Adaptive scheme of discretization for one semiiterative method in solving ill-posed problems

• Published in: Український математичний вісник
• Date: 2010
• Main Authors: Solodky, S.G., Volynets, E.A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124402
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Adaptive scheme of discretization for one semiiterative method in solving ill-posed problems / S.G. Solodky, E.A. Volynets // Український математичний вісник. — 2010. — Т. 7, № 4. — С. 553-569. — Бібліогр.: 14 назв. — англ.

In the paper we consider a new algorithm to solving linear ill-posed problem with operators of finite smoothness. The algorithm uses one semiiterative method for the regularization of original problem in combination with an adaptive strategy of discretization. For the operators the algorithm achieve...