Positive integer powers of complex skew-symmetric circulant matrices

被引：5

作者：

Gutierrez-Gutierrez, Jesus ^{[1
,2
]}

机构：

[1] CEIT, E-20018 San Sebastian, Spain

[2] Univ Navarra, Tecnun, E-20018 San Sebastian, Spain

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 202卷 / 02期

关键词：

circulant matrices; eigenvalues; eigenvectors; Jordan's form; Chebyshev polynomials;

D O I：

10.1016/j.amc.2008.03.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive a general expression for the entries of the qth power (q is an element of N) of any complex skew-symmetric circulant matrix, in terms of the Chebyshev polynomials of the first and second kind. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：798 / 802

页数：5

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