Handelman's Positivstellensatz for polynomial matrices positive definite on polyhedra
arXiv:1603.07611
Abstract
In this paper we give a matrix version of Handelman's Positivstellensatz [1], representing polynomial matrices which are positive definite on convex, compact polyhedra. Moreover, we propose also a procedure to find such a representation. As a corollary of Handelman's theorem, we give a special case of Schmüdgen's Positivstellensatz for polynomial matrices positive definite on convex, compact polyhedra.
12 pages, minor revision, acknowledgement added, to be published in Positivity (2018)