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Homotopy Continuation in Julia
Implemented
- Total-degree Homotopy
- Roots of unity start system
TODO
- Projective coordinates
- Parallelization
- Endgames(?)
Example system
\begin{align*}
x^2 + y^2 - 4 &= 0 \\
xy - 1 &= 0 \\
\end{align*}
Plot of our approximate solutions:
