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Ukrainian Mathematical Journal

, Volume 53, Issue 1, pp 59–66 | Cite as

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

  • V. V. Ostapenko
  • G. S. Finin
Article
  • 21 Downloads

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.

Keywords

Linear Inequality Generalize Conservation Helly Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • V. V. Ostapenko
    • 1
  • G. S. Finin
    • 2
  1. 1.Institute of Applied System Analysis, Ukrainian Academy of Sciences, Ukrainian Ministry of Education and ScienceKiev
  2. 2.Solomon International UniversityKiev

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