Cited by 2,364Matrix Theory and AlgorithmsSpectral Theory in Mathematical PhysicsAdvanced Numerical Methods in Computational Mathematics

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Numerical Methods for Large Eigenvalue Problems: Revised Edition

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

DOI 10.1137/1.9781611970739

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Abstract

Preface to the Classics Edition Preface 1. Background in matrix theory and linear algebra 2. Sparse matrices 3. Perturbation theory and error analysis 4. The tools of spectral approximation 5. Subspace iteration 6. Krylov subspace methods 7. Filtering and restarting techniques 8. Preconditioning techniques 9. Non-standard eigenvalue problems 10. Origins of matrix eigenvalue problems References Index.

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Authors: Saad, Y.
Affiliations: University of Minnesota (US)
Corresponding author: Saad, Yousef
ORCID: Saad, Yousef
Venue: Society for Industrial and Applied Mathematics eBooks
Publisher: Society for Industrial and Applied Mathematics
Published: 2011-01-01
DOI: 10.1137/1.9781611970739
OpenAlex: W1563653928
Cited by: 2,364
References: 0
Citations by year: 2026: 80 · 2025: 92 · 2024: 88 · 2023: 88 · 2022: 92 · 2021: 119 · 2020: 118 · 2019: 124 · 2018: 134 · 2017: 107 · 2016: 100 · 2015: 100 · 2014: 130 · 2013: 82 · 2012: 70
FWCI: 28.30
Type: book
Language: en
Open access: closed
Locations: Society for Industrial and Applied Mathematics eBooks (publishedVersion)
Topics: Physical Sciences › Computer Science › Computational Theory and Mathematics › Matrix Theory and Algorithms
Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
Physical Sciences › Engineering › Computational Mechanics › Advanced Numerical Methods in Computational Mathematics
Keywords: large eigenvalue problems, matrix eigenvalue problems, sparse matrices, perturbation theory, error analysis, spectral approximation, subspace iteration, Krylov subspace methods, restarting, filtering, preconditioning

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Numerical Methods for Large Eigenvalue Problems: Revised Edition

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