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Bulletin of Irkutsk State University. Series Mathematics, 2011, Volume 4, Issue 2, Pages 134–146 (Mi iigum111)  

This article is cited in 1 scientific paper (total in 1 paper)

Search of generalized solutions to improper linear and convex programming problems using barrier functions

L. D. Popov

Institute of mathematics and mechanics of UB RAS, 16, S. Kovalevskaja St., Yekaterinburg, 620219
Full-text PDF (360 kB) Citations (1)
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Abstract: We propose to seek generalized solutions to improper linear and convex mathematical programs of 1-th kind by means a special combination of both inner and external penalty functions. The algorithm schemas and convergence theorems are presented.
Keywords: improper mathematical programming problems, optimal correction methods, penalty functions, central path.
Document Type: Article
UDC: 519.658.4
Language: Russian
Citation: L. D. Popov, “Search of generalized solutions to improper linear and convex programming problems using barrier functions”, Bulletin of Irkutsk State University. Series Mathematics, 4:2 (2011), 134–146
Citation in format AMSBIB
\Bibitem{Pop11}
\by L.~D.~Popov
\paper Search of generalized solutions to improper linear and convex programming problems using barrier functions
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2011
\vol 4
\issue 2
\pages 134--146
\mathnet{http://mi.mathnet.ru/iigum111}
Linking options:
  • https://www.mathnet.ru/eng/iigum111
  • https://www.mathnet.ru/eng/iigum/v4/i2/p134
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:270
    Full-text PDF :80
    References:55
     
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