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portada Spectral Properties of Banded Toeplitz Matrices
Type
Physical Book
Publisher
Author
Year
2005
Language
English
Pages
421
Format
Paperback
Dimensions
22.90 x 15.20 cm
ISBN13
9780898715996

Spectral Properties of Banded Toeplitz Matrices

Albrecht Böttcher;Sergei M. Grudsky (Author) · SIAM - Society for Industrial and Applied Mathematics · Paperback

Spectral Properties of Banded Toeplitz Matrices - Albrecht Böttcher;Sergei M. Grudsky

New Book Imported to Taiwan
Delivery: 03 Sep - 11 Sep Shipping: 13 to 14 business days.
NT$ 5,278
NT$ 5,278

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Synopsis "Spectral Properties of Banded Toeplitz Matrices"

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, it is an important resource.

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.

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