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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 3, Pages 340–345
DOI: https://doi.org/10.7868/S0044466918030031 (Mi zvmmf10687) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Newton's method for minimizing a convex twice differentiable function on a preconvex set

V. I. Zabotin, Yu. A. Chernyaev

Kazan National Research Technical University, Kazan, Russia
Citations (4)
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DOI: https://doi.org/10.7868/S0044466918030031
Abstract: The problem of minimizing a convex twice differentiable function on the set-theoretic difference between a convex set and the union of several convex sets is considered. A generalization of Newton's method for solving problems with convex constraints is proposed. The convergence of the algorithm is analyzed.
Key words: Newton's method, preconvex set, quadratic programming problem, necessary conditions for a local minimum, convergence of algorithm.
Received: 05.12.2016
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 3, Pages 322–327
DOI: https://doi.org/10.1134/S0965542518030144
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: V. I. Zabotin, Yu. A. Chernyaev, “Newton's method for minimizing a convex twice differentiable function on a preconvex set”, Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018), 340–345; Comput. Math. Math. Phys., 58:3 (2018), 322–327
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
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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