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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 2, Pages 307–313 (Mi zvmmf4535)  
This article is cited in 6 scientific papers (total in 6 papers)

Methods of finding the global minimum of a quasi-concave function

N. S. Vasil'ev

Moscow
Full-text PDF (818 kB) Citations (6)
Abstract: The class of multi-extremal problems in which the minimum of a quasi-concave function in a convex compact set is sought, is considered. Methods are given for finding the global extremum, consisting of the minimization of linear functions of a specially chosen family. Estimates are proved for the approximate solution of the problem, dependent on the accuracy of the approximation of the convex sets by polyhedra.
Received: 22.04.1981
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 2, Pages 31–35
DOI: https://doi.org/10.1016/S0041-5553(83)80044-5
Bibliographic databases:
Document Type: Article
UDC: 519.85
MSC: Primary 90C30; Secondary 65K05, 49M37
Language: Russian
Citation: N. S. Vasil'ev, “Methods of finding the global minimum of a quasi-concave function”, Zh. Vychisl. Mat. Mat. Fiz., 23:2 (1983), 307–313; U.S.S.R. Comput. Math. Math. Phys., 23:2 (1983), 31–35
Citation in format AMSBIB
\Bibitem{Vas83}
\by N.~S.~Vasil'ev
\paper Methods of finding the global minimum of a quasi-concave function
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 2
\pages 307--313
\mathnet{http://mi.mathnet.ru/zvmmf4535}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=698218}
\zmath{https://zbmath.org/?q=an:0541.90083}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 2
\pages 31--35
\crossref{https://doi.org/10.1016/S0041-5553(83)80044-5}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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