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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 7, Pages 1151–1157
DOI: https://doi.org/10.1134/S0044466919070056 (Mi zvmmf10922) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Numerical algorithm for minimizing a convex function on the intersection of a smooth surface and a convex compact set

Yu. A. Chernyaev

Kazan National Research Technical University, Kazan, 420111 Tatarstan, Russia
Citations (1)
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DOI: https://doi.org/10.1134/S0044466919070056
Abstract: A numerical algorithm for minimizing a convex function on the set-theoretic intersection of a smooth surface and a convex compact set in finite-dimensional Euclidean space is proposed. The idea behind the algorithm is to reduce the original problem to a sequence of convex programming problems. Necessary extremum conditions are studied, and the convergence of the algorithm is analyzed.
Key words: smooth surface, convex compact set, convex programming problem, projection onto a nonconvex set, necessary conditions for a local minimum, convergence of an algorithm.
Received: 11.02.2019
Revised: 11.02.2019
Accepted: 11.03.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 7, Pages 1098–1104
DOI: https://doi.org/10.1134/S0965542519070054
Bibliographic databases:
Document Type: Article
UDC: 519.658.2
Language: Russian
Citation: Yu. A. Chernyaev, “Numerical algorithm for minimizing a convex function on the intersection of a smooth surface and a convex compact set”, Zh. Vychisl. Mat. Mat. Fiz., 59:7 (2019), 1151–1157; Comput. Math. Math. Phys., 59:7 (2019), 1098–1104
Citation in format AMSBIB
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    • This publication is cited in the following 1 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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