argument order of several-argument A[t|c]_mul_B[t|c]! signatures

[Sacha0]

Some A[t|c]_mul_B[t|c][!] signatures involving several arguments have said arguments ordered in the style of BLAS/LAPACK rather than Julia, for example

A_mul_B!(α::Number, A::SparseMatrixCSC, B::StridedVecOrMat, β::Number, C::StridedVecOrMat)

Such method signatures could perhaps use revision. See #20053 (comment) and #20053 (comment) for the discussion that precipitated this issue. Best!

[StefanKarpinski]

Ideally, we'll be deleting these functions entirely in 1.0.

[andreasnoack]

@StefanKarpinski I assume you are referring to the transposed type that would make it possible to get rid of the Ax_ and _Bx parts. However, the signature problem will remain for the new mul! function.

This is a dup of #9930.

[Sacha0]

Thanks for the ref Andreas! :)