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Journal of Computational and Engineering Mathematics, 2016, Volume 3, Issue 1, Pages 37–47
DOI: https://doi.org/10.14529/jcem160105
(Mi jcem52)
 

This article is cited in 1 scientific paper (total in 1 paper)

Computational Mathematics

On algorithm for numerical solution of optimal measurement problem using linear splines

A. A. Ebel

South Ural State University, Chelyabinsk, Russian Federation
Full-text PDF (191 kB) Citations (1)
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Abstract: We consider an algorithm for numerical solution of the optimal measurement problem using linear splines. The optimal measurement problem, which is based on the model of optimal control, is posed to restore the dynamically distorted signal. We propose to use a mixed-control problem for Leontief type systems in the development of numerical algorithm for solution of the optimal measurement problem. Furthermore, the use of linear splines at one of the algorithm steps reduces the amount of machine time required to find an approximate solution with a given accuracy.
Keywords: numerical algorithm of the optimal measurement problem, mixed control problem, optimal control, Leontief type system, Showalter – Sidorov condition, linear splines.
Received: 26.02.2016
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 49J15
Language: English
Citation: A. A. Ebel, “On algorithm for numerical solution of optimal measurement problem using linear splines”, J. Comp. Eng. Math., 3:1 (2016), 37–47
Citation in format AMSBIB
\Bibitem{Ebe16}
\by A.~A.~Ebel
\paper On algorithm for numerical solution of optimal measurement problem using linear splines
\jour J. Comp. Eng. Math.
\yr 2016
\vol 3
\issue 1
\pages 37--47
\mathnet{http://mi.mathnet.ru/jcem52}
\crossref{https://doi.org/10.14529/jcem160105}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3484591}
\zmath{https://zbmath.org/?q=an:06690892}
\elib{https://elibrary.ru/item.asp?id=25735552}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Journal of Computational and Engineering Mathematics
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    Full-text PDF :88
    References:59
     
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