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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 4, Pages 611–615 (Mi zvmmf3)  

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
Full-text PDF (660 kB) Citations (2)
References:
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
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 4, Pages 589–593
DOI: https://doi.org/10.1134/S0965542509040034
Bibliographic databases:
Document Type: Article
UDC: 519.698
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v49/i4/p611
  • This publication is cited in the following 2 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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    Abstract page:342
    Full-text PDF :113
    References:63
    First page:9
     
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