## 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