TY - JFULL AU - Yongxin Yuan and Kezheng Zuo PY - 2014/12/ TI - Solving Linear Matrix Equations by Matrix Decompositions T2 - International Journal of Mathematical and Computational Sciences SP - 1425 EP - 1429 VL - 8 SN - 1307-6892 UR - https://publications.waset.org/pdf/10000378 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 95, 2014 N2 - In this paper, a system of linear matrix equations is considered. A new necessary and sufficient condition for the consistency of the equations is derived by means of the generalized singular-value decomposition, and the explicit representation of the general solution is provided. ER -