An inverse eigenvalue problem for modified pseudo-Jacobi matrices

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:389

Article

Xu, Wei-Ru¹  Bebiano, Natalia²  Chen, Guo-Liang³ 

[1] Sichuan Normal Univ, Laurent Math Ctr, Sch Math Sci, Chengdu 610066, Peoples R China

[2] Univ Coimbra, Dept Math, CMUC, P-3001454 Coimbra, Portugal

[3] East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China

关键词: Inverse eigenvalue problem;    Pseudo-Jacobi matrix;    Periodic pseudo-Jacobi matrix;    Spectral data;   

DOI  :  10.1016/j.cam.2020.113361

来源: Elsevier

【 摘 要 】

In this paper, we investigate an inverse eigenvalue problem for matrices that are obtained from pseudo-Jacobi matrices by only modifying the (1, r)-th and (r, 1)-th entries, 3 <= r <= n. Necessary and sufficient conditions under which the problem is solvable are derived. Uniqueness results are presented and an algorithm to reconstruct the matrices from the given spectral data is proposed. Illustrative examples are provided. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free