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arXiv · 1708.09237

Bordering for spectrally arbitrary sign patterns

Dale Olesky·Pauline van den Driessche·Kevin N. Vander Meulen
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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.

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Dale Olesky, Pauline van den Driessche, Kevin N. Vander Meulen. 2017-08-30. Bordering for spectrally arbitrary sign patterns. https://doi.org/10.1016/j.laa.2017.08.006

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