摘要
通过构造具有特殊性质的range-Hermitian矩阵(简称EP矩阵),并借助于这些EP矩阵的形式变形,探讨了EP矩阵、群可逆矩阵和正规矩阵之间的关系,从而以此为基础给出正规矩阵的性质刻画,得出一个矩阵成为正规矩阵的充要条件,这是研究正规矩阵的新方法.
The relations among EP matrices,group invertible matrices and normal matrices are discussed by constructing EP matrices with special properties,and by means of the formal deformation of these EP matrices.On this basis,the properties of normal matrix are described,and the necessary and sufficient conditions for a matrix to become normal matrix are obtained.This is a new method for studying normal matrix.
作者
曹妍妍
陆炎珂
魏俊潮
CAO Yanyan;LU Yanke;WEI Junchao(School of Mathematics Science,Yangzhou University,Yangzhou Jiangsu 225002,China)
出处
《大学数学》
2022年第5期120-124,共5页
College Mathematics
基金
国家自然科学基金(1941267721)
2020年扬州大学大学生科创基金(X20200260)
江苏高校品牌专业建设工程资助项目(数学与应用数学,PPZY2015B109)。
关键词
正规矩阵
群可逆矩阵
EP矩阵
EP逆矩阵
normal matrix
group invertible matrix
MP inverse matrix
EP matrix
