On the pseudoconvexity of a quadratic fractional function

被引:16
作者
Cambini, A
Crouzeix, JP
Martein, L
机构
[1] Univ Pisa, Dept Appl Math & Stat, I-56124 Pisa, Italy
[2] Univ Clermont Ferrand, LIMOS, F-63177 Clermont Ferrand, France
关键词
generalized convexity; fractional programming;
D O I
10.1080/0233193021000030779
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
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.
引用
收藏
页码:677 / 687
页数:11
相关论文
共 11 条
[11]  
STANCUMINASIAN IM, 1980, EC COMPUT EC CYBERN, V1, P69