On the Structure of the Eigenvectors of Large Hermitian Toeplitz Band Matrices
On the Structure of the Eigenvectors of Large Hermitian Toeplitz Band Matrices
复制标题
大厄米特托普利茨带矩阵特征向量的结构
DOI：
10.1007/978-3-0346-0548-9_2
复制
发表时间：
2010
影响因子：
1.1
通讯作者：
E. Maksimenko
中科院分区：
文献类型：
--
作者：
A. Böttcher;S. Grudsky;E. Maksimenko
本文研究了带状Hermitian Toeplitz矩阵特征向量随矩阵维数增加的渐近性态。的主要结果，这是基于一定的假设，描述了结构的特征向量的Laurent多项式生成的矩阵的误差项，指数衰减快。这一结果适用于极端和内部特征向量。
The paper is devoted to the asymptotic behavior of the eigenvectors of banded Hermitian Toeplitz matrices as the dimension of the matrices increases to infinity. The main result, which is based on certain assumptions, describes the structure of the eigenvectors in terms of the Laurent polynomial that generates the matrices up to an error term that decays exponentially fast. This result is applicable to both extreme and inner eigenvectors.