| 关于体上分块矩阵的群逆 |
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| 引用本文： | 卜长江.关于体上分块矩阵的群逆[J].数学杂志,2006,26(1):49-52. |
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| 作者姓名： | 卜长江 |
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| 作者单位： | 哈尔滨工程大学应用数学系,黑龙江,哈尔滨,150001 |
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| 基金项目： | 哈尔滨工程大学校科研和教改项目 |
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| 摘 要： | 本文利用分块矩阵方法．研究了体上两个矩阵乘积的群逆的存在性及表示形式，给出了体上两个矩阵乘积群逆存在的充分必要条件和表示形式．并且在一定条件下．给出了体上分块矩阵的群逆存在性及表示形式．
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| 关 键 词： | 体 群逆 分块矩阵 |
| 文章编号： | 0255-7797（2006）01-0049-04 |
| 收稿时间： | 2003-06-04 |
| 修稿时间： | 2003-06-042003-12-11 |
ON GROUP INVERSES OF BLOCK MATRICES OVER SKEW FIELDS |
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| BU Chang-jiang.ON GROUP INVERSES OF BLOCK MATRICES OVER SKEW FIELDS[J].Journal of Mathematics,2006,26(1):49-52. |
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| Authors: | BU Chang-jiang |
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| Institution: | Dept. o f Appl. Math. , Harbin Engineering University, Harbin 150001, China |
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| Abstract: | In this paper, we use block matrix to study the existence and expression of group inverse of product of two matrices over skew fields. We obtain a sufficicient and necessary condition for the existence of group inverse of product of two matrices over skew fields, and get an expression for it. We also prove that group inverse of block matrix exists in certain condition, and give its expression over skew filelds, |
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| Keywords: | skew field group inverses block matrices |
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