矩阵对偶Core-EP逆性质的进一步研究  

Further Study on the Dual Core-EP Inverse Properties of Matrices

作　　者：魏佳艺 海国君[1] 阿拉坦仓 WEIJiayi;HAI Guojun;Alatancang(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China;Collegeof Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China)

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021 [2]内蒙古师范大学数学科学学院,呼和浩特010022

出　　处：《内蒙古大学学报（自然科学版）》2024年第4期345-349,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金项目(11761052);无穷维哈密顿系统及其算法应用教育部重点实验室开放课题项目(2023KFZD01)。

摘　　要：利用矩阵的Drazin逆以及Moore-Penrose逆描述了对偶Core-EP逆,并应用矩阵的Core-EP分解给出了对偶Core-EP逆的分块矩阵表达。受到EP矩阵的启发,得到了矩阵是k次对偶Core-EP矩阵的充要条件,并得到了一些矩阵为k次对偶Core-EP矩阵的结论。The dual Core-EP inverse is described using the Drazin inverse of the matrix as well as the Moore-Penrose inverse.Applying the Core-EP decomposition of matrix,a block matrix expression of the dual Core-EP is given.Inspired by the EP matrix,the necessary and sufficient conditions are obtained that the matrix is a k-degree dual Core-EP matrix and conclusion is given that some matrices are k-degree dual Core-EP matrix.

关 键 词：广义逆 MOORE-PENROSE逆 DRAZIN逆 对偶Core-EP逆 Core-EP分解 

分 类 号：O177.1[理学—数学]