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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 10, Pages 1631–1640
DOI: https://doi.org/10.7868/S0044466917100064 (Mi zvmmf10623) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Iterative algorithm for minimizing a convex function at the intersection of a spherical surface and a convex compact set

Yu. A. Chernyaev

Kazan National Research Technical University, Kazan, Russia
Full-text PDF (185 kB) Citations (2)
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DOI: https://doi.org/10.7868/S0044466917100064
Abstract: A numerical algorithm for minimizing a convex function on the set-theoretic intersection of a spherical surface and a convex compact set is proposed. The idea behind the algorithm is to reduce the original minimization problem to a sequence of convex programming problems. Necessary extremum conditions are examined, and the convergence of the algorithm is analyzed.
Key words: spherical surface, convex compact set, convex programming problem, necessary conditions for a local minimum, convergence of an algorithm.
Received: 11.05.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 10, Pages 1607–1615
DOI: https://doi.org/10.1134/S0965542517100062
Bibliographic databases:
Document Type: Article
UDC: 519.658.2
Language: Russian
Citation: Yu. A. Chernyaev, “Iterative algorithm for minimizing a convex function at the intersection of a spherical surface and a convex compact set”, Zh. Vychisl. Mat. Mat. Fiz., 57:10 (2017), 1631–1640; Comput. Math. Math. Phys., 57:10 (2017), 1607–1615
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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