中北大学学报（自然科学版）2024，Vol.45Issue(2)：158-162,169,6.DOI:10.3969/j.issn.1673-3193.2024.02.004
两类非对称双箭型矩阵的广义逆谱问题
Generalized Inverse Spectrum Problems for Two Kinds of Nonsymmetric Doubly Arrow Matrix
摘要
Abstract
The generalized inverse spectral problem of two types of nonsymmetric double-arrow matrices was studied in this paper.Firstly,two sets of eigenpairs of two types of matrices were used as their eigendata.Secondly,the inverse spectral problem of two types of matrices was converted into a problem of solving a system of linear equations by using the functional relationship between matrix elements,linear relationship and the related properties of arrow matrices,and then the reconstruction of two types of matrices was realized.Finally,the sufficient and necessary conditions for the problem to have a unique solution and the algorithm for the problem construction were given,and the results were verified by the corresponding numerical examples.关键词
特征对/逆谱问题/箭型矩阵/线性关系/函数关系Key words
characteristic pair/inverse spectrum problem/arrow matrices/linear relationship/function relationship分类
数理科学引用本文复制引用
苏然,雷英杰,李繁华..两类非对称双箭型矩阵的广义逆谱问题[J].中北大学学报（自然科学版）,2024,45(2):158-162,169,6.基金项目
山西省基础研究计划资助项目(202203021211088) （202203021211088）
