Abstract
A new family of minimal spectrally arbitrary patterns is presented which allow forarbitrary 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 findingan explicit nilpotent realization of the new minimal spectrally arbitrary patterns.
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