Documentation | Build Status |
---|---|
HomotopyContinuation.jl is a Julia package for solving systems of polynomial equations by numerical homotopy continuation.
See juliahomotopycontinuation.org for installation instructions, full content overview and detailed documentation.
HomotopyContinuation.jl aims at having easy-to-understand top-level commands. Here is a simple example:
using HomotopyContinuation
@polyvar x y; # declare the variables x and y
result = solve([x^2+2y, y^2-2])
Result with 4 solutions
==================================
• 4 non-singular solutions (2 real)
• 0 singular solutions (0 real)
• 4 paths tracked
• random seed: 902575
For more see our user guides.
If you find HomotopyContinuation.jl useful in your work, we kindly request that you cite the following paper:
@inproceedings{HomotopyContinuation.jl,
title={HomotopyContinuation.jl: A Package for Homotopy Continuation in Julia},
author={Breiding, Paul and Timme, Sascha},
booktitle={International Congress on Mathematical Software},
pages={458--465},
year={2018},
organization={Springer}
}
A preprint of this paper is freely available.