Finding eigenvalues for heptadiagonal symmetric Toeplitz matrices

被引：15
|
作者：
Solary, Maryam Shams [1 ]
机构：
[1] Payame Noor Univ, Dept Math, Tehran, Iran
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 402卷 / 02期
关键词：
Toeplitz matrix; Determinant; Eigenvalue; Chebyshev polynomial;
D O I：
10.1016/j.jmaa.2013.02.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a formula for the determinant of heptadiagonal symmetric Toeplitz matrices is obtained. This formula and rational functions are used for studying eigenvalue localization. This work is done by Chebyshev polynomials of the first, second, third and fourth kinds. (c) 2013 Elsevier Inc. All rights reserved.
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页码：719 / 730
页数：12
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