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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 4, Pages 611–615
(Mi zvmmf3)
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This article is cited in 2 scientific papers (total in 2 papers)
An iterative method for minimizing a convex nonsmooth function on a convex smooth surface
Yu. A. Chernyaev Kazan State Technical University, ul. Karla Marksa 10, Kazan, 420111, Tatarstan, Russia
Abstract:
An iterative algorithm is proposed for the constrained minimization of a convex nonsmooth function on a set given as a convex smooth surface. The convergence of the algorithm in the sense of necessary conditions for a local minimum is proved.
Key words:
conditional subdifferential, necessary condition for local minimum, convergence of iterative algorithm, minimization of nonsmooth function.
Received: 14.07.2008
Citation:
Yu. A. Chernyaev, “An iterative method for minimizing a convex nonsmooth function on a convex smooth surface”, Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009), 611–615; Comput. Math. Math. Phys., 49:4 (2009), 589–593
Linking options:
https://www.mathnet.ru/eng/zvmmf3 https://www.mathnet.ru/eng/zvmmf/v49/i4/p611
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Statistics & downloads: |
Abstract page: | 342 | Full-text PDF : | 113 | References: | 63 | First page: | 9 |
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