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Zh. Vychisl. Mat. Mat. Fiz., 2013, Volume 53, Number 3, Pages 350–364 (Mi zvmmf9883)  

This article is cited in 2 scientific papers (total in 2 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

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.

DOI: https://doi.org/10.7868/S0044466913030071

Full text: PDF file (286 kB)
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Bibliographic databases:

UDC: 519.658
MSC: 90C20
Received: 21.06.2012
Revised: 28.08.2012

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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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Bobkov V., Il'yasov Ya., “Maximal Existence Domains of Positive Solutions For Two-Parametric Systems of Elliptic Equations”, Complex Var. Elliptic Equ., 61:5 (2016), 587–607  crossref  mathscinet  zmath  isi  elib  scopus
    2. Il'yasov Ya., Ivanov A., “Computation of Maximal Turning Points To Nonlinear Equations By Nonsmooth Optimization”, Optim. Method Softw., 31:1 (2016), 1–23  crossref  mathscinet  zmath  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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