Accelerate and MKL have some overlap (notably BLAS, LAPACK, signal processing libraries and basic vectorized math operations), but each also contains a whole bunch of API that the other lacks. Neither is a subset of the other.
They both contain a sparse matrix library, but exactly what operations are offered is somewhat different between the two.
They both have image processing operations, but fairly different ones. Accelerate has BNNS, MKL has its own set of deep learning interfaces...
In case you or anyone else knows, are there other libraries that implement a high performance sparse QR? Really, I need a Q-less QR factorization for sparse matrices. As far as I know, there are only two: one comes from MKL:
Part of the issue is that SPQR is dual licensed GPL/Commercial and the last time I checked a license was not cheap. Conversely, MKL has no redistribution fee, so it's been essentially the only option for this factorization if the code can't be bundled in a way compatible with the GPL.
Replying to [dead] sibling post from kxyvr: yes, Accelerate provides a Q-less sparse QR on Apple platforms (https://developer.apple.com/documentation/accelerate/sparse_..., in particular SparseFactorizationCholeskyAtA). I believe that MA49 from HSL does it as well, and may have more acceptable licensing than SuiteSparse depending on your situation.
https://developer.amd.com/amd-aocl/ https://developer.apple.com/documentation/accelerate