Solving a linear system without modifying and allocating arrays

Yes, this feature was recently added: define lu!(F::LU,A) for general matrices by longemen3000 · Pull Request #1131 · JuliaLang/LinearAlgebra.jl · GitHub

I’m not sure how long it will be until this appears in a Julia release, but the code from that PR is pretty short so you could easily copy it.

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