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 (www.arxiv.org) 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
1/2018
HomotopyContinuation.jl - a package for solving systems of polynomial equations in Julia
Paul Breiding and Sascha Timme
Abstract
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 juliahomotopycontinuation.github.io/latest/.
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.
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)
