43. New results on copositive optimization obtained via linear semi-infinite optimization theory
Invited abstract in session FC-3: In memory of Georg Still - part 4, stream In memory of Georg Still.
Friday, 11:25 - 12:40Room: M:J
Authors (first author is the speaker)
| 1. | Miguel Goberna
|
| Departamento de Matemáticas, Universidad de Alicante | |
| 2. | Andrea Ridolfi
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| Universidad Nacional de Cuyo | |
| 3. | Virginia N. Vera de Serio
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| Facultad de Cs. Económicas - Instituto de Cs. Básicas, Universidad Nacional de Cuyo |
Abstract
In this talk we present existence theorems, results on the geometry of the feasible set, duality theorems, and optimality conditions for copositive optimization problems. Following the same approach used by Mirjam Dür and Georg Still in their pioneering papers "Copositive programming via semi-infinite optimization" [J. Optim. Theory Appl. 159 (2013) 322-340, with Faizan Ahmed] and "Genericity results in linear conic programming - A tour d'horizon" [Math. Oper. Res. 42 (2016) 77-94, with Bolor Jargalsaikhan], our new results have been derived from classical and updated ones of linear semi-infinite optimization theory.
Keywords
- Conic and semidefinite optimization
- Semi-infinite optimization
Status: accepted
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