摘要
本文主要研究了矩阵方程A^TX+X^HA=B的求解问题,我们证明该方程的解总可以通过矩阵方程A^TX+X^HA=B的特解和其对应的齐次矩阵方程A^TX+X^HA=B的解表出。
In this paper, we mainly study the problem of solving matrix equations A^TX ＋X^HA =B. We prove that the solution of the equation can always be expressed by the special solution of the matrix equation A^TX ＋X^HA =B and the solution of its corresponding homogeneous matrix equation A^TX＋X^HA=B.
作者
王青
朱利刚
陈生安
WANG Qing;ZHU Li-gang;CHEN Sheng-an(Xianning Hot Spring Experimental Primary School,Xianning 437100,China;Shishou No.1 Middle School,Shishou 434400,China;Mathematics and Statistics,Hubei University of Science and Technology,Xianning 437100,China)
出处
《价值工程》
2018年第17期197-199,共3页
Value Engineering
基金
湖北省教育厅重点项目资助(项目号:D20132804)
关键词
矩阵方程
共轭转置
零因子
广义逆
matrix equation
conjugate transposition
zero factor
generalized inverse
