On factorizations of smooth nonnegative matrix-values functions and on smooth functions with values in polyhedra
Optimization and Control
2007-06-04 v1 Analysis of PDEs
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.
Cite
@article{arxiv.0706.0192,
title = {On factorizations of smooth nonnegative matrix-values functions and on smooth functions with values in polyhedra},
author = {N. V. Krylov},
journal= {arXiv preprint arXiv:0706.0192},
year = {2007}
}