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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2015, Volume 18, Number 4, Pages 349–359
DOI: https://doi.org/10.15372/SJNM20150401 (Mi sjvm587) 		 
This article is cited in 1 scientific paper (total in 1 paper)

An algorithm of the simplex method using a dual basis

G. I. Zabinyako

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev pr., Novosibirsk, 630090, Russia
Full-text PDF (427 kB) Citations (1)
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DOI: https://doi.org/10.15372/SJNM20150401
Abstract: An algorithm of the simplex method not requiring an explicit updating of the $LU$ decomposition in iterations is considered. Solutions obtained with fixed $LU$ factors are corrected using small auxiliary matrices. The results of numerical experiments are presented.
Key words: $LU$-decomposition, decomposition updating, sparse matrices, simplex method, linear programming.
Received: 05.03.2015
Revised: 13.04.2015
English version:
Numerical Analysis and Applications, 2015, Volume 8, Issue 4, Pages 285–292
DOI: https://doi.org/10.1134/S1995423915040011
Bibliographic databases:
Document Type: Article
UDC: 519.852.61
Language: Russian
Citation: G. I. Zabinyako, “An algorithm of the simplex method using a dual basis”, Sib. Zh. Vychisl. Mat., 18:4 (2015), 349–359; Num. Anal. Appl., 8:4 (2015), 285–292
Citation in format AMSBIB
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\by G.~I.~Zabinyako
\paper An algorithm of the simplex method using a~dual basis
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\issue 4
\pages 349--359
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\transl
\jour Num. Anal. Appl.
\yr 2015
\vol 8
\issue 4
\pages 285--292
\crossref{https://doi.org/10.1134/S1995423915040011}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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