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.
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页码：167 / 176
页数：9
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