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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 1, Pages 98–109
(Mi smj2070)
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This article is cited in 7 scientific papers (total in 7 papers)
The Farkas Lemma revisited
S. S. Kutateladze Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
Boolean valued analysis is applied to deriving operator versions of the classical Farkas Lemma in the theory of simultaneous linear inequalities.
Keywords:
Dedekind complete vector lattice, linear programming, linear inequalities, sublinear polyhedral inequalities, interval equations, alternative theorem, Boolean valued model.
Received: 25.06.2009
Citation:
S. S. Kutateladze, “The Farkas Lemma revisited”, Sibirsk. Mat. Zh., 51:1 (2010), 98–109; Siberian Math. J., 51:1 (2010), 78–87
Linking options:
https://www.mathnet.ru/eng/smj2070 https://www.mathnet.ru/eng/smj/v51/i1/p98
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Abstract page: | 622 | Full-text PDF : | 393 | References: | 87 | First page: | 12 |
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