Inside the eigenvalues of certain Hermitian Toeplitz band matrices
Inside the eigenvalues of certain Hermitian Toeplitz band matrices
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DOI：
10.1016/j.cam.2009.10.010
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发表时间：
2010-03-01
影响因子：
2.4
通讯作者：
Maksimenko, E. A.
中科院分区：
文献类型：
--
作者：
Boettcher, A.;Grudsky, S. M.;Maksimenko, E. A.
虽然大型Hermitian Toeplitz矩阵的极值特征值已经被详细研究了很长一段时间，但对单个内特征值的了解却少得多。本文研究了n × n带状Hermitian Toeplitz矩阵的第j个特征值在n趋于无穷大时的性质，并给出了在j上一致的渐近公式，其中1
While extreme eigenvalues of large Hermitian Toeplitz matrices have been studied in detail for a long time, much less is known about individual inner eigenvalues. This paper explores the behavior of the jth eigenvalue of an n-by-n banded Hermitian Toeplitz matrix as n tends to infinity and provides asymptotic formulas that are uniform in j for 1