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

页码：2774 / 2783

页数：10