Algorithms for generalized fractional programming

JP Crouzeix, JA Ferland - Mathematical Programming, 1991 - Springer
A generalized fractional programming problem is specified as a nonlinear program where a
nonlinear function defined as the maximum over several ratios of functions is to be …

Fractional programming

S Schaible - Handbook of global optimization, 1995 - Springer
An introduction to ratio optimization problems is provided which covers various applications
as well as major theoretical and algorithmic developments. In addition to an extensive …

A new algorithm for generalized fractional programs

AI Barros, JBG Frenk, S Schaible, S Zhang - Mathematical Programming, 1996 - Springer
A new dual problem for convex generalized fractional programs with no duality gap is
presented and it is shown how this dual problem can be efficiently solved using a parametric …

Using duality to solve generalized fractional programming problems

AI Barros, JBG Frenk, S Schaible, S Zhang - Journal of Global Optimization, 1996 - Springer
In this paper we explore the relations between the standard dual problem of a convex
generalized fractional programming problem and the “partial” dual problem proposed by …

A fourth bibliography of fractional programming

IM Stancu-Minasian - Optimization, 1992 - Taylor & Francis
This bibliography of fractional programming is a continuation of three previous
bibliographies by the author (Pure Appl. Math. Sci.(India), Vol. XIII, No. 1-2, 35-69, March …

An interval-type algorithm for generalized fractional programming

Y Benadada, JP Crouzeix, JA Ferland - … ” Held at the University of Pisa …, 1990 - Springer
The purpose of this paper is to introduce and analyze the convergence of a new interval-
type algorithm for generalized fractional programming; This new algorithm has the …

Rate of convergence of a generalization of Newton's method

Y Benadada, JP Crouzeix, JA Ferland - Journal of optimization theory and …, 1993 - Springer
The Newton's method for finding the root of the equation Θ (t)= 0 can be easily generalized
to the case where Θ is monotone, convex, but not differentiable. Then, the convergence is …

[PDF][PDF] TAUX DE CONVERGENCE D'UNE GENERALISATION DE LA METHODE DE NEWTON: PREMIERE PARTIE

Y BENADADA - Une - dyna.maths.free.fr
Motivation: La méthode de Newton pour trouver le zéro de l'équation g (x)= 0 peut être
facilement généralisée au cas où g est monotone, convexe, mais pas forcément …