With M. Cavers and J. Fischer. In Electric Journal of Linear Algebra 30 (2020): pp. 183-197

In this paper, an infinite family of irreducible sign patterns that are spectrally arbitrary, for which the nilpotent-Jacobian method does not apply, is given. It is demonstrated that it is possible for an irreducible sign pattern to be refined inertially arbitrary and not spectrally arbitrary. It is observed that not every nonzero spectrally arbitrary pattern has a signing which is spectrally arbitrary. It is also shown that every superpattern of the reducible pattern \T2⊕\T2\T2⊕\T2 is spectrally arbitrary.


Publication Information

Author(s):

Dr. Kevin Vander Meulen

Publisher or Title:

Electronic Journal of Linear Algebra

Publication date:

2020

Departments:

Mathematics