6 citations · 8 across the 8 of their papers we have counts for
5 papers · 1 filter
Bounds on polynomial roots using intercyclic companion matrices
Kevin N. Vander Meulen, Trevor Vanderwoerd
The Frobenius companion matrix, and more recently the Fiedler companion matrices, have been used to provide lower and upper bounds on the modulus of any root of a polynomial …
Bordering for spectrally arbitrary sign patterns
Dale Olesky, Pauline van den Driessche, Kevin N. Vander Meulen
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…
Potentially Nilpotent Patterns and the Nilpotent-Jacobian Method
Hannah Bergsma, Kevin N. Vander Meulen, Adam Van Tuyl
A nonzero pattern is a matrix with entries in {0,*}. A pattern is potentially nilpotent if there is some nilpotent real matrix with nonzero entries in precisely the entries indicat…
Zero-nonzero patterns for nilpotent matrices over finite fields
Kevin N. Vander Meulen, Adam Van Tuyl
Fix a field F. A zero-nonzero pattern A is said to be potentially nilpotent over F if there exists a matrix with entries in F with zero-nonzero pattern A that allows nilpotence. In…
On Determining Minimal Spectrally Arbitrary Patterns
Michael S. Cavers, In-Jae Kim, Bryan L. Shader +1
In this paper we present a new family of minimal spectrally arbitrary patterns which allow for arbitrary spectrum by using the Nilpotent-Jacobian method. The novel approach here is…