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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 1, Pages 21–33 (Mi zvmmf343)  
This article is cited in 7 scientific papers (total in 7 papers)

A regularized Newton method for solving equilibrium programming problems with an inexactly specified set

A. S. Antipina, F. P. Vasil'evb, A. S. Stukalovb

a Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
b Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Full-text PDF (1476 kB) Citations (7)
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Abstract: Unstable equilibrium problems are examined in which the objective function and the set where the equilibrium point is sought are specified inexactly. A regularized Newton method, combined with penalty functions, is proposed for solving such problems, and its convergence is analyzed. A regularizing operator is constructed.
Key words: equilibrium programming, regularization, Newton method, penalty functions.
Received: 12.05.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 1, Pages 19–31
DOI: https://doi.org/10.1134/S0965542507010046
Bibliographic databases:
Document Type: Article
UDC: 519.853
Language: Russian
Citation: A. S. Antipin, F. P. Vasil'ev, A. S. Stukalov, “A regularized Newton method for solving equilibrium programming problems with an inexactly specified set”, Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007), 21–33; Comput. Math. Math. Phys., 47:1 (2007), 19–31
Citation in format AMSBIB
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\by A.~S.~Antipin, F.~P.~Vasil'ev, A.~S.~Stukalov
\paper A~regularized Newton method for solving equilibrium programming problems with an inexactly specified set
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 1
\pages 21--33
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2347924}
\zmath{https://zbmath.org/?q=an:05200958}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 1
\pages 19--31
\crossref{https://doi.org/10.1134/S0965542507010046}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947522520}
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  • https://www.mathnet.ru/eng/zvmmf/v47/i1/p21
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:627
    Full-text PDF :235
    References:80
    First page:1
     
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