On solutions of the generalized Stein quaternion matrix equation
In this paper, some solution expressions to the quaternion matrix equation X?AXF=BY are obtained. They are the further conclusions of the paper (Song et al. in Int. J. Comput. Math. 89:890900, 2012). By applying of Kronecker map and complex representation of a quaternion matrix, the sufficient conditions for finding the solution have been established. At the end of the article, numerical examples show the applications of the proposed explicit solution.
quaternion matrix equation kronecker map complex representation parametric solution 15a06 15a24 47s10