Bordering for spectrally arbitrary sign patterns. (English) Zbl 1371.15032
Summary: 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 technique generalizes a recently developed triangle extension method. We describe recursive constructions of spectrally arbitrary patterns using our bordering technique, and show that a slight variation of this technique can be used to construct inertially arbitrary sign patterns.
Keywords:
nilpotent matrix; spectrally arbitrary pattern; nilpotent-Jacobian method; inertially arbitrary patternReferences:
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