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Templates for the Solution of Algebraic Eigenvalue Problems

Templates for the Solution of Algebraic Eigenvalue Problems
A Practical Guide

£63.00

Part of Software, Environments and Tools

  • Date Published: June 2006
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898714715

£ 63.00
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
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  • Large-scale problems of engineering and scientific computing often require solutions of eigenvalue and related problems. This book gives a unified overview of theory, algorithms, and practical software for eigenvalue problems. It organizes this large body of material to make it accessible for the first time to the many nonexpert users who need to choose the best state-of-the-art algorithms and software for their problems. Using an informal decision tree, just enough theory is introduced to identify the relevant mathematical structure that determines the best algorithm for each problem. The algorithms and software at the 'leaves' of the decision tree range from the classical QR algorithm, which is most suitable for small dense matrices, to iterative algorithms for very large generalized eigenvalue problems. Algorithms are presented in a unified style as templates, with different levels of detail suitable for readers ranging from beginning students to experts.

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    Product details

    • Date Published: June 2006
    • format: Paperback
    • isbn: 9780898714715
    • length: 440 pages
    • dimensions: 255 x 175 x 24 mm
    • weight: 0.896kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    List of symbols and acronyms
    List of iterative algorithm templates
    List of direct algorithms
    List of figures
    List of tables
    1: Introduction
    2: A brief tour of Eigenproblems
    3: An introduction to iterative projection methods
    4: Hermitian Eigenvalue problems
    5: Generalized Hermitian Eigenvalue problems
    6: Singular Value Decomposition
    7: Non-Hermitian Eigenvalue problems
    8: Generalized Non-Hermitian Eigenvalue problems
    9: Nonlinear Eigenvalue problems
    10: Common issues
    11: Preconditioning techniques
    Appendix: of things not treated
    Bibliography
    Index .

  • Authors

    Zhaojun Bai

    James Demmel

    Jack Dongarra

    Axel Ruhe

    Henk van der Vorst

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