ELA, Volume 13, pp. 240-248, October 2005, abstract.

On Determining Minimal Spectrally Arbitrary Patterns

Michael S. Cavers, In-Jae Kim, Bryan L. Shader, and
Kevin N. Vander Meulen


A new family of minimal spectrally arbitrary patterns 
is presented which allow for arbitrary spectrum by using 
the Nilpotent-Jacobian method introduced in [J.H. Drew, 
C.R. Johnson, D.D. Olesky, and P. van den Driessche. Spectrally
arbitrary patterns. Lin. Alg. and Appl. 308:121-137, 2000].
The novel approach here is the use of the Intermediate Value 
Theorem to avoid finding an explicit nilpotent realization of 
the new minimal spectrally arbitrary patterns.