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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 1, Pages 43–57 (Mi zvmmf3321)  
This article is cited in 21 scientific papers (total in 22 papers)

Exact auxiliary functions in optimization problems

Yu. G. Evtushenko, V. G. Zhadan

Moscow
Full-text PDF (1641 kB) Citations (22)
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Abstract: The concept of an exact auxiliary function such that the problem of minimizing it has the same set of solutions as the original optimization problem. Sufficient conditions are given for the auxiliary functions to be exact and examples of such functions are described. The introduction of exact auxiliary functions makes it possible to reduce the solution of the original problem to single minimization of an auxiliary function. The constrained optimization problem often reduces to unconstrained optimization.
Received: 27.02.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 1, Pages 31–42
DOI: https://doi.org/10.1016/0041-5553(90)90005-D
Bibliographic databases:
Document Type: Article
UDC: 519.85
MSC: Primary 90C30; Secondary 49M30, 65K05
Language: Russian
Citation: Yu. G. Evtushenko, V. G. Zhadan, “Exact auxiliary functions in optimization problems”, Zh. Vychisl. Mat. Mat. Fiz., 30:1 (1990), 43–57; U.S.S.R. Comput. Math. Math. Phys., 30:1 (1990), 31–42
Citation in format AMSBIB
\Bibitem{EvtZha90}
\by Yu.~G.~Evtushenko, V.~G.~Zhadan
\paper Exact auxiliary functions in optimization problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 1
\pages 43--57
\mathnet{http://mi.mathnet.ru/zvmmf3321}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1043154}
\zmath{https://zbmath.org/?q=an:0695.90083}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 1
\pages 31--42
\crossref{https://doi.org/10.1016/0041-5553(90)90005-D}
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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