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Avtomatika i Telemekhanika, 2015, Issue 10, Pages 113–130 (Mi at14295)  

This article is cited in 3 scientific papers (total in 3 papers)

System Analysis and Operations Research

On the problem polyhedral separability: a numerical solution

A. S. Strekalovsky, T. V. Gruzdeva, A. V. Orlov

Matrosov Institute for System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia
Full-text PDF (273 kB) Citations (3)
References:
Abstract: Using the piecewise-linear function, consideration was given to the problem of separation of the sets whose convex hulls have nonempty intersections. For the problem of polyhedral separability, an algorithm to solve the equivalent optimization problem of seeking the family of separating hyperplanes was proposed and substantiated. Its efficiency was demonstrated by way of a numerical experiment.
Presented by the member of Editorial Board: A. A. Lazarev

Received: 26.12.2014
English version:
Automation and Remote Control, 2015, Volume 76, Issue 10, Pages 1803–1816
DOI: https://doi.org/10.1134/S0005117915100082
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Strekalovsky, T. V. Gruzdeva, A. V. Orlov, “On the problem polyhedral separability: a numerical solution”, Avtomat. i Telemekh., 2015, no. 10, 113–130; Autom. Remote Control, 76:10 (2015), 1803–1816
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at14295
  • https://www.mathnet.ru/eng/at/y2015/i10/p113
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Abstract page:223
    Full-text PDF :70
    References:56
    First page:18
     
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