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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2008, Volume 11, Number 2, Pages 139–149 (Mi sjvm39)  

This article is cited in 9 scientific papers (total in 9 papers)

A correct flow chart for numerical solution to an inverse problem by optimization method

A. L. Karchevsky

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Full-text PDF (254 kB) Citations (9)
References:
Abstract: In this paper, two flow charts for solving the same inverse problem by an optimization method are presented. On numerical examples it is shown that the first flow chat often used by researchers requires much more computer costs than the second one. This is because of the necessity of using a fine net and due to an increase in the number of minimization iterations of the residual functional for its decrease up to a certain value.
Key words: inverse problem, optimization method, residual functional.
Received: 25.03.2007
Revised: 05.06.2007
English version:
Numerical Analysis and Applications, 2008, Volume 1, Issue 2, Pages 114–122
DOI: https://doi.org/10.1134/S1995423908020031
UDC: 517.95
Language: Russian
Citation: A. L. Karchevsky, “A correct flow chart for numerical solution to an inverse problem by optimization method”, Sib. Zh. Vychisl. Mat., 11:2 (2008), 139–149; Num. Anal. Appl., 1:2 (2008), 114–122
Citation in format AMSBIB
\Bibitem{Kar08}
\by A.~L.~Karchevsky
\paper A~correct flow chart for numerical solution to an inverse problem by optimization method
\jour Sib. Zh. Vychisl. Mat.
\yr 2008
\vol 11
\issue 2
\pages 139--149
\mathnet{http://mi.mathnet.ru/sjvm39}
\transl
\jour Num. Anal. Appl.
\yr 2008
\vol 1
\issue 2
\pages 114--122
\crossref{https://doi.org/10.1134/S1995423908020031}
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  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Sibirskii Zhurnal Vychislitel'noi Matematiki
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