| 整环上Moore-Penrose逆的刻画 |
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| 引用本文： | 朱光艳,刘晓冀. 整环上Moore-Penrose逆的刻画[J]. 数学的实践与认识, 2009, 39(11) |
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| 作者姓名： | 朱光艳 刘晓冀 |
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| 作者单位： | 1. 湖北民族学院,预科部,湖北,恩施,445000
2. 广西民族大学,数学与计算机科学学院,广西,南宁,530006 |
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| 摘 要： | 若A为整环上的n阶可逆矩阵,则X=A-1是满足方程rank■=rank(A)的唯一矩阵.把它推广到满足Rao条件的整环上得到关于矩阵A的Moore-Penrose逆A+的刻画.
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| 关 键 词： | Moore-Penrose逆 Rao条件 整环 |
A Characterization of the Moore-Penrose Inverse over Integral Domains |
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| ZHU Guang-yan,LIU Xiao-ji. A Characterization of the Moore-Penrose Inverse over Integral Domains[J]. Mathematics in Practice and Theory, 2009, 39(11) |
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| Authors: | ZHU Guang-yan LIU Xiao-ji |
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| Abstract: | If A is a invertible matrix of order n over an integral domain, the inverse of A is the unique matrix X such that rank■=rank(A). In this paper, we generalize this fact to any general matrix over an integral domain satisfying the Rao condition to obtain an analogous result for the Moore-Penrose inverse A+ of A. |
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| Keywords: | Moore-Penrose inverse the Rao condition integral domain |
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