6533b83afe1ef96bd12a77c3
RESEARCH PRODUCT
An overview of semi-infinite programming theory and related topics through a generalization of the alternative theorems
J. PastorMarco A. LópezMiguel A. GobernaE. Verchersubject
TheoryofComputation_MISCELLANEOUSStatistics and ProbabilityConvex analysisDiscrete mathematicsGeneralizationLinear matrix inequalityRegular polygonDuality (optimization)Optimality theorySemi-infinite programmingAlgebraLinear inequalityTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESStatistics Probability and UncertaintyMathematicsdescription
We propose new alternative theorems for convex infinite systems which constitute the generalization of the corresponding toGale, Farkas, Gordan andMotzkin. By means of these powerful results we establish new approaches to the Theory of Infinite Linear Inequality Systems, Perfect Duality, Semi-infinite Games and Optimality Theory for non-differentiable convex Semi-Infinite Programming Problem.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1984-02-01 | Trabajos de Estadistica y de Investigacion Operativa |