The general solution to a system of real quaternion matrix equations

In this paper, we consider the system of matrix equations, A1X = C1, A2X = C2, A3XB3 = C3, and A4XB4 = C4, over the real quaternion algebra ℍ. A necessary and sufficient condition for the existence and the expression of the general solution to the system are given. As particular cases, the corresponding results on other systems over ℍ are also obtained.