TY  - JOUR
A1  - Naumann, Helen
A1  - Theobald, Thorsten
T1  - The 𝒮-cone and a primal-dual view on second-order representability
T2  - Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
N2  - The 𝒮-cone provides a common framework for cones of polynomials or exponen- tial 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 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 S-cones and their duals.
KW  - Positive polynomials
KW  - Sums of non-negative circuit polynomials
KW  - Arithmetic-geometric exponentials
KW  - Dual cone
KW  - 𝒮-cone
KW  - Second-order cone
Y1  - 2020
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/72217
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-722173
SN  - 2191-0383
N1  - MSC-Klassifikation: 90C23 - The Geometry of Memoryless Stochastic Policy Optimization in Infinite-Horizon POMDPs
N1  - Open Access funding provided by Projekt DEAL. The work was partially supported through the project “Real Algebraic Geometry and Optimization” jointly funded by the German Academic Exchange Service DAAD and the Research Council of Norway RCN.
VL  - 62
IS  - 1
SP  - 229
EP  - 249
PB  - Springer
CY  - Berlin ; Heidelberg
ER  -