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square up allee system with randomization - #52

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square up allee system with randomization#52
dave-k-johnson wants to merge 1 commit into
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@dave-k-johnson

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This pull request resolves issue #51. Instead of just multiplying by the appropriately sized random matrix, as was done before, we use a triangular matrix. This trick is described in 13.5 of Sommese and Wampler.

Instead of just multiplying by the appropriately sized random matrix, as was done before,  we use a triangular matrix. This trick is described in 13.5 of Sommese and Wampler.
@oskarhenriksson

oskarhenriksson commented Mar 19, 2026

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Looks very reasonable. How does it change the number of extraneous solutions? Does it matter how we order the polynomials in radical_generators? Do we still get the correct result in the end?

@dave-k-johnson

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I have to check, but from my understanding the ordering should only affect the the number of paths tracked. I might have some more time today to experiment with this.

@PBrdng

PBrdng commented Apr 21, 2026

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3 participants