A note on the paper 'Fractional programming with convex quadratic forms and functions' by H.P. Benson

To link to full-text access for this article, visit this link: http://dx.doi.org/10.1016/j.ejor.2005.08.011 Byline: J.B.G. Frenk Abstract: In this technical note, we give a short proof based on some standard results in convex analysis of some important characterization results listed in Theorems 3 and 4 of Benson [Benson, H.P., 2006. Fractional programming with convex quadratic forms and functions. European Journal of Operational Research]. Actually our result is slightly more general since we do not specify the nonempty convex set X. For clarity we use the same notation for the different equivalent optimization problems as done in Benson (2006). Author Affiliation: Econometric Institute, Erasmus University, P.O. Box 1738, 3000DR Rotterdam, The Netherlands Article History: Received 11 February 2005; Accepted 3 August 2005