摘要
文章讨论了关于权为可逆阵的加权广义逆矩阵的一些性质。利用矩阵的运算及秩的变化的相关结论,结合矩阵的加权广义逆存在时的充要条件与表示式,给出了复数域上两个及三个矩阵乘积的加权广义逆的几个表达式。
This paper discussed some properties of generalized inverse of matrix with invertible weights.Combined with a sufficient and necessary condition for the existence of weighted generalized inverse of a matrix and its expression,several expressions for the weighted generalized inverses of two and three matrices products were given by using the related conclusions of the operation of matrix and the change of rank.
出处
《荆楚理工学院学报》
2011年第5期53-56,共4页
Journal of Jingchu University of Technology
关键词
矩阵广义逆
加权广义逆
矩阵的乘法
矩阵的秩
generalized inverses matrix
weighted generalized inverses
product of matrices
rank of matrix
