[PDF] Algebraic Methods For Toeplitz Like Matrices And Operators eBook

Author : Albrecht Böttcher
Publisher : Birkhäuser
Page : 327 pages
File Size : 49,77 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3034881991

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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.

Author : Nikolaï Nikolski
Publisher : Cambridge University Press
Page : 453 pages
File Size : 50,71 MB
Release : 2020-01-02
Category : Mathematics
ISBN : 110719850X

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A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.

Author : Dario Andrea Bini
Publisher : Springer Science & Business Media
Page : 439 pages
File Size : 15,27 MB
Release : 2011-02-09
Category : Mathematics
ISBN : 3764389966

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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.

Author : Nikolaï Nikolski
Publisher : Cambridge University Press
Page : 453 pages
File Size : 23,96 MB
Release : 2020-01-02
Category : Mathematics
ISBN : 1108187579

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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.

Author : Bernd Silbermann
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 29,46 MB
Release : 2002
Category : Mathematics
ISBN : 9783764368777

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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.

Author : Estelle Basor
Publisher : Springer Nature
Page : 606 pages
File Size : 22,13 MB
Release : 2023-01-01
Category : Mathematics
ISBN : 3031138511

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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.

Author : Daniele Bertaccini
Publisher : CRC Press
Page : 375 pages
File Size : 19,7 MB
Release : 2018-02-19
Category : Mathematics
ISBN : 1498764177

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This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations. Indeed, mathematical models become more and more accurate by including a greater volume of data, but this requires the solution of larger and harder algebraic systems. In recent years, research has focused on the efficient solution of large sparse and/or structured systems generated by the discretization of numerical models by using iterative solvers.