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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 4, Pages 576–582
(Mi zvmmf480)
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This article is cited in 4 scientific papers (total in 4 papers)
An extension of the conditional gradient method to a class of nonconvex optimization problems
Yu. A. Chernyaev Kazan State University of Technology, ul. Karla Marksa 10, Kazan, 420111, Tatarstan, Russia
Abstract:
The conditional gradient method is extended to the case when the feasible set is the set-the-oretic difference of a certain convex set and the union of several convex sets. Necessary extremum conditions are used to prove the convergence of the method.
Key words:
set-theoretic difference, necessary condition for a local minimum, convergence of an algorithm.
Received: 29.06.2005
Citation:
Yu. A. Chernyaev, “An extension of the conditional gradient method to a class of nonconvex optimization problems”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006), 576–582; Comput. Math. Math. Phys., 46:4 (2006), 548–553
Linking options:
https://www.mathnet.ru/eng/zvmmf480 https://www.mathnet.ru/eng/zvmmf/v46/i4/p576
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Statistics & downloads: |
Abstract page: | 325 | Full-text PDF : | 119 | References: | 50 | First page: | 1 |
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