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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2008 Volume 5, Pages 609–619 (Mi semr132)

This article is cited 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

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.

UDC: 517.958

MSC: 35R30

Received September 1, 2008, published November 27, 2008



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