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math.OC2020
The -cone and a primal-dual view on second-order representability
Helen Naumann, Thorsten Theobald
The -cone provides a common framework for cones of polynomials or exponential sums which establish non-negativity upon the arithmetic-geometric inequality, in particul…
math.OC2020
Global Optimization via the Dual SONC Cone and Linear Programming
Mareike Dressler, Janin Heuer, Helen Naumann +1
Using the dual cone of sums of nonnegative circuits (SONC), we provide a relaxation of the global optimization problem to minimize an exponential sum and, as a special case, a mult…
math.OC2018
The dual cone of sums of non-negative circuit polynomials
Mareike Dressler, Helen Naumann, Thorsten Theobald
For a non-empty, finite subset , denote by the cone of sums of non-negative ci…