| 两个矩阵之和的Drazin逆的表示 |
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| 引用本文： | 郭丽,邹红林,杜文明.两个矩阵之和的Drazin逆的表示[J].吉林大学学报(理学版),2016,54(5):1032-1035. |
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| 作者姓名： | 郭丽 邹红林 杜文明 |
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| 作者单位： | 1. 东南大学 数学系, 南京 210096; 2. 北华大学 数学与统计学院, 吉林 吉林 132013 |
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| 摘 要： | 考虑两个矩阵之和的Drazin逆的表示,对于n阶矩阵A,B,在A~DB=0,AB~D=0,B~πABAA~π=0,B~πAB~2 A~π=0的条件下,利用矩阵的核心幂零分解给出A+B的Drazin逆的表达式.
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| 关 键 词： | Drazin逆 指数 幂零矩阵 |
| 收稿时间： | 2016-06-27 |
Representations for Drazin Inverses of Sum of Two Matrices |
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| GUO Li,ZOU Honglin,DU Wenming.Representations for Drazin Inverses of Sum of Two Matrices[J].Journal of Jilin University: Sci Ed,2016,54(5):1032-1035. |
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| Authors: | GUO Li ZOU Honglin DU Wenming |
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| Institution: | 1. Department of Mathematics, Southeast University, Nanjing 210096, China;2. School of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China |
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| Abstract: | We considered representations for Drazin inverses of the sum of two matrices, under the condition of ADB=0, ABD=0, BπABAAπ=0, BπAB2Aπ=0 for the n order matrix WTHX]AWT] and B. We gave representations for Drazin inverses of A+B by using the core nilpotent decomposition of matrices. |
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| Keywords: | Drazin inverse index nilpotent matrix |
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