The joint spectral radius is pointwise Hölder continuous
We show that the joint spectral radius is pointwise Hölder continuous. In addition, the joint spectral radius is locally Hölder continuous for ε -inflations. In the two-dimensional case, local Hölder continuity holds on the matrix sets with positive joint spectral radius.
Authors
- Jeremias Epperlein (ORCID: https://orcid.org/0000-0002-9261-5488)
- Fabian Wirth (ORCID: https://orcid.org/0000-0002-2123-3714)
Institutions
- University of Passau (DE)
Publication Details
- Journal
- Linear Algebra and its Applications
- Published
- 2024-10-03
- DOI
- https://doi.org/10.1016/j.laa.2024.09.016
- Citations
- 1
- Primary Topic
- Mathematical Analysis and Transform Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.97