摘要
所谓非齐次对称特征值问题就是给定对称矩阵A,一个向量b,求实数λ和向量X使得AX=λX+b并且‖×‖_2=1,则称λ为非齐次特征值,相应的向量X称为非齐次特征向量、本文讨论了非齐次对称特征值问题解的存在性及解的个数;描述了求解非齐次对称特征值问题的数值方法.
The problem of inhomogeneous symmetric eigenvalue is discussed in this paper.
Problem ISEP. Given a nxn real symmetric matrix A and a real n-dimension vector b, find a real scalar λ and a real vector x such that Ax=λx+b and ‖x‖_2 = 1
The paper discussed how many real solution pairs (λ, x) of this problem exist. The numerical method to these pairs is described
出处
《青岛建筑工程学院学报》
1991年第3期76-81,共6页
Journal of Qingdao Institute of Architecture and Engineering
关键词
非齐次特征值
矩阵
向量
inhomogeneous eigenvalue
inhogeneous eigenvectors
