摘要
借助于矩阵的广义逆 ,给出了线性矩阵方程 (AX ,XC) =(B ,D)有对称解的充分必要条件 ;在有解的情况下 ,给出了通解的显式表示 ;作为特例 ,讨论了一类逆特征值问题。
By means of generalized inverses of matrices, a necessary and sufficient condition for matrix equation (AX, XC)=(B, D) having symmetric solutions is obtained, the explicit representation of general solution is given. As a special case, a class of inverse eigenvalue problem is also discussed.
出处
《华东船舶工业学院学报》
EI
2001年第4期82-85,共4页
Journal of East China Shipbuilding Institute(Natural Science Edition)
关键词
线性矩阵方程
广义逆
对称解
逆特征值
matrix equation
generalized inverse of a matrix
symmetric solution
inverse problem
