Geodesic
A new class of theorems of the alternative
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 3, pp. 44-49

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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.
Keywords: theorems of the alternative, systems of linear equations and inequalities, linear programming, duality. 
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     author = {A. I. Golikov and Yu. G. Evtushenko},
     title = {A new class of theorems of the alternative},
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     url = {http://geodesic.mathdoc.fr/item/TIMM_2016_22_3_a4/}
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A. I. Golikov; Yu. G. Evtushenko. A new class of theorems of the alternative. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 3, pp. 44-49. http://geodesic.mathdoc.fr/item/TIMM_2016_22_3_a4/