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Spectral properties of banded Toeplitz matrices / Albrecht Böttcher, Sergei M. Grudsky

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Other titles in applied mathematics ; 96Publisher: Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2005Description: Online-Ressource (1 electronic text x, 411 p.)ISBN:
  • 0898715997
  • 9780898715996
  • 9780898717853
  • 9780898717853
Subject(s): Additional physical formats: 0898715997 | Erscheint auch als Druck-AusgabeDDC classification:
  • 512.9/434 22
MSC: MSC: *47-02 | 15A09 | 15A18 | 15A60 | 47B35 | 47B80 | 47N20 | 47N30 | 47N40 | 65F15 | 65F35RVK: RVK: SK 620LOC classification:
  • QA188
DOI: DOI: 10.1137/1.9780898717853Online resources: Additional physical formats: Also available in print version.
Contents:
Includes bibliographical references (p. 387-405) and index
Preface -- Chapter 1: Infinite Matrices -- Chapter 2: Determinants -- Chapter 3: Stability -- Chapter 4: Instability -- Chapter 5: Norms -- Chapter 6: Condition Numbers -- Chapter 7: Substitutes for the Spectrum -- Chapter 8: Transient Behavior -- Chapter 9: Singular Values -- Chapter 10: Extreme Eigenvalues -- Chapter 11: Eigenvalue Distribution -- Chapter 12: Eigenvectors and Pseudomodes -- Chapter 13: Structured Perturbations -- Chapter 14: Impurities -- Bibliography -- Index.
Infinite Matrices -- Chapter 2: Determinants -- Chapter 3: Stability -- Chapter 4: Instability -- Chapter 5: Norms -- Chapter 6: Condition Numbers -- Chapter 7: Substitutes for the Spectrum -- Chapter 8: Transient Behavior -- Chapter 9: Singular Values -- Chapter 10: Extreme Eigenvalues -- Chapter 11: Eigenvalue Distribution -- Chapter 12: Eigenvectors and Pseudomodes -- Chapter 13: Structured Perturbations -- Chapter 14: Impurities -- Bibliography -- Index
Summary: 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, Spectral Properties of Banded Toeplitz Matrices is an important resource. 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 papersPPN: PPN: 680115307Package identifier: Produktsigel: ZDB-72-SIA
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