A New Class of Theorems of the Alternative
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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.
Keywordstheorems of the alternative systems of linear equations and inequalities linear programming duality.
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- 2.F. Giannessi, “Theorems of the alternative and optimization,” in Encyclopedia of Optimization (Kluwer Acad., Dordrecht, 2001), Vol. 5, pp. 437–444.Google Scholar