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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 3, Pages 387–393
DOI: https://doi.org/10.7868/S0044466916030029 (Mi zvmmf10355) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Numerical algorithm for solving mathematical programming problems with a smooth surface as a constraint

Yu. A. Chernyaev

Kazan National Research Technical University, ul. Karla Marksa 10, Kazan, Tatarstan, 420111, Russia
Full-text PDF (122 kB) Citations (4)
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DOI: https://doi.org/10.7868/S0044466916030029
Abstract: A numerical algorithm for minimizing a convex function on a smooth surface is proposed. The algorithm is based on reducing the original problem to a sequence of convex programming problems. Necessary extremum conditions are examined, and the convergence of the algorithm is analyzed.
Key words: smooth surface, convex programming problem, projection onto a nonconvex set, necessary conditions for a local minimum, convergence of an algorithm.
Received: 17.11.2014
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 3, Pages 376–381
DOI: https://doi.org/10.1134/S0965542516030027
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: Yu. A. Chernyaev, “Numerical algorithm for solving mathematical programming problems with a smooth surface as a constraint”, Zh. Vychisl. Mat. Mat. Fiz., 56:3 (2016), 387–393; Comput. Math. Math. Phys., 56:3 (2016), 376–381
Citation in format AMSBIB
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    • 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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    References:110
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