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Numerical methods and programming, 2006, Volume 7, Issue 3, Pages 202–210 (Mi vmp594)  
This article is cited in 2 scientific papers (total in 2 papers)

Вычислительные методы и приложения

Newton's method for solving equilibrium problems

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

a Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
b Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
c University of Montenegro
Full-text PDF (154 kB) Citations (2)
Abstract: A regularized Newton's method is proposed for solving unstable equilibrium problems in the case when the corresponding objective function is inaccurately specified. The convergence of this method is analyzed and a regularizing operator is constructed.
Keywords: equilibrium programming, regularization, Newton's method, numerical methods of optimization, linear programming.
Document Type: Article
UDC: 519.6:519.853.6
Language: Russian
Citation: A. S. Antipin, F. P. Vasil'ev, A. S. Stukalov, M. Jaćimović, “Newton's method for solving equilibrium problems”, Num. Meth. Prog., 7:3 (2006), 202–210
Citation in format AMSBIB
\Bibitem{AntVasStu06}
\by A.~S.~Antipin, F.~P.~Vasil'ev, A.~S.~Stukalov, M.~Ja{\'c}imovi{\'c}
\paper Newton's method for solving equilibrium problems
\jour Num. Meth. Prog.
\yr 2006
\vol 7
\issue 3
\pages 202--210
\mathnet{http://mi.mathnet.ru/vmp594}
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  • https://www.mathnet.ru/eng/vmp/v7/i3/p202
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Numerical methods and programming
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