Published January 1, 2024 | Version v1
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A Julia package for Polyhedral Omega and applications

  • 1. Gebze Tech Univ, Dept Comp Engn, Gebze, Kocaeli, Turkiye
  • 2. Middle East Tech Univ, Dept Philosophy, Ankara, Turkiye
  • 3. Univ Geneva, Sect Math, Geneva, Switzerland

Description

This paper introduces a Julia package for tackling linear Diophantine systems and related optimization problems using the Polyhedral Omega algorithm. The package integrates partition analysis and polyhedral geometry to offer efficient solutions. PolyhedralOmega.jl package implements the Polyhedral Omega algorithm, and Optimization.jl provides optimization enhancements.

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