Optimization · 1988 · 118 citations · 38 references
Natural SciencesMathematicsDesign OptimizationMulti-criteria Decision MakingOptimizationConvex AnalysisConvex OptimizationNonlinear ProgrammingOptimization TheoryConjugationDuality TheoryQuasiconvex Functions
Abstract We survey duality theories for quasiconvex optimization problems, based on notions of generalized conjugation. Some of them are obtained from Moreau's generalized conjugation, while the others are special cases of the so-called H-duality. The relationship existing between the two kinds of approaches is described. AMS 1980 Subject Classifications: Primary: 90 C 30Secondary: 26 B 25Keywords: Quasiconvex functionalsgeneralized conjugationdualityfunctional hullsgeneralized subdifferentialscoupling functionalsperturbationlower subdifferentiable functions
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Linear Algebra and Its Applications
E. I., Gilbert Strang · Mathematics of Computation · 1976 · 1.9K citations
Surrogate Mathematical Programming
Harvey J. Greenberg, William P. Pierskalla · Operations Research · 1970 · 207 citations
Fred Glover · Operations Research · 1968 · 163 citations