| 环上矩阵的Moore－Penrose逆 |
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| 引用本文： | 周建华.环上矩阵的Moore－Penrose逆[J].东南大学学报(自然科学版),1995(1). |
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| 作者姓名： | 周建华 |
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| 作者单位： | 东南大学数学力学系 |
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| 摘 要： | 环上矩阵的Ｍｏｏｒｅ－Ｐｅｎｒｏｓｅ逆周建华（东南大学数学力学系．南京２１００１８）本文中的环Ｒ均指含单位元的结合环，Ｒ￣（ｍ×ｎ）表示Ｒ上地（ｍ×ｎ）矩阵全体。若σ是Ｒ上的对合反自同构，Ａ∈Ｒ￣（ｍ×ｎ），Ａ＝（ａ＿（ｉｊ）），则以Ａ＊表示（ａ＿（...
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On Generalized Moore-Penrose Inverses of Matrices over Rings |
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| Zhou Jianhua.On Generalized Moore-Penrose Inverses of Matrices over Rings[J].Journal of Southeast University(Natural Science Edition),1995(1). |
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| Authors: | Zhou Jianhua |
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| Abstract: | The generalized Moore-Penrose inverses of matrices over a ring with an involutary anti-au-tomorphisme are discussed.The necessary and sufficient condition for its existence is obtained in termsof the peitive conditiun for the matrices. |
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| Keywords: | matrices associative rings generalized inverses/positive condition |
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