中北大学学报（自然科学版）2024，Vol.45Issue(2)：163-169,7.DOI:10.3969/j.issn.1673-3193.2024.02.005
度为2的广义星图矩阵的逆特征值问题
Inverse Eigenvalue Problems for Generalized Star Graph Matrix with Degree 2
摘要
Abstract
The inverse eigenvalue problems of generalized star graph matrices(matrices of a special kind of tree)with degree 2 were studied by using two methods.Firstly,a scheme for labeling the vertices of such a tree was introduced in order to express the corresponding matrices in a number of special forms.Then,inverse eigenvalue problem of matrix for the given two different kinds of eigendata was transformed into the solution of the system of linear equations,and the sufficient and necessary conditions for the prob-lem to have a unique solution were obtained.Finally,an expression for the unique solution of the matrix was provided,and the numerical algorithms and examples were given to verify the accuracy of the results.关键词
向量对/特征对/逆特征值问题/广义星图/图矩阵Key words
vector pair/characteristic pair/inverse eigenvalue problem/generalized star graph/graph matrix分类
数理科学引用本文复制引用
李繁华,雷英杰,苏然..度为2的广义星图矩阵的逆特征值问题[J].中北大学学报（自然科学版）,2024,45(2):163-169,7.基金项目
山西省基础研究计划资助项目(202203021211088) （202203021211088）
