Keyword

sparse linear systems

Description: Systems of linear equations whose coefficient matrices contain relatively few nonzero entries, arising in numerical computing and scientific applications.

Primary topic: Matrix Theory and Algorithms (62%)

OpenAlex ID: keywords/sparse-linear-systems

Iterative Methods for Sparse Linear Systems

2003 · Yousef Saad · Society for Industrial and Applied Mathematics eBooks · 13,789

Introduction to Numerical Analysis.

1981 · Carl-Erik Froberg, J. Stoer, et al. · Mathematics of Computation · 5,463

MCMC Methods for Multi-Response Generalized Linear Mixed Models: The MCMCglmm R Package

2010 · Jarrod D. Hadfield · Journal of Statistical Software · 4,804

LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares

1982 · Christopher C. Paige, Michael A. Saunders · ACM Transactions on Mathematical Software · 4,396

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Numerical methods for least squares problems

1996 · Björck, Åke 1934- · Choice Reviews Online · 3,007

Numerical solution of saddle point problems

2005 · Michele Benzi, Gene H. Golub, et al. · Acta Numerica · 2,301

A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling

2001 · Patrick R. Amestoy, Iain S. Duff, et al. · SIAM Journal on Matrix Analysis and Applications · 2,289

Multi-Grid Methods and Applications

1985 · Wolfgang Hackbusch · Springer series in computational mathematics · 2,273

An Introduction to the Conjugate Gradient Method Without the Agonizing Pain

1994 · Jonathan Richard Shewchuk · 2,169

Analysis and simulation of semiconductor devices

1985 · Selberherr, Siegfried 1955- · Mathematics and Computers in Simulation · 2,082

Large steps in cloth simulation

1998 · David Baraff, Andrew Witkin · ACM SIGGRAPH Annual Conference on Computer Graphics and Interactive Techniques (SIGGRAPH) · 1,718

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A Closed-Form Solution to Natural Image Matting

2007 · A. Levin, D. Lischinski, et al. · IEEE Transactions on Pattern Analysis and Machine Intelligence · 1,658

Solution of Sparse Indefinite Systems of Linear Equations

1975 · C. C. Paige, M. A. Saunders · SIAM Journal on Numerical Analysis · 1,620

Direct Methods for Sparse Matrices

2017 · I. S. Duff, A. M. Erisman, et al. · 1,603

Direct Methods for Sparse Linear Systems

2006 · Timothy A. Davis · Society for Industrial and Applied Mathematics eBooks · 1,453

Introduction to parallel computing: design and analysis of algorithms

1994 · Vipin Kumar, Ananth Grama, et al. · Benjamin-Cummings Publishing Co., Inc. eBooks · 1,206

4. Iterative Methods for Sparse Linear Systems

2007 · Randall J. LeVeque · Society for Industrial and Applied Mathematics eBooks · 1,191

Laplacian surface editing

2004 · O. Sorkine, D. Cohen-Or, et al. · 1,168

CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems

1989 · Peter Sonneveld · SIAM Journal on Scientific and Statistical Computing · 1,162

Iterative Methods for Total Variation Denoising

1996 · C. R. Vogel, M. E. Oman · SIAM Journal on Scientific Computing · 1,076

Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems

2003 · Zhong-Zhi Bai, Gene H. Golub, et al. · SIAM Journal on Matrix Analysis and Applications · 1,063

Finite difference methods for ordinary and partial differential equations: steady-state and time-dependent problems

2008 · Choice Reviews Online · 969

Multifrontal parallel distributed symmetric and unsymmetric solvers

2000 · P.R. Amestoy, I.S. Duff, et al. · Computer Methods in Applied Mechanics and Engineering · 948

hypre: A Library of High Performance Preconditioners

2002 · Robert D. Falgout, Ulrike Meier Yang · Lecture notes in computer science · 930

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Theory of thermal stresses

1959 · D.M. Gilbey · Journal of the Less Common Metals · 909

Works count: 7,855

Citation count: 158,700