# Yousef Saad

Algerian mathematician

## Yousef Saad's AcademicInfluence.com Rankings

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Mathematics

## Why Is Yousef Saad Influential?

(Suggest an Edit or Addition)According to Wikipedia, Yousef Saad in Algiers, Algeria from Boghni, Tizi Ouzou, Kabylia is an I.T. Distinguished Professor of Computer Science in the Department of Computer Science and Engineering at the University of Minnesota. He holds the William Norris Chair for Large-Scale Computing since January 2006. He is known for his contributions to the matrix computations, including the iterative methods for solving large sparse linear algebraic systems, eigenvalue problems, and parallel computing. He is listed as an ISI highly cited researcher in mathematics, is the most cited author in the journal Numerical Linear Algebra with Applications, and is the author of the highly cited book Iterative Methods for Sparse Linear Systems. He is a SIAM fellow and a fellow of the AAAS .

## Yousef Saad's Published Works

### Published Works

- Iterative methods for sparse linear systems (2003) (13799)
- A Flexible Inner-Outer Preconditioned GMRES Algorithm (1993) (1449)
- Topological properties of hypercubes (1988) (1327)
- Hybrid Krylov Methods for Nonlinear Systems of Equations (1990) (794)
- ILUT: A dual threshold incomplete LU factorization (1994) (730)
- Analysis of some Krylov subspace approximations to the matrix exponential operator (1992) (672)
- Numerical Methods for Large Eigenvalue Problems: Revised Edition (2011) (568)
- Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices (1980) (551)
- Krylov subspace methods for solving large unsymmetric linear systems (1981) (485)
- Iterative solution of linear systems in the 20th century (2000) (481)
- Efficient Solution of Parabolic Equations by Krylov Approximation Methods (1992) (360)
- GPU-accelerated preconditioned iterative linear solvers (2013) (303)
- Orthogonal Neighborhood Preserving Projections: A Projection-Based Dimensionality Reduction Technique (2007) (295)
- Approximate Inverse Preconditioners via Sparse-Sparse Iterations (1998) (288)
- Experimental study of ILU preconditioners for indefinite matrices (1997) (268)
- Two classes of multisecant methods for nonlinear acceleration (2009) (266)
- On the Rates of Convergence of the Lanczos and the Block-Lanczos Methods (1980) (266)
- Numerical Methods for Electronic Structure Calculations of Materials (2010) (257)
- PARSEC – the pseudopotential algorithm for real‐space electronic structure calculations: recent advances and novel applications to nano‐structures (2006) (254)
- Fast Approximate kNN Graph Construction for High Dimensional Data via Recursive Lanczos Bisection (2009) (249)
- Dense Subgraph Extraction with Application to Community Detection (2012) (229)
- Deflated and Augmented Krylov Subspace Techniques (1997) (225)
- Turbo charging time-dependent density-functional theory with Lanczos chains. (2006) (213)
- A Deflated Version of the Conjugate Gradient Algorithm (1999) (213)
- Convergence Theory of Nonlinear Newton-Krylov Algorithms (1994) (206)
- The Lanczos Biorthogonalization Algorithm and Other Oblique Projection Methods for Solving Large Unsymmetric Systems (1982) (196)
- Trace optimization and eigenproblems in dimension reduction methods (2011) (192)
- An estimator for the diagonal of a matrix (2007) (176)
- Data communication in parallel architectures (1989) (174)
- Distributed Schur Complement Techniques for General Sparse Linear Systems (1999) (166)
- ARMS: an algebraic recursive multilevel solver for general sparse linear systems (2002) (159)
- Multigrid Algorithms on the Hypercube Multiprocessor (1986) (153)
- ILUM: A Multi-Elimination ILU Preconditioner for General Sparse Matrices (1996) (153)
- Self-consistent-field calculations using Chebyshev-filtered subspace iteration (2006) (149)
- Solving Sparse Triangular Linear Systems on Parallel Computers (1989) (145)
- Multilevel Preconditioners Constructed From Inverse-Based ILUs (2005) (143)
- pARMS: a parallel version of the algebraic recursive multilevel solver (2003) (139)
- Preconditioning techniques for nonsymmetric and indefinite linear systems (1988) (139)
- Efficient estimation of eigenvalue counts in an interval (2013) (138)
- Data Communication in Hypercubes (1989) (137)
- Approximating Spectral Densities of Large Matrices (2013) (137)
- Dynamic Thick Restarting of the Davidson, and the Implicitly Restarted Arnoldi Methods (1998) (134)
