联合光谱半径是点式荷尔德连续的

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2024-10-03 DOI:10.1016/j.laa.2024.09.016

Jeremias Epperlein, Fabian Wirth

引用次数: 0

摘要

我们证明了联合谱半径是点连续的荷尔德连续。此外，对于ε-膨胀，联合谱半径是局部荷尔德连续的。在二维情况下，具有正联合谱半径的矩阵集的局部荷尔德连续性成立。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.