Criteria of Satisfiability for Homogeneous Systems of Linear Diophantine Constraints

  • Authors:
  • Sergey Krivoi

  • Affiliations:
  • -

  • Venue:
  • PPAM '01 Proceedings of the th International Conference on Parallel Processing and Applied Mathematics-Revised Papers
  • Year:
  • 2001

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Abstract

This paper describes an incremental algorithm for computing a minimal supported set of solutions for homogeneous systems of linear Diophantine equations (HSLDE) over the set of natural numbers N, which can also be applied to the homogeneous systems of linear Diophantine inequations (HSLDI) and mixed systems.