Introduction to Large Truncated Toeplitz Matrices (Universitext) - Softcover

Böttcher, Albrecht; Silbermann, Bernd

 
9781461271390: Introduction to Large Truncated Toeplitz Matrices (Universitext)
Softcover
ISBN 10: 1461271398 ISBN 13: 9781461271390
Verlag: Springer, 2012

Inhaltsangabe

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 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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Reseña del editor

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.

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Verlag
Springer
Erscheinungsdatum
2012
Sprache
Englisch
ISBN 10 
1461271398
ISBN 13 
9781461271390
Einband
Tapa blanda
Anzahl der Seiten
276
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Weitere beliebte Ausgaben desselben Titels

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Vorgestellte Ausgabe

ISBN 10:  0387985700 ISBN 13:  9780387985701
Verlag: Springer, 1998
Hardcover