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.

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Bibliographic Details
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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal