Iterative Methods for Approximate Solution of Inverse Problems 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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A. B. Bakushinsky 作者

Springer Netherlands

译者

2009-12-28 出版日期

306 页数

USD 129.00 价格

Paperback

丛书系列

9789048167982 图书编码

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Iterative Methods for Approximate Solution of Inverse Problems 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Iterative Methods for Approximate Solution of Inverse Problems 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Iterative Methods for Approximate Solution of Inverse Problems 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Iterative Methods for Approximate Solution of Inverse Problems 在线电子书图书描述

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.

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