- Iterative Solution of Linear Equations in ODE Codes (1983) (132)
- Arnoldi methods for large Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment (1991) (131)
- Fast Estimation of tr(f(A)) via Stochastic Lanczos Quadrature (2017) (130)
- Analysis of Augmented Krylov Subspace Methods (1997) (130)
- Crout Versions of ILU for General Sparse Matrices (2003) (126)
- Parallel self-consistent-field calculations via Chebyshev-filtered subspace acceleration. (2006) (121)
- A probing method for computing the diagonal of a matrix inverse (2012) (121)
- Approximate Inverse Techniques for Block-Partitioned Matrices (1997) (119)
- A spectrum slicing method for the Kohn-Sham problem (2012) (113)
- On the Tensor SVD and the Optimal Low Rank Orthogonal Approximation of Tensors (2008) (106)
- BILUM: Block Versions of Multielimination and Multilevel ILU Preconditioner for General Sparse Linear Systems (1999) (106)
- Scaled Gradients on Grassmann Manifolds for Matrix Completion (2012) (105)
- Orthogonal neighborhood preserving projections (2005) (91)
- BILUTM: A Domain-Based Multilevel Block ILUT Preconditioner for General Sparse Matrices (1999) (90)
- Overlapping Domain Decomposition Algorithms for General Sparse Matrices (1996) (86)
- Numerical Methods in Markov Chain Modeling (1992) (80)
- A Filtered Lanczos Procedure for Extreme and Interior Eigenvalue Problems (2012) (78)
- Data mining for materials: Computational experiments with AB compounds (2012) (76)
- Preconditioned Krylov Subspace Methods for Sampling Multivariate Gaussian Distributions (2014) (75)
- On the parallel solution of parabolic equations (1989) (74)
- Evolution of magnetism in iron from the atom to the bulk. (2006) (74)
- The Trace Ratio Optimization Problem (2012) (73)
- Numerical methods for large eigenvalue problems : theory and algorithms (1992) (72)
- Alternating direction methods on multiprocessors (1987) (71)
- Preconditioning Helmholtz linear systems (2010) (71)
- Higher Order Orthogonal Iteration of Tensors (HOOI) and its Relation to PCA and GLRAM (2007) (65)
- An arbitrary Lagrangian-Eulerian finite element method for solving three-dimensional free surface flows (1998) (65)
- Solution of large eigenvalue problems in electronic structure calculations (1996) (65)
- Phase Retrieval via Reweighted Amplitude Flow (2018) (65)
- A Parallel Multistage ILU Factorization Based on a Hierarchical Graph Decomposition (2006) (64)
- Krylov subspace methods for computing hydrodynamic interactions in brownian dynamics simulations. (2012) (61)
- High-order ILU preconditioners for CFD problems (2000) (61)
- A Chebyshev-Davidson Algorithm for Large Symmetric Eigenproblems (2007) (61)
- Restarting techniques for the (Jacobi-)Davidson symmetric eigenvalue methods (1998) (60)
- P-Sparslib: A Portable Library Of Distributed Memory Sparse Iterative Solvers (1995) (59)
- Parallel methods and tools for predicting material properties (2000) (56)
- Computation of Smallest Eigenvalues using Spectral Schur Complements (2005) (55)
- Shanks Sequence Transformations and Anderson Acceleration (2018) (54)
- A Thick-Restart Lanczos Algorithm with Polynomial Filtering for Hermitian Eigenvalue Problems (2015) (54)
- Chebyshev-filtered subspace iteration method free of sparse diagonalization for solving the Kohn-Sham equation (2014) (54)
- On the Relations between ILUs and Factored Approximate Inverses (2002) (54)
- Preconditioning techniques for the solution of the Helmholtz equation by the finite element method (2003) (53)
- Highly Parallel Preconditioners for General Sparse Matrices (1994) (53)
- Robust preconditioning of large, sparse, symmetric eigenvalue problems (1995) (53)
- Multilevel ILU With Reorderings for Diagonal Dominance (2005) (52)
- Approximate inverse preconditioners for general sparse matrices (1994) (51)
- Block Krylov–Schur method for large symmetric eigenvalue problems (2008) (50)
- Heuristic Algorithms for Automatic Graph Partitioning (1995) (49)
- Ab initio calculations for large dielectric matrices of confined systems. (2003) (49)
- Parallel Algorithms for Irregularly Structured Problems (1995) (49)
- A parallel block cyclic reduction algorithm for the fast solution of elliptic equations (1987) (44)
- DQGMRES: a Direct Quasi-minimal Residual Algorithm Based on Incomplete Orthogonalization (1996) (43)
- Polynomial filtering in latent semantic indexing for information retrieval (2004) (43)
- Lanczos Vectors versus Singular Vectors for Effective Dimension Reduction (2009) (43)
