| 环上矩阵的加权广义逆 |
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| 引用本文： | 廖祖华,黄昱,易丽华.环上矩阵的加权广义逆[J].数学物理学报(A辑),2010,30(3):708-717. |
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| 作者姓名： | 廖祖华 黄昱 易丽华 |
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| 作者单位： | 江南大学理学院,江苏无锡,214122 |
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| 基金项目： | 江南大学创新团队发展计划项目 |
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| 摘 要： | 该文从另一方面给出了Hartwig R E提出的公开问题的解答.设R是带有对合*的任意环,作者定义了环R上的一种新的加权广义逆,记为A_(P,Q)~+,并给出了A_(P,Q)~+存在的充要条件.同时,得到了一些重要的性质.
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| 关 键 词： | 环 矩阵 加权广义逆 满单分解 |
| 收稿时间： | 2008-03-25 |
| 修稿时间： | 2009-06-25 |
The Weighted Generalized Inverses of Matrices over Rings |
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| LIAO Zu-Hua,HUANG Yu,YI Li-Hua.The Weighted Generalized Inverses of Matrices over Rings[J].Acta Mathematica Scientia,2010,30(3):708-717. |
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| Authors: | LIAO Zu-Hua HUANG Yu YI Li-Hua |
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| Institution: | School of Science, Jiangnan University, Jiangsu Wuxi |214122 |
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| Abstract: | In this paper, we give a new kind of answer from another aspect to an open problem posed by Hartwig R E27]. Let R be an arbitrary ring with involution *. We define a new type of the weighted generalized inverse of matrices over R, denoted by A+P, Q, and give the necessary and sufficient conditions for the existence of A+P, Q. And several expressions of A+P, Q are also given. Meanwhile, some important properties are obtained. |
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| Keywords: | Ringzz Matriceszz Weighted generalized inversezz Epic-monic factorizationzz |
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