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Least squares solutions of matrix equation \(AXB=E\), \(CXD=F\). (Chinese. English summary) Zbl 1098.15009

Summary: The author obtains the least squares solutions of the matrix equation \(AXB= E\), \(CXD=F\) by constructing the normal equation of the matrix equation and applying the generalized singular-value decomposition of the coefficient matrices.

MSC:

15A24 Matrix equations and identities
65F20 Numerical solutions to overdetermined systems, pseudoinverses
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