两个矩阵和Drazin逆新的推广式

doi:10.3976/j.issn.1002-4026.2019.06.016

山东科学 ›› 2019, Vol. 32 ›› Issue (6): 112-117.doi: 10.3976/j.issn.1002-4026.2019.06.016

• 其他研究论文 • 上一篇

两个矩阵和Drazin逆新的推广式

杨晓英

四川信息职业技术学院基础教育部, 四川广元 628017

收稿日期:2018-11-30 出版日期:2019-12-20 发布日期:2019-12-11
作者简介:杨晓英(1984—), 女, 硕士, 副教授, 研究方向为矩阵理论与应用，E-mail: yangxiaoying134@163.com
基金资助:
四川省教育厅自然科学基金(18ZB0521)

A new representation of the Drazin inverse of the sum of two matrices

YANG Xiao-ying

Department of Basic Education, Sichuan Information Technology College, Guangyuan 628017, China

Received:2018-11-30 Online:2019-12-20 Published:2019-12-11

摘要/Abstract

摘要： 针对两个矩阵和Drazin逆的表示, 由Drazin逆的定义，根据矩阵分解的思想, 利用Drazin逆的相关性质, 给出了两个矩阵的和在一定条件下Drazin逆新的表示。新结果推广了现有的一些结果。

关键词: 矩阵和, Drazin逆, 矩阵分解

Abstract: In this study, a new representation of the Drazin inverse of the sum of two matrices is provided under certain conditions based on the definition of the Drazin inverse, the matrix decomposition philosophy, and the usage of the related properties of the Drazin inverse. This new result is an expansion of some of the existing results.

Key words: sum of matrices, Drazin inverse, matrix decomposition

中图分类号:

O151.21

杨晓英. 两个矩阵和Drazin逆新的推广式[J]. 山东科学, 2019, 32(6): 112-117.

YANG Xiao-ying. A new representation of the Drazin inverse of the sum of two matrices[J]. Shandong Science, 2019, 32(6): 112-117.

参考文献 9

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两个矩阵和Drazin逆新的推广式

A new representation of the Drazin inverse of the sum of two matrices

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