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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 3, Pages 397–413 (Mi zvmmf313)  
This article is cited in 21 scientific papers (total in 21 papers)

Local search in problems with nonconvex constraints

T. V. Gruzdeva, A. S. Strekalovskii

Institute of System Dynamics and Control Theory, Siberian Division, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia
Full-text PDF (2005 kB) Citations (21)
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Abstract: Nonconvex optimization problems with an inequality constraint given by the difference of two convex functions (by a d.c. function) are considered. Two methods for finding local solutions to this problem are proposed that combine the solution of partially linearized problems and descent to a level surface of the d.c. function. The convergence of the methods is analyzed, and stopping criterions are proposed. The methods are compared by testing them in a numerical experiment.
Key words: difference of two convex functions, local search, linearized problem, level surface, critical point.
Received: 07.08.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 3, Pages 381–396
DOI: https://doi.org/10.1134/S0965542507030049
Bibliographic databases:
Document Type: Article
UDC: 519.852.6
Language: Russian
Citation: T. V. Gruzdeva, A. S. Strekalovskii, “Local search in problems with nonconvex constraints”, Zh. Vychisl. Mat. Mat. Fiz., 47:3 (2007), 397–413; Comput. Math. Math. Phys., 47:3 (2007), 381–396
Citation in format AMSBIB
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\by T.~V.~Gruzdeva, A.~S.~Strekalovskii
\paper Local search in problems with nonconvex constraints
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 3
\pages 397--413
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2348290}
\zmath{https://zbmath.org/?q=an:05200989}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 3
\pages 381--396
\crossref{https://doi.org/10.1134/S0965542507030049}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247159679}
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  • https://www.mathnet.ru/eng/zvmmf/v47/i3/p397
    • This publication is cited in the following 21 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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    Full-text PDF :173
    References:67
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