| 实对称带状矩阵逆特征值问题 |
| |
| 引用本文： | 王正盛.实对称带状矩阵逆特征值问题[J].高校应用数学学报(A辑),2004,19(4):451-459. |
| |
| 作者姓名： | 王正盛 |
| |
| 作者单位： | 南京航空航天大学,理学院,江苏,南京,210016 |
| |
| 基金项目： | 国家自然科学基金(10271055) |
| |
| 摘 要： | 研究了一类实对称带状矩阵逆特征值问题：给定三个互异实数λ，μ和v及三个非零实向量x，y和z，分别构造实对称五对角矩阵T和实对称九对角矩阵A，使其都具有特征对(λ，x)，(μ，y)和(v，z)．给出了此类问题的两种提法，研究了问题的可解性以及存在惟一解的充分必要条件，最后给出了数值算法和数值例子．
|
| 关 键 词： | 实对称带状矩阵 特征值 特征向量 逆问题 |
| 文章编号： | 1000-4424(2004)04-0451-09 |
Inverse eigenvalue problems for real symmetric banded matrix |
| |
| WANG Zheng-sheng.Inverse eigenvalue problems for real symmetric banded matrix[J].Applied Mathematics A Journal of Chinese Universities,2004,19(4):451-459. |
| |
| Authors: | WANG Zheng-sheng |
| |
| Abstract: | In this paper,a kind of inverse eigenvalue problems are proposed which are the reconstructions of real symmetric five-diagonal matrix and real symmetric nine-diagonal matrix by three eigenvalues and corresponding eigenvectors. The solvability of the problems is discussed and some sufficient and necessary conditions for existence of solution of the problems are given. Furthermore, numerical algorithms and some numerical experiments are given. |
| |
| Keywords: | real symmetric banded matrix eigenvalue eigenvector inverse problem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
