trace ratio optimization problem for dimensionality reduction. Zbl 1209.65063Ngo, T. T.; Bellalij, M.; Saad, Y. 13 2010 Incremental incomplete LU factorizations with applications. Zbl 1240.65091Calgaro, Caterina; Chehab, Jean-Paul; Saad, Yousef 13 2010 Further analysis of the Arnoldi process for eigenvalue problems. Zbl 1210.65085Bellalij, M.; Saad, Y.; Sadok, H. 8 2010 Sparse approximations of the Schur complement for parallel algebraic hybrid solvers in 3D. Zbl 1240.65093Giraud, L.; Haidar, A.; Saad, Y. 5 2010 Computing \(exp(-\tau A) b\) with Laguerre polynomials. Zbl 1205.65165Sheehan, Bernard N.; Saad, Yousef; Sidje, Roger B. 4 2010 Two classes of multisecant methods for nonlinear acceleration. Zbl 1224.65134Fang, Haw-ren; Saad, Yousef 76 2009 On the tensor SVD and the optimal low rank orthogonal approximation of tensors. Zbl 1184.65043Chen, Jie; Saad, Yousef 19 2009 Fast approximate \(k\)NN graph construction for high dimensional data via recursive Lanczos bisection. Zbl 1235.68137Chen, Jie; Fang, Haw-Ren; Saad, Yousef 14 2009 Enhanced graph-based dimensionality reduction with repulsion Laplaceans. Zbl 1176.68182Kokiopoulou, E.; Saad, Y. 3 2009 Block Krylov-Schur method for large symmetric eigenvalue problems. Zbl 1153.65330Zhou, Yunkai; Saad, Yousef 16 2008 Computation of large invariant subspaces using polynomial filtered Lanczos iterations with applications in density functional theory. Zbl 1159.65319Bekas, C.; Kokiopoulou, E.; Saad, Yousef 7 2008 Analysis of some Krylov subspace methods for normal matrices via approximation theory and convex optimization. Zbl 1171.65019Bellalij, M.; Saad, Y.; Sadok, H. 2 2008 An estimator for the diagonal of a matrix. Zbl 1123.65026Bekas, C.; Kokiopoulou, E.; Saad, Y. 33 2007 A Chebyshev-Davidson algorithm for large symmetric eigenproblems. Zbl 1151.65321Zhou, Yunkai; Saad, Yousef 19 2007 A greedy strategy for coarse-grid selection. Zbl 1154.65016MacLachlan, S.; Saad, Yousef 12 2007 On correction equations and domain decomposition for computing invariant subspaces. Zbl 1173.65320Philippe, Bernard; Saad, Yousef 6 2007 Greedy coarsening strategies for nonsymmetric problems. Zbl 1149.65022Maclachlan, Scott; Saad, Yousef 4 2007 Self-consistent-field calculations using Chebyshev-filtered subspace iteration. Zbl 1105.65111Zhou, Yunkai; Saad, Yousef; Tiago, Murilo L.; Chelikowsky, James R. 44 2006 Multilevel preconditioners constructed from inverse-based ILUs. Zbl 1104.65037Bollhöfer, Matthias; Saad, Yousef 24 2006 MIQR: a multilevel incomplete QR preconditioner for large sparse least-squares problems. Zbl 1113.65036Li, Na; Saad, Yousef 14 2006 A parallel multistage ILU factorization based on a hierarchical graph decomposition. Zbl 1126.65028Hénon, Pascal; Saad, Yousef 9 2006 SchurRAS: A restricted version of the overlapping Schur complement preconditioner. Zbl 1099.65034Li, Zhongze; Saad, Yousef 4 2006 Filtered conjugate residual-type algorithms with applications. Zbl 1120.65046Saad, Yousef 4 2006 Multilevel ILU with reorderings for diagonal dominance. Zbl 1091.65034Saad, Yousef 11 2005 Crout versions of ILU factorization with pivoting for sparse symmetric matrices. Zbl 1075.65045Li, Na; Saad, Yousef 9 2005 Computation of smallest eigenvalues using spectral Schur complements. Zbl 1091.65035Bekas, Constantine; Saad, Yousef 9 2005 Efficient computation of the coupling matrix in time-dependent density functional theory. Zbl 1196.65188De 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 1059.65105Kechroud, Riyad; Soulaimani, Azzeddine; Saad, Yousef; Gowda, Shivaraju 19 2004 Variations on algebraic recursive multilevel solvers (ARMS) for the solution of CFD problems. Zbl 1112.76054Saad, Yousef; Soulaimani, Azzeddine; Touihri, Ridha 3 2004 Iterative methods for sparse linear systems. 