A Jacobi matrix inverse eigenvalue problem with mixed data

被引：12
|
作者：
Wei, Ying [1 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 439卷 / 10期
关键词：
Jacobi matrix; Eigenvalue; Inverse problem; Submatrix; ALGORITHM;
D O I：
10.1016/j.laa.2013.07.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the inverse eigenvalue problem of reconstructing a Jacobi matrix from part of its eigenvalues and its leading principal submatrix is considered. The necessary and sufficient conditions for the existence and uniqueness of the solution are derived. Furthermore, a numerical algorithm and some numerical examples are given. (C) 2013 Published by Elsevier Inc.
引用
收藏
页码：2774 / 2783
页数：10
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