A New Class of Theorems of the Alternative


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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.

About the authors

A. I. Golikov

Dorodnitsyn Computing Center

Author for correspondence.
Email: gol-a@yandex.ru
Russian Federation, Moscow, 119333

Yu. G. Evtushenko

Dorodnitsyn Computing Center

Email: gol-a@yandex.ru
Russian Federation, Moscow, 119333

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