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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2023 Volume 63, Number 7, Pages 1100–1107 (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

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.

UDC: 519.658

Received: 03.10.2022
Revised: 06.02.2023
Accepted: 30.03.2023

DOI: 10.31857/S0044466923070049


 English version:
Computational Mathematics and Mathematical Physics, 2023, 63:7, 1191–1198

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© Steklov Math. Inst. of RAS, 2026