| 环上矩阵广义Moore—Penrose逆的充要条件 |
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| 引用本文： | 董敏.环上矩阵广义Moore—Penrose逆的充要条件[J].徐州师范大学学报(自然科学版),2005,23(4):20-21,34. |
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| 作者姓名： | 董敏 |
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| 作者单位： | 南京人口管理干部学院,基础部,江苏,南京,210042 |
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| 摘 要： | 给出一个相对于可逆矩阵M，N的广义Moore—Penrose逆的充要条件．推广了Patricio的结果．
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| 关 键 词： | 广义Moore—Penrose逆 对合映射 矩阵的逆 |
| 文章编号： | 1007-6573（2005）04-0020-02 |
| 收稿时间： | 07 4 2005 12:00AM |
| 修稿时间： | 2005-07-04 |
A Sufficient and Necessary Condition of Generalized Moore-Penrose Inverse of Matrix over a Ring |
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| DONG Min.A Sufficient and Necessary Condition of Generalized Moore-Penrose Inverse of Matrix over a Ring[J].Journal of Xuzhou Normal University(Natural Science Edition),2005,23(4):20-21,34. |
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| Authors: | DONG Min |
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| Institution: | Dept of Basic Courses, Nanjing College for Population Programme Management, Nanjing, Jiangsu, 210042, China |
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| Abstract: | A sufficient and necessary condition of generalized Moore-Penrose inverse with respect to invertible matrices M and N is given. The obtained results generalize the work of Patricio. |
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| Keywords: | generalized Moore-Penrose inverse involution map inverse of a matrix |
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