An explicit Lipschitz constant for the joint spectral radius

Details An explicit Lipschitz constant for the joint spectral radius An explicit Lipschitz constant for the joint spectral radius

2009-09-17

arxiv.org/abs/0909.3170v7

Linear Algebra and Applications, 2010, 433, No. 1, 12-18.

Mathematics

Rings and Algebras

9 pages, corrected typos and references

Scientific paper

10.1016/j.laa.2010.01.028

In 2002 F. Wirth has proved that the joint spectral radius of irreducible
compact sets of matrices is locally Lipschitz continuous as a function of the
matrix set. In the paper, an explicit formula for the related Lipschitz
constant is obtained.

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