Integer powers of anti-tridiagonal matrices of the form antitridiagn(a, 0, b), a, b ∈ R

被引：4

作者：

da Silva, Joao Lita ^{[1
]}

机构：

[1] Univ Nova Lisboa, Fac Sci & Technol, Dept Math, P-2829516 Quinta Da Torre, Caparica, Portugal

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2015年 / 69卷 / 11期

关键词：

Hankel matrices; Anti-tridiagonal matrices; Chebyshev polynomials; ARBITRARY POSITIVE POWERS; EVEN ORDER; LINEAR COMBINATION; POLYNOMIALS; EIGENVALUES; ZEROS; EIGENVECTORS; DIAGONALS;

D O I：

10.1016/j.camwa.2015.03.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we use Chebyshev polynomials to derive a general expression for integer powers of real anti-tridiagonal matrices with constant anti-diagonals and null northeast-to-southwest diagonal. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：1313 / 1328

页数：16

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