Pseudo-duality in mathematical programs with quotients and products
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A new approach to duality in fractional programs is described. The techniques used are based on the theory of pseudoduality. The results are generalized to include mathematical programs with quotients and products of finitely many functionals. The duals of the linear and quadratic cases are explicitly calculated, demonstrating the power of pseudo-duality theory.
[1] Abraham Charnes,et al. Programming with linear fractional functionals , 1962 .
[2] Olvi L. Mangasarian,et al. Logarithmic convexity and geometric programming , 1968 .
[3] Siegfried Schaible,et al. Parameter-free convex equivalent and dual programs of fractional programming problems , 1974, Z. Oper. Research.
[4] Siegfried Schaible,et al. Duality in Fractional Programming: A Unified Approach , 1976, Oper. Res..