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arXiv · 2207.05323

Implementing real polyhedral homotopy

Kisun Lee·Julia Lindberg·Jose Israel Rodriguez
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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.

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Kisun Lee, Julia Lindberg, Jose Israel Rodriguez. 2022-07-12. Implementing real polyhedral homotopy. https://doi.org/10.2140/jsag.2024.14.59

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