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Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis

Author: 


ISBN-13: 

9783764362904


ISBN: 

3764362901


Pub Date: 
Publisher:  Springer
Summary: 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 il...lustrates 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.

Böttcher, Albrecht is the author of Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis, published 2000 under ISBN 9783764362904 and 3764362901. Two Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis textbooks are available for sale on ValoreBooks.com, one used from the cheapest price of $50.00, or buy new starting at $218.00.
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Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis

ISBN-13: 9783764362904


ISBN: 3764362901


Pub Date:
Publisher: Springer
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