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Make factorizations available in a standalone manner ? #556

@BambOoxX

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@BambOoxX

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As far as I understand the purpose of LinearSolve, it is an attemp at providing downstream users and developpers a unified interface between multiple solvers.
As highlighted by the documentation, matrix factorizations play a significant role in the different solvers. However, it does not seem that a unified interface for these factorizations is provided by LinearSolve.
I'm just thinking about this because I'm myself in the need of finding the best QR factorization (to retrieve the R term only) for one of my projects and LinearSolve seemed a nice place to start from. I thought I would find something like

fact_problem = FactorizationProblem(<Matrix>,<FactorizationMethod>)
fact = solve(fact_problem)

Would such an approach be relevant for LinearSolve or is it useless ? I can't really make my mind... it seems completely overkill, yet achieves somewhat the same pupose as LinearProblem.

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