Introduction to Large Truncated Toeplitz Matrices

Name: Introduction to Large Truncated Toeplitz Matrices
Brand: Springer-Verlag New York Inc.
SKU: 9780387985701
Price: 99.88 EUR
Availability: InStock

Autor: Albrecht Böttcher, Bernd Silbermann

Jazyk:

Väzba: Pevná

Vydavateľ: Springer-Verlag New York Inc.

Dostupnosť: Skladom u dodávateľa

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Introduction to Large Truncated Toeplitz Matrices is a text on the application of functional analysi...

Informácie o knihe

Autor

Albrecht Böttcher, Bernd Silbermann

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

1998

Stránok

259

EAN

9780387985701

ISBN

0387985700

Enbook ID

01385539

Vydavateľ

Springer-Verlag New York Inc.

Hmotnosť

1250

Rozmery

155 x 235 x 19

Kompletný popis

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.

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Introduction to Large Truncated Toeplitz Matrices

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