STP Method for Solving the Minimal Norm Centrosymmetric Solutions of $MX-XN=GY+R$

In this paper, STP method for solving the minimal norm (anti)-centrosymmetric solution of nonhomogeneous Yakubovich quaternion matrix equation are presented. The structural matrix of the quaternion matrix is constructed by using STP, and the expressions of the (anti)-centrosymmetric solution of this quaternion equations. Furthermore, the sufficient and necessary conditions having minimal norm (anti)-centrosymmetric solution for this equations are provided. Finally, a numerical example is given for demonstrating the efficiency and superity of the STP approach.