周期Jacobi矩阵的逆特征值问题  

INVERSE EIGENVALUE PROBLEM FOR PERIODIC JACOBI MATRICES

作　　者：张振跃[1] 

机构地区：[1]浙江大学

出　　处：《高等学校计算数学学报》1991年第3期273-282,共10页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金

摘　　要：在矩阵逆特征值问题中,关于Jacobi矩阵的研究是比较成熟的本文将讨论如下周期Jacobi矩阵的逆特征值问题: 问题1 给定两组实数{λ_i}_(i=1)~n和{μ_i}_(i=1)^(n=1),及实数β≠0,满足如下条件:In this paper, an inverse eigenvalue problem for periodic Jacobi matrices is considered. We transform the problem into another inverse problem for Jacobi matrices, which can be solved by some stable and effective algorithms, and suggust a stable algorithm for solving the inverse eigenvalue problem for periodic jacobi matrices. The number of its solutions is obtained too.

关 键 词：JACOBI矩阵 逆特征值问题 约化法 

分 类 号：O241.6[理学—计算数学]