The $\mathcal{S}$-cone and a primal-dual view on second-order representability

Autor:	Naumann, Helen, Theobald, Thorsten
Rok vydání:	2020
Předmět:	Mathematics - Optimization and Control 14P05 90C30 (Primary) 52A20 12D15 (Secondary)
Druh dokumentu:	Working Paper
Popis:	The $\mathcal{S}$-cone provides a common framework for cones of polynomials or exponential sums which establish non-negativity upon the arithmetic-geometric inequality, in particular for sums of non-negative circuit polynomials (SONC) or sums of arithmetic-geometric exponentials (SAGE). In this paper, we study the $\mathcal{S}$-cone and its dual from the viewpoint of second-order representability. Extending results of Averkov and of Wang and Magron on the primal SONC cone, we provide explicit generalized second-order descriptions for rational $\mathcal{S}$-cones and theirs duals. Comment: Minor revision, 19 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.09495 Zobrazit plný text záznamu View this record from Arxiv