On Jun 15, 10:34 am, Jason Grout <jason-s...@creativetrax.com> wrote:
> Also, a google search for hadamard product applications turns up
> http://buzzard.ups.edu/courses/2007spring/projects/million-paper.pdf
> (maybe Rob Beezer knows this person?)

Elizabeth Million was a student in a course of mine a few years ago
and this was her final project paper.  I asked her to polish it up and
she contributed it as Section HP of my textbook (which I see now has a
consistent problem with the subscripts on the Hadamard identity):

http://linear.ups.edu/jsmath/latest/fcla-jsmath-latestli101.html

Exercise T30 talks about connections with the singular value
decomposition, and her original paper contains some more involved
theorems and results that she didn't work up for the section of the
book.  So the operation is not without interest, I believe.

Working with Elizabeth, it was obvious to me that this was
consistently called the Hadamard Product by those who studied it.
However, I would agree that "elementwise_product()" would be much more
obvious to one browsing the available functions.  So having
"hadamard_product()" as a synonym, or at least prominently included in
the documentation would be desirable.

Given the apparent ease of implementing this, I'd consider it a useful
addition.

Rob
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