There is significant overlap with Catalan.jl, the combinatorics package:

https://github.com/andrioni/Catalan.jl

with code in the base linear algebra library to return pivoted matrix
factorizations, e.g.

https://github.com/JuliaLang/julia/blob/db8ffe8b47ad00879cb483f4edb205eea18cfbe3/base/linalg/factorization.jl#L72

For a pivoted matrix factorization F, F[:p] should really be a
Permutation object and F[:P] is its matrix representation. Perhaps
this should go into the base library at some point.

Thanks,

Jiahao Chen
Staff Research Scientist
MIT Computer Science and Artificial Intelligence Laboratory

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