| 分块态射的广义逆 |
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| 引用本文： | 张仕光,刘晓冀.分块态射的广义逆[J].大学数学,2009,25(1). |
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| 作者姓名： | 张仕光 刘晓冀 |
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| 作者单位： | 1. 衡水学院,数学与计算机科学系,衡水,053000
2. 广西民族大学,数学与计算机科学学院,南宁,530006 |
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| 基金项目： | 广西自治区科学基金，河北教育厅自然科学研究项目 |
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| 摘 要： | ClineRE给出了分块矩阵的Moore-Penrose逆的表达式,PetrPeska引进了分块态射的记号且导出了分块态射的Moore-Penrose逆的表达式.本文中,我们推广了Cline型分块态射的记号并得到了Cline型分块态射的Moore-Penrose逆和Drazin逆以及群逆的表达式.
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| 关 键 词： | Moore-Penrose逆 Drazin逆 分块态射 加法范畴 Abel范畴 |
The Generalized Inverse of Partitioned Morphisms |
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| ZHANG Shi-guang,LIU Xiao-ji.The Generalized Inverse of Partitioned Morphisms[J].College Mathematics,2009,25(1). |
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| Authors: | ZHANG Shi-guang LIU Xiao-ji |
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| Institution: | 1.Department of Mathematics and Computer Science;Hengshui 530006;China;2.College of Maths;and Computer Science;Guangxi University for Nationalities;Nanning 530006;China |
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| Abstract: | Cline R E published a formula for a Moore-Penrose inverse of a partitioned matrix.Petr Peska introduced the notion of partitioned morphism and gave a formula for its Moore-Penrose inverse.In this article,the extension of Cline's partitioned morphism is introduced and formulas for its Moore-Penrose inverse and Drazin inverse and group inverse are derived. |
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| Keywords: | Moore-Penrose inverse Drazin inverse partitioned morphism additive category Abelian category |
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