| 一类广义逆的代数扰动 |
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| 引用本文： | 盛兴平,陈果良.一类广义逆的代数扰动[J].华东师范大学学报(自然科学版),2007,2007(3):11-15. |
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| 作者姓名： | 盛兴平 陈果良 |
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| 作者单位： | 1. 阜阳师范学院,数学系,安徽,阜阳,236032;华东师范大学,数学系,上海,200062
2. 华东师范大学,数学系,上海,200062 |
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| 基金项目： | 国家自然科学基金
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上海市重点基础研究项目
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安徽省高校青年教师重点科研项目 |
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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.
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| 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 |
| 文章编号： | 1000-5641（2007）03-0011-05 |
| 收稿时间： | 2006-01 |
| 修稿时间： | 2006-01 |
Algebraic Perturbation Theory for Some Generalized Inverse(Chinese) |
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| SHENG Xing-ping,CHEN Guo-liang.Algebraic Perturbation Theory for Some Generalized Inverse(Chinese)[J].Journal of East China Normal University(Natural Science),2007,2007(3):11-15. |
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| Authors: | SHENG Xing-ping CHEN Guo-liang |
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| Institution: | 1.Department of Mathematics, Fuyang Normal College, Fuyang Anhui 236032, China; 2.Department of Mathematics, East China Normal University, Shanghai 200062, China |
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| 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. |
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