交换环上矩阵的加权Moore-Penrose逆与其加边矩阵  

Weighted Moore-Penrose Inverse of a Matrix and Its Bordering over a Commutative Ring

作　　者：任俊艳[1] 任颜波[1] 郑华杰[1] 许雪敏[1] 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471003

出　　处：《河南科技大学学报（自然科学版）》2011年第1期79-81,121,共3页Journal of Henan University of Science And Technology:Natural Science

基　　金：河南省基础与前沿技术研究项目(092300410179);河南科技大学青年基金项目(2007QN033);河南科技大学大学生研究训练计划项目(2010156)

摘　　要：在矩阵具有加权Moore-Penrose逆的基础上,讨论了交换含幺环上它的加权Moore-Penrose逆与加边矩阵的关系,即用该矩阵的加权Moore-Penrose逆等对其进行加边,从而将它扩充为一个非异阵,并具体给出它的加边矩阵。In this paper,the relationship between the weighted Moore-Penrose inverse of a matrix and its bordering was discussed and the explicit expressions for the bordering and its inverse were given.Anonsigalar bodered matrix was constructed from the original matrix by adjoining to it certain matrices such as its weighted Moore-Penrose inverse and so on.

关 键 词：加权MOORE-PENROSE逆 加边矩阵 交换含幺环 

分 类 号：O151.21[理学—数学]