Solving the mixed Sylvester matrix equations by matrix decompositions
Yongxin Yuan · Comptes Rendus Mathématique · 2015
By applying the generalized singular-value decompositions (GSVDs) of matrix pairs, a necessary and sufficient solvability condition for mixed Sylvester equations is established, the explicit representation of the general solution is given. Also, the minimum-norm solution of the matrix equations is discussed.