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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 3, Pages 300–312
DOI: https://doi.org/10.17516/1997-1397-2018-11-3-300-312 (Mi jsfu674) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Study of a logarithmic barrier approach for linear semidefinite programming

Assma Leulmia, Bachir Merikhib, Djamel Benterkib

a Department of Mathematics, University of Skikda, Algeria
b Department of Mathematics, Ferhat Abbas Setif University, Algeria
Full-text PDF (137 kB) Citations (7)
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DOI: https://doi.org/10.17516/1997-1397-2018-11-3-300-312
Abstract: In this paper, we present a logarithmic barrier interior-point method for solving a semidefinite programming problem. Newton's method is used to compute the descent direction, and minorant function are used as an efficient alternative to line search methods to determine the displacement step along the direction in order to reduce the computation cost.
Keywords: semidefinite programming, interior-point methods, logarithmic barrier methods, line search.
Received: 16.04.2017
Received in revised form: 06.12.2017
Accepted: 07.03.2018
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: English
Citation: Assma Leulmi, Bachir Merikhi, Djamel Benterki, “Study of a logarithmic barrier approach for linear semidefinite programming”, J. Sib. Fed. Univ. Math. Phys., 11:3 (2018), 300–312
Citation in format AMSBIB
\Bibitem{LeuMerBen18}
\by Assma~Leulmi, Bachir~Merikhi, Djamel~Benterki
\paper Study of a logarithmic barrier approach for linear semidefinite programming
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 3
\pages 300--312
\mathnet{http://mi.mathnet.ru/jsfu674}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-3-300-312}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000435861500005}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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