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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 Overdetermined systems, pseudoinverses (numerical linear algebra) 15A24 Matrix equations and identities
Full Text:
References:
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