Powers of real persymmetric anti-tridiagonal matrices with constant anti-diagonals

被引：15

作者：

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

机构：

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

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 206卷 / 02期

关键词：

Anti-tridiagonal matrices; Eigenvalues; Eigenvectors; Chebyshev polynomials;

D O I：

10.1016/j.amc.2008.10.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present an eigenvalue decomposition with an orthogonal eigenvector matrix for any real persymmetric anti-tridiagonal matrix with constant anti-diagonals. Furthermore, we derive a general expression for the entries of the powers of these anti-tridiagonal matrices in terms of the Chebyshev polynomials of the second kind. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：919 / 924

页数：6

共 4 条

[1] Positive integer powers of certain tridiagonal matrices [J].

Gutierrez-Gutierrez, Jesus .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (01) :133-140

[2]

Horn R. A., 1990, MATRIX ANAL

[3] On computing of arbitrary integer powers for one type of symmetric anti-tridiagonal matrices of even order [J].

Rimas, Jonas .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (01) :288-298

[4] On computing of arbitrary positive integer powers for one type of symmetric anti-tridiagonal matrices of odd order [J].

Rimas, Jonas .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (02) :573-581

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