julia
243ebc38 - Support broadcasting over structured block matrices (#53909)

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1 year ago
Support broadcasting over structured block matrices (#53909) Fix https://github.com/JuliaLang/julia/issues/48664 After this, broadcasting over structured block matrices with matrix-valued elements works: ```julia julia> D = Diagonal([[1 2; 3 4], [5 6; 7 8]]) 2×2 Diagonal{Matrix{Int64}, Vector{Matrix{Int64}}}: [1 2; 3 4] ⋅ ⋅ [5 6; 7 8] julia> D .+ D 2×2 Diagonal{Matrix{Int64}, Vector{Matrix{Int64}}}: [2 4; 6 8] ⋅ ⋅ [10 12; 14 16] julia> cos.(D) 2×2 Matrix{Matrix{Float64}}: [0.855423 -0.110876; -0.166315 0.689109] [1.0 0.0; 0.0 1.0] [1.0 0.0; 0.0 1.0] [0.928384 -0.069963; -0.0816235 0.893403] ``` Such operations show up when using `BlockArrays`. The implementation is a bit hacky as it uses `0I` as the zero element in `fzero`, which isn't really the correct zero if the blocks are rectangular. Nonetheless, this works, as `fzero` is only used to determine if the structure is preserved.
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