Universitext

Introduction to Large Truncated Toeplitz Matrices

Authors: Böttcher, Albrecht, Silbermann, Bernd

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  • ISBN 978-1-4612-1426-7
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About this book

Introduction to Large Truncated Toeplitz Matrices is a text on the application of functional analysis and operator theory to some concrete asymptotic problems of linear algebra. The book contains results on the stability of projection methods, deals with asymptotic inverses and Moore-Penrose inversion of large Toeplitz matrices, and embarks on the asymptotic behavoir of the norms of inverses, the pseudospectra, the singular values, and the eigenvalues of large Toeplitz matrices. The approach is heavily based on Banach algebra techniques and nicely demonstrates the usefulness of C*-algebras and local principles in numerical analysis. The book includes classical topics as well as results obtained and methods developed only in the last few years. Though employing modern tools, the exposition is elementary and aims at pointing out the mathematical background behind some interesting phenomena one encounters when working with large Toeplitz matrices. The text is accessible to readers with basic knowledge in functional analysis. It is addressed to graduate students, teachers, and researchers with some inclination to concrete operator theory and should be of interest to everyone who has to deal with infinite matrices (Toeplitz or not) and their large truncations.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $69.99
price for USA in USD
  • ISBN 978-1-4612-1426-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
Softcover $89.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Large Truncated Toeplitz Matrices
Authors
Series Title
Universitext
Copyright
1999
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1426-7
DOI
10.1007/978-1-4612-1426-7
Hardcover ISBN
978-0-387-98570-1
Softcover ISBN
978-1-4612-7139-0
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XI, 259
Topics