Integer Powers of Certain Complex Tridiagonal Matrices and Some Complex Factorizations

被引：3
|
作者：
Bozkurt, Durmus [1 ]
Altindag, S. Burcu Bozkurt [1 ]
机构：
[1] Selcuk Univ, Sci Fac, Dept Math, Konya, Turkey
来源：
FILOMAT | 2017年 / 31卷 / 15期
关键词：
Chebyshev Polynomial; Tridiagonal Matrix; Power of Matrix; Fibonacci Polynomial; Eigenvalues; Eigenvectors; NEIGHBORING DIAGONALS; PRINCIPAL; ORDER;
D O I：
10.2298/FIL1715715B
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain a general expression for the entries of the rth power of a certain n x n complex tridiagonal matrix where if n is even, r is an element of Z or if n is odd, r is an element of N. In addition, we get the complex factorizations of Fibonacci polynomials, Fibonacci and Pell numbers.
引用
收藏
页码：4715 / 4724
页数：10
相关论文
共 50 条
12345