On Thursday 02 Feb 2012 18:40:09 [email protected] wrote:
> I never heard of a cartesian product of matrices,
> only that the tensor product of operators is
> called Kronecker product in the case of matrices,
> together with a convention how to map M_m \otimes M_n
> to M_{mn}.

Hi Franz,

My understanding is that if
Kronecker product (tensorProduct) is denoted by A (x) B
where A is an n-by-n matrix and B is an m-by-m matrix then the
Kronecker sum (cartesianProduct) is A (+) B = A (x) Im + In (x) B
where In is an n-by-n identity matrix and Im is an m-by-m identity
matrix

Is this not correct?

Martin

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