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Avtomatika i Telemekhanika, 1983, Issue 6, Pages 5–31 (Mi at5135)  

This article is cited in 7 scientific papers (total in 7 papers)

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The theory of and methods to solve complementarity problems

Ya. M. Bershchanskii, M. V. Meerov

Moscow
Abstract: In the complementarity problem a pair of points is found in an ?z-dimensional space that are related in a certain functional way and whose coordinates are nonnegative while in each pair of associated coordinates a maximum of one quantity is nonzero. Theorems of existence and methods to solve linear and nonlinear complementarity problems and extensions to the case of infinitedimensional functional spaces are discussed. Such problems have numerous applications in mechanics, economics, and optimal control.

Received: 09.03.1982
Bibliographic databases:
Document Type: Article
UDC: 62-508
Language: Russian
Citation: Ya. M. Bershchanskii, M. V. Meerov, “The theory of and methods to solve complementarity problems”, Avtomat. i Telemekh., 1983, no. 6, 5–31; Autom. Remote Control, 44:6 (1983), 687–710
Citation in format AMSBIB
\Bibitem{BerMee83}
\by Ya.~M.~Bershchanskii, M.~V.~Meerov
\paper The theory of and methods to solve complementarity problems
\jour Avtomat. i Telemekh.
\yr 1983
\issue 6
\pages 5--31
\mathnet{http://mi.mathnet.ru/at5135}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=726647}
\zmath{https://zbmath.org/?q=an:0527.90095}
\transl
\jour Autom. Remote Control
\yr 1983
\vol 44
\issue 6
\pages 687--710
Linking options:
  • https://www.mathnet.ru/eng/at5135
  • https://www.mathnet.ru/eng/at/y1983/i6/p5
  • 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
    Avtomatika i Telemekhanika
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