On the Determinants and Inverses of Circulant Matrices with a General Number Sequence
Abstract
The generalized sequence of numbers is defined by Wn=pWn-1+qWn-2 with initial conditions W0=a and W1=b for a,b,p,q∈Z and n≥2, respectively. Let Wn=circ(W1,W2,...,Wn). The aim of this paper is to establish some useful formulas for the determinants and inverses of Wn using the nice properties of the number sequences. Matrix decompositions are derived for Wn in order to obtain the results.
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