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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 7, Pages 1100–1107
DOI: https://doi.org/10.31857/S0044466923070049 (Mi zvmmf11582) 		 
Optimal control

Conditional gradient method for optimization problems with a constraint in the form of the intersection of a convex smooth surface and a convex compact set

Yu. A. Chernyaev

Kazan National Research Technical University, 420111, Kazan, Tatarstan, Russia
DOI: https://doi.org/10.31857/S0044466923070049
Abstract: The conditional gradient method is generalized to nonconvex sets of constraints representing the set-theoretic intersection of a convex smooth surface and a convex compact set. Necessary optimality conditions are studied, and the convergence of the method is analyzed.
Key words: convex smooth surface, convex compact set, minimization of a smooth function, conditional gradient method.
Received: 03.10.2022
Revised: 06.02.2023
Accepted: 30.03.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 7, Pages 1191–1198
DOI: https://doi.org/10.1134/S0965542523070047
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: Yu. A. Chernyaev, “Conditional gradient method for optimization problems with a constraint in the form of the intersection of a convex smooth surface and a convex compact set”, Zh. Vychisl. Mat. Mat. Fiz., 63:7 (2023), 1100–1107; Comput. Math. Math. Phys., 63:7 (2023), 1191–1198
Citation in format AMSBIB
\Bibitem{Che23}
\by Yu.~A.~Chernyaev
\paper Conditional gradient method for optimization problems with a constraint in the form of the intersection of a convex smooth surface and a convex compact set
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 7
\pages 1100--1107
\mathnet{http://mi.mathnet.ru/zvmmf11582}
\crossref{https://doi.org/10.31857/S0044466923070049}
\elib{https://elibrary.ru/item.asp?id=54238532}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 7
\pages 1191--1198
\crossref{https://doi.org/10.1134/S0965542523070047}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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