The general solution to a system of real quaternion matrix equations
In this paper, we consider the system of matrix equations, A(1)X = C-1, A(2)X = C-2, A(3)XB(3) = C-3, and A(4)XB(4) = C-4, 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. (c) 2005 Elsevier Ltd. All rights reserved.
quaternion matrix equation real quaternion algebra system of quaternion matrix equations inner inverse of a matrix reflexive inverse of a matrix