It would be nice to have a clearly defined AbstractSparseArray <: AbstractArray with an interface that defines where the non-zero values are, and that way generic looping over sparse arrays can be defined. Special matrix types like Tridiagonal should fall under AbstractSparseArray to allow for generic sparse iteration, and then it would make it easier for things like @dlfivefifty 's BandedMatrices.jl to plug into a more generic system of sparsity support.
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