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Diskretnyi Analiz i Issledovanie Operatsii, 2014, Volume 21, Issue 3, Pages 87–102 (Mi da779)  
This article is cited in 17 scientific papers (total in 17 papers)

Finding the distance between the ellipsoids

G. Sh. Tamasyan, A. A. Chumakov

St. Petersburg State University, 35 Universitetskiy Ave., 198504 Peterhof, St. Petersburg, Russia
Full-text PDF (281 kB) Citations (17)
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Abstract: The problem of finding the nearest points between two ellipsoids is considered. New algorithms for solving this problem were constructed using the theory of exact penalty functions and nonsmooth analysis. We propose two iterative methods of (steepest and hypodifferential) descent. New algorithms (as compared with previously known) have specific advantages, in particular, they are universal and less labor-intensive. The software which implements these algorithms was developed in MATLAB and Maple environment. Bibliogr. 12.
Keywords: nonsmooth analysis, nearest distance, ellipsoid, exact penalty, subdifferential, method of hypodifferential descent.
Received: 02.09.2013
Revised: 11.11.2013
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 3, Pages 400–410
DOI: https://doi.org/10.1134/S1990478914030132
Bibliographic databases:
Document Type: Article
UDC: 519.85
Language: Russian
Citation: G. Sh. Tamasyan, A. A. Chumakov, “Finding the distance between the ellipsoids”, Diskretn. Anal. Issled. Oper., 21:3 (2014), 87–102; J. Appl. Industr. Math., 8:3 (2014), 400–410
Citation in format AMSBIB
\Bibitem{TamChu14}
\by G.~Sh.~Tamasyan, A.~A.~Chumakov
\paper Finding the distance between the ellipsoids
\jour Diskretn. Anal. Issled. Oper.
\yr 2014
\vol 21
\issue 3
\pages 87--102
\mathnet{http://mi.mathnet.ru/da779}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3242585}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 3
\pages 400--410
\crossref{https://doi.org/10.1134/S1990478914030132}
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  • https://www.mathnet.ru/eng/da/v21/i3/p87
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    References:89
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