The Common Solution of Some Matrix Equations
Li Wang, Qing‐Wen Wang, Zhuo‐Heng He · Algebra Colloquium · 2016
In this paper we investigate the system of linear matrix equations A1X=C1, YB2=C2, A3XB3=C3, A4YB4=C4, BX+YC=A. We present some necessary and sufficient conditions for the existence of a solution to this system and give an expression of the general solution to the system when the solvability conditions are satisfied.