Computation of bounds for eigenvalues of structures with interval parameters

被引：14

作者：

Leng, Huinan ^{[1
]}

He, Zhiqing ^{[1
]}

机构：

[1] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 09期

关键词：

Generalized eigenvalue problems; Interval matrices; Eigenvalue bounds; Interval parameters; Continuous functions; MATRICES; STABILITY;

D O I：

10.1016/j.amc.2010.03.121

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the computation of eigenvalue bounds for generalized interval eigenvalue problem is considered. Two algorithms based on the properties of continuous functions are developed for evaluating upper and lower eigenvalue bounds of structures with interval parameters. The method can provide the tightest bounds within a given precision. Numerical examples illustrate the effectiveness of the proposed method. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2734 / 2739

页数：6

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