Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773163 | Linear Algebra and its Applications | 2017 | 15 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
D.D. Olesky, P. van den Driessche, K.N. Vander Meulen,