MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

HomotopyContinuation.jl - a package for solving systems of polynomial equations in Julia

Paul Breiding and Sascha Timme


This paper is gives a short introduction into HomotopyContinuation.jl, a polynomial equations solver for Julia [1]. It present excerpts from the comprehensive documentation available at

The aim of this project is twofold: establishing a fast numerical polynomial solver in Julia and at the same time providing a highly customizable algorithmic environment for researchers for designing and performing individual experiments.

[1] J. Bezanson, A. Edelman, S. Karpinski and V. Shah: Julia: A fresh approach to numerical computing, SIAM Review, 59(1) (2017), 65-98.


Related publications

2018 Repository Open Access
Paul Breiding and Sascha Timme

HomotopyContinuation.jl : a package for homotopy continuation in Julia

In: Mathematical software ICMS 2018 : 6th international conference, South Bend, IN, USA, July 24-27, 2018, proceedings / James Davenport... (eds.)
Cham : Springer, 2018. - pp. 458-465
(Lecture notes in computer science ; 10931)