| 关于满秩矩阵集合的两个性质 |
| |
| 引用本文： | 郑华.关于满秩矩阵集合的两个性质[J].韶关学院学报,2008,29(9):6-8. |
| |
| 作者姓名： | 郑华 |
| |
| 作者单位： | 韶关学院,数学系,广东,韶关,512005 |
| |
| 摘 要： | 利用矩阵的奇异值分解理论，证明满秩矩阵集合是开集，并且是稠密的，进而说明了矩阵元素的扰动对矩阵秩的影响，以及满秩矩阵集合与秩亏矩阵集合的关系。
|
| 关 键 词： | 奇异值分解 满秩矩阵 秩亏矩阵 |
On two properties of the set of full rank matrices |
| |
| ZHENG Hua.On two properties of the set of full rank matrices[J].Journal of Shaoguan University(Social Science Edition),2008,29(9):6-8. |
| |
| Authors: | ZHENG Hua |
| |
| Institution: | ZHENG Hua (Department of Mathematics, Shaoguan University, Shaoguan 512005, Guangdong, China) |
| |
| Abstract: | The set of full rank matrices is proved to be open and dense, using the theory of singular value decomposition. The effect of the rank of a matrix by disturbance of its items is explained, and a relationship between the set of full rank matrices and the set of rank deficiency matrices is showed. |
| |
| Keywords: | singular value decomposition full rank matrix rank deficiency matrix |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
