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Introduction to Large Truncated Toeplitz Matrices, Albrecht B?ttcher; Bernd Silbermann


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Автор: Albrecht B?ttcher; Bernd Silbermann
Название:  Introduction to Large Truncated Toeplitz Matrices
ISBN: 9781461271390
Издательство: Springer
Классификация:


ISBN-10: 1461271398
Обложка/Формат: Paperback
Страницы: 259
Вес: 0.39 кг.
Дата издания: 17.10.2012
Серия: Universitext
Язык: English
Размер: 234 x 156 x 15
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.


Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics

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: 20962.00 р.
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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.

Introduction to the Theory of Toeplitz Operators with Infinite Index

Автор: A. Iacob; Vladimir Dybin; Sergei M. Grudsky
Название: Introduction to the Theory of Toeplitz Operators with Infinite Index
ISBN: 3034894767 ISBN-13(EAN): 9783034894760
Издательство: Springer
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Цена: 13974.00 р.
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Introduction to random matrices

Автор: Anderson, Greg W. Guionnet, Alice Zeitouni, Ofer
Название: Introduction to random matrices
ISBN: 0521194520 ISBN-13(EAN): 9780521194525
Издательство: Cambridge Academ
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Цена: 11088.00 р.
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Описание: The theory of random matrices plays an important role in many areas of pure mathematics. This rigorous introduction is specifically designed for graduate students in mathematics or related sciences, who have a background in probability theory but have not been exposed to advanced notions of functional analysis, algebra or geometry.

Survival Analysis for Bivariate Truncated Data

Автор: Dai, Hongsheng
Название: Survival Analysis for Bivariate Truncated Data
ISBN: 0128054808 ISBN-13(EAN): 9780128054802
Издательство: Elsevier Science
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Цена: 9264.00 р.
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Описание: Survival Analysis for Bivariate Truncated Data provides readers with a comprehensive review on the existing works on survival analysis for truncated data, mainly focusing on the estimation of univariate and bivariate survival function. The most distinguishing feature of survival data is known as censoring, which occurs when the survival time can only be exactly observed within certain time intervals. A second feature is truncation, which is often deliberate and usually due to selection bias in the study design. . Truncation presents itself in different ways. For example, left truncation, which is often due to a so-called late entry bias, occurs when individuals enter a study at a certain age and are followed from this delayed entry time. Right truncation arises when only individuals who experienced the event of interest before a certain time point can be observed. Analyzing truncated survival data without considering the potential selection bias may lead to seriously biased estimates of the time to event of interest and the impact of risk factors.

Exact and Truncated Difference Schemes for Boundary Value ODEs

Автор: Ivan Gavrilyuk; Martin Hermann; Volodymyr Makarov;
Название: Exact and Truncated Difference Schemes for Boundary Value ODEs
ISBN: 3034803419 ISBN-13(EAN): 9783034803410
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This comprehensive primer on compact finite difference methods for solving boundary value ODEs with high accuracy includes coverage of various a posteriori error estimators which are ideal for use in adaptive algorithms as important building blocks.

Generalized Locally Toeplitz Sequences: Theory and Applications

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: 15372.00 р.
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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.

Toeplitz Operators and Index Theory in Several Complex Variables

Автор: Harald Upmeier
Название: Toeplitz Operators and Index Theory in Several Complex Variables
ISBN: 3764352825 ISBN-13(EAN): 9783764352820
Издательство: Springer
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Цена: 23751.00 р.
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Описание: This volume provides a detailed description of important geometric settings encountered in multi-variable complex analysis. There is a thorough exposition of the harmonic analysis background, and treatment of topics of current interest.

Commutative Algebras of Toeplitz Operators on the Bergman Space

Автор: Nikolai Vasilevski
Название: Commutative Algebras of Toeplitz Operators on the Bergman Space
ISBN: 3764387254 ISBN-13(EAN): 9783764387259
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This unique book is devoted to the detailed study of the recently discovered commutative C*-algebras of Toeplitz operators on the Bergman space over the unit disk.

Analysis of Toeplitz Operators

Автор: Albrecht B?ttcher; Alexei Yurjevich Karlovich; Ber
Название: Analysis of Toeplitz Operators
ISBN: 364206891X ISBN-13(EAN): 9783642068911
Издательство: Springer
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Цена: 13275.00 р.
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Описание: A revised introduction to the advanced analysis of block Toeplitz operators including recent research. 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.

Developments and Applications of Block Toeplitz Iterative Solvers

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: 13974.00 р.
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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.

Toeplitz Operators and Index Theory in Several Complex Variables

Автор: Harald Upmeier
Название: Toeplitz Operators and Index Theory in Several Complex Variables
ISBN: 3034899602 ISBN-13(EAN): 9783034899604
Издательство: Springer
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Цена: 23751.00 р.
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Описание: 4 Hardy-Toeplitz Operators Over Tubular Domains 267 4.


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