矩阵和的Drazin逆表示的新结果  

NEW RESULTS OF DRAZIN INVERSE FOR SUM OF MATRICES

作　　者：杨晓英[1] 刘新[1] 王亚强 Yang Xiaoying;Liu Xin;Wang Yaqiang(Department of Basic Education, Sichuan Vocational College of Information Technology, Guangyuan 628017;School of Mathematics and Information Sciences, Baoji University of Aarts and Sciences, Baoji 721013)

机构地区：[1]四川信息职业技术学院基础教育部,广元628017 [2]宝鸡文理学院数学与信息科学学院,宝鸡721013

出　　处：《高等学校计算数学学报》2019年第2期164-175,共12页Numerical Mathematics A Journal of Chinese Universities

基　　金：四川省教育厅自然科学基金(18ZB0521)

摘　　要：1引言设Cm×n表示m×n复矩阵的集合,rank(A)表示矩阵A的秩,对于4∈Cm×n,使得rank(Ak)=rank(Ak+1)成立的最小正整数k称为A的指标,记作ind(A).In this paper,new formulas for the Drazin inverse of the sum of two matrices are given under some conditions which are more general than those used in some current literature.Then,according to ideas of the matrix decomposition and matrix splitting,using the theory of Drazin inverse,new representation of partitioned matrices M=(ABCD)is given under some conditions.

关 键 词：分块矩阵 DRAZIN逆 广义SCHUR补 

分 类 号：O151.21[理学—数学]