Numerical Irreducible Decomposition in Julia

Paul Breiding

Numerical Irreducible Decomposition in Julia

Algebraic Geometry 2026-08-03 v1

Authors: Paul Breiding

Abstract

This article introduces a new implementation for computing a numerical irreducible decomposition for a system of polynomial equations. The implementation is part of the software package HomotopyContinuation.jl written in the programming language Julia.

Cite

@article{arxiv.2608.01966,
  title  = {Numerical Irreducible Decomposition in Julia},
  author = {Paul Breiding},
  journal= {arXiv preprint arXiv:2608.01966},
  year   = {2026}
}