Introduction to Large Truncated Toeplitz Matrices

Introduction to Large Truncated Toeplitz Matrices
Author :
Publisher : Springer Science & Business Media
Total Pages : 264
Release :
ISBN-10 : 9781461214267
ISBN-13 : 1461214262
Rating : 4/5 (262 Downloads)

Book Synopsis Introduction to Large Truncated Toeplitz Matrices by : Albrecht Böttcher

Download or read book Introduction to Large Truncated Toeplitz Matrices written by Albrecht Böttcher and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Introduction to Large Truncated Toeplitz Matrices Related Books

Introduction to Large Truncated Toeplitz Matrices
Language: en
Pages: 264
Authors: Albrecht Böttcher
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

Applying functional analysis and operator theory to some concrete asymptotic problems of linear algebra, this book contains results on the stability of projecti
Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications
Language: en
Pages: 413
Authors: Michele Benzi
Categories: Mathematics
Type: BOOK - Published: 2017-01-24 - Publisher: Springer

GET EBOOK

Focusing on special matrices and matrices which are in some sense `near’ to structured matrices, this volume covers a broad range of topics of current interes
Simultaneous Triangularization
Language: en
Pages: 327
Authors: Heydar Radjavi
Categories: Mathematics
Type: BOOK - Published: 2012-11-19 - Publisher: Springer

GET EBOOK

This volume is designed to appeal to two different, yet intersecting audiences: linear algebraists and operator theorists. The first half contains a thorough tr
A Textbook of Graph Theory
Language: en
Pages: 246
Authors: R. Balakrishnan
Categories: Graph theory
Type: BOOK - Published: 2000 - Publisher: Springer Science & Business Media

GET EBOOK

Graph theory has experienced a tremendous growth during the 20th century. One of the main reasons for this phenomenon is the applicability of graph theory in ot
Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
Language: en
Pages: 314
Authors: Werner Balser
Categories: Mathematics
Type: BOOK - Published: 2008-01-19 - Publisher: Springer Science & Business Media

GET EBOOK

Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of conver