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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 620–631 (Mi semr133)  
This article is cited in 1 scientific paper (total in 2 paper)

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Methods for inverse magnitometry problem solving

V. V. Vasina, E. N. Akimovaa, G. Ya. Perestoroninaa, P. S. Martyshkob, V. A. P'yankovb

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Institute of Geophisics Ural Branch of RAS, Ekaterinburg
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Abstract: The three-dimensional inverse magnetometry problem is investigated. The magnetometry equation is reduced to the two-dimensional nonlinear equations of the first kind. For solving nonlinear magnetometry equation the iterative regularized Newton method and the modified Levenberg–Marquardt method are used. Results of the solution of magnetometry problem for real magnetic fields are presented.
Keywords: inverse magnitometry problem, integral equation, parallel regular algorithms, parallel computing system MVS-1000.
Received July 17, 2008, published November 27, 2008
Bibliographic databases:
Document Type: Article
UDC: 517.988.68
MSC: 65R30
Language: Russian
Citation: V. V. Vasin, E. N. Akimova, G. Ya. Perestoronina, P. S. Martyshko, V. A. P'yankov, “Methods for inverse magnitometry problem solving”, Sib. Èlektron. Mat. Izv., 5 (2008), 620–631
Citation in format AMSBIB
\Bibitem{VasAkiPer08}
\by V.~V.~Vasin, E.~N.~Akimova, G.~Ya.~Perestoronina, P.~S.~Martyshko, V.~A.~P'yankov
\paper Methods for inverse magnitometry problem solving
\jour Sib. \`Elektron. Mat. Izv.
\yr 2008
\vol 5
\pages 620--631
\mathnet{http://mi.mathnet.ru/semr133}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2586662}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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