Positive integer powers of certain complex tridiagonal matrices

被引：11

作者：

Oteles, Ahmet ^{[1
]}

Akbulak, Mehmet ^{[2
]}

机构：

[1] Dicle Univ, Fac Educ, Dept Math, TR-21280 Diyarbakir, Turkey

[2] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 21期

关键词：

Tridiagonal matrices; Eigenvalues; Eigenvectors; Jordan's form; Chebyshev polynomials; Fibonacci sequence; Pell sequence; SYMMETRIC CIRCULANT MATRICES; FACTORIZATIONS; REPRESENTATIONS; EIGENVALUES; RECURRENCES;

D O I：

10.1016/j.amc.2013.04.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we firstly present a general expression for the entries of the rth (r is an element of N) power of a certain n-square complex tridiagonal matrix, in terms of the Chebyshev polynomials of the first kind. Secondly, we obtain a complex factorization formula for generalized Fibonacci-Pell numbers obeying also classical Fibonacci and Pell numbers. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：10448 / 10455

页数：8

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