矩阵的加M权右对称因子

J4 ›› 2011, Vol. 46 ›› Issue (2): 114-116.

矩阵的加M权右对称因子

朱光艳¹, 刘晓冀^{2 *}

1.湖北民族学院预科教育学院, 湖北恩施 445000; 2.广西民族大学数学与计算机科学学院, 广西南宁 530006

收稿日期:2009-09-07 出版日期:2011-02-16 发布日期:2011-03-30
通讯作者: 刘晓冀(1972- ),男,教授,博士,研究方向为广义逆代数理论及应用. Email:xiaojiliu7204@yahoo.com.cn
作者简介:朱光艳(1980- ),女,助教,硕士,研究方向为广义逆代数理论及应用. Email:angelhappy-45@126.com
基金资助:
教育部科学技术研究重点资助项目(210164)

Matrix M-weighted right symmetry factor

ZHU Guang-yan¹, LIU Xiao-ji^2*

1. College of Preparatory Education, Hubei Institute For Nationalities, Enshi 445000, Hubei, China;
2. College of Mathematical and Computer Science,Guangxi University for Nationalities, Nanning 530006, Guangxi, China

Received:2009-09-07 Online:2011-02-16 Published:2011-03-30

摘要/Abstract

摘要：

研究一般矩阵A的加M权(加N权)对称因子,并讨论A的加M权右对称因子的结构,由此诱导出A的一个具有给定值域T和零空间S的｛2,3M｝逆A^(2,3M)_T,S 的表示。

关键词: 对称因子;广义逆;奇异值分解

Abstract:

Some definitions about matrix M-weighted (N-weighted) symmetry factors are introduced, and the construction of matrix M-weighted right symmetry factor is discussed in detail. The explicit expression of the generalized inverse A^(2,3M)_T,S, which is a ｛2,3 M｝inverse of A having the prescribed rang T and null space S, is derived.

Key words: symmetry factor; generalized inverse; singular-value decomposition

朱光艳1, 刘晓冀2 *. 矩阵的加M权右对称因子[J]. J4, 2011, 46(2): 114-116.

ZHU Guang-yan1, LIU Xiao-ji2*. Matrix M-weighted right symmetry factor[J]. J4, 2011, 46(2): 114-116.

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