| 关于四个三幂等阵线性组合的可逆性和群逆 |
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| 引用本文： | 陈引兰,左可正,谢涛.关于四个三幂等阵线性组合的可逆性和群逆[J].数学杂志,2015,35(5):1026-1034. |
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| 作者姓名： | 陈引兰 左可正 谢涛 |
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| 作者单位： | 湖北师范学院数学与统计学院, 湖北 黄石 435002,湖北师范学院数学与统计学院, 湖北 黄石 435002,湖北师范学院数学与统计学院, 湖北 黄石 435002 |
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| 基金项目： | Supported by Key Research Project and Youth Research Project of Educational Department of Hubei Province (D20122202;B20122203) |
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| 摘 要： | 本文研究了四个三幂等阵线性组合的可逆性及群逆.利用矩阵分解的方法,获得了它们可逆及群逆的一些条件,并得到其逆和群逆的计算公式,这些结论完善了k幂等阵可逆性理论.
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| 关 键 词： | 逆 群逆 线性组合 三幂等阵 |
| 收稿时间： | 2013/4/4 0:00:00 |
| 修稿时间： | 2013/6/7 0:00:00 |
ON NONSINGULARITY AND GROUP INVERSE OF LINEAR COMBINATIONS OF FOUR TRIPOTENT MATRICES |
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| CHEN Yin-lan,ZUO Ke-zheng and XIE Tao.ON NONSINGULARITY AND GROUP INVERSE OF LINEAR COMBINATIONS OF FOUR TRIPOTENT MATRICES[J].Journal of Mathematics,2015,35(5):1026-1034. |
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| Authors: | CHEN Yin-lan ZUO Ke-zheng and XIE Tao |
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| Institution: | School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China,School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China and School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China |
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| Abstract: | In this paper, some conditions for the nonsingularity and group inverses of linear combinations of four tripotent matrices is mainly established. By using the method of matrix decomposition, we obtain some formulae for the inverses and group inverses of them, which perfects the theory of nonsingularity of linear combinations of k-potent matrices. |
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| Keywords: | inverse group inverse linear combination tripotent matrices |
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