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

Zh. Vychisl. Mat. Mat. Fiz., 2019 Volume 59, Number 1, Pages 37–49 (Mi zvmmf10815)

This article is cited 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

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.

UDC: 519.658

Received: 16.05.2017

DOI: 10.1134/S0044466919010058


 English version:
Computational Mathematics and Mathematical Physics, 2019, 59:1, 34–45

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© Steklov Math. Inst. of RAS, 2026