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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 2, Pages 217–230 (Mi zvmmf3305)  
This article is cited in 5 scientific papers (total in 5 papers)

Reduced-direction methods with feasible points in nonlinear programming

V. S. Izhutkin, M. Yu. Kokurin

Ioshkar-Ola
Full-text PDF (1464 kB) Citations (5)
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Abstract: An approach to the construction of feasible direction type methods of nonlinear programming is proposed. The approach relies on linearization of the active constraints, which reduces the problem of choosing a direction of descent of the objective function inside the feasible region to an unconstrained direction-choosing problem for an auxiliary function in a lower-dimensional space. The approach is developed for problems with inequality constraints and extended to problems with both inequality and equality constraints.
Received: 17.08.1988
Revised: 24.07.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 1, Pages 159–169
DOI: https://doi.org/10.1016/0041-5553(90)90025-N
Bibliographic databases:
Document Type: Article
UDC: 519.853.6
MSC: Primary 90C30; Secondary 65K05
Language: Russian
Citation: V. S. Izhutkin, M. Yu. Kokurin, “Reduced-direction methods with feasible points in nonlinear programming”, Zh. Vychisl. Mat. Mat. Fiz., 30:2 (1990), 217–230; U.S.S.R. Comput. Math. Math. Phys., 30:1 (1990), 159–169
Citation in format AMSBIB
\Bibitem{IzhKok90}
\by V.~S.~Izhutkin, M.~Yu.~Kokurin
\paper Reduced-direction methods with feasible points in nonlinear programming
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 2
\pages 217--230
\mathnet{http://mi.mathnet.ru/zvmmf3305}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1045420}
\zmath{https://zbmath.org/?q=an:0697.90066}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 1
\pages 159--169
\crossref{https://doi.org/10.1016/0041-5553(90)90025-N}
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    • This publication is cited in the following 5 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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    References:60
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