On the pseudoconvexity and pseudolinearity of some classes of fractional functions

Authors: Carosi, L.¹; Martein, L.¹

Source: Optimization, Volume 56, Number 3, June 2007 , pp. 385-398(14)

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Abstract:

The aim of the article is to study the pseudoconvexity (pseudoconcavity) of the ratio between a quadratic function and the square of an affine function. Applying the Charnes-Cooper transformation of variables the function is transformed in a quadratic one defined on a suitable halfspace. The characterization of the pseudoconvexity of such a quadratic function allows to give necessary and sufficient conditions for the pseudoconvexity and the pseudolinearity of the ratio in terms of the initial data.

Keywords: Mathematics Subject Classifications 2000: 90C32; 26B25

Document Type: Research article

DOI: 10.1080/02331930600819654

Affiliations: 1: Department of Statistics and Applied Mathematics, University of Pisa, 56124 Pisa, Italy