- Computing f(A)b via Least Squares Polynomial Approximations (2011) (42)
- Fast methods for estimating the Numerical rank of large matrices (2016) (42)
- Electronic Structure Methods for Predicting the Properties of Materials: Grids in Space (2000) (41)
- Electronic structure calculations for plane-wave codes without diagonalization (1999) (41)
- Inexact newton preconditioning techniques for large symmetric eigenvalue problems (1998) (39)
- The Trace Ratio Optimization Problem for Dimensionality Reduction (2010) (39)
- Crout versions of ILU factorization with pivoting for sparse symmetric matrices. (2005) (38)
- An Algebraic Multilevel Preconditioner with Low-Rank Corrections for Sparse Symmetric Matrices (2016) (37)
- Exploiting Capabilities of Many Core Platforms in Reservoir Simulation (2011) (36)
- A Greedy Strategy for Coarse-Grid Selection (2007) (35)
- Enhanced multi-level block ILU preconditioning strategies for general sparse linear systems (2001) (35)
- Efficient Algorithms for Estimating the Absorption Spectrum within Linear Response TDDFT. (2015) (35)
- SMASH: Structured matrix approximation by separation and hierarchy (2017) (35)
- Enhanced GMRES Acceleration Techniques for some CFD Problems (2002) (33)
- MIQR: A Multilevel Incomplete QR Preconditioner for Large Sparse Least-Squares Problems (2006) (33)
- Divide and Conquer Low-Rank Preconditioners for Symmetric Matrices (2013) (33)
- Filtered Conjugate Residual-type Algorithms with Applications (2006) (33)
- The Eigenvalues Slicing Library (EVSL): Algorithms, Implementation, and Software (2018) (33)
- Preconditioned Krylov Subspace Methods For CFD Applications (1995) (32)
- PFEAST: A High Performance Sparse Eigenvalue Solver Using Distributed-Memory Linear Solvers (2016) (31)
- Parallel implementation of time-dependent density functional theory☆ (2003) (31)
- Computation of Large Invariant Subspaces Using Polynomial Filtered Lanczos Iterations with Applications in Density Functional Theory (2008) (31)
- Schur complement‐based domain decomposition preconditioners with low‐rank corrections (2015) (31)
- Preconditioned Krylov Subspace Methods for the Numerical Solution of Markov Chains (1995) (31)
- Enhanced graph-based dimensionality reduction with repulsion Laplaceans (2009) (30)
- Finding Exact and Approximate Block Structures for ILU Preconditioning (2002) (30)
- Diagonal threshold techniques in robust multi-level ILU preconditioners for general sparse linear systems (1999) (29)
- Computing Partial Spectra with Least-Squares Rational Filters (2016) (29)
- Iterative solution of general sparse linear systems on clusters of workstations (1996) (28)
- Algorithms for predicting the structural properties of clusters (1995) (28)
- ILUS: An incomplete LU preconditioner in sparse skyline format (1997) (28)
- BILUM : Block versions of multi-elimination ILU preconditioner for general sparse linear systems (1999) (27)
- Applications of Trace Estimation Techniques (2017) (27)
- Solving Most Systems of Random Quadratic Equations (2017) (26)
- Parallel Iterative Methods for Sparse Linear Systems (2001) (26)
- Low-Rank Correction Methods for Algebraic Domain Decomposition Preconditioners (2015) (26)
- Computing charge densities with partially reorthogonalized Lanczos (2005) (26)
- Domain Decomposition and MultiLevel Type Techniques for General Sparse Linear Systems (1997) (25)
- Graph Partitioning Using Matrix Values for Preconditioning Symmetric Positive Definite Systems (2011) (24)
- SPARK: a benchmark package for sparse computations (1990) (24)
- Domain-Decomposition-Type Methods for Computing the Diagonal of a Matrix Inverse (2011) (23)
- Solving Almost all Systems of Random Quadratic Equations (2017) (23)
- Incremental incomplete LU factorizations with applications (2010) (22)
- Analysis of Subspace Iteration for Eigenvalue Problems with Evolving Matrices (2016) (22)
- Preconditioning the Matrix Exponential Operator with Applications (1998) (22)
- Rational approximation to the Fermi–Dirac function with applications in density functional theory (2011) (22)
- Non-standard Parallel Solution Strategies for Distributed Sparse Linear Systems (1999) (21)
- Block LU Preconditioners for Symmetric and Nonsymmetric Saddle Point Problems (2003) (21)
- Harnessing molecular excited states with Lanczos chains (2010) (21)
- Further Analysis of the Arnoldi Process for Eigenvalue Problems (2010) (20)
- Krylov subspace techniques, conjugate gradients, preconditioning and sparse matrix solvers (1994) (19)
