Numerical methods for large eigenvalue problems

Numerical methods for large eigenvalue problems

by Saad, Y.

Type Book
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This revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section. Significant changes have been made to Chapters 6 th…

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Title Statements

  • Full title :Numerical methods for large eigenvalue problems / Yousef Saad.

Summary

This revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method, and automatic multilevel substructuring.

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Edition Statements

  • Publication Date:2011.
  • Edition:Rev. ed

Publication Statements

Notes

In SIAM e-books.

Versement en lot.

The Physical Object

  • Description:1 texte électronique : : fichiers PDF.

Edition Identifiers

  • ISBN:9781611970739, 1611970733
  • oclc:ocn752259777
  • LC Classification:QA188
  • Dewey Decimal:512.9/436

Table of Contents

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

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Subjects

e-books eigenvalues Livres numériques Matrices asymétriques Nonsymmetric matrices Valeurs propres

Writers

Saad, Y.

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