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 doesna (TM)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.
General
| Imprint: |
Springer-Verlag New York
|
| Country of origin: |
United States |
| Series: |
Mathematics and Its Applications, 577 |
| Release date: |
February 2005 |
| First published: |
2004 |
| Authors: |
A. B Bakushinsky
• M. Yu Kokurin
|
| Dimensions: |
297 x 210 x 19mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
291 |
| Edition: |
2004 ed. |
| ISBN-13: |
978-1-4020-3121-2 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
General
Promotions
|
| LSN: |
1-4020-3121-1 |
| Barcode: |
9781402031212 |
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