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Least-squares solution with the minimum-norm for the matrix equation $$(A\times B,G\times H) = (C,D)$$. (English) Zbl 1087.65040
The authors derive an analytical expression of the minimum-norm least-squares solution of the matrix equation $$(A\times B, G\times H)=(C, D)$$. Their approach uses the generalized singular value and canonical correlation decompositions. They verify the obtained expressions by some numerical experiments involving Toeplitz and Hankel matrices.

##### MSC:
 65F20 Numerical solutions to overdetermined systems, pseudoinverses 15A24 Matrix equations and identities
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##### References:
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