Research Papers Dedicated to the Memory of A. N. Tikhonov

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

A. S. Leonov^a, A. G. Yagola<sup>b

a</sup> Moscow Engineering Physics Institute (State University)
^b M. V. Lomonosov Moscow State University

Abstract: 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.

UDC: 519.6

Received: 01.01.1998

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