Bordering for spectrally arbitrary sign patterns

Autor: Olesky, Dale, Driessche, Pauline van den, Meulen, Kevin N. Vander
Rok vydání: 2017
Předmět:
Zdroj: Linear Algebra and Its Applications 534 (2017) 36-50
Druh dokumentu: Working Paper
DOI: 10.1016/j.laa.2017.08.006
Popis: 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.
Databáze: arXiv