| 任意体上矩阵广义逆的反序律 |
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| 引用本文： | 刘永辉,巩子坤,魏木生. 任意体上矩阵广义逆的反序律[J]. 华东师范大学学报(自然科学版), 2004, 2004(3): 16-21 |
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| 作者姓名： | 刘永辉 巩子坤 魏木生 |
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| 作者单位： | 华东师范大学,数学系,上海,200062;枣庄学院,数学系,枣庄,277160;枣庄学院,数学系,枣庄,277160;华东师范大学,数学系,上海,200062 |
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| 基金项目： | 国家自然科学基金(10371044)上海市重点学科建设项目 |
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| 摘 要： | 证明了任意体上矩阵乘积的一条分解定理. 利用该分解定理作为工具，获得了任意体上矩阵乘积的g-逆和自反g-逆的反序律的充分必要条件.
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| 关 键 词： | 体 矩阵分解 g-逆 自反g-逆 反序律 |
| 文章编号： | 1000-5641(2004)03-0016-06 |
| 收稿时间： | 2002-12-06 |
| 修稿时间： | 2002-12-01 |
Reverse Order Laws for Generalized Inverses of Matrices on An Arbitrary Skew Field |
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| LIU Yong-hui,GONG Zi-kun,WEI Mu-sheng. Reverse Order Laws for Generalized Inverses of Matrices on An Arbitrary Skew Field[J]. Journal of East China Normal University(Natural Science), 2004, 2004(3): 16-21 |
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| Authors: | LIU Yong-hui GONG Zi-kun WEI Mu-sheng |
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| Affiliation: | 1. Department of Mathematics, East China Normal University, Shanghai 200062, China; 2. Department of Mathematics, Zaozhuang College, Zaozhuang 277160, China |
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| Abstract: | In this paper, we prove a decomposition theorem of matrix pair over an arbitrary skew field. By applying the decomposition theorem, we obtain some neccessary and sufficient conditions of reverse order laws for g-inverse and reflexive g-inverse of matrix products on an arbitrary skew field. |
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| Keywords: | Skew field matrix decomposition g-inverse reflexive g-inverse reverse order law |
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