Singular Alternatives

Similar projects and alternatives to Singular

singular-factory

1 0 0.0 Haskell Singular VS singular-factory

singular-factory: Haskell bindings to the factorization library of Singular CAS
rotki

119 2,601 9.9 Python Singular VS rotki

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WorkOS

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NOTE: The number of mentions on this list indicates mentions on common posts plus user suggested alternatives. Hence, a higher number means a better Singular alternative or higher similarity.

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Singular reviews and mentions

Posts with mentions or reviews of Singular. We have used some of these posts to build our list of alternatives and similar projects. The last one was on 2021-05-17.

Looking for a library to solve systems of multivariate polynomial equations
2 projects | /r/haskell | 17 May 2021

As for the "reasonably straightforward" comment, I was looking at Singular's triangMH function which does most of the work in solving such a polynomial system, and it didn't seem too tricky. It starts off with a reduced lexicographic Gröbner basis and eliminates variables one at a time by recursively calling itself, yielding a triangular decomposition of the 0-dimensional variety. Then a univariate root finding algorithm can be used to solve for each variable in turn. It might not have the best numerical stability properties or etc, but it seems manageable (given a basic framework for commutative algebra). I agree that, in general, it's unreasonable to expect to be able to cook up something in a few days of work that is of equivalent robustness to these battle-tested algorithms (for instance I can see all the complexity that's in Singular's Laguerre solver to attempt to improve numerical stability, compared to the simple Laguerre solver I wrote myself). However this case didn't seem quite as difficult as usual (for Singular's algorithm specifically, PHCpack's algorithm looks extremely involved).