Why do these belong in NumPy? What is the broad field of application of
these functions? And, does a more general concept underpin them?
Thanks, Alan Isaac

On Tue, Jan 23, 2024 at 5:17 PM Marten van Kerkwijk <[email protected]>
wrote:

> Hi All,
>
> I have a PR [1] that adds `np.matvec` and `np.vecmat` gufuncs for
> matrix-vector and vector-matrix calculations, to add to plain
> matrix-matrix multiplication with `np.matmul` and the inner vector
> product with `np.vecdot`.  They call BLAS where possible for speed.
> I'd like to hear whether these are good additions.
>
> I also note that for complex numbers, `vecmat` is defined as `x†A`,
> i.e., the complex conjugate of the vector is taken. This seems to be the
> standard and is what we used for `vecdot` too (`x†x`). However, it is
> *not* what `matmul` does for vector-matrix or indeed vector-vector
> products (remember that those are possible only if the vector is
> one-dimensional, i.e., not with a stack of vectors). I think this is a
> bug in matmul, which I'm happy to fix. But I'm posting here in part to
> get feedback on that.
>
> Thanks!
>
> Marten
>
> [1] https://github.com/numpy/numpy/pull/25675
>
> p.s. Separately, with these functions available, in principle these
> could be used in `__matmul__` (and thus for `@`) and the specializations
> in `np.matmul` removed. But that can be a separate PR (if it is wanted
> at all).
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