两矩阵和的Drazin逆新的表示及其应用  

NEW REPRESENTATIONS OF DRAZIN INVERSE FOR SUM OF TWO MATRICES AND ITS APPLICATIONS

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 Arts 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》2018年第3期193-206,共14页Numerical Mathematics A Journal of Chinese Universities

基　　金：四川省教育厅自然科学基金(18ZB0521);陕西省教育厅科研计划项目(17JK0040)

摘　　要：设C^m×n表示m×n复矩阵的集合，rank（A）表示矩阵A的秩，对于A∈C^m×n，使得rank（A^k）=rank（A^k＋1）成立的最小正整数k称为A的指标，记作ind（A）．设ind（A）=k，满足.In this paper, we give new additive formulas for the Drazin inverse under conditions weaker than those used in some current literatures. According to the matrix splitting, new representations of partitioned matrices M = （A B C D ）are given using the property of Drazin inverse.

关 键 词：DRAZIN逆 矩阵和 应用 最小正整数 复矩阵 矩阵A 集合 

分 类 号：O151.21[理学—数学]