山东科学 ›› 2016, Vol. 29 ›› Issue (2): 88-91.doi: 10.3976/j.issn.1002-4026.2016.02.016

• 其他研究论文 • 上一篇    下一篇

两个矩阵和的Drazin逆

杨晓英1,刘新1,王亚强2   

  1. 1.四川信息职业技术学院基础教育部, 四川 广元 628017;
    2.宝鸡文理学院数学与信息科学学院, 陕西 宝鸡 721013
  • 收稿日期:2015-05-04 出版日期:2016-04-20 发布日期:2016-04-20

Drazin inverse of the addition of two matrices

YANG Xiaoying1, LIU xin1 , WANG Yaqiang2   

  1. 1. Department of Basic Education, Sichuan Information Technology College, Guangyuan 628017, China;
    2. School of Mathematics and Information Sciences, Baoji University of Arts and Sciences, Baoji 721013, China
  • Received:2015-05-04 Online:2016-04-20 Published:2016-04-20

摘要:

研究了两个矩阵和的Drazin逆的表示。 根据一个分块矩阵拆分为两个三角矩阵的思想, 利用Drazin逆的相关性质, 给出了两个矩阵和在一定条件下Drazin逆表示的新的证明方法。

关键词: 矩阵和, Drazin逆, 三角矩阵

Abstract:

We address Drazin inverse of the addition of two matrices. We present a new proof approach of Drazin inverse of the addition of two matrices in some given conditions with the separation of a block matrix into two triangular matrices and the relevant properties of Drazin inverse.

Key words: matrix addition, triangular matrix, Drazin inverse

中图分类号: 

  • O151.21