Scholars without Borders Help Centre

You should be able to find the answers to most of your questions here- see the list of FAQs on the right. In case a query is outside of that list, of course there is always email ([email protected]) which we will answer within 24 hours, or the telephone (+91-9971763322) which we will answer during working hours (ours).

Store Information

The SwB Store is divided into a number of ministores, each listing different products such as for Books, eBooks, Audiobooks, Music CDs, Documentaries, Journal Subscriptions, Educational Material Maps and so on. The Books Ministore is what we have started with, and from time to time we will add more.


Toeplitz Matrices, Asymptotic Linear Algebra and Functional Analysis


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. We confine ourselves to Toeplitz matrices with rational symbols, and we focus our 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. We also demonstrate that a lot of nice 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.


Author: Albrecht Bottcher and Sergei M. Grudsky
Year: 2000
Price: Rs. 0
Binding: Hardcover
Pages: 126
Dimensions: 8.3 in x 5.4 in
Publisher: Hindustan Book Agency
ISBN 13: 9788185931241

Author Information & Reviews Mathematics

Table of contents
Table of contents

SwB » Store » Book » Toeplitz Matrices, Asymptotic Linear Algebra and Functional Analysis