On nonnegative integer matrices and short killing words

Let n be a natural number, and let \scrM be a set of n\times n-matrices over the nonnegative integers such that the joint spectral radius of \scrM is at most one. We show that if the zero matrix 0 is a product of matrices in \scrM , then there are M1, . . . , Mn5 \in \scrM with M1 \cdot \cdot \cdot...

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Bibliographic Details
Main Authors: Kiefer, S, Mascle, C
Format: Journal article
Language:English
Published: Society for Industrial and Applied Mathematics 2021