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Author : A. B. Bakushinsky
Release : 2014-09-01
Genre :
Kind : eBook
Book Rating : 998/5 ( reviews)
Book Synopsis Iterative Methods for Approximate Solution of Inverse Problems by : A. B. Bakushinsky
Download or read book Iterative Methods for Approximate Solution of Inverse Problems written by A. B. Bakushinsky. This book was released on 2014-09-01. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A.B. Bakushinsky
Release : 2007-09-28
Genre : Mathematics
Kind : eBook
Book Rating : 22X/5 ( reviews)
Book Synopsis Iterative Methods for Approximate Solution of Inverse Problems by : A.B. Bakushinsky
Download or read book Iterative Methods for Approximate Solution of Inverse Problems written by A.B. Bakushinsky. This book was released on 2007-09-28. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : David Colton
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 963/5 ( reviews)
Book Synopsis Surveys on Solution Methods for Inverse Problems by : David Colton
Download or read book Surveys on Solution Methods for Inverse Problems written by David Colton. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems usually leads to ill-posed problems, i.e., problems where solutions need not exist, need not be unique or may depend discontinuously on the data. For this reason, numerical methods for solving inverse problems are especially difficult, special methods have to be developed which are known under the term "regularization methods". This volume contains twelve survey papers about solution methods for inverse and ill-posed problems and about their application to specific types of inverse problems, e.g., in scattering theory, in tomography and medical applications, in geophysics and in image processing. The papers have been written by leading experts in the field and provide an up-to-date account of solution methods for inverse problems.
Author : Charles Byrne
Release : 2014-02-12
Genre : Business & Economics
Kind : eBook
Book Rating : 345/5 ( reviews)
Book Synopsis Iterative Optimization in Inverse Problems by : Charles Byrne
Download or read book Iterative Optimization in Inverse Problems written by Charles Byrne. This book was released on 2014-02-12. Available in PDF, EPUB and Kindle. Book excerpt: Iterative Optimization in Inverse Problems brings together a number of important iterative algorithms for medical imaging, optimization, and statistical estimation. It incorporates recent work that has not appeared in other books and draws on the author's considerable research in the field, including his recently developed class of SUMMA algorithms
Author : Michel Kern
Release : 2016-03-31
Genre : Mathematics
Kind : eBook
Book Rating : 954/5 ( reviews)
Book Synopsis Numerical Methods for Inverse Problems by : Michel Kern
Download or read book Numerical Methods for Inverse Problems written by Michel Kern. This book was released on 2016-03-31. Available in PDF, EPUB and Kindle. Book excerpt: This book studies methods to concretely address inverse problems. An inverse problem arises when the causes that produced a given effect must be determined or when one seeks to indirectly estimate the parameters of a physical system. The author uses practical examples to illustrate inverse problems in physical sciences. He presents the techniques and specific methods chosen to solve inverse problems in a general domain of application, choosing to focus on a small number of methods that can be used in most applications. This book is aimed at readers with a mathematical and scientific computing background. Despite this, it is a book with a practical perspective. The methods described are applicable, have been applied, and are often illustrated by numerical examples.
