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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 3, Pages 355–363 (Mi zvmmf310)  

This article is cited in 3 scientific papers (total in 3 papers)

A method of local convex majorants for solving variational-like inequalities

E. A. Nurminskia, N. B. Shamraĭb

a Institute for Automation and Control Processes, Far East Division, Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041, Russia
b Far East State University, ul. Sukhanova 8, Vladivostok, 690039, Russia
References:
Abstract: A numerical method based on convex approximations that locally majorize a gap function is proposed for solving a variational-like inequality. The algorithm is theoretically validated and the results of comparison of its numerical efficiency to that of the conventional methods are presented.
Key words: variational and variational-like inequalities, gap function, convex optimization, method of local convex majorants.
Received: 09.03.2006
Revised: 15.09.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 3, Pages 341–348
DOI: https://doi.org/10.1134/S0965542507030013
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: E. A. Nurminski, N. B. Shamraǐ, “A method of local convex majorants for solving variational-like inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 47:3 (2007), 355–363; Comput. Math. Math. Phys., 47:3 (2007), 341–348
Citation in format AMSBIB
\Bibitem{NurSha07}
\by E.~A.~Nurminski, N.~B.~Shamra{\v\i}
\paper A~method of local convex majorants for solving variational-like inequalities
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 3
\pages 355--363
\mathnet{http://mi.mathnet.ru/zvmmf310}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2348287}
\zmath{https://zbmath.org/?q=an:05200986}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 3
\pages 341--348
\crossref{https://doi.org/10.1134/S0965542507030013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247100773}
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  • https://www.mathnet.ru/eng/zvmmf/v47/i3/p355
  • This publication is cited in the following 3 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 :157
    References:44
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