On the Pseudoconvexity of a Quadratic Fractional Function

Authors: Cambini A.¹; Crouzeix J-P.²; Martein L.¹

Source: Optimization, Volume 51, Number 4, 1 January 2002 , pp. 677-687(11)

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Abstract:

In this paper we give a necessary and sufficient condition for the pseudoconvexity of a function f which is the ratio of a quadratic function over an affine function. The obtained results allow to suggest a simple algorithm to test the pseudoconvexity of f and also to characterize the pseudoconvexity of the sum of a linear and a linear fractional function.

Keywords: Generalized convexity; Fractional programming

Document Type: Research article

Affiliations: 1: Department of Statistics and Applied Mathematics, University of Pisa, Via Cosmio Ridolfi 10, I-56124 Pisa, Italy 2: LIMOS, Université Blaise Pascal, Campus des Cézeaux, 63177 Aubière Cedex, France

Publication date: 2002-01-01