On the minimal spectral radii of skew-reciprocal integer matrices

Livio Liechti

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arXiv · 2306.17628

On the minimal spectral radii of skew-reciprocal integer matrices

Livio Liechti

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Abstract

We determine the minimal spectral radii among all skew-reciprocal integer matrices of a fixed even dimension that are primitive or nonnegative and irreducible. In particular, except for dimension six, we show that each such class of matrices realises smaller spectral radii than the corresponding reciprocal class.

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Livio Liechti. 2023-06-30. On the minimal spectral radii of skew-reciprocal integer matrices. https://arxiv.org/abs/2306.17628

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