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