On the Pseudoconvexity of a Quadratic Fractional Function

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 pseudoconvexit...

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Bibliographic Details
Published in:Optimization 2002-08, Vol.51 (4), p.677-687
Main Authors: Cambini, Alberto, Crouzeix, Jean-Pierre, Martein, Laura
Format: Article
Language:English
Subjects:
Computer Science
Fractional Programming
Generalized Convexity
Operations Research
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Summary: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.
ISSN:0233-1934
1029-4945
DOI:10.1080/0233193021000030779