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

Zh. Vychisl. Mat. Mat. Fiz., 2021 Volume 61, Number 3, Pages 391–399 (Mi zvmmf11208)

This article is cited 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

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.

UDC: 519.658

Received: 24.03.2020
Revised: 24.03.2020
Accepted: 16.09.2020

DOI: 10.31857/S004446692102006X


 English version:
Computational Mathematics and Mathematical Physics, 2021, 61:3, 368–375

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© Steklov Math. Inst. of RAS, 2026