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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 1, Pages 37–49
DOI: https://doi.org/10.1134/S0044466919010058 (Mi zvmmf10815) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Gradient projection method for optimization problems with a constraint in the form of the intersection of a smooth surface and a convex closed set

Yu. A. Chernyaev

Kazan National Research Technical University, Kazan, 420111 Tatarstan, Russia
Citations (5)
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DOI: https://doi.org/10.1134/S0044466919010058
Abstract: The gradient projection method is generalized to the case of nonconvex sets of constraints representing the set-theoretic intersection of a smooth surface with a convex closed set. Necessary optimality conditions are studied, and the convergence of the method is analyzed.
Key words: smooth surface, convex closed set, gradient projection method, necessary conditions for a local minimum, convergence of an algorithm.
Received: 16.05.2017
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 1, Pages 34–45
DOI: https://doi.org/10.1134/S0965542519010056
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: Yu. A. Chernyaev, “Gradient projection method for optimization problems with a constraint in the form of the intersection of a smooth surface and a convex closed set”, Zh. Vychisl. Mat. Mat. Fiz., 59:1 (2019), 37–49; Comput. Math. Math. Phys., 59:1 (2019), 34–45
Citation in format AMSBIB
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    • This publication is cited in the following 5 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:17
     
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