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Introduction to Large Truncated Toeplitz Matrices

Name: Introduction to Large Truncated Toeplitz Matrices
Brand: Springer-Verlag New York Inc.
SKU: 06795108
Price: 37483 HUF
Availability: InStock
Author: Albrecht Böttcher
ISBN: 9781461271390

Albrecht Böttcher

Bernd Silbermann

Language

English

Book Paperback

Libristo code: 06795108

Publishers Springer-Verlag New York Inc., October 2012

Applying functional analysis and operator theory to some concrete asymptotic problems of linear alge... Full description

Libristo code: 06795108

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37 483 Ft

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Applying functional analysis and operator theory to some concrete asymptotic problems of linear algebra, this 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 behaviour 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, including classical topics as well as results and methods from the last few years. Though employing modern tools, the exposition is elementary and points out the mathematical background behind some interesting phenomena encountered with large Toeplitz matrices. Accessible to readers with basic knowledge in functional analysis, the book addresses graduates, teachers, and researchers and should be of interest to everyone who has to deal with infinite matrices (Toeplitz or not) and their large truncations.