安徽大学学报（自然科学版）2025，Vol.49Issue(2)：20-27,8.DOI:10.3969/j.issn.1000-2162.2025.02.003
一类伪Jacobi矩阵的保结构构造算法
A structure-preserving construction algorithm for a kind of pseudo-Jacobi matrices
摘要
Abstract
This paper investigated the inverse eigenvalue problem of a class of pseudo-Jacobi matrices.A new formulation of this problem was proposed by exploring the spectrum distribution properties of pseudo-Jacobi matrices.Subsequently,the uniqueness of solutions to this kind of problem was studied,and the necessary and sufficient conditions and the concrete structure-preserving construction algorithm were given.Finally,the uniqueness of the solution to the problem and the feasibility of the proposed algorithm were verified by numerical examples.关键词
伪Jacobi矩阵/保结构算法/逆特征值问题/谱分布Key words
pseudo-Jacobi matrix/structure-preserving algorithm/inverse eigenvalue problem/spectrum distribution分类
数理科学引用本文复制引用
徐伟孺,蒲会,彭欢,沈芮西..一类伪Jacobi矩阵的保结构构造算法[J].安徽大学学报（自然科学版）,2025,49(2):20-27,8.基金项目
国家自然科学基金资助项目(12301484) （12301484）
四川省自然科学基金资助项目(2022NSFSC1815,2024NSFSC2041) （2022NSFSC1815,2024NSFSC2041）
四川师范大学大学生创新创业训练计划项目(S202310636114) （S202310636114）
四川师范大学2023年度人才培养质量和教学改革校级项目(20230095XKC) （20230095XKC）
