Journal ArticleDOI
A Dual Fractional Program
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This article is published in Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik.The article was published on 1971-01-01. It has received 13 citations till now. The article focuses on the topics: Fractional programming.read more
Citations
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Fractional Programming. I, Duality
TL;DR: In this paper, a duality theory for linear and concave-convex fractional programs is developed and related to recent results by Bector, Craven-Mond, Jagannathan, Sharma-Swarup, et al.
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Bibliography in fractional programming
TL;DR: A bibliography in fractional programming is provided which contains 551 references and was attempted to include all publications in this area of nonlinear programming as they have appeared in more than 45 years now.
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Linear fractional programming and duality
S. S. Chadha,Veena Chadha +1 more
TL;DR: Dual is shown to be a linear programming problem and complementary slackness theorem is proved, which is a dual of a general linear fractional functionals programming problem.
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A Duality Theorem for a Nondifferentiable Fractional Programming Problem
Suresh Chandra,T. R. Gulati +1 more
TL;DR: A fractional analogue of Sinha's problem is considered and duality theory is developed for it in this paper, where a duality theorem for nonlinear programming is developed and a quadratic equivalent of the minimum risk problem is defined.
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Duality Theorems for Non-Linear Fractional Programs
S. P. Aggarwal,P. C. Saxena +1 more
References
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Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability
Lucien Le Cam,Neyman Jerzy +1 more
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Programming with linear fractional functionals
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A duality theorem for non-linear programming
TL;DR: In this paper, a dual problem for the mathematical programming problem of minimizing a convex function under convex constraints was formulated, which reduces to the classical dual problem in the case of linear programming problems.
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On Some Properties of Programming Problems in Parametric form Pertaining to Fractional Programming
TL;DR: This paper presents results which apply to convex programming problem in parametric form and is extended to general non-linear programming problems with special reference to continuous criterion functions.