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

Zh. Vychisl. Mat. Mat. Fiz., 2007 Volume 47, Number 3, Pages 355–363 (Mi zvmmf310)

This article is cited in 3 papers

A method of local convex majorants for solving variational-like inequalities

E. A. Nurminskia, N. B. Shamraĭb

a Institute for Automation and Control Processes, Far East Division, Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041, Russia
b Far East State University, ul. Sukhanova 8, Vladivostok, 690039, Russia

Abstract: A numerical method based on convex approximations that locally majorize a gap function is proposed for solving a variational-like inequality. The algorithm is theoretically validated and the results of comparison of its numerical efficiency to that of the conventional methods are presented.

Key words: variational and variational-like inequalities, gap function, convex optimization, method of local convex majorants.

UDC: 519.642.8

Received: 09.03.2006
Revised: 15.09.2006


 English version:
Computational Mathematics and Mathematical Physics, 2007, 47:3, 341–348

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