Abstract
The question of how to certify the non-negativity of a polynomial function lies at the heart of Real Algebra and has important applications to optimization. Building on work by Choi, Lam, and Reznick [4], as well as Harris [5], Timofte [9] provided a remarkable method to efficiently certify non-negativity of symmetric polynomials. In this note we slightly generalize Timofte's statements and investigate families of polynomials that allow special representations in terms of power-sum polynomials. We also recover the consequences of Timofte's original statements as a corollary. (C) 2015 Elsevier B.V. All rights reserved.
Original language | English |
---|---|
Pages (from-to) | 2809-2815 |
Number of pages | 7 |
Journal | JOURNAL OF PURE AND APPLIED ALGEBRA |
Volume | 220 |
Issue number | 8 |
DOIs | |
Publication status | Published - Aug 2016 |
MoE publication type | A1 Journal article-refereed |