2nd ed. Zbl 1031.65046Saad, Yousef 1,094 2003 Crout versions of ILU for general sparse matrices. Zbl 1042.65025Li, Na; Saad, Yousef; Chow, Edmond 40 2003 pARMS: a parallel version of the algebraic recursive multilevel solver. Zbl 1071.65532Li, Zhongze; Saad, Yousef; Sosonkina, Masha 17 2003 Finding exact and approximate block structures for ILU preconditioning. Zbl 1034.65020Saad, Yousef 6 2003 Block LU preconditioners for symmetric and nonsymmetric saddle point problems. Zbl 1042.65026Little, Leigh; Saad, Yousef; Smoch, Laurent 4 2003 Block preconditioners for saddle point problems. Zbl 1030.65036Little, Leigh; Saad, Yousef 2 2003 ARMS: an algebraic recursive multilevel solver for general sparse linear systems. Zbl 1071.65001Saad, Y.; Suchomel, B. 41 2002 On the relations between ILUs and factored approximate inverses. Zbl 1017.65019Bollhöfer, Matthias; Saad, Yousef 12 2002 A factored approximate inverse preconditioner with pivoting. Zbl 0999.65027Bollhöfer, Matthias; Saad, Yousef 9 2002 Enhanced GMRES acceleration techniques for some CFD problems. Zbl 1007.76071Souläimani, Azzeddine; Ben Salah, Nizar; Saad, Yousef 6 2002 pARMS: A package for solving general sparse linear systems on parallel computers. Zbl 1057.65523Saad, Y.; Sosonkina, M. 2 2002 Parallel iterative methods for sparse linear systems. Zbl 1002.65042Saad, Y. 1,699 2001 Enhanced multi-level block ILU preconditioning strategies for general sparse linear systems. Zbl 1010.65014Saad, Yousef; Zhang, Jun 11 2001 An edge-based stabilized finite element method for solving compressible flows: formulation and parallel implementation. Zbl 1116.76391Soulaimani, Azzeddine; Saad, Yousef; Rebaine, Ali 4 2001 Iterative solution of linear systems in the 20th century. Zbl 0965.65051Saad, Yousef; van der Vorst, Henk A. 84 2000 A deflated version of the conjugate gradient algorithm. Zbl 0955.65021Saad, Y.; Yeung, M.; Erhel, J.; Guyomarc’h, F. 58 2000 Distributed Schur complement techniques for general sparse linear systems. Zbl 0955.65020Saad, Yousef; Sosonkina, Maria 31 2000 High-order ILU preconditioners for CFD problems. Zbl 0959.76077Chapman, Andrew; Saad, Yousef; Wigton, Larry 18 2000 Further analysis of minimum residual iterations. Zbl 0983.65035Saad, Yousef 5 2000 Preconditioning strategies for linear systems arising in tire design. Zbl 1051.65060Sosonkina, 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 0956.65026Saad, Yousef; Zhang, Jun 33 1999 BILUTM: A domain-based multilevel block ILUT preconditioner for general sparse matrices. Zbl 0942.65045Saad, Yousef; Zhang, Jun 26 1999 ...and 79 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,515 Authors 79 Reichel, Lothar 70 Tezduyar, Tayfun E. 64 Saad, Yousef 62 Huang, Ting-Zhu 46 Axelsson, Axel Owe Holger 45 Khojasteh Salkuyeh, Davod 43 Vuik, Cornelis 38 Zhang, Guofeng 38 Zhang, Jun 37 Jia, Zhongxiao 36 Jbilou, Khalide 36 Simoncini, Valeria 35 Cai, Xiao-Chuan 34 Toutounian, Faezeh 33 Takizawa, Kenji 32 Benzi, Michele 32 Gu, Xian-Ming 31 Bai, Zhongzhi 29 Antoine, Xavier 29 Bazilevs, Yuri 29 Hughes, Thomas J. R. 29 Knoll, Dana A. 27 Liang, Zhaozheng 27 Sadok, Hassane 26 Cao, Yang 26 Ferronato, Massimiliano 26 Wathen, Andrew John 25 Mohanty, Ranjan Kumar 24 Carpentieri, Bruno 23 Li, Rencang 23 Stoll, Martin 23 Szyld, Daniel B. 23 Wu, Gang 23 Yang, Haijian 22 Elman, Howard C. 22 Ma, Changfeng 22 Wu, Shiliang 21 Niu, Qiang 20 Nataf, Frédéric 20 Van der Vorst, Henk Albertus 20 Wei, Yimin 19 Bochev, M. A. 19 Chacón, Luis 19 Jing, Yanfei 19 Liu, Jun 19 Quarteroni, Alfio M. 19 Serra-Capizzano, Stefano 19 Wu, Yujiang 18 Beik, Fatemeh Panjeh Ali 18 Helsing, Johan 18 Janna, Carlo 18 Keyes, David Elliot 18 Pini, Giorgio 18 Shadid, John N. 18 Xi, Yuanzhe 18 Yang, Chao 18 Ying, Wenjun 18 Zhang, Lei-Hong 17 Benner, Peter 17 Bergamaschi, Luca 17 Calvetti, Daniela 17 Gómez, Héctor J. 17 Grigori, Laura 17 Gu, Tongxiang 17 Il’in, Valeriĭ Pavlovich 17 Li, Shuwang 17 Novati, Paolo 17 Sleijpen, Gerard L. G. 17 Sun, Haiwei 17 Tchelepi, Hamdi A. 16 