| 由三个特殊次序向量对构造三对角对称矩阵 |
| |
| 引用本文： | 易福侠,王金林,孟旭东,周宁.由三个特殊次序向量对构造三对角对称矩阵[J].数学的实践与认识,2011,41(19). |
| |
| 作者姓名： | 易福侠 王金林 孟旭东 周宁 |
| |
| 作者单位： | 1. 南昌航空大学科技学院,江西南昌,330034
2. 南昌航空大学继续教育学院 江西 南昌330034 |
| |
| 基金项目： | 江西省教改课题“独立学院线性代数课程教学的研究与实践”(JXJG-10-81-4) |
| |
| 摘 要： | 讨论利用给定的三个特殊次序向量对构造不可约三对角矩阵、Jacobi矩阵和负Jacobi矩阵的反问题.在求解方法中,将已知的一些关系式等价地转化为线性方程组,利用线性方程组有解的条件,得到了所研究问题有惟一解的充要条件,并给出了数值算法和例子.
|
| 关 键 词： | 反问题 对称矩阵 不可约三对角矩阵 Jacobi矩阵 负Jacobi矩阵 |
On the Construction of Tridiagonal Symmetric Matrices from Three Special ordered Vector Pairs |
| |
| YI Fu-xia,WANG Jin-lin,MENG Xu-dong,ZHOU Ning.On the Construction of Tridiagonal Symmetric Matrices from Three Special ordered Vector Pairs[J].Mathematics in Practice and Theory,2011,41(19). |
| |
| Authors: | YI Fu-xia WANG Jin-lin MENG Xu-dong ZHOU Ning |
| |
| Institution: | YI Fu-xia~1,WANG Jin-lin~1,MENG Xu-dong~1,ZHOU Ning~2 (1.School of Science and Technology,Nanchang Hangkong University,Nanchang 330034 China) (2.School of Continuing Education,Nancheng 330034,China) |
| |
| Abstract: | In this paper,the inverse problems of constructing the irreducible tridiagonal matrixes、Jacobi matrixes and negative Jacobi matrixes with given three special ordered vector pairs are discussed.In the method for solving these problems.the equivalent relations between these problems and linear equation systems are considered,By using the conditions for the solvability of the linear equation systems,some necessary and sufficient conditions under which there exists a unique solution for the discussed problems are obtained,furthermore numerical algorithms and numerical experiments are presented. |
| |
| Keywords: | inverse problem symmetric matrix irreducible tridiagonal matrix Jacobi matrix negative Jacobi matrix |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
