Bordering for spectrally arbitrary sign patterns
Rings and Algebras
2017-08-31 v1
Abstract
We develop a matrix bordering technique that can be applied to an irreducible spectrally arbitrary sign pattern to construct a higher order spectrally arbitrary sign pattern. This technique generalizes a recently developed triangle extension method. We describe recursive constructions of spectrally arbitrary patterns using our bordering technique, and show that a slight variation of this technique can be used to construct inertially arbitrary sign patterns.
Cite
@article{arxiv.1708.09237,
title = {Bordering for spectrally arbitrary sign patterns},
author = {Dale Olesky and Pauline van den Driessche and Kevin N. Vander Meulen},
journal= {arXiv preprint arXiv:1708.09237},
year = {2017}
}