山西大学学报（自然科学版）2024，Vol.47Issue(3)：564-570,7.DOI:10.13451/j.sxu.ns.2023132
对称周期Jacobi矩阵加箭型矩阵的广义逆谱问题
Generalized Inverse Eigenvalue Problem of Symmetric Periodic Jacobi Matrix Plus Arrow Matrix
摘要
Abstract
In this paper,we study the generalized inverse spectrum problem for a class of symmetric periodic Jacobi matrices plus ar-row matrices.By using the geometric properties of conic curve,symmetric periodic Jacobi matrix and arrow matrix,the extreme ei-genvalues of all the principal submatrixes of the matrix are taken as their characteristic data to reconstruct this kind of arrow banded matrix.Finally,the solution of the problem is derived as well as the algorithm and examples of the problem construction,and the ac-curacy of the results is verified.关键词
逆特征值问题/圆锥曲线/顺序主子阵/极端特征值/箭状矩阵Key words
inverse eigenvalue problems/conic/sequential principal submatrices/extreme eigenvalues/arrow banded matrix分类
数理科学引用本文复制引用
苏然,雷英杰,李繁华..对称周期Jacobi矩阵加箭型矩阵的广义逆谱问题[J].山西大学学报（自然科学版）,2024,47(3):564-570,7.基金项目
山西省自然科学基金(201801D121153) （201801D121153）
山西省基础研究计划资助项目(202203021211088) （202203021211088）
