Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis
Springer (Publisher)
1st Edition
Published on 1. June 2000
Book
Hardback
X, 116 pages
978-3-7643-6290-4 (ISBN)
Description
This text is a self-contained introduction to some problems for Toeplitz matrices that are placed in the borderland between linear algebra and functional analysis. The text looks at Toeplitz matrices with rational symbols, and focuses attention on the asymptotic behavior of the singular values, which includes the behavior of the norms, the norms of the inverses, and the condition numbers as special cases. The text illustrates that the asymptotics of several linear algebra characteristics depend in a fascinating way on functional analytic properties of infinite matrices. Many convergence results can very comfortably be obtained by working with appropriate C*-algebras, while refinements of these results, for example, estimates of the convergence speed, nevertheless require hard analysis.
More details
Language
English
Place of publication
Basel
Switzerland
Target group
College/higher education
Professional and scholarly
Research
Product notice
Paperback (trade)
Illustrations
black & white illustrations
Dimensions
Height: 24 cm
Width: 17 cm
Thickness: 6 mm
Weight
480 gr
ISBN-13
978-3-7643-6290-4 (9783764362904)
Schweitzer Classification
Other editions
Additional editions

Albrecht Böttcher | Sergei M. Grudsky
Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis
Book
11/2012
Birkhäuser
€85.55
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