Iterative Methods for Approximate Solution of Inverse Problems (Mathematics and Its Applications, 577)
Bakushinsky, A.B.; Kokurin, M.Yu.
ISBN 10: 1402031211 ISBN 13: 9781402031212
Editorial: Springer, 2005
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Sinopsis:
This volume presents a unified approach to constructing iterative methods for solving irregular operator equations and provides rigorous theoretical analysis for several classes of these methods. The analysis of methods includes convergence theorems as well as necessary and sufficient conditions for their convergence at a given rate. The principal groups of methods studied in the book are iterative processes based on the technique of universal linear approximations, stable gradient-type processes, and methods of stable continuous approximations. Compared to existing monographs and textbooks on ill-posed problems, the main distinguishing feature of the presented approach is that it doesn’t require any structural conditions on equations under consideration, except for standard smoothness conditions. This allows to obtain in a uniform style stable iterative methods applicable to wide classes of nonlinear inverse problems. Practical efficiency of suggested algorithms is illustrated in application to inverse problems of potential theory and acoustic scattering.
The volume can be read by anyone with a basic knowledge of functional analysis.
The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems.
Críticas:
From the reviews of the first edition:
"This book gives an overview on iterative regularization techniques for the solution of nonlinear inverse problems. Bakushinsky has made significant contributions to this area for some time, and many of these important results are collected in this book. The methods are analyzed on a sound mathematical functional analytical basis." (Otmar Scherzer, Mathematical Reviews, Issue 2006 e)
"Sobre este título" puede pertenecer a otra edición de este libro.
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Título: Iterative Methods for Approximate Solution ...
Editorial: Springer
Año de publicación: 2005
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2004th ed. 16 x 23 cm. 306 pages. HC Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Sprache: Englisch. Nº de ref. del artículo: 7438VB
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents a novel approach to constructing and studying iterative methods for approximate solution of nonlinear inverse problemsGives rigorous theoretical analysis of the methodsContains authors recent results as well as a comprehensive com. Nº de ref. del artículo: 4093210
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Buch. Condición: Neu. Iterative Methods for Approximate Solution of Inverse Problems | M. Yu. Kokurin (u. a.) | Buch | xv | Englisch | 2005 | Springer Netherland | EAN 9781402031212 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Nº de ref. del artículo: 102297849
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Iterative Methods for Approximate Solution of Inverse Problems (Mathematics and Its Applications, 577)
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Springer Netherlands, Springer Netherlands Feb 2005, 2005
ISBN 10: 1402031211
ISBN 13: 9781402031212
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Buch. Condición: Neu. Neuware -This volume presents a unified approach to constructing iterative methods for solving irregular operator equations and provides rigorous theoretical analysis for several classes of these methods. The analysis of methods includes convergence theorems as well as necessary and sufficient conditions for their convergence at a given rate. The principal groups of methods studied in the book are iterative processes based on the technique of universal linear approximations, stable gradient-type processes, and methods of stable continuous approximations. Compared to existing monographs and textbooks on ill-posed problems, the main distinguishing feature of the presented approach is that it doesn¿t require any structural conditions on equations under consideration, except for standard smoothness conditions. This allows to obtain in a uniform style stable iterative methods applicable to wide classes of nonlinear inverse problems. Practical efficiency of suggested algorithms is illustrated in application to inverse problems of potential theory and acoustic scattering.The volume can be read by anyone with a basic knowledge of functional analysis.The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 308 pp. Englisch. Nº de ref. del artículo: 9781402031212
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Iterative Methods for Approximate Solution of Inverse Problems
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Springer Netherlands Feb 2005, 2005
ISBN 10: 1402031211
ISBN 13: 9781402031212
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume presents a unified approach to constructing iterative methods for solving irregular operator equations and provides rigorous theoretical analysis for several classes of these methods. The analysis of methods includes convergence theorems as well as necessary and sufficient conditions for their convergence at a given rate. The principal groups of methods studied in the book are iterative processes based on the technique of universal linear approximations, stable gradient-type processes, and methods of stable continuous approximations. Compared to existing monographs and textbooks on ill-posed problems, the main distinguishing feature of the presented approach is that it doesn't require any structural conditions on equations under consideration, except for standard smoothness conditions. This allows to obtain in a uniform style stable iterative methods applicable to wide classes of nonlinear inverse problems. Practical efficiency of suggested algorithms is illustrated in application to inverse problems of potential theory and acoustic scattering. The volume can be read by anyone with a basic knowledge of functional analysis.The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems. 308 pp. Englisch. Nº de ref. del artículo: 9781402031212
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ISBN 10: 1402031211
ISBN 13: 9781402031212
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume presents a unified approach to constructing iterative methods for solving irregular operator equations and provides rigorous theoretical analysis for several classes of these methods. The analysis of methods includes convergence theorems as well as necessary and sufficient conditions for their convergence at a given rate. The principal groups of methods studied in the book are iterative processes based on the technique of universal linear approximations, stable gradient-type processes, and methods of stable continuous approximations. Compared to existing monographs and textbooks on ill-posed problems, the main distinguishing feature of the presented approach is that it doesn't require any structural conditions on equations under consideration, except for standard smoothness conditions. This allows to obtain in a uniform style stable iterative methods applicable to wide classes of nonlinear inverse problems. Practical efficiency of suggested algorithms is illustrated in application to inverse problems of potential theory and acoustic scattering. The volume can be read by anyone with a basic knowledge of functional analysis.The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems. Nº de ref. del artículo: 9781402031212
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