2017
Том 69
№ 9

All Issues

Methods for the Elimination of Unknowns from Systems of Linear Inequalities and Their Applications

Finin G. S., Ostapenko V. V.

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Abstract

We study methods for the elimination of an unknown or a group of unknowns from systems of linear inequalities. We justify these methods by using the Helly theorem. The methods considered are applied to the calculation of streams in networks with a generalized conservation law.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 1, pp 59-66.

Citation Example: Finin G. S., Ostapenko V. V. Methods for the Elimination of Unknowns from Systems of Linear Inequalities and Their Applications // Ukr. Mat. Zh. - 2001. - 53, № 1. - pp. 50-56.

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