<電子ブック>
Iterative Methods for Approximate Solution of Inverse Problems / by A.B. Bakushinsky, M.Yu. Kokurin
(Mathematics and Its Applications ; 577)
版 | 1st ed. 2004. |
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出版者 | (Dordrecht : Springer Netherlands : Imprint: Springer) |
出版年 | 2004 |
本文言語 | 英語 |
大きさ | XV, 291 p : online resource |
著者標目 | *Bakushinsky, A.B author Kokurin, M.Yu author SpringerLink (Online service) |
件 名 | LCSH:Numerical analysis LCSH:Algorithms LCSH:Integral equations LCSH:Differential equations LCSH:Mathematical models FREE:Numerical Analysis FREE:Algorithms FREE:Integral Equations FREE:Differential Equations FREE:Mathematical Modeling and Industrial Mathematics |
一般注記 | Irregular Equations As Ill–Posed Problems -- Regularization Methods For Linear Equations -- Parametric Approximations Of Solutions To Nonlinear Operator Equations -- Iterative Processes On The Basis Of Parametric Approximations -- Stable Iterative Processes -- Applications Of Iterative Methods 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 HTTP:URL=https://doi.org/10.1007/978-1-4020-3122-9 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9781402031229 |
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EB00231258 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA297-299.4 DC23:518 |
書誌ID | 4000104722 |
ISBN | 9781402031229 |
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