Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis
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Bester Preis: € 32,77 (vom 04.12.2016)Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis (2000)
ISBN: 9780817662905 bzw. 0817662901, in Englisch, 116 Seiten, Birkhauser, gebundenes Buch, neu.
Von Händler/Antiquariat, Amazon.com.
This text is a self-contained introduction to some problems for Toeplitz matrices that are placed in the borderland between linear algebra and functional analysis. The text looks at Toeplitz matrices with rational symbols, and focuses attention on the asymptotic behavior of the singular values, which includes the behavior of the norms, the norms of the inverses, and the condition numbers as special cases. The text illustrates that the asymptotics of several linear algebra characteristics depend in a fascinating way on functional analytic properties of infinite matrices. Many convergence results can very comfortably be obtained by working with appropriate C*-algebras, while refinements of these results, for example, estimates of the convergence speed, nevertheless require hard analysis. Hardcover, Label: Birkhauser, Birkhauser, Produktgruppe: Book, Publiziert: 2000-04, Studio: Birkhauser, Verkaufsrang: 17202616.
Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis (2000)
ISBN: 9780817662905 bzw. 0817662901, in Englisch, 116 Seiten, Birkhauser, gebundenes Buch, gebraucht.
Von Händler/Antiquariat, mygrandmasgoodies.
This text is a self-contained introduction to some problems for Toeplitz matrices that are placed in the borderland between linear algebra and functional analysis. The text looks at Toeplitz matrices with rational symbols, and focuses attention on the asymptotic behavior of the singular values, which includes the behavior of the norms, the norms of the inverses, and the condition numbers as special cases. The text illustrates that the asymptotics of several linear algebra characteristics depend in a fascinating way on functional analytic properties of infinite matrices. Many convergence results can very comfortably be obtained by working with appropriate C*-algebras, while refinements of these results, for example, estimates of the convergence speed, nevertheless require hard analysis. Hardcover, Label: Birkhauser, Birkhauser, Produktgruppe: Book, Publiziert: 2000-04, Studio: Birkhauser, Verkaufsrang: 17202616.
Spectral Properties of Banded Toeplitz Matrices (2005)
ISBN: 9780898715996 bzw. 0898715997, in Englisch, 411 Seiten, Society for Industrial & Applied, Taschenbuch, gebraucht.
Von Händler/Antiquariat, southlandplace.
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 papers. The book may serve both as a text for introducing the material and as a reference. The approach is based on the know-how and experience of the authors in combining functional analytical methods with hard analysis and in applying operator theoretical methods to matrix theory, which reveals the essence of several phenomena and leads to significant improvements in existing results. All basic results presented in the book are precisely stated as theorems and accompanied by full proofs. Audience This book is written for applied mathematicians, engineers, and scientists who encounter Toeplitz matrices in their research. It also will be of interest to mathematicians in the fields of operator theory, numerical analysis, structured matrices, or random matrix theory, and physicists, chemists, biologists, and economists who deal with stationary statistical and stochastic problems. Parts of the book are suitable for use as a graduate-level text on Toeplitz matrices or analysis. Contents 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. Paperback, Label: Society for Industrial & Applied, Society for Industrial & Applied, Produktgruppe: Book, Publiziert: 2005-11-01, Studio: Society for Industrial & Applied, Verkaufsrang: 4515912.
Spectral Properties of Banded Toeplitz Matrices (2005)
ISBN: 9780898715996 bzw. 0898715997, in Englisch, 411 Seiten, Society for Industrial & Applied, Taschenbuch, neu.
Von Händler/Antiquariat, SuperBookDeals--.
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 papers. The book may serve both as a text for introducing the material and as a reference. The approach is based on the know-how and experience of the authors in combining functional analytical methods with hard analysis and in applying operator theoretical methods to matrix theory, which reveals the essence of several phenomena and leads to significant improvements in existing results. All basic results presented in the book are precisely stated as theorems and accompanied by full proofs. Audience This book is written for applied mathematicians, engineers, and scientists who encounter Toeplitz matrices in their research. It also will be of interest to mathematicians in the fields of operator theory, numerical analysis, structured matrices, or random matrix theory, and physicists, chemists, biologists, and economists who deal with stationary statistical and stochastic problems. Parts of the book are suitable for use as a graduate-level text on Toeplitz matrices or analysis. Contents 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. Paperback, Label: Society for Industrial & Applied, Society for Industrial & Applied, Produktgruppe: Book, Publiziert: 2005-11-01, Studio: Society for Industrial & Applied, Verkaufsrang: 4515912.
Spectral Properties of Banded Toeplitz Matrices (1987)
ISBN: 9780898715996 bzw. 0898715997, in Englisch, Society for Industrial & Applied Mathematics,U.S. Taschenbuch, neu.
Von Händler/Antiquariat, Book Depository CA.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
Spectral Properties of Banded Toeplitz Matrices
ISBN: 9780898715996 bzw. 0898715997, in Englisch, SIAM, Taschenbuch, neu.
Spectral-Properties-of-Banded-Toeplitz-Matrices~~Sergei-M-Grudsky, Spectral Properties of Banded Toeplitz Matrices.
Spectral Properties of Banded Toeplitz Matrices (1987)
ISBN: 9780898715996 bzw. 0898715997, in Englisch, 421 Seiten, Society for Industrial and Applied Mathematics, Taschenbuch, neu.
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