Inequalities for numerical invariants of sets of matrices

Details Inequalities for numerical invariants of sets of matrices Inequalities for numerical invariants of sets of matrices

2002-06-12

arxiv.org/abs/math/0206128v2

Linear Algebra and its Applications, 368 (2003), 71-81.

Mathematics

Rings and Algebras

10 pages. Results and presentation slightly improved

Scientific paper

10.1016/S0024-3795(02)00658-4

We prove three inequalities relating some invariants of sets of matrices,
such as the joint spectral radius. One of the inequalities, in which proof we
use geometric invariant theory, has the generalized spectral radius theorem of
Berger and Wang as an immediate corollary.

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