- A benchmark package for sparse matrix computations (1988) (19)
- Graph-Based Multilevel Dimensionality Reduction with Applications to Eigenfaces and Latent Semantic Indexing (2008) (19)
- On correction equations and domain decomposition for computing invariant subspaces (2007) (19)
- High-Performance Scientific Computing (2012) (19)
- pARMS : A Package for the Parallel Iterative Solution of General Large Sparse Linear System ∗ User ’ s Guide (2006) (18)
- Formation enthalpies for transition metal alloys using machine learning (2017) (18)
- An Edge Based Stabilized Finite Element Method For Solving Compressible Flows: Formulation and Paral (2001) (18)
- Cucheb: A GPU implementation of the filtered Lanczos procedure (2017) (18)
- Sparse approximations of the Schur complement for parallel algebraic hybrid solvers in 3D (2010) (17)
- Fast Estimation of Approximate Matrix Ranks Using Spectral Densities (2016) (17)
- A Factored Approximate Inverse Preconditioner with Pivoting (2001) (17)
- Design of an iterative solution module for a parallel sparse matrix library (P_SPARSLIB) (1995) (17)
- Matrix Reordering Using Multilevel Graph Coarsening for ILU Preconditioning (2013) (17)
- A Rational Function Preconditioner For Indefinite Sparse Linear Systems (2017) (17)
- Improving the Incoherence of a Learned Dictionary via Rank Shrinkage (2017) (16)
- Efficient first-principles calculations of the electronic structure of periodic systems (2007) (16)
- SchurRAS: A Restricted Version of the Overlapping Schur Complement Preconditioner (2005) (16)
- Domain decomposition approaches for accelerating contour integration eigenvalue solvers for symmetric eigenvalue problems (2018) (16)
- Vibrational modes of silicon nanostructures (1995) (16)
- Solving Elliptic Difference Equations on a Linear Array of Processors (1985) (15)
- High performance manycore solvers for reservoir simulation (2010) (15)
- Graph coarsening: from scientific computing to machine learning (2021) (15)
- Iterative methods for linear systems of equations: A brief historical journey (2019) (15)
- Computing Planetary Interior Normal Modes with a Highly Parallel Polynomial Filtering Eigensolver (2018) (15)
- Multilevel manifold learning with application to spectral clustering (2010) (15)
- Fast Computation of Spectral Densities for Generalized Eigenvalue Problems (2017) (15)
- Spectral Schur complement techniques for symmetric Eigenvalue problems (2016) (15)
- Acceleration techniques for decoupling algorithms in semiconductor simulation (1987) (15)
- Farthest Centroids Divisive Clustering (2008) (14)
- Solving elliptic partial differential equations on the hypercube multiprocessor (1987) (14)
- PSPARSLIB Users Manual: A Portable Library of parallel Sparse Iterative Solvers (1998) (14)
- Using the parallel algebraic recursive multilevel solver in modern physical applications (2004) (14)
- Distributed ILU(0) and SOR Preconditioners for Unstructured Sparse Linear Systems (1998) (14)
- Least-Squares Polynomial Filters for Ill-Conditioned Linear Systems (2001) (14)
- Partial Eigensolutions of Large Nonsymmetric Matrices. (1985) (14)
- Further analysis of minimum residual iterations (2000) (13)
- Sparse approximations of the Schur complement for parallel algebraic hybrid linear solvers in 3D (2010) (13)
- Preserving Symmetry in Preconditioned Krylov Subspace Methods (1998) (12)
- Computer Vision and Action Recognition A Guide for Image Processing and Computer Vision Community for Action Understanding (2012) (12)
- 1. Background in Matrix Theory and Linear Algebra (2011) (12)
- A PARALLEL BLOCK STIEFEL METHOD FOR SOLVING POSITIVE DEFINITE SYSTEMS (1981) (11)
- Prewhitening High-Dimensional fMRI Data Sets Without Eigendecomposition (2014) (11)
- Efficient Parallel Solution of Parabolic Equations: Implicit Methods on the Cedar Multicluster (1989) (11)
- Beyond Automated Multilevel Substructuring: Domain Decomposition with Rational Filtering (2018) (11)
- Sparse Matrix Computations on the CM-5 (1993) (11)
- BASIC SPARSE MATRIX COMPUTATIONS ON THE CM-5 (1993) (11)
- Enhanced Preconditioners for Large Sparse Least SquaresProblems (2001) (11)
- Low Rank Approximation using Error Correcting Coding Matrices (2015) (10)
- Greedy Coarsening Strategies for Nonsymmetric Problems (2007) (10)
- Robust preconditioning for sparse linear systems (1997) (10)
- Using real space pseudopotentials for the electronic structure problem (2003) (10)
- Diagonalization methods in PARSEC (2006) (10)
- 10. Preconditioning Techniques (2003) (10)
