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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2013, Volume 155, Book 4, Pages 48–54 (Mi uzku1240)  

This article is cited in 4 scientific papers (total in 4 papers)

A cutting plane algorithm with an approximation of an epigraph

I. Ya. Zabotin, R. S. Yarullin

Institute of Computer Mathematics and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (425 kB) Citations (4)
References:
Abstract: For the conditional minimization problem, we propose a cutting plane algorithm with an approximation of the epigraph of the objective function. The algorithm makes it possible to update approximating sets by dropping the cutting planes which accumulate during the solution process. We prove the convergence of the algorithm and describe its properties.
Keywords: approximating set, cutting hyperplane, sequence of approximations, convergence, conditional minimization, epigraph.
Received: 02.10.2013
Document Type: Article
UDC: 519.853
Language: Russian
Citation: I. Ya. Zabotin, R. S. Yarullin, “A cutting plane algorithm with an approximation of an epigraph”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155, no. 4, Kazan University, Kazan, 2013, 48–54
Citation in format AMSBIB
\Bibitem{ZabYar13}
\by I.~Ya.~Zabotin, R.~S.~Yarullin
\paper A cutting plane algorithm with an approximation of an epigraph
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2013
\vol 155
\issue 4
\pages 48--54
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1240}
Linking options:
  • https://www.mathnet.ru/eng/uzku1240
  • https://www.mathnet.ru/eng/uzku/v155/i4/p48
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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    Full-text PDF :146
    References:48
     
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