| 矩阵秩的Sylvester与Frobenius等式问题 |
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| 引用本文： | 吕登峰,刘琼,胡付高. 矩阵秩的Sylvester与Frobenius等式问题[J]. 孝感学院学报, 2006, 26(6): 62-65 |
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| 作者姓名： | 吕登峰 刘琼 胡付高 |
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| 作者单位： | 1. 孝感学院,数学系,湖北,孝感,432000;华中师范大学,数学与统计学学院,湖北,武汉,430079
2. 孝感学院,数学系,湖北,孝感,432000 |
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| 摘 要： | 本文通过线性空间的线性变换讨论了Sylvester与Frobenius不等式取等号的条件，并将它们推广到矩阵多项式中，建立了一类广泛的秩恒等式。
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| 关 键 词： | Sylvester不等式 Frobenius不等式 线性变换 矩阵的秩 |
| 文章编号： | 1671-2544（2006）06-0062-04 |
| 收稿时间： | 2006-10-08 |
| 修稿时间： | 2006-10-08 |
The Sylvester and Frobenius Equation Problem of the Matrix''''s Rank |
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| LV Deng-feng,LIU Qiong,HU Fu-gao. The Sylvester and Frobenius Equation Problem of the Matrix''''s Rank[J]. JOURNAL OF XIAOGAN UNIVERSITY, 2006, 26(6): 62-65 |
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| Authors: | LV Deng-feng LIU Qiong HU Fu-gao |
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| Affiliation: | 1. Department of Mathematics, Xiaogan University, Xiaogan, Hubei 432000, China ; 2. College of Mathematics and Statistics, Central China Normal University, Wuhan, Hubei 430079, China |
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| Abstract: | Through the linear transformation of the linear space, this paper discussed the condition of Sylvester and Frobenius inequality taking mark of equality, and by extending them to the matrix polynomial, set up a type of extensive rank identical equation. |
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| Keywords: | Sylvester inequality Frobenius inequality linear transformation matrix's rank |
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