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Basic Properties of the Projective Product with Application to Products of Column-Allowable Nonnegative Matrices

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Abstract.

We use basic properties of the projective product to obtain exponential bounds for the Lipschitz constant associated with the projective product of column-allowable nonnegative matrices. We obtain similar bounds for the associated linear tangent maps.

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Authors and Affiliations

  1. IRISA/INRIA, Campus de Beaulieu, 35042 Rennes Cédex, France. {legland,lmevel}@irisa.fr., , , , , , FR

    Francçois Le Gland & Laurent Mevel

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  1. Francçois Le Gland
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  2. Laurent Mevel
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Date received: May 14, 1998. Date revised: November 18, 1999.

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Le Gland, F., Mevel, L. Basic Properties of the Projective Product with Application to Products of Column-Allowable Nonnegative Matrices. Math. Control Signals Systems 13, 41–62 (2000). https://doi.org/10.1007/PL00009860

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  • DOI: https://doi.org/10.1007/PL00009860

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