Positive Integer Powers of One Type of Complex Tridiagonal Matrix

被引：0

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：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2014年 / 37卷 / 04期

关键词：

Tridiagonal matrices; eigenvalues; eigenvectors; Jordan's form; Chebyshev polynomials; SYMMETRIC CIRCULANT MATRICES; IMAGINARY AXIS; EIGENVALUES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 two complex factorizations for Fibonacci and Pell numbers. We also give some Maple 13 procedures in order to verify our calculations.

引用

页码：971 / 981

页数：11

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