0000000000341534

AUTHOR

Miguel A. Goberna

0000-0002-5363-7991

showing 4 related works from this author

Farkas-Minkowski systems in semi-infinite programming

1981

The Farkas-Minkowski systems are characterized through a convex cone associated to the system, and some sufficient conditions are given that guarantee the mentioned property. The role of such systems in semi-infinite programming is studied in the linear case by means of the duality, and, in the nonlinear case, in connection with optimality conditions. In the last case the property appears as a constraint qualification.

Discrete mathematicsPure mathematicsNonlinear systemControl and OptimizationApplied MathematicsMinkowski spaceSecond-order cone programmingDuality (optimization)Constraint satisfactionSemi-infinite programmingMathematicsApplied Mathematics & Optimization
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Representacion finita de sistemas de infinitas inecuaciones

1982

Dado un problema de Programacion Semi-Infinita, si se puede obtener una representacion finita del conjunto factible, pueden aplicarse para resolver el problema los metodos de programacion con finitas restricciones.

Statistics and ProbabilityStatistics Probability and UncertaintyTrabajos de Estadistica y de Investigacion Operativa
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An overview of semi-infinite programming theory and related topics through a generalization of the alternative theorems

1984

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.

TheoryofComputation_MISCELLANEOUSStatistics and ProbabilityConvex analysisDiscrete mathematicsGeneralizationLinear matrix inequalityRegular polygonDuality (optimization)Optimality theorySemi-infinite programmingAlgebraLinear inequalityTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESStatistics Probability and UncertaintyMathematicsTrabajos de Estadistica y de Investigacion Operativa
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Reducción de programas semiinfinitos a programas finitos

2021

General MathematicsHumanitiesMathematicsPublicacions de la Secció de Matemàtiques
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