| 矩阵的特征值与矩阵方程的关系 |
| |
| 引用本文： | 崔小琴,李虹晔. 矩阵的特征值与矩阵方程的关系[J]. 湖北师范学院学报(自然科学版), 2013, 0(3): 55-60 |
| |
| 作者姓名： | 崔小琴 李虹晔 |
| |
| 作者单位： | 湖北师范学院数学与统计学院,湖北黄石,435002 |
| |
| 基金项目： | 国家自然科学基金，湖北省教育厅重点项目 |
| |
| 摘 要： | 研究了矩阵A与A*的方程与A的特征值的关系.利用特征值的性质,得出了A的特征值λ应满足的条件.这个结果刻划了一些特殊矩阵的特征值的性质,并利用这个结果给出了广义投影算子的一个充要条件.
|
| 关 键 词： | 矩阵 特征值 广义投影算子 正规矩阵 |
The relationship between the eigenvalues of matrix and matrix equations |
| |
| CUI Xiao-qin , LI Hong-ye. The relationship between the eigenvalues of matrix and matrix equations[J]. Journal of Hubei Normal University(Natural Science), 2013, 0(3): 55-60 |
| |
| Authors: | CUI Xiao-qin LI Hong-ye |
| |
| Affiliation: | (College of Mathematics and Statistics, Hubei Normal University, Huangshi 435002,China) |
| |
| Abstract: | In this paper,the relationship between the equation of A and A ＊ and eigenvalue of A has been researched. By using the characteristic of eigenvalue,we get the condition that the eigenvalue λ of A may satisfy. This result has characterized the characteristic of the eigenvalue of some special matrix, and we have used this result to give a necessary and sufficient condition about generalized projections. |
| |
| Keywords: | matrix eigenvalue general projectors normal matrix |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
