一类区间矩阵特征值界的性质  

Property of the Eigenvalue Bounds of a Class of Interval Matrices

作　　者：袁泉[1] 何志庆[1] 

机构地区：[1]华东理工大学数学系,上海200237

出　　处：《华东理工大学学报（自然科学版）》2008年第6期917-920,936,共5页Journal of East China University of Science and Technology

摘　　要：对称三对角区间矩阵特征值界的计算在工程领域和力学问题中具有很重要的应用价值。证明了对满足一定条件的对称三对角区间矩阵,区间特征值的上下界必定在矩阵元素区间的端点上取到。本文的结果为计算此类对称三对角区间矩阵特征值界的方法提供了良好的判据。The computation of bounds to eigenvalues for symmetric tridiagonal interval matrices is valuable in some mechanical and engineering problems. In this paper it is proved that the upper and lower bounds of the eigenvalues must be achieved at the end points of the interval entries for certain symmetric tridiagonal interval matrices. This provides a good criterion for computing eigenvalue bounds for the interval matrices of this type.

关 键 词：特征值界 对称三对角矩阵 区间矩阵 区间分析 

分 类 号：O241[理学—计算数学]