Bertini.jl

Julia wrapper for Bertini (https://bertini.nd.edu). Provides the function bertini.

For instance, to solve the polynomial

$$f(x) = x^2 - 1$$

we type

using HomotopyContinuation, Bertini

@var x y
f = [x^2 - 1; x - y]

Bertini.bertini(f)

The full syntax of bertini is as follows

bertini(
    f;
    hom_variable_group = false,
    file_path = mktempdir(),
    bertini_path = "",
    MPTYPE = nothing,
    MAXNEWTONITS = nothing,
    ENDGAMEBDRY = nothing,
    ENDGAMENUM = nothing,
    TrackType = 0)

where

• hom_variable_group tells Bertini whether or not we are computing in projective space,
• file_path is the path to the folder where you want input.txt being saved to.
• bertini_path is the path to the folder where the bertini executable is saved to.
• the other arguments correspond to standard Bertini arguments