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Numerical methods and programming, 2011, Volume 12, Issue 4, Pages 423–434 (Mi vmp211)  

This article is cited in 2 scientific papers (total in 2 papers)

Вычислительные методы и приложения

A parallel algorithm for solving strong separability problem on the basis of Fejer mappings

A. V. Ershova, I. M. Sokolinskaya

South Ural State University, Chelyabinsk
Full-text PDF (690 kB) Citations (2)
Abstract: An approach to solving the problem of separating two convex nonintersecting polyhedrons by the layer of maximum thickness is proposed. A parallel algorithm based on a method of using Fejer mappings is described. This algorithm admits an efficient implementation on the massively parallel multiprocessor systems. The results of computing experiments confirming the efficiency of the proposed approach are discussed. This work was supported by the Russian Foundation for Basic Research (project N 09-01-00546а).
Keywords: strong separability; Fejer mappings; parallel programming; pseudoprojection; iterative process; pattern recognition.
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. V. Ershova, I. M. Sokolinskaya, “A parallel algorithm for solving strong separability problem on the basis of Fejer mappings”, Num. Meth. Prog., 12:4 (2011), 423–434
Citation in format AMSBIB
\Bibitem{ErsSok11}
\by A.~V.~Ershova, I.~M.~Sokolinskaya
\paper A parallel algorithm for solving strong separability problem
on the basis of Fejer mappings
\jour Num. Meth. Prog.
\yr 2011
\vol 12
\issue 4
\pages 423--434
\mathnet{http://mi.mathnet.ru/vmp211}
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  • https://www.mathnet.ru/eng/vmp/v12/i4/p423
  • 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
    Numerical methods and programming
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