Keyword

preconditioning

Description: A numerical technique that transforms a system of equations to improve the convergence or efficiency of iterative methods for solving it.

Primary topic: Matrix Theory and Algorithms (31%)

Wikidata ID: wiki/Q1754327

OpenAlex ID: keywords/preconditioning

Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set

1996 · G. Kresse, J. Furthmüller · Physical review. B, Condensed matter · 123,215

Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set

1996 · G. Kresse, J. Furthmüller · Computational Materials Science · 75,736

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

IEEE Transactions on Pattern Analysis and Machine Intelligence

2004 · IEEE Transactions on Pattern Analysis and Machine Intelligence · 3,721

Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods

1994 · Richard Barrett, Michael Berry, et al. · Society for Industrial and Applied Mathematics eBooks · 3,491

Updating Quasi-Newton Matrices with Limited Storage

1980 · Jorge Nocedal · Mathematics of Computation · 2,960

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SUNDIALS

2005 · Alan C. Hindmarsh, Peter N. Brown, et al. · ACM Transactions on Mathematical Software · 2,560

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Numerical Methods for Large Eigenvalue Problems

2011 · Yousef Saad · Society for Industrial and Applied Mathematics eBooks · 2,363

Numerical solution of saddle point problems

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

Domain Decomposition Methods — Algorithms and Theory

2005 · Andrea Toselli, Olof B. Widlund · Springer series in computational mathematics · 2,296

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

Iterative Solution Methods

1994 · Owe Axelsson · Cambridge University Press eBooks · 2,085

Iterative Solution of Large Linear Systems

1973 · Olof Widlund, David M. Young · Mathematics of Computation · 1,965

Jacobian-free Newton–Krylov methods: a survey of approaches and applications

2003 · D.A. Knoll, D.E. Keyes · Journal of Computational Physics · 1,931

Computer Solution of Large Sparse Positive Definite Systems.

1982 · Joseph E. Pasciak, Alan George, et al. · Mathematics of Computation · 1,874

Numerical approximation of partial differential equations

1987 · Quarteroni, Alfio 1952-, Valli, Alberto · Mathematics and Computers in Simulation · 1,864

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A multigrid tutorial

1987 · William L. Briggs · 1,841

Iterative Solution of Large Linear Systems

1971 · Elsevier eBooks · 1,734

A strategy for operational implementation of 4D-Var, using an incremental approach

1994 · P. Courtier, J.‐N. Thépaut, et al. · Quarterly Journal of the Royal Meteorological Society · 1,612

A Multigrid Tutorial, Second Edition

2000 · William L. Briggs, Van Emden Henson, et al. · Society for Industrial and Applied Mathematics eBooks · 1,512

Mechanisms Underlying Acute Protection From Cardiac Ischemia-Reperfusion Injury

2008 · Elizabeth Murphy, Charles Steenbergen · Physiological Reviews · 1,467

An iterative solution method for linear systems of which the coefficient matrix is a symmetric 𝑀-matrix

1977 · J. A. Meijerink, H. A. van der Vorst · Mathematics of Computation · 1,416

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Preconditioning Techniques for Large Linear Systems: A Survey

2002 · Michele Benzi · Journal of Computational Physics · 1,222

Works count: 21,050

Citation count: 565,300