Implementing real polyhedral homotopy
Algebraic Geometry
2024-06-05 v2 Numerical Analysis
Combinatorics
Numerical Analysis
Abstract
We implement a real polyhedral homotopy method using three functions. The first function provides a certificate that our real polyhedral homotopy is applicable to a given system; the second function generates binomial systems for a start system; the third function outputs target solutions from the start system obtained by the second function. This work realizes the theoretical contributions in \cite{ergur2019polyhedral} as easy to use functions, allowing for further investigation into real homotopy algorithms.
Keywords
Cite
@article{arxiv.2207.05323,
title = {Implementing real polyhedral homotopy},
author = {Kisun Lee and Julia Lindberg and Jose Israel Rodriguez},
journal= {arXiv preprint arXiv:2207.05323},
year = {2024}
}
Comments
13 pages, 1 figure, Version to appear in Journal of Software for Algebra and Geometry