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arXiv · 1603.07611

Handelman's Positivstellensatz for polynomial matrices positive definite on polyhedra

Công-Trình Lê·Thi-Hoa-Binh Du
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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.

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Công-Trình Lê, Thi-Hoa-Binh Du. 2017-08-09. Handelman's Positivstellensatz for polynomial matrices positive definite on polyhedra. https://arxiv.org/abs/1603.07611

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