On the pseudoconvexity of a quadratic fractional function

Optimization

Volumn 51, Issue 4, 2002, Pages 677-687

  Cambini, A ^a   Crouzeix, J P ^b   Martein, L ^a  

^a UNIVERSITY OF PISA   (Italy)

^b UNIVERSITÉ BLAISE PASCAL   (France)

Author keywords

Fractional programming; Generalized convexity

Indexed keywords

EID: 0036700632     PISSN: 02331934     EISSN: None     Source Type: Journal    
DOI: 10.1080/0233193021000030779     Document Type: Article

References (11)

1. M. Avriel, W.E. Diewert, S. Schaible and I. Zang (1988). Generalized Concavity. Plenum Press.
2. A.I. Barros (1998). Discrete and Fractional Programming Techniques for Location Models. Kluwer Academic Publisher.
3. A. Cambini, L. Martein and S. Schaible (1989). On maximizing a sum of ratios. Journal of Information and Optimization Sciences, 10, 65-79.
4. A. Cambini, L. Carosi and L. Martein (2000). On the supremum in fractional programming Technical Report N. 153. Dept. Statistics and Applied Mathematics, University of Pisa.
5. R.W. Cottle (1974). Manifestations of the Shur complement. Linear Algebra and its Applications, 8, 189-211.
6. J.P. Crouzeix (1998). Characterizations of generalized convexity and monotonicity, a survey. In: Crouzeix et al. (Eds.), Generalized Convexity, Generalized Monotonicity, pp. 237-256. Kluwer Academic Publisher.
7. J. Hirche (1984). On programming problems with a linear-plus-linear-fractional objective function. Cahiers du CERO, 26, 59-64.
8. P.K. Kanchan, A.S.B. Holland and B.N. Sahney (1981). Transportation techniques in linear-plus-fractional programming. Cahiers du CERO, 23, 153-157.
9. S. Schaible (1995). Fractional programming. In: R. Horst and P.M. Pardalos (Eds.), Handbook of Global Optimization, pp. 495-608. Kluwer Academic Publisher.
10. S. Schaible (1977). A Note on the sum of a linear and linear-fractional function. In: Naval Research Logistics Quarterly, 24(24), 691-693.
11. I.M. Stancu-Minasian (1980). Applications of the fractional programming. In: Economic Computation and Economic Cybernetics Studies and Research, 1, 69-86.