- Modification and Compensation Strategies for Threshold-based Incomplete Factorizations (2012) (10)
- Preconditioned Conjugate Gradient Methods for General Sparse Matrices on Shared Memory Machines (1987) (10)
- Low Rank Approximation and Decomposition of Large Matrices Using Error Correcting Codes (2015) (10)
- A Hierarchical Low Rank Schur Complement Preconditioner for Indefinite Linear Systems (2018) (10)
- Electronic Structure of Clusters and Nanocrystals (2004) (10)
- Solving the Three-Dimensional High-frequency Helmholtz Equation Using Contour Integration and Polynomial Preconditioning (2020) (9)
- Solution of Distributed Sparse Linear Systems Using PSPARSLIB (1998) (9)
- Algorithms for the electronic and vibrational properties of nanocrystals (2009) (9)
- pARMS: A Package for Solving General Sparse Linear Systems on Parallel Computers (2001) (9)
- A scalable iterative dense linear system solver for multiple right-hand sides in data analytics (2018) (9)
- INCREMENTAL INCOMPLETE LU FACTORIZATIONS WITH APPLICATIONS TO TIME-DEPENDENT PDES (2008) (9)
- Enhanced Parallel Multicolor Preconditioning Techniques for Linear Systems (1999) (9)
- Spectral recycling strategies for the solution of nonlinear eigenproblems in thermoacoustics (2015) (9)
- Variations on algebraic recursive multilevel solvers (ARMS) for the solution of CFD problems (2004) (9)
- Computing exp(-tou;A)b with laguerre polynomials (2010) (9)
- On the condition number of some gram matrices arising from least squares approximation in the complex plane (1986) (8)
- Polynomial filtered Lanczos iterations with applications in Density Functional Theory (2005) (8)
- A rational approximation method for solving acoustic nonlinear eigenvalue problems (2019) (8)
- Algorithms for the evolution of electronic properties in nanocrystals (2007) (8)
- PCA and kernel PCA using polynomial filtering: a case study on face recognition (2005) (8)
- Pseudopotentials on grids: Application to the electronic, optical, and vibrational properties of silicon nanocrystals (2009) (8)
- Component‐based iterative methods for sparse linear systems (2007) (8)
- Nonlinear Krylov acceleration for CFD-based aeroelasticity (2009) (8)
- Shanks and Anderson-type acceleration techniques for systems of nonlinear equations (2020) (8)
- Application of Krylov exponential propagation to fluid dynamics equations (1991) (7)
- Parallel Solution of General Sparse Linear Systems (1997) (7)
- Solving the 3D High-Frequency Helmholtz Equation using Contour Integration and Polynomial Preconditioning (2018) (7)
- Face recognition using OPRA-faces (2005) (7)
- Fast Updating Algorithms for Latent Semantic Indexing (2013) (7)
- Computing Exp(−τ A)b with Laguerre Polynomials * (2010) (7)
- PSPARSLIB: A Portable Library of Parallel Sparse Iterative Solvers (1997) (7)
- A rational approximation method for the nonlinear eigenvalue problem. (2019) (7)
- Data Structures, Computational, and Communication Kernels for Distributed Memory Sparse Iterative Solvers (1995) (6)
- Efficient computation of the coupling matrix in time-dependent density functional theory (2005) (6)
- Analysis of some Krylov subspace methods for normal matrices via approximation theory and convex optimization (2008) (6)
- A PARALLEL MULTILEVEL ILU FACTORIZATION BASED ON A HIERARCHICAL GRAPH DECOMPOSITION (6)
- A comparison of preconditioners for complex-valued matrices (2007) (6)
- Parallel Numerical Computing from Illiac IV to Exascale - The Contributions of Ahmed H. Sameh (2012) (6)
- High Performance Complete and Incomplete Factorizations for Very Large Sparse Systems by using Scotch and PaStiX softwares (2004) (6)
- Preconditioned Krylov subspace methods for eigenvalue problems (1996) (6)
- Calculating large systems with plane waves: Is it a N3 or N2 scaling problem? (1995) (6)
- Block Preconditioners for Saddle Point Problems (2003) (6)
- ON THE CONVERGENCE OF THE ARNOLDI PROCESS FOR EIGENVALUE PROBLEMS (2007) (6)
- Divide and Conquer Strategies for Effective Information Retrieval (2009) (6)
- Numerical investigations of turbulent natural convection heat transfer within a wind turbine nacelle operating in hot climate (2020) (6)
- Atoms and Clusters (2006) (6)
- Thick restarting of the Davidson method: An extension to implicit restarting (1996) (6)
- Supercomputer Implementations of Preconditioned Krylov Subspace Methods (1993) (6)
- Parallelization of the Edge Based Stabilized Finite Element Method (2000) (5)
- Spectrum-adapted Polynomial Approximation for Matrix Functions (2018) (5)
