Add specification for computing the number of non-zero singular values of a matrix (linalg: matrix_rank) #128
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This PR
Notes
CuPy and Torch (
torch.matrix_rank
) do not support providing stacks of matrices. Torch latestmaster
does. This proposal follows NumPy and other linalg APIs in supporting stacks.Dask does not have a
matrix_rank
API.NumPy, MXNet, Torch (latest
master
) support ahermitian
keyword argument to indicate a potential optimization. This keyword argument is not widely supported and is not included in this proposal.Torch (latest
master
), CuPy, and possibly TF only support specifyingtol
as afloat
. This PR follows NumPy and other API proposals (e.g.,pinv
andlstsq
) in allowingtol
to be specified as either afloat
or anarray
of floats. Providing anarray
allows specifying one or more tolerances. This PR specifies tolerance asrtol
to more explicitly indicate relative tolerance and to distinguish fromatol
(absolute tolerance).TF supports a
validate_args
keyword argument. TF is alone in doing so, and such a keyword argument is not included in this proposal.