Castelletto, Nicola 16 Darve, Eric 16 Gravvanis, George A. 16 Hayami, Ken 16 Hwang, Fengnan 16 Li, Cuixia 16 Mittal, Sanjay 16 Neytcheva, Maya G. 16 Van Gijzen, Martin Bastiaan 16 Wen, Chun 16 Wu, Qingbiao 16 Ying, Lexing 15 Brezinski, Claude 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 Sadkane, Miloud 15 Tůma, Miroslav 15 Yang, Aili 15 Ye, Qiang 15 Zhang, Shao-Liang 14 Behr, Marek A. 14 Cao, Zhihao 14 Frommer, Andreas 14 Gu, Chuanqing ...and 9,415 more Authors all top 5 Cited in 457 Serials 812 Journal of Computational Physics 481 Journal of Computational and Applied Mathematics 407 Computer Methods in Applied Mechanics and Engineering 291 Computers & Mathematics with Applications 282 SIAM Journal on Scientific Computing 264 Applied Mathematics and Computation 219 Applied Numerical Mathematics 215 Linear Algebra and its Applications 205 Numerical Algorithms 174 Computers and Fluids 172 Numerical Linear Algebra with Applications 158 Journal of Scientific Computing 135 BIT 122 SIAM Journal on Matrix Analysis and Applications 116 International Journal for Numerical Methods in Engineering 113 Engineering Analysis with Boundary Elements 102 International Journal of Computer Mathematics 93 Computational Mechanics 86 Computer Physics Communications 70 International Journal for Numerical Methods in Fluids 69 Numerische Mathematik 66 Journal of Fluid Mechanics 62 Computational and Applied Mathematics 52 Mathematics of Computation 50 Applied Mathematics Letters 50 Advances in Computational Mathematics 44 ETNA. 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(English Edition) 9 Russian Journal of Numerical Analysis and Mathematical Modelling 9 Parallel Algorithms and Applications 9 SIAM/ASA Journal on Uncertainty Quantification 8 Bulletin of Mathematical Biology 8 Information Sciences 8 Systems & Control Letters 8 Annals of Operations Research 8 Optimization Letters 8 Results in Applied Mathematics 7 International Journal for Numerical and Analytical Methods in Geomechanics 7 International Journal of Solids and Structures 7 Journal of the Franklin Institute 7 Journal of Mathematical Analysis and Applications 7 Mathematical Biosciences 7 Parallel Computing ...and 357 more Serials all top 5 Cited in 54 Fields 5,558 Numerical analysis (65-XX) 1,696 Fluid mechanics (76-XX) 1,234 Partial differential equations (35-XX) 659 Mechanics of deformable solids (74-XX) 651 Linear and multilinear algebra; matrix theory (15-XX) 346 Operations research, mathematical programming (90-XX) 285 Computer science (68-XX) 266 Optics, electromagnetic theory (78-XX) 219 Biology and other natural sciences (92-XX) 185 Calculus of variations and optimal control; optimization (49-XX) 173 Statistical mechanics, structure of matter (82-XX) 159 Ordinary differential equations (34-XX) 151 Systems theory; control (93-XX) 141 Geophysics (86-XX) 131 Statistics (62-XX) 124 Classical thermodynamics, heat transfer (80-XX) 115 Probability theory and stochastic processes (60-XX) 110 Quantum theory (81-XX) 102 Information and communication theory, circuits (94-XX) 91 Integral equations (45-XX) 84 Operator theory (47-XX) 68 Combinatorics (05-XX) 55 Dynamical systems and ergodic theory (37-XX) 50 Approximations and expansions (41-XX) 49 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Mechanics of particles and systems (70-XX) 28 Real functions (26-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 20 Potential theory (31-XX) 18 Functions of a complex variable (30-XX) 17 Astronomy and astrophysics (85-XX) 13 Special functions (33-XX) 12 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) 6 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 Measure and integration (28-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Manifolds and cell complexes (57-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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