文档介绍：Iterative Methods for Approximate Solution
of Inverse Problems
Mathematics and Its Applications
Managing Editor:
M. HAZEWINKEL
Centre for Mathematics puter Science, Amsterdam, herlands
Volume 577
Iterative Methods for
Approximate Solution of
Inverse Problems
by
. Bakushinsky
Russian Academy of Science, Moscow,
Russia
and
. Kokurin
Mary State University, Yoshkar-Ola,
Russia
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ISBN 1-4020-3121-1 (HB)
ISBN 1-4020-3122-X (e-book)
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To our teachers
Contents
Dedication v
Acknowledgments ix
Introduction xi
1. IRREGULAR EQUATIONS AS ILL–POSED PROBLEMS 1
Preliminaries 1
Irregular Equations and Contemporary Theory of Ill–Posed
Problems 10
2. REGULARIZATION METHODS FOR LINEAR EQUATIONS 17
General Scheme of Constructing Affine Regularization Algorithms
for Linear Equations in Hilbert Space 18
General Scheme of Constructing Regularization Algorithms in
Banach Space 36
Necessity of Sourcewise Representation for Rate of Convergence
Estimates in Banach Space 52
3. PARAMETRIC APPROXIMATIONS OF SOLUTIONS TO
NONLINEAR OPERATOR EQUATIONS 89
Classical Lineariz