- Rational Approximation Preconditioners for General Sparse Linear Systems (1999) (5)
- Proceedings of the Third International Workshop on Parallel Algorithms for Irregularly Structured Problems (1996) (5)
- Sampling and multilevel coarsening algorithms for fast matrix approximations (2017) (5)
- PCA without eigenvalue calculations: a case study on face recognition (2005) (5)
- Preconditioning strategies for linear systems arising in tire design (2000) (5)
- Parallel Approximate Inverse Preconditioners (1997) (5)
- On the design of parallel numerical methods in message passing and shared memory environments (1987) (5)
- Modified Krylov acceleration for parallel environments (1999) (5)
- A power Schur complement Low-Rank correction preconditioner for general sparse linear systems (2020) (4)
- Non-Hermitian Eigenvalue Problems (2000) (4)
- 4. Basic Iterative Methods (2003) (4)
- ILUs and Factorized Approximate Inverses are Strongly Related. Part I: Overview of Results (2000) (4)
- Hypergraph-based multilevel matrix approximation for text information retrieval (2010) (4)
- Schur Complement Preconditioners for Distributed General Sparse Linear Systems (2007) (4)
- Basic Sparse Matrix Computations on Massively Parallel Computers (1993) (4)
- Preconditionning Techniques for the Solution of the Helmholtz Equation by the Finite Element Method (2003) (4)
- Some Fast Elliptic Solvers on Parallel Architectures and their Complexities (1989) (3)
- Low-rank Label Propagation for Semi-supervised Learning with 100 Millions Samples (2017) (3)
- Atomic and electronic structure of germanium clusters at finite temperature using finite difference methods (1995) (3)
- A posteriori error estimate for computing tr(f(A)) by using the Lanczos method (2018) (3)
- LEAST-SQUARES RATIONAL FILTERS FOR THE SOLUTION OF INTERIOR EIGENVALUE PROBLEMS (2015) (3)
- Linear system solution by null‐space approximation and projection (SNAP) (2007) (3)
- Multilevel nonlinear dimensionality reduction for manifold learning (2009) (3)
- Find the dimension that counts: Fast dimension estimation and Krylov PCA (2018) (3)
- PRECONDITIONING VIA GMRES IN POLYNOMIAL SPACE ∗ (2019) (3)
- 6. Krylov Subspace Methods, Part I (2003) (3)
- Adapting Algebraic Recursive Multilevel Solvers ( ARMS ) for solving CFD problems (2002) (3)
- Planetary Normal Mode Computation: Parallel Algorithms, Performance, and Reproducibility (2021) (3)
- Scalable remote homology detection and fold recognition in massive protein networks (2019) (3)
- GDA-AM: On the Effectiveness of Solving Min-Imax Optimization via Anderson Mixing (2022) (3)
- Parallel Iterative Methods in Modern Physical Applications (2002) (3)
- Projection Methods for Solving Nonlinear Systems of Equations (1991) (3)
- Proxy-GMRES: Preconditioning via GMRES in Polynomial Space (2021) (2)
- Shifts of Origin for the QR Algorithm (1974) (2)
- Parallelism in algebraic recursive solvers (2001) (2)
- Lanczos-based Low-Rank Correction Method for Solving the Dyson Equation in Inhomogenous Dynamical Mean-Field Theory (2011) (2)
- Enhanced Multilevel Manifold Learning (2012) (2)
- ENHANCED ACCELERATION AND RECONDITIONING TECHNIQUES (1998) (2)
- Realizable reduction of passive networks (2005) (2)
- Alternating Direction Methods on Multiprocessors: An Extended Abstract. (1985) (2)
- Multicolor low‐rank preconditioner for general sparse linear systems (2020) (2)
- Preconditioned Methods for Sampling Multivariate Gaussian Distributions Edmond Chow (2013) (2)
- DIVIDE AND CONQUER LOW-RANK PRECONDITIONING TECHNIQUES (2012) (2)
- Filtered Matrix-Vector Products via the Lanczos Algorithm with Applications to Dimension Reduction ∗ (2007) (2)
- A Rayleigh-Ritz-method-based approach to computing seismic normal modes in rotating terrestrial planets (2019) (2)
- Particle partitioning strategies for the parallel computation of solid-liquid flows (2002) (2)
- Solve Minimax Optimization by Anderson Acceleration (2021) (2)
- Applying parallel direct solver skills to build robust and highly performant preconditioners (2004) (2)
- From Models to Efficient Code: It's All in the Middle. (2004) (2)
- Using Chebyshev-Filtered Subspace Iteration and Windowing Methods to Solve the Kohn-Sham Problem (2011) (2)
- Fast Algorithms for Estimating the Absorption Spectrum within the Linear Response Time-dependent Density Functional Theory (2015) (2)
- Overlapping domain decomposition preconditioners for the generalized Davidson method for the eigenvalue problem (1994) (2)
