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Sibirskii Zhurnal Industrial'noi Matematiki, 2020, Volume 23, Number 3, Pages 77–90
DOI: https://doi.org/10.33048/SIBJIM.2020.23.307 (Mi sjim1100) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On convergence of computational algorithms for a variational problem of identifying the coefficients of difference equations

A. A. Lomovab

a Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
b Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia
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DOI: https://doi.org/10.33048/SIBJIM.2020.23.307
Abstract: Under consideration is the variational problem of identifying the coefficients of difference equations which the modified Prony method of extracting the sinusoids and exponentials from observations reduces to. We study the convergence of computational algorithms that are based on inverse iterations in a variable metric.
Keywords: difference equations, coefficient identification, variational identification method, modified Prony method, nonlinear eigenvalue problem, inverse iterations, convergence. .
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00754
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0010
The author was supported by the Russian Foundation for Basic Research (project no. 19-01-00754) and by the State Task to the Sobolev Institute of Mathematics (project no. 0314-2019-0010).
Received: 25.07.2019
Revised: 27.04.2020
Accepted: 16.07.2020
English version:
Journal of Applied and Industrial Mathematics, 2020, Volume 14, Issue 3, Pages 541–554
DOI: https://doi.org/10.1134/S1990478920030138
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: A. A. Lomov, “On convergence of computational algorithms for a variational problem of identifying the coefficients of difference equations”, Sib. Zh. Ind. Mat., 23:3 (2020), 77–90; J. Appl. Industr. Math., 14:3 (2020), 541–554
Citation in format AMSBIB
\Bibitem{Lom20}
\by A.~A.~Lomov
\paper On convergence of computational algorithms for a variational problem of identifying the coefficients of difference equations
\jour Sib. Zh. Ind. Mat.
\yr 2020
\vol 23
\issue 3
\pages 77--90
\mathnet{http://mi.mathnet.ru/sjim1100}
\crossref{https://doi.org/10.33048/SIBJIM.2020.23.307}
\elib{https://elibrary.ru/item.asp?id=45186876}
\transl
\jour J. Appl. Industr. Math.
\yr 2020
\vol 14
\issue 3
\pages 541--554
\crossref{https://doi.org/10.1134/S1990478920030138}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85094637090}
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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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    		Сибирский журнал индустриальной математики
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