摘要
本文提出由两个特征值和相应的特征向量构造周期对称三对角矩阵的一类特征值反问题,讨论了这类问题的可解性,给出了这类问题有解的充分必要条件,描述了求解这类问题的数值算法,并且给出了数值例子。
In this paper,a class of inverse eigenvalue problem are raised to construct a periodic symmetric tridiagonal matrix from, two eigenvalues and corresponding eigenvectors. The solubility of the problem is discussed. Some sufficient and necessary conditions for the problem to have a solution are given. The numerical algorithm for solving the problem is described. Some numerical examples are presented.
基金
国家自然科学基金
关键词
线性代数
特征值
特征向量
反问题
numerical algebra .characteristic values ,characteristic vectors .periodic tridiag-onal matrix,inverse problem
