Thu, 21 Aug 2008 00:02:15 BST CiteULike: AbnerCYH's Bartl http://www.citeulike.org/user/AbnerCYH/author/Bartl CiteULike.org en-gb Copyright © 2004-2008 citeulike.org http://www.citeulike.org/user/AbnerCYH/article/2705580 <i>SIAM Journal on Optimization, Vol. 19, No. 1. (2008), pp. 234-239.</i><br /><br />The purpose of this paper is to present a generalization of the Farkas lemma with a short algebraic proof. The generalization lies in the fact that we formulate the Farkas lemma in the setting of two vector spaces over a common linearly ordered field where one of the vector spaces is also linearly ordered. At the end of the paper, we mention the key theorem and two theorems of the alternative, namely Motzkin's theorem and Tucker's theorem. A Short Algebraic Proof of the Farkas Lemma David Bartl SIAM Journal on Optimization, Vol. 19, No. 1. (2008), pp. 234-239. 2008-04-23T05:08:39-00:00 2008 SIAM Journal on Optimization 19 1 234 239 SIAM optimization