双对称五对角矩阵逆特征问题

Inverse Eigenvalue Problem for Doubly Symmetric Five-diagonal Matrix

主要研究双对称五对角矩阵逆特征问题的可解性.给出了在给定两个互异实数λ,μ和两个n维对称或反对称向量x,y的情况下,构造一个n阶双对称五对角阵A,使得(λ,x),(μ,y)是A的两个特征对的方法.还给出了两个数值例子.

In this paper,a kind of inverse eigenvalue problem is proposed, which is the reconstruction of doubly symmetric five-diagonal matrix by two eigenvalues and corresponding symmetric eigenvectors or anti-symmetric eigenvectors.Furthermore, some numerical experiments are given.