Name
Abstract | ||
|---|---|---|
In this work, we study the class of problems called semi-continuous optimization, which contains constrained minimization (maximization) problems with lower (upper) semi-continuous objective functions. We show some existence conditions for solutions based on asymptotic techniques, as well as a duality scheme based on the Fenchel---Moreau conjugation specifically applied to semi-continuous problems. Promising results are obtained, when we apply this scheme to minimize quadratic functions (whose Hessians can be symmetric indefinite) over nonempty, closed and convex polyhedral sets. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s10898-015-0306-3 | Journal of Global Optimization |
Keywords | Field | DocType |
Existence conditions,Duality scheme,Semi-continuous optimization,Fenchel–Moreau conjugation,90C20,90C26,90C46 | Perturbation function,Mathematical optimization,Duality gap,Weak duality,Mathematical analysis,Fenchel's duality theorem,Duality (optimization),Quadratic function,Strong duality,Quadratic programming,Mathematics | Journal |
Volume | Issue | ISSN |
63 | 2 | 0925-5001 |
Citations | PageRank | References |
1 | 0.56 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| John Edwin Cotrina | 1 | 12 | 3.83 |
| Fernanda M. P. Raupp | 2 | 29 | 5.35 |
| Wilfredo Sosa | 3 | 43 | 6.22 |