On factorizations of smooth nonnegative matrix-values functions and on smooth functions with values in polyhedra

N. V. Krylov

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arXiv · 0706.0192

On factorizations of smooth nonnegative matrix-values functions and on smooth functions with values in polyhedra

N. V. Krylov

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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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N. V. Krylov. 2007-06-01. On factorizations of smooth nonnegative matrix-values functions and on smooth functions with values in polyhedra. https://arxiv.org/abs/0706.0192

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