%0 Journal Article %A Yongxin Yuan and Kezheng Zuo %D 2014 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 95, 2014 %T Solving Linear Matrix Equations by Matrix Decompositions %U https://publications.waset.org/pdf/10000378 %V 95 %X 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. %P 1426 - 1429