On the minimal spectral radii of skew-reciprocal integer matrices
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911315812941824 |
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| author | Liechti, Livio |
| author_facet | Liechti, Livio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_17628 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the minimal spectral radii of skew-reciprocal integer matrices Liechti, Livio Geometric Topology Number Theory 15B48, 15B36, 11R06, 05C31, 57K20 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. |
| title | On the minimal spectral radii of skew-reciprocal integer matrices |
| topic | Geometric Topology Number Theory 15B48, 15B36, 11R06, 05C31, 57K20 |
| url | https://arxiv.org/abs/2306.17628 |