Integer powers of real odd order skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals (antitridiagn (a, c, -a), a ∈ R\{0}, c ∈ R)

被引：11

作者：

Rimas, Jonas ^{[1
]}

机构：

[1] Kaunas Univ Technol, Fac Fundamental Sci, Dept Appl Math, LT-51368 Kaunas, Lithuania

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 12期

关键词：

Anti-tridiagonal matrices; Eigenvalues; Eigenvectors; Chebyshev polynomials; ARBITRARY POSITIVE POWERS; EVEN ORDER;

D O I：

10.1016/j.amc.2012.12.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we give the eigenvalue decomposition for real odd order skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals and derive the general expression for integer powers of such matrices. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：7075 / 7088

页数：14

共 10 条

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