Some results on random circulant matrices
Probability
2011-02-01 v1
Abstract
This paper considers random (non-Hermitian) circulant matrices, and proves several results analogous to recent theorems on non-Hermitian random matrices with independent entries. In particular, the limiting spectral distribution of a random circulant matrix is shown to be complex normal, and bounds are given for the probability that a circulant sign matrix is singular.
Cite
@article{arxiv.0902.2472,
title = {Some results on random circulant matrices},
author = {Mark W. Meckes},
journal= {arXiv preprint arXiv:0902.2472},
year = {2011}
}