On the Determinants and Inverses of Circulant Matrices with a General Number Sequence

Details On the Determinants and Inverses of Circulant Matrices with a General Number Sequence On the Determinants and Inverses of Circulant Matrices with a General Number Sequence

2012-02-06

arxiv.org/abs/1202.1068v1

Mathematics

Numerical Analysis

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On the Determinants and Inverses of Circulant Matrices with a General Number Sequence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Determinants and Inverses of Circulant Matrices with a General Number Sequence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Determinants and Inverses of Circulant Matrices with a General Number Sequence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-118007