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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 1, Pages 88–98 (Mi zvmmf5441)  
This article is cited in 11 scientific papers (total in 11 papers)

A second-order method for the discrete min-max problem

V. M. Panin

Kiev
Full-text PDF (921 kB) Citations (11)
Abstract: An iterative second-order method, using quadratic approximation of the constraints, is described for solving the general problem of mathematical programming. The rate of convergence is shown to be superlinear, with exponent $3/2$, without demanding that the minimum point be regular. The domain of convergence is extended by adjustment of the step factor.
Received: 01.07.1977
Revised: 14.02.1978
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 1, Pages 90–100
DOI: https://doi.org/10.1016/0041-5553(79)90069-7
Bibliographic databases:
Document Type: Article
UDC: 519.8
MSC: Primary 90C30; Secondary 49J35
Language: Russian
Citation: V. M. Panin, “A second-order method for the discrete min-max problem”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979), 88–98; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 90–100
Citation in format AMSBIB
\Bibitem{Pan79}
\by V.~M.~Panin
\paper A~second-order method for the discrete min-max problem
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 1
\pages 88--98
\mathnet{http://mi.mathnet.ru/zvmmf5441}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=525468}
\zmath{https://zbmath.org/?q=an:0429.90067}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 1
\pages 90--100
\crossref{https://doi.org/10.1016/0041-5553(79)90069-7}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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