Existence and Representation of Diophantine and Mixed Diophantine Solutions to Linear Equations and Inequalities.

Abstract

In the paper the authors present necessary and sufficient conditions for the existence of solutions to more general systems of linear diophantine equations and inequalities than have previously been considered. The authors do this in terms of variants and extensions of generalized inverse concepts which also permit them to give representations of the set of all solutions to the systems. The results are further extended to mixed integer systems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1973
Accession Number
AD0763384

Entities

People

  • Abraham Charnes
  • F. Granot

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Equations
  • Inequalities

Fields of Study

  • Mathematics

Readers

  • Linear Algebra