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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 609–619 (Mi semr132)  

This article is cited in 2 scientific papers (total in 2 papers)

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The correct flow chart for numerical solving of an inverse problem by the optimization method

A. L. Karchevsky

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (261 kB) Citations (2)
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Abstract: The two flow charts for solving of the same inverse problem by the optimization method are presented. On the numerical examples it is shown that the first flow chat offen used researchers requires much more time for calculations than the second one. It is caused by necessity of use of fineer net and by increase in quantity of minimization iterations of the residual functional for its decrease up to the certain value.
Keywords: inverse problem, optimization method, residual funcctional, conjugate problem.
Received September 1, 2008, published November 27, 2008
Bibliographic databases:
Document Type: Article
UDC: 517.958
MSC: 35R30
Language: Russian
Citation: A. L. Karchevsky, “The correct flow chart for numerical solving of an inverse problem by the optimization method”, Sib. Èlektron. Mat. Izv., 5 (2008), 609–619
Citation in format AMSBIB
\Bibitem{Kar08}
\by A.~L.~Karchevsky
\paper The correct flow chart for numerical solving of an inverse problem by the optimization method
\jour Sib. \`Elektron. Mat. Izv.
\yr 2008
\vol 5
\pages 609--619
\mathnet{http://mi.mathnet.ru/semr132}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2586661}
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  • https://www.mathnet.ru/eng/semr132
  • https://www.mathnet.ru/eng/semr/v5/p609
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :68
    References:52
     
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