华东师范大学学报(自然科学版) ›› 2007, Vol. 2007 ›› Issue (3): 11-15.

• 数学 统计学 • 上一篇    下一篇

一类广义逆的代数扰动

盛兴平1,2, 陈果良2   

  1. 1. 阜阳师范学院 数学系, 安徽 阜阳 236032; 2. 华东师范大学 数学系, 上海 200062
  • 收稿日期:2007-01-03 修回日期:2007-04-03 出版日期:2007-05-25 发布日期:2007-05-25
  • 通讯作者: 盛兴平

Algebraic Perturbation Theory for Some Generalized Inverse(Chinese)

SHENG Xing-ping1,2, CHEN Guo-liang2   

  1. 1. Department of Mathematics, Fuyang Normal College, Fuyang Anhui 236032, China; 2. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2007-01-03 Revised:2007-04-03 Online:2007-05-25 Published:2007-05-25
  • Contact: SHENG Xing-ping1

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摘要： 介绍了~$\alpha-\beta$~广义逆的一些性质, 利用这些性质, 分三种情况讨论了α-β 广义逆的 代数扰动理论, 并给出了该种广义逆的代数扰动的表达式.

关键词: α-β广义逆, 代数扰动, 矩阵逆, α-β广义逆, 代数扰动, 矩阵逆

Abstract: This paper introduced several properties of α-β generalized inverse, then used these properties to discuss the algebraic perturbation theory for the α-β generalized inverse in three kinds. The expression of the algebraic perturbation of α-β generalized inverse were presented.This paper introduced several properties of α-β generalized inverse, then used these properties to discuss the algebraic perturbation theory for the α-β generalized inverse in three kinds. The expression of the algebraic perturbation of α-β generalized inverse were presented.

Key words: algebraic perturbation, matrix inverse, α-β generalized inverses, algebraic perturbation, matrix inverse

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