The joint spectral radius is pointwise Hölder continuous
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910843449376768 |
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| author | Epperlein, Jeremias Wirth, Fabian |
| author_facet | Epperlein, Jeremias Wirth, Fabian |
| contents | We show that the joint spectral radius is pointwise Hölder continuous. In addition, the joint spectral radius is locally Hölder continuous for $\varepsilon$-inflations. In the two-dimensional case, local Hölder continuity holds on the matrix sets with positive joint spectral radius. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_18633 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The joint spectral radius is pointwise Hölder continuous Epperlein, Jeremias Wirth, Fabian Dynamical Systems Optimization and Control Spectral Theory 15A18, 47A30, 47A55, 26B35 We show that the joint spectral radius is pointwise Hölder continuous. In addition, the joint spectral radius is locally Hölder continuous for $\varepsilon$-inflations. In the two-dimensional case, local Hölder continuity holds on the matrix sets with positive joint spectral radius. |
| title | The joint spectral radius is pointwise Hölder continuous |
| topic | Dynamical Systems Optimization and Control Spectral Theory 15A18, 47A30, 47A55, 26B35 |
| url | https://arxiv.org/abs/2311.18633 |