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