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Spectral Approximation of Linear Operators

Spectral Approximation of Linear Operators

$76.00 (P)

Part of Classics in Applied Mathematics

  • Date Published: May 2011
  • 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: 9780898719994

$ 76.00 (P)
Paperback

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  • This classic textbook provides a unified treatment of spectral approximation for closed or bounded operators, as well as for matrices. Despite significant changes and advances in the field since it was first published in 1983, the book continues to form the theoretical bedrock for any computational approach to spectral theory over matrices or linear operators. This coverage of classical results is not readily available elsewhere. Spectral Approximation of Linear Operators offers in-depth coverage of properties of various types of operator convergence, the spectral approximation of non-self-adjoint operators, a generalization of classical perturbation theory, and computable error bounds and iterative refinement techniques, along with many exercises (with solutions), making it a valuable textbook for graduate students and reference manual for self-study.

    • A classic first published in 1983
    • Can serve both as graduate textbook and reference manual
    • Contains exercises and solutions to aid self-study
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    Product details

    • Date Published: May 2011
    • format: Paperback
    • isbn: 9780898719994
    • length: 480 pages
    • dimensions: 228 x 152 x 26 mm
    • weight: 0.62kg
    • 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

    Preface to the Classics Edition
    Foreword
    Preface
    Notation
    List of errata
    1. The matrix eigenvalue problem
    2. Elements of functional analysis: basic concepts
    3. Elements of functional analysis: convergence and perturbation theory
    4. Numerical approximation methods for integral and differential operators
    5. Spectral approximation of a closed linear operator
    6. Error bounds and localization results for the eigenelements
    7. Some examples of applications
    Appendix: discrete approximation theory
    References
    Solutions to exercises
    Notation index
    Subject index.

  • Author

    Françoise Chatelin, Université de Toulouse
    Françoise Chatelin is Professor of Mathematics at the University of Toulouse and head of the Qualitative Computing Group at CERFACS. Her areas of expertise include spectral theory for linear operators in Banach spaces and finite precision computation of very large eigenproblems.

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