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山东大学学报(理学版) ›› 2015, Vol. 50 ›› Issue (04): 90-94.doi: 10.6040/j.issn.1671-9352.0.2014.403

• 论文 • 上一篇    

Core逆的一些新特征

罗高骏, 左可正, 周良   

  1. 湖北师范学院数学与统计学院, 湖北 黄石 435002
  • 收稿日期:2014-09-10 修回日期:2014-12-01 出版日期:2015-04-20 发布日期:2015-04-17
  • 通讯作者: 左可正(1962-),男,教授,研究方向为代数与矩阵分析.E-mail:xiangzuo28@163.com E-mail:xiangzuo28@163.com
  • 作者简介:罗高骏(1990-),男,硕士,研究方向为矩阵分析及应用.E-mail:a446761001@163.com
  • 基金资助:
    国家自然科学基金资助项目(11271105);湖北省教育厅重点资助项目(D20122202)

The new properties of core inverse of matrices

LUO Gao-jun, ZUO Ke-zheng, ZHOU Liang   

  1. School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, Hubei, China
  • Received:2014-09-10 Revised:2014-12-01 Online:2015-04-20 Published:2015-04-17

摘要: 利用矩阵的Σ-K-L分解,研究了Core逆的性质,得到了Core逆的一些新特征,给出了Core逆的一些充要条件.

关键词: Core逆, 广义逆, &Sigma, EP阵, -K-L分解

Abstract: Several new properties and characteristics of core inverse,the necessary and sufficient conditions of core inverse are given by the decomposition of Σ-K-L of the matrix.

Key words: core inverse, generalized inverse, decomposition of Σ-K-L, EP matrix

中图分类号: 

  • O152.2
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