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ฎ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 paperღ，a numerica✞l 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 e➳xample by using thiฉs method．

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

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