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On Factorizations of Smooth Nonnegative Matrix-Values Functions and on Smooth Functions with Values in Polyhedra

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Abstract

We discuss the possibility to represent smooth nonnegative matrix-valued functions as finite linear combinations of fixed matrices with positive real-valued coefficients whose square roots are Lipschitz continuous. This issue is reduced to a similar problem for smooth functions with values in a polyhedron.

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Authors and Affiliations

  1. University of Minnesota, 127 Vincent Hall, Minneapolis, MN, 55455, USA

    N. V. Krylov

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  1. N. V. Krylov
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Correspondence to N. V. Krylov.

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The work was partially supported by NSF Grant DMS-0653121.

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Krylov, N.V. On Factorizations of Smooth Nonnegative Matrix-Values Functions and on Smooth Functions with Values in Polyhedra. Appl Math Optim 58, 373–392 (2008). https://doi.org/10.1007/s00245-008-9040-2

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  • DOI: https://doi.org/10.1007/s00245-008-9040-2

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