Introduction to Large Truncated Toeplitz Matrices

Name: Introduction to Large Truncated Toeplitz Matrices
SKU: 2048882
Price: 266.99 AUD
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Hardback

Series:

Universitext

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Description

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.

Release date Australia

November 25th, 1998

Author

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Illustrations

XI, 259 p.

Pages

259

Series

Universitext

Dimensions

155x235x17

ISBN-13

9780387985701

Product ID

2048882

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