整环上矩阵的一类加权Moore-Penrose逆

J4 ›› 2010, Vol. 45 ›› Issue (10): 9-14.

整环上矩阵的一类加权Moore-Penrose逆

王宏兴^1,2,刘晓冀³

1.华东师范大学数学系, 上海 200241; 2.淮南师范学院数学系, 安徽淮南232001;
3.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:2009-12-22 出版日期:2010-10-16 发布日期:2010-10-19
作者简介:王宏兴(1981-),男,硕士,讲师,研究方向为广义逆理论及其应用. Email: winghongxing0902@163.com
基金资助:
国家自然科学基金资助项目(11061005);广西科学基金资助项目(0640016);安徽省高等学校优秀青年人才基金资助项目(2009SQRZ163ZD)

The weighted Moore-Penrose inverse over integral domains

WANG Hong-xing^1,2, LIU Xiao-ji³

1. Department of Mathematics, East China Normal University, Shanghai 200241;
2. Department of Mathematics, Huainan Normal University, Huainan 232001, Anhui, China;
3. College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, Guangxi, China

Received:2009-12-22 Online:2010-10-16 Published:2010-10-19

摘要/Abstract

摘要：

主要讨论整环上矩阵的一类加权Moore-Penrose逆。给出了整环上矩阵的一类加权Moore-Penrose逆的子式表达式,并给出这类加权Moore-Penrose逆存在的充要条件。

关键词: 整环;子式;加权Moore-Penrose逆

Abstract:

The generalized Moore-Penrose inverse is investigated over integral domains. New determinantal representations of the weighted Moore-Penrose inverse are introduced, and necessary and sufficient conditions for its existence over an integral domain are obtained.

Key words: integral domain; subdeterminants; weighted Moore-Penrose inverse

王宏兴1,2,刘晓冀3. 整环上矩阵的一类加权Moore-Penrose逆[J]. J4, 2010, 45(10): 9-14.

WANG Hong-xing1,2, LIU Xiao-ji3. The weighted Moore-Penrose inverse over integral domains[J]. J4, 2010, 45(10): 9-14.

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