On Determining Minimal Spectrally Arbitrary Patterns

Details On Determining Minimal Spectrally Arbitrary Patterns On Determining Minimal Spectrally Arbitrary Patterns

2005-08-11

arxiv.org/abs/math/0508207v1

Mathematics

Rings and Algebras

8 pages

Scientific paper

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 that we use the Intermediate Value Theorem
to avoid finding an explicit nilpotent realization of the new minimal
spectrally arbitrary patterns.

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