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<図書>
Iterative methods for approximate solution of inverse problems

責任表示 by A.B. Bakushinsky and M.Yu. Kokurin
シリーズ Mathematics and its applications ; v. 577
データ種別 図書
出版者 Dordrecht : Springer
出版年 c2004
本文言語 英語
大きさ xv, 291 p. : ill. ; 25 cm
概要 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 ...nalysis 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. Book jacket.続きを見る
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所蔵情報

: hb 理系図3F 数理独自 023212005000131 BAKU/10/2 2004

書誌詳細

一般注記 Includes bibliographical references (p. [279]-287) and index
著者標目 *Bakushinskiĭ, A. B
Kokurin, M. Yu.
書誌ID 1001235582
ISBN 1402031211
NCID BA71641359
巻冊次 : hb ; ISBN:1402031211
登録日 2009.09.18
更新日 2017.02.18