| 周期箭状矩阵的特征值反问题 |
| |
| 引用本文： | 邓远北,谢维斯.周期箭状矩阵的特征值反问题[J].湖南大学学报(自然科学版),2012,39(4):75-78. |
| |
| 作者姓名： | 邓远北 谢维斯 |
| |
| 作者单位： | 湖南大学 数学与计量经济学院,湖南 长沙,410082 |
| |
| 摘 要： | 讨论了由谱数据构造周期箭状矩阵的特征值反问题,以及周期箭状矩阵的相关性质.得出了该问题有解的充要条件以及有唯一解的充要条件,并且根据Boley与Lanczos的算法给出了求解该问题的可行数值算法.
|
| 关 键 词： | 特征值反问题 Jacobi矩阵 箭状矩阵 周期箭状矩阵 |
An Inverse Eigenvalue Problem for Periodic Arrow-like Matrices |
| |
| DENG Yuan-bei,XIE Wei-si.An Inverse Eigenvalue Problem for Periodic Arrow-like Matrices[J].Journal of Hunan University(Naturnal Science),2012,39(4):75-78. |
| |
| Authors: | DENG Yuan-bei XIE Wei-si |
| |
| Institution: | (College of Mathematics and Econometrics,Hunan Univ,Changsha,Hunan 410082,China) |
| |
| Abstract: | A class of inverse eigenvalue problem for periodic arrow-like matrices constructed by spectral data and its properties were discussed.The necessary and sufficient conditions for the solvability and uniqueness of the problem were obtained,followed by a feasible numerical algorithm according to Boley and Lanczos’ algorithm. |
| |
| Keywords: | inverse eigenvalue problem Jacobi matrix arrow-like matrix periodic arrow-like matrix |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《湖南大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《湖南大学学报(自然科学版)》下载免费的PDF全文 |
