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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 4, Pages 576–582 (Mi zvmmf480)  

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

An extension of the conditional gradient method to a class of nonconvex optimization problems

Yu. A. Chernyaev

Kazan State University of Technology, ul. Karla Marksa 10, Kazan, 420111, Tatarstan, Russia
References:
Abstract: The conditional gradient method is extended to the case when the feasible set is the set-the-oretic difference of a certain convex set and the union of several convex sets. Necessary extremum conditions are used to prove the convergence of the method.
Key words: set-theoretic difference, necessary condition for a local minimum, convergence of an algorithm.
Received: 29.06.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 4, Pages 548–553
DOI: https://doi.org/10.1134/S0965542506040038
Bibliographic databases:
Document Type: Article
UDC: 519.853.6
Language: Russian
Citation: Yu. A. Chernyaev, “An extension of the conditional gradient method to a class of nonconvex optimization problems”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006), 576–582; Comput. Math. Math. Phys., 46:4 (2006), 548–553
Citation in format AMSBIB
\Bibitem{Che06}
\by Yu.~A.~Chernyaev
\paper An extension of the conditional gradient method to a~class of nonconvex optimization problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 4
\pages 576--582
\mathnet{http://mi.mathnet.ru/zvmmf480}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2260349}
\zmath{https://zbmath.org/?q=an:05200928}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 4
\pages 548--553
\crossref{https://doi.org/10.1134/S0965542506040038}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746100254}
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  • https://www.mathnet.ru/eng/zvmmf/v46/i4/p576
  • 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
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :119
    References:50
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