On the Determinants and Inverses of Circulant Matrices with a General Number Sequence
Numerical Analysis
2012-02-07 v1
Abstract
The generalized sequence of numbers is defined by W_{n}=pW_{n-1}+qW_{n-2} with initial conditions W_{0}=a and W_{1}=b for a,b,p,q\inZ and n\geq2, respectively. Let W_{n}=circ(W_{1},W_{2},...,W_{n}). The aim of this paper is to establish some useful formulas for the determinants and inverses of W_{n} using the nice properties of the number sequences. Matrix decompositions are derived for W_{n} in order to obtain the results.
Keywords
Cite
@article{arxiv.1202.1068,
title = {On the Determinants and Inverses of Circulant Matrices with a General Number Sequence},
author = {Durmuş Bozkurt},
journal= {arXiv preprint arXiv:1202.1068},
year = {2012}
}