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Polynomial-Time Computation of the Joint Spectral Radius for Some Sets of Nonnegative Matrices

✍ Scribed by Blondel, Vincent D.; Nesterov, Yurii


Book ID
118211833
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
192 KB
Volume
31
Category
Article
ISSN
0895-4798

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The notion of spectral radius of a set of matrices is a natural extension of spectral radius of a single matrix. The finiteness conjecture (FC) claims that among the infinite products made from the elements of a given finite set of matrices, there is a certain periodic product, made from the repetit