On factorizations of smooth nonnegative matrix-values functions and on smooth functions with values in polyhedra
arXiv:0706.0192
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.
19 pages