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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 9, Pages 75–79 (Mi ivm8932)  
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

Finite number of iterations in the two-step extragradient method

A. V. Zykina, N. V. Melen'chuk

Chair of Applied Mathematics and Fundamental Information Science, Omsk State Technical University, 11 Mira Ave., Omsk, 644050 Russia
Full-text PDF (152 kB) Citations (3)
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Abstract: We consider two-step extragradient method. This method is used for solving variational inequalities and related problems. We show the convergence of the method in a finite number of iterations when the condition of sharpness is fulfilled.
Keywords: optimization, extragradient method, variational inequality, condition of sharpness.
Presented by the member of Editorial Board: I. V. Konnov
Received: 28.03.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 9, Pages 62–65
DOI: https://doi.org/10.3103/S1066369X14090084
Bibliographic databases:
Document Type: Article
UDC: 519.853
Language: Russian
Citation: A. V. Zykina, N. V. Melen'chuk, “Finite number of iterations in the two-step extragradient method”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 9, 75–79; Russian Math. (Iz. VUZ), 58:9 (2014), 62–65
Citation in format AMSBIB
\Bibitem{ZykMel14}
\by A.~V.~Zykina, N.~V.~Melen'chuk
\paper Finite number of iterations in the two-step extragradient method
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 9
\pages 75--79
\mathnet{http://mi.mathnet.ru/ivm8932}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 9
\pages 62--65
\crossref{https://doi.org/10.3103/S1066369X14090084}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906274881}
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  • https://www.mathnet.ru/eng/ivm8932
  • https://www.mathnet.ru/eng/ivm/y2014/i9/p75
    • This publication is cited in the following 3 articles:
    1. S. V. Denysov, V. V. Semenov, “TWO-STAGE PROXIMAL ALGORITHMS FOR EQUILIBRIUM PROBLEMS IN HADAMARD SPACES”, JNAM, 2024, no. 2, 5  crossref
    2. V. V. Semenov, Ya. I. Vedel, S. V. Denisov, “CONVERGENCE OF ADAPTIVE EXTRA-PROXIMAL ALGORITHMS FOR EQUILIBRIUM PROBLEMS IN HADAMARD SPACES”, JNAM, 2022, no. 1, 62  crossref
    3. Ya. I. Vedel, E. N. Golubeva, V. V. Semenov, “FINITE CONVERGENCE OF TWO-STAGE ALGORITHMS FOR SOLVING OF EQUILIBRIUM PROBLEMS”, JNAM, 2019, no. 3 (132), 21  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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