Toeplitz Matrices And Operators
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Author | : Nikolaï Nikolski |
Publisher | : Cambridge University Press |
Total Pages | : 453 |
Release | : 2020-01-02 |
Genre | : Mathematics |
ISBN | : 110719850X |
Download Toeplitz Matrices and Operators Book in PDF, Epub and Kindle
A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.
Author | : Albrecht Böttcher |
Publisher | : Springer Science & Business Media |
Total Pages | : 511 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 366202652X |
Download Analysis of Toeplitz Operators Book in PDF, Epub and Kindle
A revised introduction to the advanced analysis of block Toeplitz operators including recent research. This book builds on the success of the first edition which has been used as a standard reference for fifteen years. Topics range from the analysis of locally sectorial matrix functions to Toeplitz and Wiener-Hopf determinants. This will appeal to both graduate students and specialists in the theory of Toeplitz operators.
Author | : Albrecht Böttcher |
Publisher | : Springer Science & Business Media |
Total Pages | : 264 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461214262 |
Download Introduction to Large Truncated Toeplitz Matrices Book in PDF, Epub and Kindle
Applying functional analysis and operator theory to some concrete asymptotic problems of linear algebra, this 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 behaviour 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, including classical topics as well as results and methods from the last few years. Though employing modern tools, the exposition is elementary and points out the mathematical background behind some interesting phenomena encountered with large Toeplitz matrices. Accessible to readers with basic knowledge in functional analysis, the book addresses graduates, teachers, and researchers and should be of interest to everyone who has to deal with infinite matrices (Toeplitz or not) and their large truncations.
Author | : G. Heinig |
Publisher | : Birkhäuser |
Total Pages | : 213 |
Release | : 2013-11-21 |
Genre | : Science |
ISBN | : 3034862415 |
Download Algebraic Methods for Toeplitz-like Matrices and Operators Book in PDF, Epub and Kindle
Author | : Robert M. Gray |
Publisher | : Now Publishers Inc |
Total Pages | : 105 |
Release | : 2006 |
Genre | : Computers |
ISBN | : 1933019239 |
Download Toeplitz and Circulant Matrices Book in PDF, Epub and Kindle
The fundamental theorems on the asymptotic behavior of eigenvalues, inverses, and products of banded Toeplitz matrices and Toeplitz matrices with absolutely summable elements are derived in a tutorial manner. Mathematical elegance and generality are sacrificed for conceptual simplicity and insight in the hope of making these results available to engineers lacking either the background or endurance to attack the mathematical literature on the subject. By limiting the generality of the matrices considered, the essential ideas and results can be conveyed in a more intuitive manner without the mathematical machinery required for the most general cases. As an application the results are applied to the study of the covariance matrices and their factors of linear models of discrete time random processes. The fundamental theorems on the asymptotic behavior of eigenvalues, inverses, and products of banded Toeplitz matrices and Toeplitz matrices with absolutely summable elements are derived in a tutorial manner. Mathematical elegance and generality are sacrificed for conceptual simplicity and insight in the hope of making these results available to engineers lacking either the background or endurance to attack the mathematical literature on the subject. By limiting the generality of the matrices considered, the essential ideas and results can be conveyed in a more intuitive manner without the mathematical machinery required for the most general cases. As an application the results are applied to the study of the covariance matrices and their factors of linear models of discrete time random processes.
Author | : Dario A. Bini |
Publisher | : Birkhäuser |
Total Pages | : 757 |
Release | : 2017-03-21 |
Genre | : Mathematics |
ISBN | : 3319491822 |
Download Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics Book in PDF, Epub and Kindle
This book presents a collection of expository and research papers on various topics in matrix and operator theory, contributed by several experts on the occasion of Albrecht Böttcher’s 60th birthday. Albrecht Böttcher himself has made substantial contributions to the subject in the past. The book also includes a biographical essay, a complete bibliography of Albrecht Böttcher’s work and brief informal notes on personal encounters with him. The book is of interest to graduate and advanced undergraduate students majoring in mathematics, researchers in matrix and operator theory as well as engineers and applied mathematicians.
Author | : A. Bottcher |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 200 |
Release | : 1983-12-31 |
Genre | : Mathematics |
ISBN | : 3112760417 |
Download Invertibility and Asymptotics of Toeplitz Matrices Book in PDF, Epub and Kindle
No detailed description available for "Invertibility and Asymptotics of Toeplitz Matrices".
Author | : Albrecht Böttcher |
Publisher | : Springer |
Total Pages | : 127 |
Release | : 2000-12-31 |
Genre | : Mathematics |
ISBN | : 9386279045 |
Download Toeplitz Matrices, Asymptotic Linear Algebra and Functional Analysis Book in PDF, Epub and Kindle
Author | : Lloyd N. Trefethen |
Publisher | : Princeton University Press |
Total Pages | : 634 |
Release | : 2005-08-07 |
Genre | : Mathematics |
ISBN | : 9780691119465 |
Download Spectra and Pseudospectra Book in PDF, Epub and Kindle
Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on eigenvalues fails. For example, eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow, Markov chains, ecological models, and matrix iterations. That's where this book comes in. This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences.
Author | : Albrecht Boettcher |
Publisher | : SIAM |
Total Pages | : 421 |
Release | : 2005-01-01 |
Genre | : Mathematics |
ISBN | : 9780898717853 |
Download Spectral Properties of Banded Toeplitz Matrices Book in PDF, Epub and Kindle
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.