Fgemm is based on the initials sgemm or dgemm, based on gemm, GEneral Matrix-Matrix multiplication. gemv is GEneral Matrix-Vector multiplication. So it's meaningless, except of course for my target audience, who gets spinal suffering from typing those letters out in that order, everybody knows what it means. fgemm, if you google it, gets a lot of hits. Supposedly it means like a modular form of gemm, but there's also, among the hits, among which I am not counted despite owning the domain, the intended initials.
Fast GEneral Matrix-Matrix Multiplication.
Faster GEneral Matrix-Matrix Multiplication.
Fastest GEneral Matrix-Matrix Multiplication.
One of those.
I'm not sure which yet. Probably Fastest. That's a brand name, that's how I differentiate my products--matrix multiplication products--from the competition. Because I'm fast/faster/fastest.