JuliaArrays / JuliaArrays/FixedSizeArrays.jl

ensure `FixedSizeArray` is performant with LinearSolve.jl

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Julia
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Description

TODO for once FixedSizeArrays.jl gets registered: ensure performance with LinearSolve.jl.

I suppose LinearSolve would ideally treat FixedSizeArray like it treats Array. An example where this is not so:

julia> using LinearSolve, FixedSizeArrays

julia> let A = FixedSizeArrayDefault{Float32}
           LinearSolve.defaultalg(A(undef, 3, 3), A(undef, 3))
       end
LinearSolve.DefaultLinearSolver(LinearSolve.DefaultAlgorithmChoice.KrylovJL_GMRES)

julia> let A = Array{Float32}
           LinearSolve.defaultalg(A(undef, 3, 3), A(undef, 3))
       end
LinearSolve.DefaultLinearSolver(LinearSolve.DefaultAlgorithmChoice.GenericLUFactorization)

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Research direction

Start with the LinearSolve.defaultalg examples in the issue, comparing FixedSizeArrayDefault{Float32} and Array inputs. Trace why the FixedSizeArray selects KrylovJL_GMRES instead of GenericLUFactorization; done means its default solver choice is appropriately performant and matches the intended Array behavior.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
performance
Issue type
Feature
Difficulty
4/5
Estimated time
3-5 days
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
38/100

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