Adam Florence
Research
Nearest Inverse Kronecker Product
The nearest inverse Kronecker product problem is: Given the
m-by-mX mY matrix A,
and the m-by-nX nY matrix
B, find the
mX-by-nX matrix X and the
mY-by-nY matrix Y which minimize
|| B - A ( X kron Y ) ||2
Assume without loss of generality that || X ||F = 1.
If A is square and B is the identity, then the problem
becomes finding the Kronecker product closest to the inverse of
A.
We have developed several algorithms to solve this problem. They are
explained in [1]. The
Matlab code is:
There is no warranty of any kind on this code or its documentation.
All code is copyrighted (c) 2000, 2001 by Adam Florence.
If you have any questions about the code, please
e-mail me.
Bibliography
- FLORENCE, ADAM G.
Computational Multilinear Algebra, Ph.D. dissertation, Cornell
University, 2001.
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Last updated 13 August 2001.