Skip to content
Register Sign in Wishlist
Spectral Properties of Banded Toeplitz Matrices

Spectral Properties of Banded Toeplitz Matrices


  • Date Published: December 2005
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
  • format: Paperback
  • isbn: 9780898715996

£ 81.00

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
Unavailable Add to wishlist

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • This self-contained introduction to the behavior of several spectral characteristics of large Toeplitz band matrices is the first systematic presentation of a relatively large body of knowledge, covering everything from classic results to the most recent developments. The spectral characteristics include determinants, eigenvalues and eigenvectors, pseudospectra and pseudomodes, singular values, norms, and condition numbers. Toeplitz matrices emerge in many applications and the literature on them is immense. They remain an active field of research with many facets, and the material on banded ones until now has primarily been found in research papers. The book may serve both as an introductory text and as a reference. The approach is based on the experience of the authors in combining functional analytical methods with hard analysis, and in applying operator theoretical methods to matrix theory, revealing the essence of several phenomena and leading to significant improvements in existing results.

    • All basic results presented in the book are precisely stated and come with full proofs
    • Covers much material previously unavailable in book form
    • Can be used for self-teaching or as a reference
    Read more

    Reviews & endorsements

    'This is a wonderful book, full of the latest material on Toeplitz matrices and operators, including norms, spectra, pseudospectra, fields of values, and polynomial hulls. The notes at the end of the chapters are especially interesting and the exercises are challenging. The writing is careful and precise but also entertaining.' Anne Greenbaum, Professor of Mathematics, University of Washington

    'This book is a tremendous resource for all aspects of the spectral theory of banded Toeplitz matrices. It will be the first place I turn when looking for many results in this field, and given this book's amazing breadth and depth, I expect to find just what I need.' Mark Embree, Assistant Professor of Computational and Applied Mathematics, Rice University

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: December 2005
    • format: Paperback
    • isbn: 9780898715996
    • length: 421 pages
    • dimensions: 254 x 175 x 23 mm
    • weight: 0.733kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
  • Table of Contents

    1. Infinite matrices
    2. Determinants
    3. Stability
    4. Instability
    5. Norms
    6. Condition numbers
    7. Substitutes for the spectrum
    8. Transient behavior
    9. Singular values
    10. Extreme eigenvalues
    11. Eigenvalue distribution
    12. Eigenvectors and pseudomodes
    13. Structured perturbations
    14. Impurities

  • Authors

    Albrecht Böttcher

    Sergei M. Grudsky

Related Books

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.