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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 6, Pages 1021–1036 (Mi zvmmf4703)  
This article is cited in 3 scientific papers (total in 3 papers)

Coordinate relaxation methods for multivalued complementarity problems

I. V. Konnov

Faculty of Computational Mathematics and Cybernetics, Kazan State University, ul. Kremlevskaya 18, Kazan, 420008, Russia
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Abstract: Methods of the Jacobi and Gauss–Seidel type with underrelaxation and a combined method of the splitting type are proposed for complementarity problems with multivalued mappings. The convergence of these methods to the solution is proved under the conditions that the basic mapping is upper off-diagonal antitone and the feasible set is nonempty. The numerical results obtained for test examples are presented.
Key words: complementarity problem, multivalued mapping, off-diagonal antitonicity, underrelaxation methods, coordinate descent.
Received: 10.04.2008
Revised: 26.06.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 6, Pages 979–993
DOI: https://doi.org/10.1134/S0965542509060074
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: I. V. Konnov, “Coordinate relaxation methods for multivalued complementarity problems”, Zh. Vychisl. Mat. Mat. Fiz., 49:6 (2009), 1021–1036; Comput. Math. Math. Phys., 49:6 (2009), 979–993
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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