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Fundamentalnaya i Prikladnaya Matematika, 1998, Volume 4, Issue 3, Pages 1029–1046 (Mi fpm340)  
Research Papers Dedicated to the Memory of A. N. Tikhonov

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

A. S. Leonova, A. G. Yagolab

a Moscow Engineering Physics Institute (State University)
b M. V. Lomonosov Moscow State University
Full-text PDF (868 kB)
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.
Received: 01.01.1998
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. S. Leonov, A. G. Yagola, “Optimal methods for solving ill-posed problems with sourcewise representated solutions”, Fundam. Prikl. Mat., 4:3 (1998), 1029–1046
Citation in format AMSBIB
\Bibitem{LeoYag98}
\by A.~S.~Leonov, A.~G.~Yagola
\paper Optimal methods for solving ill-posed problems with sourcewise representated solutions
\jour Fundam. Prikl. Mat.
\yr 1998
\vol 4
\issue 3
\pages 1029--1046
\mathnet{http://mi.mathnet.ru/fpm340}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1800047}
\zmath{https://zbmath.org/?q=an:0962.65046}
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