FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 3, PAGES 1029-1046

Optimal methods for solving ill-posed problems with sourcewise representated solutions

A. S. Leonov
A. G. Yagola

Abstract

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The new class of stable methods for solving linear ill-posed problems is proposed. These methods take into account the information about sourcewise representation of normal pseudosolution to be sought. They are optimal in order of accuracy. Furthemore, these algorithms have the additional property of adaptiveness.

All articles are published in Russian.

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Last modified: December 15, 1998