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On the pseudoconvexity and pseudolinearity of some classes of fractional functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2007 Italy Publisher:Informa UK LimitedJournal:Optimization, volume 56, pages 385-398 (issn: 0233-1934, eissn: 1029-4945,

Authors: CAROSI, LAURA; MARTEIN, LAURA;

doi: 10.1080/02331930600819654

handle: 11568/180719

On the pseudoconvexity and pseudolinearity of some classes of fractional functions

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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.

Country

Italy

Related Organizations

Università degli studi di Salerno
Italy
University of Pisa
Italy

Keywords

Pseudoconvexity, Pseudolinearity, Fractional programming

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