Introduction to large truncated Toeplitz matrices
By: Albrecht Böttcher, Bernd Silbermann.
Contributors: Silbermann, Bernd, 1941-
Series: Universitext
Publisher: Springer
Published: 1999
Place of publication: New York
Language: eng
Number of pages: 258
Subjects: Toeplitz matrices
Description: 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 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 behavior 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.
Notes: Includes bibliographical references (p. [243]-253) and index.