The general solution to a system of real quaternion matrix equations

Authors:
Qing-Wen Wang
Affiliations:
-
Venue:
Computers & Mathematics with Applications
Year:
2005

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Abstract

In this paper, we consider the system of matrix equations, A"1X = C"1, A"2X = C"2, A"3XB"3 = C"3, and A"4XB"4 = C"4, over the real quaternion algebra @?. 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 @? are also obtained.