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Hadamard (component-wise) vector product?
Posted:
Dec 6, 1996 5:06 AM
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Can someone explain what the Hadamard product is used for in math? It's
definied for two vectors as z_i = x_i * y_i, and I believe it's also
sometimes called the "vector multiply" (Golub and van Loan) or the
"componentwise product," and I think it's denoted in TeX by x \circ y or
something like that (I don't really know TeX).
Basically, I'm looking for a description of what is calculates, in the
same way that I can say the dot product calculates the cos(angle)
between vectors, etc.
I found a bunch of references to it on the web, but never a description
of what it's actually doing with the input vectors. It's mentioned in
Golub and van Loan's Matrix Computations at the beginning, but I don't
know if it's mentioned again, and G&vL is at work and I keep forgetting
to look when I'm at work and it's driving me nuts as I sit here at
home. :)
Thanks!
Chris
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