摘要
给定三个互异实数 α,β,γ及三个不同的非零实向量 x=( x1 ,x2 ,… ,xn) T,y=( y1 ,y2 ,… ,yn) T,z=( z1 ,z2 ,… ,zn) T,构造 n阶 Jacobi矩阵 J使 ( α,x) ,( β,y) ,( γ,z)是 J的第 p,q,r个特征对。给出了这一类
Given three distinct real numbers α,β,γ and three different n-dimensional nonzero vectors x=(x 1,x 2,...,x n) T,y=(y 1,y 2,...,y n) T,z=(z 1,z 2,...,z n) T, construct an n×n Jacobi matrix J such that (α,x),(β,y),(γ,z) are the p-th, q-th, and r-th eigenpairs of J. The necessary and sufficient conditions for the solvability of the inverse eigenvalue problem for Jacobi matrices are given. A numerical method for solving the problem is presented.
出处
《南京航空航天大学学报》
EI
CAS
CSCD
北大核心
2002年第3期211-215,共5页
Journal of Nanjing University of Aeronautics & Astronautics
