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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 3, Pages 391–399
DOI: https://doi.org/10.31857/S004446692102006X (Mi zvmmf11208) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Optimal control

Gradient projection method for a class of optimization problems with a constraint in the form of a subset of points of a smooth surface

Yu. A. Chernyaev

Kazan National Research Technical University named after A. N. Tupolev
Citations (2)
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DOI: https://doi.org/10.31857/S004446692102006X
Abstract: The gradient projection method is generalized to nonconvex sets of constraints representing the set-theoretic difference of a set of points of a smooth surface and the union of a finite number of convex open sets. Necessary optimality conditions are examined, and the convergence of the method is analyzed.
Key words: smooth surface, convex open set, gradient projection method, necessary conditions for a local minimum.
Received: 24.03.2020
Revised: 24.03.2020
Accepted: 16.09.2020
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 3, Pages 368–375
DOI: https://doi.org/10.1134/S0965542521020068
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: Yu. A. Chernyaev, “Gradient projection method for a class of optimization problems with a constraint in the form of a subset of points of a smooth surface”, Zh. Vychisl. Mat. Mat. Fiz., 61:3 (2021), 391–399; Comput. Math. Math. Phys., 61:3 (2021), 368–375
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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