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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 2, Pages 208–223
DOI: https://doi.org/10.7868/S0044466914020045 (Mi zvmmf9988) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A relaxation method for minimizing a smooth function on a generalized spherical segment

A. M. Dulliev

Kazan Typolev State Technological University, ul. Karla Marksa 10, Kazan, 420111, Tatarstan, Russia
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DOI: https://doi.org/10.7868/S0044466914020045
Abstract: The minimization of a smooth functional on a generalized spherical segment of a finite-dimensional Euclidean space is examined. A relaxation method that involves successive projections of the antigradient onto auxiliary sets of a simpler structure is proposed. It is shown that, under certain natural assumptions, this method converges to a stationary point.
Key words: nonconvex optimization problems, gradient projection method, relaxation method, convergence, Lipschitz condition, spherical segment, tangent cone.
Received: 14.01.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 2, Pages 219–234
DOI: https://doi.org/10.1134/S0965542514020043
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: A. M. Dulliev, “A relaxation method for minimizing a smooth function on a generalized spherical segment”, Zh. Vychisl. Mat. Mat. Fiz., 54:2 (2014), 208–223; Comput. Math. Math. Phys., 54:2 (2014), 219–234
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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