@article{EpperleinWirth2024, author = {Epperlein, Jeremias and Wirth, Fabian}, title = {The joint spectral radius is pointwise H{\"o}lder continuous}, series = {Linear Algebra and its Applications}, volume = {2025}, journal = {Linear Algebra and its Applications}, number = {704}, publisher = {Elsevier}, address = {Amsterdam}, issn = {1873-1856}, doi = {10.1016/j.laa.2024.09.016}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:739-opus4-19140}, pages = {92 -- 122}, year = {2024}, abstract = {We show that the joint spectral radius is pointwise H{\"o}lder continuous. In addition, the joint spectral radius is locally H{\"o}lder continuous for ε-inflations. In the two-dimensional case, local H{\"o}lder continuity holds on the matrix sets with positive joint spectral radius.}, language = {en} }