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Sibirskii Zhurnal Vychislitel'noi Matematiki
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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
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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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\pages 349--359
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\transl
\jour Num. Anal. Appl.
\yr 2015
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\issue 4
\pages 285--292
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    • This publication is cited in the following 1 articles:
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    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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