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Daily Overview |
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RAG1: Real Algebraic Geometry Location: M627 Session Chair: Daniel Plaumann Session Chair: Claus Scheiderer | |
| Presentation 2 | |
Nonnegativity of polynomials with Newton simplex over A-convex sets 1: Goethe-Universität Frankfurt, Germany; 2: Brandenburgische Technische Universität Cottbus-Senftenberg; 3: Technische Universität Braunschweig In this talk we study a class of polynomials whose positive support is the set of vertices of a simplex and which may have several negative support points in the simplex. Various groups of authors have provided an exact characterization for the global nonnegativity of a polynomial in this class in terms of circuit polynomials and that characterization provides a tractable nonnegativity test. We generalize this characterization to the constrained nonnegativity over a set $X$ under an additional convexity precondition in the moment space using methods from duality theory and convex analysis. This provides a tractable nonnegativity test over $X$ for the class in terms of a power cone program. | |



