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.

Збережено в:
Бібліографічні деталі
Дата:2001
Автори: Ostapenko, V. V., Finin, G. S., Остапенко, В. В., Финин, Г. С.
Формат: Стаття
Мова:Російська
Англійська
Опубліковано: Institute of Mathematics, NAS of Ukraine 2001
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/4220
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Резюме: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.