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Regularization Methods in Banach Spaces, Thomas Schuster, Barbara Kaltenbacher, Bernd Hofmann, Kamil S. Kazimierski


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Автор: Thomas Schuster, Barbara Kaltenbacher, Bernd Hofmann, Kamil S. Kazimierski
Название:  Regularization Methods in Banach Spaces
ISBN: 9783110255249
Издательство: Walter de Gruyter
Классификация:
ISBN-10: 3110255243
Обложка/Формат: Hardcover
Страницы: 294
Вес: 0.00 кг.
Дата издания: 16.07.2012
Серия: Mathematics
Язык: English
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis,Numerical analysis, MATHEMATICS / Applied,MATHEMATICS / Functional Analysis,MATHEMATICS / Numerical Analysis
Поставляется из: Германии
Описание: Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of applications ranging from medical imaging and non-destructive testing via finance to systems biology. Many of these problems belong to the class of parameter identification problems in partial differential equations (PDEs) and thus are computationally demanding and mathematically challenging. Hence there is a substantial need for stable and efficient solvers for this kind of problems as well as for a rigorous convergence analysis of these methods. This monograph consists of five parts. Part I motivates the importance of developing and analyzing regularization methods in Banach spaces by presenting four applications which intrinsically demand for a Banach space setting and giving a brief glimpse of sparsity constraints. Part II summarizes all mathematical tools that are necessary to carry out an analysis in Banach spaces. Part III represents the current state-of-the-art concerning Tikhonov regularization in Banach spaces. Part IV about iterative regularization methods is concerned with linear operator equations and the iterative solution of nonlinear operator equations by gradient type methods and the iteratively regularized Gau?-Newton method. Part V finally outlines the method of approximate inverse which is based on the efficient evaluation of the measured data with reconstruction kernels.

Regularization of Ill-Posed Problems by Iteration Methods

Автор: S.F. Gilyazov; N.L. Gol`dman
Название: Regularization of Ill-Posed Problems by Iteration Methods
ISBN: 0792361318 ISBN-13(EAN): 9780792361312
Издательство: Springer
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Цена: 102480.00 T
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Описание: Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems.

Series in Banach Spaces

Автор: Vladimir Kadets
Название: Series in Banach Spaces
ISBN: 3034899424 ISBN-13(EAN): 9783034899420
Издательство: Springer
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Цена: 121110.00 T
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Описание: The specific character of the theory of series manifests itself when one considers rearrangements (permutations) of the terms of a series, which brings combinatorial considerations into the problems studied.

Regularization of Ill-Posed Problems by Iteration Methods

Автор: S.F. Gilyazov; N.L. Gol`dman
Название: Regularization of Ill-Posed Problems by Iteration Methods
ISBN: 9048153824 ISBN-13(EAN): 9789048153824
Издательство: Springer
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Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems.

Numerical Regularization for Atmospheric Inverse Problems

Автор: Adrian Doicu; Thomas Trautmann; Franz Schreier
Название: Numerical Regularization for Atmospheric Inverse Problems
ISBN: 3642424015 ISBN-13(EAN): 9783642424014
Издательство: Springer
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Цена: 174130.00 T
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Описание: Written by brilliant mathematicians, this research monograph presents and analyzes numerical algorithms for atmospheric retrieval, pulling together all the relevant material in a consistent, very powerful manner.

Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization

Автор: Flemming
Название: Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization
ISBN: 3319952633 ISBN-13(EAN): 9783319952635
Издательство: Springer
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Цена: 51230.00 T
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Описание: The book collects and contributes new results on the theory and practice of ill-posed inverse problems. The new methods are applied to a difficult inverse problem from laser optics.Sparsity promoting regularization is examined in detail from a Banach space point of view.

Ill-posed Variational Problems and Regularization Techniques

Автор: Michel Thera; Rainer Tichatschke
Название: Ill-posed Variational Problems and Regularization Techniques
ISBN: 3540663231 ISBN-13(EAN): 9783540663232
Издательство: Springer
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Цена: 102480.00 T
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Описание: Developments in the field of ill-posed variational problems and variational inequalities are presented here. The work covers a large range of theoretical, numerical and practical aspects.

Regularization of Inverse Problems

Автор: Heinz Werner Engl; Martin Hanke; A. Neubauer
Название: Regularization of Inverse Problems
ISBN: 0792341570 ISBN-13(EAN): 9780792341574
Издательство: Springer
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Цена: 102480.00 T
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Описание: Offers an overview over some classes of inverse problems. This book deals with the mathematical theory of regularization methods and gives an account of the results about regularization methods both for linear and for nonlinear ill-posed problems. It considers both continuous and iterative regularization methods.

The Banach–Tarski Paradox

Автор: Tomkowicz
Название: The Banach–Tarski Paradox
ISBN: 1107042593 ISBN-13(EAN): 9781107042599
Издательство: Cambridge Academ
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Цена: 101370.00 T
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Описание: The Banach-Tarski Paradox is the most surprising result in mathematics. This new edition of a classic book offers a comprehensive, accessible presentation, with many related results, especially connections to non-Euclidean geometry, to squaring the circle, and even to some art by Escher. This material is suited to projects for undergraduates or masters students.

Banach Spaces of Analytic Functions.

Автор: G. Bennett; J. Baker; C. Cleaver; S.Y. Chang; D.E.
Название: Banach Spaces of Analytic Functions.
ISBN: 3540083561 ISBN-13(EAN): 9783540083566
Издательство: Springer
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Цена: 23280.00 T
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Описание: With contributions by numerous experts

Introduction to banach spaces: analysis and probability: volume 1

Автор: Li, Daniel Queffelec, Herve
Название: Introduction to banach spaces: analysis and probability: volume 1
ISBN: 1107160510 ISBN-13(EAN): 9781107160514
Издательство: Cambridge Academ
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Цена: 97150.00 T
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Описание: This two-volume text provides a complete overview of the theory of Banach spaces. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. Written for graduate students, these books are also a valuable reference for researchers in analysis.

Handbook of the Geometry of Banach Spaces,2

Автор: Author Unknown
Название: Handbook of the Geometry of Banach Spaces,2
ISBN: 0444513051 ISBN-13(EAN): 9780444513052
Издательство: Elsevier Science
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Цена: 185270.00 T
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Описание: Encouraged by new perspectives in Banach space theory, the editors present this second volume that opens with an introductory essay that explains the basics of the theory. The rest of the chapters focus on specific directions of Banach space theory or its applications.

Gaussian Measures in Banach Spaces

Автор: H.-H. Kuo
Название: Gaussian Measures in Banach Spaces
ISBN: 3540071733 ISBN-13(EAN): 9783540071730
Издательство: Springer
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Цена: 41920.00 T
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