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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 3, Pages 350–364
DOI: https://doi.org/10.7868/S0044466913030071 (Mi zvmmf9883) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Finding bifurcations for solutions of nonlinear equations by quadratic programming methods

A. A. Ivanova, Ya. Sh. Il'yasovb

a Bashkir State University, Ufa
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa
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DOI: https://doi.org/10.7868/S0044466913030071
Abstract: The authors study solution to nonlinear equations bifurcation of the turn point type. Here method of extended functional is used and bifurcation is found as solution to variational problems of minimax type. Iteration algorithm is constructed on the ground of the steepest descend for the piecewise-smooth maps.
Key words: bifurcation of solutions; minimax problem; steepest ascend direction; nonlinear elliptic equations; quadratic programming.
Received: 21.06.2012
Revised: 28.08.2012
Bibliographic databases:
Document Type: Article
UDC: 519.658
MSC: 90C20
Language: Russian
Citation: A. A. Ivanov, Ya. Sh. Il'yasov, “Finding bifurcations for solutions of nonlinear equations by quadratic programming methods”, Zh. Vychisl. Mat. Mat. Fiz., 53:3 (2013), 350–364
Citation in format AMSBIB
\Bibitem{IvaIly13}
\by A.~A.~Ivanov, Ya.~Sh.~Il'yasov
\paper Finding bifurcations for solutions of nonlinear equations by quadratic programming methods
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2013
\vol 53
\issue 3
\pages 350--364
\mathnet{http://mi.mathnet.ru/zvmmf9883}
\crossref{https://doi.org/10.7868/S0044466913030071}
\zmath{https://zbmath.org/?q=an:06188983}
\elib{https://elibrary.ru/item.asp?id=18822253}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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