ASYMPTOTIC BEHAVIOR OF THE SMALLEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (mod r)

ASYMPTOTIC BEHAVIOR OF THE SMALLEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (mod r)
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与完全偶函数相关的矩阵最小特征值的渐近行为 (mod r)

DOI:
10.1142/s179304211100437x
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发表时间:
2008-08
影响因子:
0.7
通讯作者:
Loewy, Raphael
Loewy, Raphael
中科院分区:
数学3区
文献类型:
--
作者:
Hong, Shaofang;Loewy, Raphael

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本文系统地分析了与完全偶函数(mod r)有关的矩阵的最小特征值。得到了与完全偶函数(mod r)有关的矩阵最小特征值的渐近性的几个定理。特别地,我们得到了著名的史密斯矩阵的最小特征值的渐近行为的信息。最后给出了一些例子来说明主要结果。
In this paper, we present systematically analysis on the smallest eigenvalue of matrices associated with completely even functions (mod r). We obtain several theorems on the asymptotic behavior of the smallest eigenvalue of matrices associated with completely even functions (mod r). In particular, we get information on the asymptotic behavior of the smallest eigenvalue of the famous Smith matrices. Finally some examples are given to demonstrate the main results.
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