An inverse eigenvalue problem for pseudo-Jacobi matrices

被引：11
|
作者：
Xu, Wei-Ru [1 ,2 ]
Bebiano, Natalia [2 ]
Chen, Guo-Liang [1 ]
机构：
[1] East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China
[2] Univ Coimbra, Dept Math, CMUC, P-3001454 Coimbra, Portugal
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 346卷
基金：
中国国家自然科学基金;
关键词：
Inverse eigenvalue problem; Jacobi matrix; Pseudo-Jacobi matrix; Tridiagonal matrix; ALGORITHM;
D O I：
10.1016/j.amc.2018.10.051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the theory on direct and inverse spectral problems for Jacobi matrices is revisited in a kind of pseudo-Jacobi matrices J(n, r, beta) with a mixed path as its graph in the non-self-adjoint setting. In this context, a sign change in one of the nondiagonal entries of the matrix yields strong perturbations in its spectral properties. The reconstruction of a pseudo-Jacobi matrix from its spectrum and the spectra of two complementary principal Keywords: matrices is investigated. An algorithm for the reconstruction of matrices from prescribed Inverse problem spectral data is provided and illustrative numerical experiments are performed. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：423 / 435
页数：13
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