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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2008, Volume 11, Number 2, Pages 167–186 (Mi sjvm41)  

This article is cited in 6 scientific papers (total in 6 papers)

On elimination of accuracy saturation of regularizing algorithms

A. S. Leonov

Moscow Engineering Physics Institute
References:
Abstract: A general approach to modification of well-known methods for the solution of linear ill-posed problems is proposed. The approach enables us to exclude a possible “saturation of accuracy” of methods on classes of sourcewise representable solutions. As a result, the modified methods possess the optimal order of accuracy on each of these classes. Numerical examples for the solution of 1D and 2D inverse problems are presented.
Key words: ill-posed problems, accuracy saturation, soursewise represented solutions.
Received: 27.02.2007
English version:
Numerical Analysis and Applications, 2008, Volume 1, Issue 2, Pages 135–150
DOI: https://doi.org/10.1134/S1995423908020055
UDC: 519.6
Language: Russian
Citation: A. S. Leonov, “On elimination of accuracy saturation of regularizing algorithms”, Sib. Zh. Vychisl. Mat., 11:2 (2008), 167–186; Num. Anal. Appl., 1:2 (2008), 135–150
Citation in format AMSBIB
\Bibitem{Leo08}
\by A.~S.~Leonov
\paper On elimination of accuracy saturation of regularizing algorithms
\jour Sib. Zh. Vychisl. Mat.
\yr 2008
\vol 11
\issue 2
\pages 167--186
\mathnet{http://mi.mathnet.ru/sjvm41}
\transl
\jour Num. Anal. Appl.
\yr 2008
\vol 1
\issue 2
\pages 135--150
\crossref{https://doi.org/10.1134/S1995423908020055}
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Sibirskii Zhurnal Vychislitel'noi Matematiki
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