标题：Solutions to the nonhomogeneous generalized Sylvester quaternion j-conjugate matrix equation
作者：Song, Caiqin ;Feng, Jun-E. ;Wang, Xiaodong
作者机构：[Song, Caiqin ] School of Mathematical Sciences, University of Jinan, Jinan; 250022, China;[Wang, Xiaodong ] School of Management Science and Engineer 更多
会议名称：36th Chinese Control Conference, CCC 2017
会议日期：26 July 2017 through 28 July 2017
来源：Chinese Control Conference, CCC
关键词：explicit solution; quaternion matrix equation; real representation
摘要：In this article, we develop a real representation method for computing the solution pair (X, Y) to the non-homogeneous generalized Sylvester quaternion j-conjugate matrix equation XB - AX = CY + R. Compared to the existing complex representation method [C. Song, G. Chen, Acta Mathematica Scientia 2012, 32(B)(5):1967-1982], the advantage of this new approach is that there is no special requirement on the any coefficient matrix. In this sense, we generalize the existing results. Finally, a numerical example is provided to support the theoretical findings and to testify the effectiveness and usefulness of the developed algorithm. © 2017 Technical Committee on Control Theory, CAA.