The solution of Matrix equation ∑A_iX_iB_i=C under some certain conditions
Yonghui He · Journal of Shandong Institute of Light Industry · 2009
Matrix equation is the core of linear algebra and it is widely applied in various fields.This article simplified a series matrix equation of ∑AiXiBi=C,using generalized inverse matrix and the block matrix equation,which is different from the usual method.By solving the matrix equations AXB=C and A1X1B1+A2X2B2=C,the specific conditions and the solution on such conditions come to existence.This method is also promoted to make it wided used.