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Perturbation Bounds for Matrix Eigenvalues

Perturbation Bounds for Matrix Eigenvalues

Part of Classics in Applied Mathematics

  • Author: R. Bhatia, Indian Statistical Institute
  • Date Published: July 2007
  • 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: 9780898716313

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  • Perturbation Bounds for Matrix Eigenvalues contains a unified exposition of spectral variation inequalities for matrices. The text provides a complete and self-contained collection of bounds for the distance between the eigenvalues of two matrices, which could be arbitrary or restricted to special classes. The book's emphasis on sharp estimates, general principles, elegant methods, and powerful techniques, makes it a good reference for researchers and students. For the SIAM Classics edition, the author has added over 60 pages of material covering recent results and discussing the important advances made in the theory, results, and proof techniques of spectral variation problems in the two decades since the book's original publication. This updated edition is appropriate for use as a research reference for physicists, engineers, computer scientists, and mathematicians interested in operator theory, linear algebra, and numerical analysis. It is also suitable for a graduate course in linear algebra or functional analysis.

    • Updated classic with over 60 pages of new material
    • Suitable as a reference or for graduate courses
    • Complete and self-contained collection
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    Product details

    • Date Published: July 2007
    • format: Paperback
    • isbn: 9780898716313
    • length: 184 pages
    • dimensions: 230 x 154 x 12 mm
    • weight: 0.29kg
    • 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
    Preface
    Introduction
    1. Preliminaries
    2. Singular values and norms
    3. Spectral variation of Hermitian matrices
    4. Spectral variation of normal matrices
    5. The general spectral variation problem
    6. Arbitrary perturbations of constrained matrices
    Postscripts
    References
    Supplements 1986-2006:
    7. Singular values and norms
    8. Spectral variation of Hermitian matrices
    9. Spectral variation of normal matrices
    10. Spectral variation of diagonalizable matrices
    11. The general spectral variation problem
    12. Arbitrary perturbations of constrained matrices
    13. Related topics
    Bibliography
    Errata.

  • Author

    R. Bhatia, Indian Statistical Institute
    Rajendra Bhatia is a Professor in the Department of Statistics and Mathematics at the Indian Statistical Institute.

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