On the Joint Spectral Radius

Emmanuel Breuillard ()
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Emmanuel Breuillard: University of Cambridge, DPMMS

A chapter in Analysis at Large, 2022, pp 1-16 from Springer

Abstract: Abstract For a bounded subset S of d × d complex matrices, the Berger-Wang theorem and Bochi’s inequality allow to approximate the joint spectral radius of S from below by the spectral radius of a short product of elements from S. Our goal is twofold: we review these results, providing self-contained proofs, and we derive an improved version with explicit bounds that are polynomial in d. We also discuss other complete valued fields.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-05331-3_1

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DOI: 10.1007/978-3-031-05331-3_1

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