摘要
本文研究了一般的约束线性矩阵方程AXB=D,R(X)T,N(X)S其中A∈mxn,B∈pxq,D∈mxq,T和S分别为n和p的子空间。给出了上式有解与有唯一解的充要条件。
Considers a general restricted linear matrix equation AXB=D,R(X) T,N(X)S. Where A∈ m×n B∈ p×q ,D∈ m×q , and T and S are subspace of n and p ,respectively.On this basis,the necessary and sufficient condition for this equation to have a unique solutions,moreover,the representations of general solutions and unique solution are given.
出处
《华东船舶工业学院学报》
1996年第2期87-91,共5页
Journal of East China Shipbuilding Institute(Natural Science Edition)
关键词
约束条件
矩阵方程
广义逆
线性矩阵方程
constraint conditions
matrix equation
generalized inverse
kronecker products