- Spectrum-Adapted Polynomial Approximation for Matrix Functions with Applications in Graph Signal Processing (2020) (2)
- Beyond AMLS: Domain decomposition with rational filtering (2017) (2)
- 1. Background in Linear Algebra (2003) (2)
- Data Structures and Algorithms for Domain Decomposition and Distributed Sparse Matrices (1994) (2)
- Quantum algorithms for predicting the properties of complex materials (2012) (2)
- Efficiently Generalizing Ultra-Cold Atomic Simulations via Inhomogeneous Dynamical Mean-Field Theory from Two- to Three-Dimensions (2010) (2)
- Parallel Solution of Eigenvalue Problems in Electronic Structure Calculations (1997) (2)
- Multilevel Linear Dimensionality Reduction for Data Analysis using Nearest-Neighbor Graphs ∗ (2008) (2)
- Predicting the Properties of Semiconductor Clusters (1999) (2)
- 8. Methods Related to the Normal Equations (2003) (1)
- ILUs And Factorized Approximate Inverses are stronglyrelated . Part II : Applications to stabilization (2000) (1)
- Graph Decomposition Techniques for General Sparse Matrices (1993) (1)
- AN ALGEBRAIC MULTILEVEL PRECONDITIONER WITH LOW-RANK CORRECTIONS FOR GENERAL SPARSE SYMMETRIC MATRICES (2014) (1)
- Robust Preconditioning of Large , Sparse , Symmetric Eigenvalue (1994) (1)
- Graph partitioning for scientific computing applications (2005) (1)
- Performance Study of Some Supercomputers Using a Sparse Matrix Benchmark (1989) (1)
- Theoretical Error Bounds and General Analysis of afew (1)
- 13. Multigrid Methods (2003) (1)
- 1. g Iterative solution of linear systems in the 20th century, Pages 1-33 (2003) (1)
- An Introduction to Iterative Projection Methods (2000) (1)
- Iterative solution of linear equations in ODE codes. [Krylov subspaces] (1981) (1)
- Performance of the CM-5 and Message Passing Primitives (1993) (1)
- Graph partitioning with matrix coefficients for symmetric positive definite linear systems (2011) (1)
- Think Globally , Act Locally : An Introduction to Domain-based Parallelism and Problem Decomposition Methods (2003) (1)
- Applying Parallel Direct Solver Techniques to Build Robust High Performance Preconditioners (2004) (1)
- P-SPARSLIB: A parallel sparse iterative solution package (1994) (1)
- 7. Filtering and Restarting Techniques (2011) (1)
- 9. Preconditioned Iterations (2003) (1)
- Robust Preconditioning for Indefinite and Ill-Conditioned Sparse Linear Systems. (2012) (1)
- PARALLEL METHODS AND TOOLS (2000) (1)
- Multilevel Linear Dimensionality Reduction using Hypergraphs for Data Analysis (2008) (1)
- 7. Krylov Subspace Methods, Part II (2003) (1)
- A Rayleigh-Ritz method based approach to computing seismic normal modes in the presence of an essential spectrum. (2019) (1)
- Hypergraph Partitioning for Parallel Iterative Solution of General Sparse Linear Systems ∗ (2007) (1)
- Finding Dense Subgraphs for Sparse Undirected , Directed , and Bipartite Graphs (2009) (1)
- Tensor Sum Approximation Preconditioners (1997) (1)
- Parallelization of a finite element CFD code using PSPARSLIB : application to three-dimensional free surface flows (1998) (1)
- A Non-perturbative Approach to Computing Seismic Normal Modes in Rotating Planets (2019) (1)
- Parallel resolution of sparse linear systems by mixing direct and iterative methods (2008) (1)
- Numerical linear algebra techniques for effective data analysis (2010) (0)
- A Non-perturbative Approach to Computing Seismic Normal Modes in Rotating Planets (2022) (0)
- Preconditioning techniques for highly indefinite linear systems (2008) (0)
- Scalable real space pseudopotential-density functional codes for materials applications (2015) (0)
- HYPERGRAPH PARTITIONING FOR SPARSE LINEAR SYSTEMS : A CASE STUDY WITH A SIMPLE DISCONTINUOUS PDE (2008) (0)
- Rational Approximation Preconditioners for General SparseLinear (1999) (0)
- GDA-AM: On the effectiveness of solving minimax optimization via Anderson Acceleration (2021) (0)
- Final Technical Report [Scalable methods for electronic excitations and optical responses of nanostructures: mathematics to algorithms to observables] (2014) (0)
- ON THE TENSOR SVD AND OPTIMAL LOW RANK ORTHOGONAL APPROXIMATIONS OF TENSORS (2007) (0)
- 5. Projection Methods (2003) (0)
- Planning the next generation of density functional codes (2014) (0)
- Chebyshev-filtered subspace iteration method free of sparse diagonalization for DFT calculations (2014) (0)
- Editorial (2000) (0)
- A New Lanczos-Based Low Rank Algorithm for Inhomogeneous Dynamical Mean-Field Theory (2012) (0)
