| 分块矩阵群逆的表示 |
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| 引用本文： | 宋丽艳. 分块矩阵群逆的表示[J]. 佳木斯大学学报, 2007, 25(5): 673-674 |
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| 作者姓名： | 宋丽艳 |
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| 作者单位： | 佳木斯大学数学系,黑龙江,佳术斯,154007 |
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| 摘 要： | S.L.Campbell在文献[1]中提出形为M=(ACBO)(其中A为方阵)的矩阵的Drazin逆表示问题.该问题至今未解决.本文利用群逆存在的充分必要条件和群逆的求解公式,给出形为M的分块矩阵的群逆的存在性证明及一般表示方法.
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| 关 键 词： | 分块矩阵 群逆 幂等阵 酉矩阵 |
| 文章编号： | 1008-1402（2007）05-0673-02 |
| 收稿时间： | 2007-06-28 |
| 修稿时间： | 2007-06-28 |
Representation of the Group Inverses for the Block Mat |
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| SONG Li-yan. Representation of the Group Inverses for the Block Mat[J]. Journal of Jiamusi University(Natural Science Edition), 2007, 25(5): 673-674 |
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| Authors: | SONG Li-yan |
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| Affiliation: | Department of Mathematics,Jiamusi,University,Jiamusi 154007,China |
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| Abstract: | The problem of representations for Drazin inverse of matrices of the form(ABC0) is proposed by S.L.Campbell,where A is square.This is an open research problem. According to the existential conditions and the operating formula of the group inverses,the existence and representation of the group inverses for the partitioned matrices of M are given. |
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| Keywords: | partitioned matrices group inverses of matrix idempotent matrix unitary matrix |
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