$The joint spectral radius is pointwise H\"older continuous$

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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Hauptverfasser:	Epperlein, Jeremias, Wirth, Fabian
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Dynamical Systems Mathematics - Optimization and Control Mathematics - Spectral Theory
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Zusammenfassung:	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:	10.48550/arxiv.2311.18633