| 修正矩阵的Drazin逆 |
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| 引用本文： | 刘喜富. 修正矩阵的Drazin逆[J]. 西南大学学报(自然科学版), 2012, 34(6): 074-077 |
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| 作者姓名： | 刘喜富 |
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| 作者单位： | 重庆大学数学与统计学院 |
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| 基金项目： | 中央高校基本科研业务费资助项目(CDJXS10100019) |
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| 摘 要： | 主要讨论了修正矩阵A-CB的Drazin逆,其中A为幂等矩阵.首先根据Drazin逆的定义给出了A-CB在条件C=AC下的Drazin逆的表达式,再利用两矩阵之和的Drazin逆的计算公式得到了A-CB在条件BC=BAC下的Drazin逆的表达式.
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| 关 键 词： | Drazin逆 修正矩阵 幂等矩阵 |
TheDrazinInverseofaModifiedMatrix |
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| LIU Xi-fu. TheDrazinInverseofaModifiedMatrix[J]. Journal of southwest university (Natural science edition), 2012, 34(6): 074-077 |
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| Authors: | LIU Xi-fu |
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| Affiliation: | LIU Xi-fu School of Mathematics and Statistics,Chongqing University,Chongqing 401331,China |
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| Abstract: | In this paper,the Drazin inverse of the modified matrix A-CB is considered,where A is idempotent.First,the expression for the Drazin inverse of A-CB is presented under the condition C=AC,and the result is proved by the definition of the Drazin inverse.Second,another expression for the Drazin inverse of A-CB under the condition BC=BAC is obtained by using the formula of the Drazin inverse of a sum of two matrices and the result obtained previously. |
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| Keywords: | Drazin inverse modified matrix idempotent matrix |
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