I want to perform an operation like the BLAS.gemm! operation with multipliers α and β but for my own custom matrix type. The name gemm! is unsuitable because the ge part indicates general matrices. I can, of course, choose my own name for the generic but I thought I would ask if there was already a name for such an operation.
In more detail, the BLAS.gemm! function returns the target, C, as C := α*A*B + β*C where α and β are scalars. (You can also specify transpose or not on A and/or B). The most common case is C := A*B, corresponding to α = 1 and β = 0 but other cases are possible and often convenient.