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Existence Theorems for Linear Systems

  • Michael J. Panik
Chapter
Part of the Theory and Decision Library book series (TDLB, volume 24)

Abstract

This chapter is concerned with the existence of solutions to dual homogeneous linear systems. In this regard, we shall deal with pairs of finite systems of homogeneous linear equations and/or inequalities in which the variables are either nonnegative or unrestricted in sign. Specifically, these systems are structured in a fashion such that there is a one-to-one correspondence between unrestricted variables in one system and equations in the other; and between nonnegative variables in one system and inequalities in the other. Moreover, the coefficient matrix in one system is the negative transpose of the coefficient matrix of the other.

Keywords

Linear System Coefficient Matrix Existence Theorem Dual System Finite System 
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

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  • Michael J. Panik
    • 1
  1. 1.Department of EconomicsUniversity of HartfordWest HartfordUSA

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