- parGeMSLR: A Parallel Multilevel Schur Complement Low-Rank Preconditioning and Solution Package for General Sparse Matrices (2022) (0)
- Efficient Parallel Solutions of Parabolic Equations: Explicit Methods (1989) (0)
- Rational approximation preconditioners for sparse linear systems (2003) (0)
- Parallel Finite Element Calculations Using PSPARSLIB (1999) (0)
- Magnetization of iron clusters from first-principles calculations (2006) (0)
- The computation of seismic normal modes with rotation as a quadratic eigenvalue problem (2019) (0)
- An hybrid direct-iterative solver based on the Schur complement approach (2006) (0)
- Multi-Color Low-Rank preconditioner for general sparse linear systems (2019) (0)
- Special volume on matrix analysis and applications (2008) (0)
- 4. The Tools of Spectral Approximation (2011) (0)
- Parallel Solution of Equations for the Electronic Structure of Matter (1999) (0)
- Parallel Matrix Algorithms and Applications (PMAA '02) (2003) (0)
- Excited calculations of large scale multiwalled nanotubes using real-space pseudopotential methods (2015) (0)
- Parallel Rapid Elliptic Solvers (1987) (0)
- GPU-accelerated preconditioned iterative linear solvers (2012) (0)
- Computational Material Science and Engineering (2019) (0)
- An hybrid direct-iterative solver based on a hierarchical interface decomposition (2007) (0)
- Computing exp ( − τA ) b by the Filtered Conjugate Residual Algorithm ∗ (2006) (0)
- The Works Distinguished Alumni Award (2005) (0)
- SOME FAST EI,L!PTIC SOI,VERS ON PARALLEl, ARCHITECTURES AND TtlEIR COMPLEXITIES (0)
- 3. Perturbation Theory and Error Analysis (2011) (0)
- Ab Initio Calculations for Large Dielectric Matrices of Con ned Systems (0)
- Preliminary results in data mining for materials (2012) (0)
- Computing with Laguerre polynomials. (2010) (0)
- Scalable real space pseudopotential density functional codes for materials in the exascale regime (2016) (0)
- A parallel eigensolver: Using spectrum slicing method to solve the KohnSham problem for large systems (2018) (0)
- 10. Origins of Matrix Eigenvalue Problems (2011) (0)
- 3P270 Krylov subspace methods for computing correlated Brownian noise vectors in Brownian dynamics simulations with hydrodynamic interactions(24. Mathematical biology,Poster) (2013) (0)
- RANDOMIZED TECHNIQUES FOR MATRIX DECOMPOSITION AND ESTIMATING THE APPROXIMATE RANK OF A MATRIX (2014) (0)
- Component-based iterative methods for sparse linear systems: Research Articles (2007) (0)
- On Complex Preconditioning for the solution of the Kohn-Sham Equation for Molecular Transport ∗ (2007) (0)
- PCA without eigenvalue calculations (2005) (0)
- New Results - Domain decomposition and coupling algorithms (2003) (0)
- A highly scalable dense linear system solver for multiple right-hand sides in data analytics (2016) (0)
- An Efficient Nonlinear Acceleration method that Exploits Symmetry of the Hessian (2022) (0)
- Revisiting the (block) Jacobi subspace rotation method for the symmetric eigenvalue problem (2022) (0)
- Robust parallel iterative solvers for linear and least-squares problems, Final Technical Report (2014) (0)
- Modiied Krylov Acceleration for Parallel Environments Modiied Krylov Acceleration for Parallel Environments ? (2007) (0)
- On some recent algorithms for solving algebraic Riccati equations (2007) (0)
- Graph coarsening: from scientific computing to machine learning (2022) (0)
- Linear dimension reduction for evolutionary data (2011) (0)
- Preconditioned Krylov Subspace Methods for Eigenvalue (2007) (0)
- Use of PSPARSLIB for Solving Three-Dimensional Free Surface Flows (1999) (0)
- Computational Materials Science and Engineering (2020) (0)
- Expediting Solutions for the Electronic Structure of Large Systems: A Spectrum Slicing Algorithm (2012) (0)
- Parallel matrix algorithms (2014) (0)
- Special issue on Parallel Matrix Algorithms and Applications (2010) (0)
- The Origin and Development of Krylov Subspace Methods (2022) (0)
- REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS (2010) (0)
- 11. Parallel Implementations (2003) (0)
- 9. Non-Standard Eigenvalue Problems (2011) (0)
- 14. Domain Decomposition Methods (2003) (0)
- 12. Parallel Preconditioners (2003) (0)
- A Posteriori Error Estimate for Computing $\mathrm{tr}(f(A))$ by Using the Lanczos Method (2018) (0)
- 2. Discretization of Partial Differential Equations (2003) (0)
- Optimizing GW for Petascale HPC and Beyond (2014) (0)

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