On solutions of the generalized Stein quaternion matrix equation

• DOI: 10.1007/s12190-013-0655-3
• Publication Date: 2013-02-28T23:04:51Z
• Authors: Caiqin Song; Xiaodong Wang; Xiangyun Zhang
• Keywords: 0101 mathematics; 01 natural sciences

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. 89:890–900, 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.