实四元数体上矩阵方程（A^＊XA，B^＊XB）=（C，D）的自共轭半正定解及亚半正定解

Self-conjugate Positive Semi-definite and Semi-positive Subdefinite Solutions of the Quaterninon Matrix Equation（A^＊XA,B^＊XB）=（C,D）

给出了实四元数体上矩阵方程（A^＊XA，B^＊XB）=（C，D）的自共轭半正定解及亚半正定解，并且给出了解的表达式，

The self-conjugate positive semi-definite solution and semipositive subdefinite solution of the quaternion matrix equation （A^＊XA,B^＊XB）=（C,D） are Considered in this paper. The forms of general solution are given.