On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem

被引：5

作者：

Lu, LZ ^{[1
]}

Ng, MK

机构：

[1] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China

[2] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

来源：

NUMERISCHE MATHEMATIK | 2004年 / 98卷 / 01期

关键词：

Differential Equation; Eigenvalue Problem; Jacobi Matrix; Vary Cross Section; Inverse Eigenvalue Problem;

D O I：

10.1007/s00211-004-0525-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the inverse eigenvalue problem of a specially structured Jacobi matrix, which arises from the discretization of the differential equation governing the axial of a rod with varying cross section (Ram and Elhay 1998 Commum. Numer. Methods Engng. 14 597-608). We give a sufficient and some necessary conditions for such inverse eigenvalue problem to have solutions. Based on these results, a simple method for the reconstruction of a Jacobi matrix from eigenvalues is developed. Numerical examples are given to demonstrate our results.

引用

页码：167 / 176

页数：10

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