Generalized Locally Toeplitz Sequences: Theory and Applications: Volume I, Garoni Carlo, Serra-Capizzano Stefano

Автор: Xiao-Qing Jin
Название: Developments and Applications of Block Toeplitz Iterative Solvers
ISBN: 9048161061 ISBN-13(EAN): 9789048161065
Издательство: Springer
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Цена: 93160.00 T
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Описание: Toeplitz systems arise in a variety of applications in mathematics, scientific computing, and engineering, such as image processing, numerical differential equations and integral equations, time series analysis, and control theory. This title contains the advanced developments in the use of iterative methods to block Toeplitz systems.

Автор: Albrecht B?ttcher; Bernd Silbermann
Название: Introduction to Large Truncated Toeplitz Matrices
ISBN: 1461271398 ISBN-13(EAN): 9781461271390
Издательство: Springer
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Цена: 93160.00 T
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Описание: Introduction to Large Truncated Toeplitz Matrices is a text on the application of functional analysis and operator theory to some concrete asymptotic problems of linear algebra. The 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 behavoir 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. The book includes classical topics as well as results obtained and methods developed only in the last few years. Though employing modern tools, the exposition is elementary and aims at pointing out the mathematical background behind some interesting phenomena one encounters when working with large Toeplitz matrices. The text is accessible to readers with basic knowledge in functional analysis. It is addressed to graduate students, teachers, and researchers with some inclination to concrete operator theory and should be of interest to everyone who has to deal with infinite matrices (Toeplitz or not) and their large truncations.

Автор: M. Mursaleen; S.A. Mohiuddine
Название: Convergence Methods for Double Sequences and Applications
ISBN: 8132229258 ISBN-13(EAN): 9788132229254
Издательство: Springer
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Цена: 88500.00 T
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Описание: This book`s dedicated focus on the `almost` convergence and statistical convergence of double sequences demystifies the concept using a host of revealing examples, highlighting the application of double sequences in key areas of pure and applied mathematics.

Автор: Kuipers, J.b.
Название: Quaternions and rotation sequences
ISBN: 0691102988 ISBN-13(EAN): 9780691102986
Издательство: Wiley
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Цена: 97150.00 T
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Описание: Introduces quaternions for scientists and engineers, and shows how they can be used in a variety of practical situations. This book is primarily an exposition of the quaternion, a 4-tuple, and its primary application in a rotation operator. It also presents the conventional and familiar 3 x 3 (9-element) matrix rotation operator.

Автор: Andrey O. Matveev
Название: Farey Sequences: Duality and Maps Between Subsequences
ISBN: 3110546620 ISBN-13(EAN): 9783110546620
Издательство: Walter de Gruyter
Цена: 123910.00 T
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Описание:

As a first comprehensive overview on Farey sequences and subsequences, this monograph is intended as a reference for anyone looking for specific material or formulas related to the subject. Duality of subsequences and maps between them are discussed and explicit proofs are shown in detail.

Автор: Carlo Garoni; Stefano Serra-Capizzano
Название: Generalized Locally Toeplitz Sequences: Theory and Applications
ISBN: 3030022323 ISBN-13(EAN): 9783030022327
Издательство: Springer
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Цена: 46570.00 T
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Описание: Based on the authors’ research experience, this two-volume reference textbook focuses on the theory of generalized locally Toeplitz sequences and its applications. The first volume discusses the univariate version of the theory and the related applications in the unidimensional setting, while this second volume, which addresses the multivariate case, is mainly devoted to concrete PDE applications.This book systematically develops the multivariate version of the theory of generalized locally Toeplitz (GLT) sequences and presents some of its main applications to the numerical discretization of partial differential equations (PDEs). Written for applied mathematicians, engineers, physicists, and scientists who (perhaps unknowingly) encounter GLT sequences in their research, it is also of interest to those working in the fields of Fourier and functional analysis, spectral analysis of PDE discretization matrices, matrix analysis, numerical analysis, linear and multilinear algebra. Further, it can be used as a textbook for graduate or advanced undergraduate courses in numerical analysis.

Автор: Bini Dario a., Ehrhardt Torsten, Karlovich Alexei Yu
Название: Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics: The Albrecht Bцttcher Anniversary Volume
ISBN: 3319840975 ISBN-13(EAN): 9783319840970
Издательство: Springer
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Цена: 139750.00 T
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Описание: 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 Boettcher`s 60th birthday.

Автор: Carlo Garoni; Stefano Serra-Capizzano
Название: Generalized Locally Toeplitz Sequences: Theory and Applications
ISBN: 3319536788 ISBN-13(EAN): 9783319536781
Издательство: Springer
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Цена: 102480.00 T
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Описание: Based on their research experience, the authors propose a reference textbook in two volumes on the theory of generalized locally Toeplitz sequences and their applications.

Автор: Estelle L. Basor; I. Gohberg
Название: Toeplitz Operators and Related Topics
ISBN: 3034896727 ISBN-13(EAN): 9783034896726
Издательство: Springer
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Цена: 46570.00 T
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Описание: This volume is dedicated to Harold Widom, a distinguished mathematician and renowned expert in the area of Toeplitz, Wiener-Hopf and pseudodifferential operators, on the occasion of his sixtieth birthday. The book opens with biographical material and a list of the mathematician's publications, this being followed by two papers based on Toeplitz lectures which he delivered at Tel Aviv University in March, 1993. The rest of the book consists of a selection of papers containing some recent achievements in the following areas: Szego-Widom asymptotic formulas for determinants of finite sections of Toeplitz matrices and their generalizations, the Fisher-Hartwig conjecture, random matrices, analysis of kernels of Toeplitz matrices, projectional methods and eigenvalue distribution for Toeplitz matrices, the Fredholm theory for convolution type operators, the Nehari interpolation problem with generalizations and applications, and Toeplitz-Hausdorff type theorems. The book will appeal to a wide audience of pure and applied mathematicians.

Автор: Dario A. Bini; Torsten Ehrhardt; Alexei Yu. Karlov
Название: Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics
ISBN: 3319491806 ISBN-13(EAN): 9783319491806
Издательство: Springer
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Цена: 139750.00 T
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Описание: 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 Bottcher`s 60th birthday.

Автор: Nikolski, Nikolai (universite De Bordeaux)
Название: Toeplitz matrices and operators
ISBN: 110719850X ISBN-13(EAN): 9781107198500
Издательство: Cambridge Academ
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Цена: 77090.00 T
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Описание: This book covers the spectral theory of Toeplitz forms and Wiener-Hopf integral operators and their applications in harmonic and functional analysis. With exercises and solutions, historical background, and surveys of the latest results, this is an essential source on Toeplitz theory for students and researchers alike.

Автор: Andrica Dorin, Bagdasar Ovidiu
Название: Recurrent Sequences: Key Results, Applications, and Problems
ISBN: 303051501X ISBN-13(EAN): 9783030515010
Издательство: Springer
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Цена: 51230.00 T
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Описание: This self-contained text presents state-of-the-art results on recurrent sequences and their applications in algebra, number theory, geometry of the complex plane and discrete mathematics.