The joint spectral radius is pointwise H\"older continuous
We show that the joint spectral radius is pointwise H\"older continuous. In addition, the joint spectral radius is locally H\"older continuous for $\varepsilon$-inflations. In the two-dimensional case, local H\"older continuity holds on the matrix sets with positive joint spectral rad...
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| creator | Epperlein, Jeremias Wirth, Fabian |
| description | We show that the joint spectral radius is pointwise H\"older continuous. In
addition, the joint spectral radius is locally H\"older continuous for
$\varepsilon$-inflations. In the two-dimensional case, local H\"older
continuity holds on the matrix sets with positive joint spectral radius. |
| doi_str_mv | 10.48550/arxiv.2311.18633 |
| format | Article |
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$\varepsilon$-inflations. In the two-dimensional case, local H\"older
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addition, the joint spectral radius is locally H\"older continuous for
$\varepsilon$-inflations. In the two-dimensional case, local H\"older
continuity holds on the matrix sets with positive joint spectral radius.</abstract><doi>10.48550/arxiv.2311.18633</doi><oa>free_for_read</oa></addata></record> |
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| identifier | DOI: 10.48550/arxiv.2311.18633 |
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| language | eng |
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| subjects | Mathematics - Dynamical Systems Mathematics - Optimization and Control Mathematics - Spectral Theory |
| title | The joint spectral radius is pointwise H\"older continuous |
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