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Francesco Minnocci
fb2f68d7fa
|
1 year ago | |
|---|---|---|
| LICENSE | 1 year ago | |
| README.md | 1 year ago | |
| hc.jl | 1 year ago | |
| solutions.png | 1 year ago | |
README.md
Homotopy Continuation in Julia
This is a project for the "Laboratorio Computazionale" exam at the University of Pisa
Implemented
- Total-degree Homotopy with "Roots of unity" start system
- Euler-Newton predictor-corrector method with adaptive step size
- Homotopy Continuation for all roots of the target system
TODO
- Projective coordinates
- Parallelization
- Extract functions in separate modules(?)
Example system
\begin{align*}
x^2 + y^2 - 4 &= 0 \\
xy - 1 &= 0 \\
\end{align*}
Plot of the approximate solutions:
