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homotopy-continuation
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Computational Project about Homotopy Continuation
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README.md

Homotopy Continuation in Julia

Implemented

  • Total-degree Homotopy
  • Roots of unity start 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: