关于Jacobi矩阵逆特征值问题的扰动分析  

PERTURBATION ANALYSIS OF THE INVERSE EIGENVALUE PROBLEMS FOR JACOBI MATRICES

作　　者：刘新国[1] 

机构地区：[1]青岛海洋大学数学系,青岛266003

出　　处：《高等学校计算数学学报》2001年第1期9-14,共6页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金

摘　　要：This note deals with the perturbation analysis of the inverse eigenvalue problems for Jacobi matrices. Following sun’s approach to study the sensitivity of the system Hessenberg form, new perturbation bounds are obtained. The new bounds are computable and sharpen than the ones proved by the author in 1992.This note deals with the perturbation analysis of the inverse eigenvalue problems for Jacobi matrices. Following sun's approach to study the sensitivity of the system Hessenberg form, new perturbation bounds are obtained. The new bounds are computable and sharpen than the ones proved by the author in 1992.

关 键 词：JACOBI矩阵 逆特征值 扰动分析 

分 类 号：O241.6[理学—计算数学]