Schaible, S. Parameter-free convex equivalent and dual programs of fractional programming problems. (English) Zbl 0291.90067 Z. Oper. Res., Ser. A 18, 187-196 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 39 Documents MSC: 90C30 Nonlinear programming 90C25 Convex programming 90C05 Linear programming × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Bector, C. R.: Duality in nonlinear fractional programming, Zeitschrift f. Oper. Res.17, 183–193, 1973. · Zbl 0267.90086 · doi:10.1007/BF01951417 [2] Charnes, A., andW. W. Cooper: Programming with Linear Fractional Functional, Naval Research Logistics Quarterly9, 181–196, 1962. · Zbl 0127.36901 · doi:10.1002/nav.3800090303 [3] Dinkelbach, W.: On Nonlinear Fractional Programming, Management Science13, 492–498, 1967. · Zbl 0152.18402 · doi:10.1287/mnsc.13.7.492 [4] Dorn, W. S.: Duality in Quadratic Programming, Quarterly of Applied Mathematics18, 155–162, 1960. · Zbl 0101.37003 [5] Geoffrion, A. M.: Strictly Concave Parametric Programming, Part I: Basic Theory, Management Science13. 244–253. 1967. Part II: Additional Theory and Computational Considerations. Management Science13, 359–370, 1967a. · Zbl 0143.42604 · doi:10.1287/mnsc.13.3.244 [6] –: Solving Bi-criterion Mathematical Programs, Oper. Res.15, 39–54, 1967b. · Zbl 0173.21602 · doi:10.1287/opre.15.1.39 [7] Jagannathan, R.: On Some Properties of Programming Problems in Parametric Form Pertaining to Fractional Programming, Management Science12, 609–615, 1966. · Zbl 0143.21602 · doi:10.1287/mnsc.12.7.609 [8] –: Duality for Nonlinear Fractional Programs, Zeitschrift für Operations Research17, 1–3, 1973. · Zbl 0249.90064 · doi:10.1007/BF01951364 [9] Manas, M.: On Transformations of Quasi-convex Programming Problems, Ekon. Matem. Obzor, Ceskoslovenska Akademie VED, 93–99, 1968. [10] Mangasarian, O. L.: Pseudo-convex Functions, J. SIAM Control, Ser. A3, 281–290, 1965. · Zbl 0138.15702 [11] -: Nonlinear Programming, New York 1969. [12] van de Panne, C.: Programming with a Quadratic Constraint, Management Science12, 798–815, 1966. · Zbl 0141.17504 · doi:10.1287/mnsc.12.11.798 [13] Schaible, S.: Transformationen nichtlinearer Quotientenprogramme in konvexe Programme, presented at the Annual Meeting of the German Society of Operations Research 1972, appears in ”Proceedings of Operations Research 351–361, 1973. [14] -: Maximization of Quasi-concave Quotients and Products of Finitely Many Functionals, to be published in Cahiers du Centre d’Etudes de Recherche Operationelle 1974. · Zbl 0291.90068 [15] Sharma, I. C., andK. Swarup: On Duality in Linear Fractional Functionals Programming, Zeitschrift für Operations Research17, 91–100, 1972. · Zbl 0243.90045 · doi:10.1007/BF01963620 [16] Wolfe, P.: A Duality Theorem for Nonlinear Programming, Quarterly of Applied Mathematics19, 239–244. 1961. · Zbl 0109.38406 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.