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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 3, Pages 44–49
DOI: https://doi.org/10.21538/0134-4889-2016-22-3-44-49 (Mi timm1320) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A new class of theorems of the alternative

A. I. Golikov, Yu. G. Evtushenko

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences
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DOI: https://doi.org/10.21538/0134-4889-2016-22-3-44-49
Abstract: The connection is established between theorems of the alternative for linear systems of equations and/or inequalities and duality theorems in linear programming. We give new versions of theorems of the alternative in which the alternative systems have different matrices of various sizes.
Keywords: theorems of the alternative, systems of linear equations and inequalities, linear programming, duality.
Funding agency Grant number
Russian Foundation for Basic Research 14-07-00805
15-01-08259
Ministry of Education and Science of the Russian Federation НШ-8860.2016.1
Ministry of Education and Science of the Republic of Kazakhstan 0115РК00554
Received: 21.04.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 299, Issue 1, Pages 31–36
DOI: https://doi.org/10.1134/S008154381709005X
Bibliographic databases:
Document Type: Article
UDC: 519.853.65
MSC: 90C05, 90C46
Language: Russian
Citation: A. I. Golikov, Yu. G. Evtushenko, “A new class of theorems of the alternative”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 3, 2016, 44–49; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 31–36
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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