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

Zh. Vychisl. Mat. Mat. Fiz., 2020 Volume 60, Number 2, Pages 221–233 (Mi zvmmf11032)

This article is cited in 1 paper

Projection generalized two-point extragradient quasi-Newton method for saddle-point and other problems

V. G. Malinov

Ulyanovsk State University, Ulyanovsk, 432000 Russia

Abstract: A method for solving saddle-point and other problems is proposed whereby saddle points are found for a convex-concave continuously differentiable function with Lipschitz partial gradients defined on a convex closed subset of Euclidean space. The convergence of the method and its convergence rate estimate are proved using convex analysis tools without assuming that the function is strongly convex-concave.

Key words: convex-concave function, saddle point problem, projection generalized two-point extragradient quasi-Newton method.

UDC: 519.85

Received: 20.12.2018
Revised: 15.07.2019
Accepted: 17.10.2019

DOI: 10.31857/S0044466920020118


 English version:
Computational Mathematics and Mathematical Physics, 2020, 60:2, 227–239

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© Steklov Math. Inst. of RAS, 2026