Introduction to Large Truncated Toeplitz Matrices (Hardcover, 1999 ed.)

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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Universitext
Release date:	November 1998
First published:	1999
Authors:	Albrecht Boettcher • Bernd Silbermann
Dimensions:	235 x 155 x 17mm (L x W x T)
Format:	Hardcover
Pages:	259
Edition:	1999 ed.
ISBN-13:	978-0-387-98570-1
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Topology > Algebraic topology Books > Science & Mathematics > Mathematics > Topology > Analytic topology Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	0-387-98570-0
Barcode:	9780387985701

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