EP矩阵的等价命题及其偏序  

Equivalent proposition and partial order of EP matrix

作　　者：许若敏 任芳国[1] XU Ruo-min;REN Fang-guo(College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,Shaanxi,China)

机构地区：[1]陕西师范大学数学与信息科学学院

出　　处：《宝鸡文理学院学报（自然科学版）》2019年第3期8-14,共7页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11471200)

摘　　要：目的研究EP矩阵的等价条件和偏序中EP矩阵的相关性质。方法从EP矩阵的定义、等价刻画、分解等方面入手。结果得到了EP矩阵的等价条件、运算封闭、以及偏序等方面的结论。结论EP矩阵和很多矩阵都有联系,其性质丰富多样,值得学者深入研究。Purposes—To study the equivalent conditions of EP matrix and the related properties of EP matrix in partial order,and to obtain other important theorems of EP matrix.Methods—The aforesaid purposes start with the definition,equivalent characterization and decomposition of EP matrix.Result—The equivalent condition,closed operation and partial order of EP matrix are obtained.Conclusion—EP matrix is related to many matrices,its nature is rich and diverse,which deserves further study by scholars.

关 键 词：EP矩阵 压缩矩阵 矩阵分解 偏序 

分 类 号：O151.21[理学—数学]