Jacobi矩阵特征值反问题的一个数值解法

摘 要

本文利用Hessenberg矩阵特征值配置的1个结果以及3对角矩阵的有关性质提出了1个求解Jacobi矩阵特征值反问题的算法，并利用此算法给出了1个具体的数值实例．

关键词：Jacobi矩阵；Hessenberg矩阵；反问题；特征值

A Numerical Method to Solve a kind of Inverse Characteristic Problems for Jacobi Matrices

ABSTRACT

In this paper，a numerical method based on the eigenvalue assignment in an lower Hessenberg matrix and properties of tridiagonal matrices to solve a kind of inverse characteristic problems for Jacobi matrices presented． We consider a concrete numerical example by using this method．

Keywords： Jacobi matrix；Hessenberg matrix；inverse problem；characteristic value ..............................

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