Algebraic Methods for Toeplitz-like Matrices and Operators

Algebraic Methods for Toeplitz-like Matrices and Operators PDF Author: G. Heinig
Publisher: Birkhäuser
ISBN: 3034862415
Category : Science
Languages : en
Pages : 213

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Algebraic Methods for Toeplitz-like Matrices and Operators

Algebraic Methods for Toeplitz-like Matrices and Operators PDF Author: G. Heinig
Publisher: Birkhäuser
ISBN: 3034862415
Category : Science
Languages : en
Pages : 213

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Book Description


Algebraic methods for Toeplitz-like matrices and operators

Algebraic methods for Toeplitz-like matrices and operators PDF Author: Georg Heinig
Publisher:
ISBN:
Category :
Languages : de
Pages : 212

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Toeplitz Matrices and Singular Integral Equations

Toeplitz Matrices and Singular Integral Equations PDF Author: Albrecht Böttcher
Publisher: Birkhäuser
ISBN: 3034881991
Category : Mathematics
Languages : en
Pages : 327

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Book Description
This volume, dedicated to Bernd Silbermann on his sixtieth birthday, collects research articles on Toeplitz matrices and singular integral equations written by leading area experts. The subjects of the contributions include Banach algebraic methods, Toeplitz determinants and random matrix theory, Fredholm theory and numerical analysis for singular integral equations, and efficient algorithms for linear systems with structured matrices, and reflect Bernd Silbermann's broad spectrum of research interests. The volume also contains a biographical essay and a list of publications. The book is addressed to a wide audience in the mathematical and engineering sciences. The articles are carefully written and are accessible to motivated readers with basic knowledge in functional analysis and operator theory.

Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis

Toeplitz Matrices, Asymptotic Linear Algebra, and Functional Analysis PDF Author: Albrecht Böttcher
Publisher: Springer Science & Business Media
ISBN: 9783764362904
Category : C*-algebras
Languages : en
Pages : 132

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Book Description
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.

Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics

Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics PDF Author: Dario A. Bini
Publisher: Birkhäuser
ISBN: 3319491822
Category : Mathematics
Languages : en
Pages : 740

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Book Description
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.

Toeplitz Operators and Random Matrices

Toeplitz Operators and Random Matrices PDF Author: Estelle Basor
Publisher: Springer Nature
ISBN: 3031138511
Category : Mathematics
Languages : en
Pages : 606

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Book Description
This volume is dedicated to the memory of Harold Widom (1932–2021), an outstanding mathematician who has enriched mathematics with his ideas and ground breaking work since the 1950s until the present time. It contains a biography of Harold Widom, personal notes written by his former students or colleagues, and also his last, previously unpublished paper on domain walls in a Heisenberg–Ising chain. Widom's most famous contributions were made to Toeplitz operators and random matrices. While his work on random matrices is part of almost all the present-day research activities in this field, his work in Toeplitz operators and matrices was done mainly before 2000 and is therefore described in a contribution devoted to his achievements in just this area. The volume contains 18 invited and refereed research and expository papers on Toeplitz operators and random matrices. These present new results or new perspectives on topics related to Widom's work.

Numerical Methods for Structured Matrices and Applications

Numerical Methods for Structured Matrices and Applications PDF Author: Dario Andrea Bini
Publisher: Springer Science & Business Media
ISBN: 3764389966
Category : Mathematics
Languages : en
Pages : 439

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Book Description
This cross-disciplinary volume brings together theoretical mathematicians, engineers and numerical analysts and publishes surveys and research articles related to topics such as fast algorithms, in which the late Georg Heinig made outstanding achievements.

Toeplitz Matrices and Operators

Toeplitz Matrices and Operators PDF Author: Nikolaï Nikolski
Publisher: Cambridge University Press
ISBN: 1108187579
Category : Mathematics
Languages : en
Pages : 453

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Book Description
The theory of Toeplitz matrices and operators is a vital part of modern analysis, with applications to moment problems, orthogonal polynomials, approximation theory, integral equations, bounded- and vanishing-mean oscillations, and asymptotic methods for large structured determinants, among others. This friendly introduction to Toeplitz theory covers the classical spectral theory of Toeplitz forms and Wiener–Hopf integral operators and their manifestations throughout modern functional analysis. Numerous solved exercises illustrate the results of the main text and introduce subsidiary topics, including recent developments. Each chapter ends with a survey of the present state of the theory, making this a valuable work for the beginning graduate student and established researcher alike. With biographies of the principal creators of the theory and historical context also woven into the text, this book is a complete source on Toeplitz theory.

Handbook of Linear Algebra

Handbook of Linear Algebra PDF Author: Leslie Hogben
Publisher: CRC Press
ISBN: 1498785603
Category : Mathematics
Languages : en
Pages : 1906

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Book Description
With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and

Structured Matrices in Mathematics, Computer Science, and Engineering I

Structured Matrices in Mathematics, Computer Science, and Engineering I PDF Author: Vadim Olshevsky
Publisher: American Mathematical Soc.
ISBN: 0821819216
Category : Matrices
Languages : en
Pages : 346

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Book Description
"The collection of the contributions to these volumes offers a flavor of the plethora of different approaches to attack structured matrix problems. The reader will find that the theory of structured matrices is positioned to bridge diverse applications in the sciences and engineering, deep mathematical theories, as well as computational and numberical issues. The presentation fully illustrates the fact that the technicques of engineers, mathematicisn, and numerical analysts nicely complement each other, and they all contribute to one unified theory of structured matrices"--Back cover.