Kniha Iterative Methods for Approximate Solution of Inverse Problems A. B. Bakushinsky

Iterative Methods for Approximate Solution of Inverse Problems

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
1 147
This volume presents a unified approach to constructing iterative methods for solving irregular oper...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2005
Stránek
291
EAN
9781402031212
ISBN
1402031211
Enbook ID
02106629
Hmotnost
680
Rozměry
210 x 297 x 19

Kompletní popis

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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