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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 5, Pages 832–835 (Mi zvmmf4873)  
This article is cited in 4 scientific papers (total in 4 papers)

Iterative algorithm for mathematical programming problems with preconvex constraints

T. F. Minnibaev, Yu. A. Chernyaev

Kazan State Technical University, ul. K. Marksa 10, Kazan, 420111 Tatarstan, Russia
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Abstract: An iterative algorithm is proposed for minimizing a convex function on a set defined as the set-theoretic difference between a convex set and the union of several convex sets. The convergence of the algorithm is proved in terms of necessary conditions for a local minimum.
Key words: preconvex set, convex programming problem, necessary condition for a local minimum, convergence of an iterative algorithm.
Received: 12.01.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 5, Pages 792–794
DOI: https://doi.org/10.1134/S0965542510050040
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: T. F. Minnibaev, Yu. A. Chernyaev, “Iterative algorithm for mathematical programming problems with preconvex constraints”, Zh. Vychisl. Mat. Mat. Fiz., 50:5 (2010), 832–835; Comput. Math. Math. Phys., 50:5 (2010), 792–794
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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