文献类型：期刊文献

英文题名：A property of eigenvalue bounds for a class of symmetric tridiagonal interval matrices

作者：Yuan, Quan[1];Leng, Huinan[1];He, Zhiqing[1]

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

年份：2011

卷号：18

期号：4

起止页码：707

外文期刊名：NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000292548100006)】；

语种：英文

外文关键词：eigenvalue bounds; symmetric tridiagonal matrices; interval matrices; interval analysis

摘要：The eigenvalue bounds of interval matrices are often required in some mechanical and engineering fields. In this paper, we consider an interval eigenvalue problem with symmetric tridiagonal matrices. A theoretical result is obtained that under certain assumptions the upper and lower bounds of interval eigenvalues of the problem must be achieved just at some vertex matrices of the interval matrix. Then a sufficient condition is provided to guarantee the assumption to be satisfied. The conclusion is illustrated also by a numerical example. Copyright (C) 2010 John Wiley & Sons, Ltd.