Integer Powers of Certain Complex (2k+1)-diagonal Toeplitz Matrices
Classical Analysis and ODEs
2016-03-15 v2 Number Theory
Spectral Theory
Abstract
In this paper, we obtain a general expression for the entries of the lth (l is integer) powers of even order (2k+1)-diagonal Toeplitz matrices. Additionally, we have the complex factorizations of Fibonacci polynomials.
Cite
@article{arxiv.1503.05400,
title = {Integer Powers of Certain Complex (2k+1)-diagonal Toeplitz Matrices},
author = {H. Kübra Duru and Durmuş Bozkurt},
journal= {arXiv preprint arXiv:1503.05400},
year = {2016}
}