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

被引：0

作者：

Linzhang Lu

Michael K. Ng

机构：

[1] Xiamen University,Department of Mathematics

[2] The University of Hong Kong,Department of Mathematics

来源：

Numerische Mathematik | 2004年 / 98卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

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：9

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