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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 2, Pages 314–325 (Mi zvmmf5595)  
This article is cited in 3 scientific papers (total in 3 papers)

Two modifications of the linearization method in nonlinear programming

A. I. Golikov, V. G. Zhadan

Moscow
Full-text PDF (1357 kB) Citations (3)
Abstract: In Pshenichnii's linearization method for solving the general problem of non-linear programing, an auxiliary quadratic programming problem is solved at each step. In the two modifications of the linearization method described below, auxiliary problems of linear programming are solved. The properties of these auxiliary problems are studied, the convergence of the methods to the solution of the non-linear programming problem is proved, and features of their numerical realization are discussed.
Received: 04.06.1981
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 2, Pages 36–44
DOI: https://doi.org/10.1016/S0041-5553(83)80045-7
Bibliographic databases:
Document Type: Article
UDC: 519.853.6
MSC: Primary 90C30; Secondary 49M37, 65K05, 90C05
Language: Russian
Citation: A. I. Golikov, V. G. Zhadan, “Two modifications of the linearization method in nonlinear programming”, Zh. Vychisl. Mat. Mat. Fiz., 23:2 (1983), 314–325; U.S.S.R. Comput. Math. Math. Phys., 23:2 (1983), 36–44
Citation in format AMSBIB
\Bibitem{GolZha83}
\by A.~I.~Golikov, V.~G.~Zhadan
\paper Two modifications of the linearization method in nonlinear programming
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 2
\pages 314--325
\mathnet{http://mi.mathnet.ru/zvmmf5595}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=698219}
\zmath{https://zbmath.org/?q=an:0527.90084}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 2
\pages 36--44
\crossref{https://doi.org/10.1016/S0041-5553(83)80045-7}
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  • https://www.mathnet.ru/eng/zvmmf/v23/i2/p314
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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