Spectral Properties of Banded Toeplitz Matrices - Softcover

Böttcher, Albrecht; Grudsky, Sergei M.

Softcover

ISBN 10: 0898715997 ISBN 13: 9780898715996

Publisher: Society for Industrial and Applied Mathematics, 1987

Synopsis

This self-contained introduction to the behavior of several spectral characteristics of large Toeplitz band matrices is the first systematic presentation of a relatively large body of knowledge, covering everything from classic results to the most recent developments. The spectral characteristics include determinants, eigenvalues and eigenvectors, pseudospectra and pseudomodes, singular values, norms, and condition numbers. Toeplitz matrices emerge in many applications and the literature on them is immense. They remain an active field of research with many facets, and the material on banded ones until now has primarily been found in research papers. The book may serve both as an introductory text and as a reference. The approach is based on the experience of the authors in combining functional analytical methods with hard analysis, and in applying operator theoretical methods to matrix theory, revealing the essence of several phenomena and leading to significant improvements in existing results.

About this title

About the Author

Albrecht Böttcher is Professor of Mathematics at Chemnitz University of Technology, Germany. He is author or coauthor of seven books and approximately 140 research papers, and he is on the editorial board of three mathematics journals and one book series. In 1992 he received the Alfried Krupp Award for Young University Teachers and in 1997 the Ferran Sunyer i Balaguer Prize. Sergei M. Grudsky is Professor of Mathematics at Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional (CINVESTAV del I.P.N.) in Mexico City and also Professor of Mathematics at the Faculty of Mechanics and Mathematics at Rostov-on-Don State University, Russia. He is author or coauthor of three books and approximately 80 research papers.

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 1987
• Language: English
• ISBN 10: 0898715997
• ISBN 13: 9780898715996
• Binding: Paperback
• Number of pages: 421