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

• Date: 2001
• Main Authors: Ostapenko, V. V., Finin, G. S., Остапенко, В. В., Финин, Г. С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4220
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.