Inequality Systems

  • Josef Stoer
  • Christoph Witzgall
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 163)


This chapter examines finite systems of linear inequalities and equations over a commutative ordered field as for instance the field of real numbers. It uses the oldest and most straightforward approach. There is no concern for geometrical interpretations or arithmetical efficiency as in other chapters. The systems are viewed as sets of relations, either true or false, and their logical structure and interdependence is investigated.


Feasible Solution Consequence Relation Duality Theorem Dual Pair Elimination Procedure 
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Copyright information

© Springer-Verlag Berlin · Heidelberg 1970

Authors and Affiliations

  • Josef Stoer
    • 1
  • Christoph Witzgall
    • 2
  1. 1.Universität WürzburgDeutschland
  2. 2.Boeing Scientific Research LaboratoriesSeattleUSA

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