| 环上矩阵加权Moore-Penrose逆存在的条件 |
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| 引用本文： | 国欣荣,岑建苗. 环上矩阵加权Moore-Penrose逆存在的条件[J]. 宁波大学学报(理工版), 2009, 22(3): 383-386 |
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| 作者姓名： | 国欣荣 岑建苗 |
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| 作者单位： | 宁波大学,理学院,浙江,宁波,315211;宁波大学,理学院,浙江,宁波,315211 |
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| 摘 要： | 讨论了环上元素和矩阵的加权Moore．Penrose逆，得到环上矩阵存在加权Moore-Penrose逆的充要条件，推广了Patrico等所给出的有关结果，获得环上矩阵存在关于M，N加权Moore-Penrose逆的一个充要条件．
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| 关 键 词： | 加权Moore-Penrose逆 矩阵 环 元素 |
On Existence of Weighted Generalized Moore-Penrose Inverse of Matrix over Ring |
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| GUO Xin-rong,CEN Jian-miao. On Existence of Weighted Generalized Moore-Penrose Inverse of Matrix over Ring[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2009, 22(3): 383-386 |
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| Authors: | GUO Xin-rong CEN Jian-miao |
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| Affiliation: | ( Faculty of Science, Ningbo University, Ningbo 315211, China ) |
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| Abstract: | The weighted Moore-Penrose ineverse of the elements and matrix over ring is discussed, and a necessary and sufficient condition is derived for existence of the weighted Moore-Penrose inverse. The research generalizes the related result which Patrico, et al have previously given. |
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| Keywords: | the weighted Moore-Penrose inverse matrix ring elements |
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