AN INVERSE EIGENVALUE PROBLEM FOR JACOBI MATRICES

被引：0

作者：

Haixia Liang and Erxiong Jiang Department of Mathematics

机构：

来源：

JournalofComputationalMathematics | 2007年 / 05期

关键词：

Symmetric tridiagonal matrix; Jacobi matrix; Eigenvalue problem; Inverse eigenvalue problem;

D O I：

暂无

中图分类号：

O241 [数值分析];

学科分类号：

070102 ;

摘要：

In this paper, we discuss an inverse eigenvalue problem for constructing a 2n×2n Jacobi matrix T such that its 2n eigenvalues are given distinct real values and its leading principal submatrix of order n is a given Jacobi matrix. A new sufficient and necessary condition for the solvability of the above problem is given in this paper. Furthermore, we present a new algorithm and give some numerical results.

引用

页码：620 / 630

页数：11

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