Crouzeix, Jean-Pierre A duality framework in quasiconvex programming. (English) Zbl 0538.90073 Generalized concavity in optimization and economics, Proc. NATO Adv. Study Inst., Vancouver/Can. 1980, 207-225 (1981). Summary: [For the entire collection see Zbl 0534.00022.] This paper constructs a general framework of duality which is then applied to a quasiconvex mathematical program with inequality constraints and to a generalized fractional program. Finally, the linear von Neumann model of an expanding economy is studied through this general duality framework. Cited in 1 ReviewCited in 3 Documents MSC: 90C25 Convex programming 91B62 Economic growth models 49N15 Duality theory (optimization) 90C32 Fractional programming 90C55 Methods of successive quadratic programming type Keywords:quasiconvex mathematical program; inequality constraints; linear von Neumann model; expanding economy Citations:Zbl 0534.00022 PDFBibTeX XML