A New Class of Theorems of the Alternative
- Authors: Golikov A.I.1, Evtushenko Y.G.1
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Affiliations:
- Dorodnitsyn Computing Center
- Issue: Vol 299, No Suppl 1 (2017)
- Pages: 31-36
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175224
- DOI: https://doi.org/10.1134/S008154381709005X
- ID: 175224
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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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