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Add specification for computing the number of non-zero singular values of a matrix (linalg: matrix_rank) #128
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This PR has been open for some time without further comment and has been discussed/approved during meetings. Will merge, and we can submit follow-up PRs should any issues/concerns arise. |
For reference, inclusion of this API was discussed here. |
rgommers
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to rgommers/array-api
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Nov 16, 2022
This was a simple mistake, not discussed in the review for the PR that added `matrix_rank` (data-apisgh-128). Closes data-apisgh-469
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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.