A new random perturbation interval of symmetric eigenvalue problem

被引：0

作者：

Tang, Ling ^{[1
]}

Xiao, Chuanfu ^{[1
]}

Li, Hanyu ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Random perturbation; simple eigenvalue; confidence level; RELIABILITY ESTIMATION;

D O I：

10.1080/03081087.2019.1590301

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A large interval of random perturbation is presented in this study. Under the derived interval, the probability that the simple eigenvalue of original symmetric matrix is still simple is not less than a given confidence level. Numerical examples are provided to illustrate the obtained results.

引用

页码：147 / 154

页数：8

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