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Does the function prod!() should support matrices or only vectors?
If used with Krylov.jl, may only support the case of vectors?

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According to @amontoison supporting matrices is needed in Krylov.jl when using the block solvers.
See JuliaSmoothOptimizers/Krylov.jl#1029 (reply in thread).

@amontoison , What would be the proper way to support matrices in LinearOperators.jl?
I mean dispatch wise.

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@amontoison
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To the best of my knowledge, @gdalle already added support for it last year:
#330

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