对称五对角矩阵加箭型矩阵的广义逆谱问题
Generalized inverse eigenvalue problem of symmetric pentadiagonal matrix plus arrow matrix
苏然 1雷英杰 1李繁华1
作者信息
- 1. 中北大学 数学学院,太原 030051
- 折叠
摘要
研究了一类对称五对角矩阵加箭型矩阵的广义逆谱问题,将该矩阵所有主子阵的极端特征值作为其特征数据,利用几何学上的圆锥曲线、五对角矩阵及箭型矩阵的相关性质,重构此类特殊箭状矩阵.最后给出了该问题解的充分条件以及问题构造的算法与实例,验证了结果的准确性.
Abstract
This paper studies the generalized inverse spectrum problem of a kind of symmetric pentadiagonal matrix plus arrow matrix.First,the extreme eigenvalues of all principal submatrixes of the matrix are taken as their characteristic data.Second,the geometric properties of conic curve,pentadiagonal matrix and arrow matrix are employed to reconstruct this kind of special arrow banded matrix.Finally,the sufficient conditions for the solution of the problem and the algorithm and examples of the problem construction are given,and the accuracy of the results is verified.
关键词
逆谱问题/圆锥曲线/五对角矩阵/箭型矩阵/箭状矩阵Key words
inverse spectral problems/conic/pentadiagonal matrices/arrow matrices/arrow banded matrix引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
万方数据