Abstract
In the paper, the affinity of quadratic fractional functions and the gradient of pseudolinear quadratic fractional functions are characterized.
Similar content being viewed by others
References
Bianchi M, Schaible S (2000) An extension of pseudolinear functions and variational inequality problems. J Optim Theory Appl 104: 59–71
Bianchi M, Hadjisavvas N, Schaible S (2003) On pseudomonotone maps T for which -T is also pseudomonotone. J Convex Anal 10: 149–168
Cambini R, Carosi L (2004) On generalized linearity of quadratic fractional functions. J Global Optim 30: 235–251
Chew KL, Choo EU (1984) Pseudolinearity and efficiency. Math Program 28: 226–239
Komlósi S (1993) First and second-order characterizations of pseudolinear functions. Eur J Oper Res 67: 278–286
Kortanek KO, Evans JP (1967) Pseudo-concave programming and Lagrange regularity. Oper Res 15: 882–892
Rapcsák T (1991) On pseudolinear functions. Eur J Oper Res 50: 353–360
Rapcsák T (2007) On the pseudolinearity of quadratic fractional functions. Optim Lett 1: 193–200
Ujvári M (2008) Simplex-type algorithm for optimizing a pseudolinear quadratic fractional function over a polytope, PU.M.A. (in print)
Author information
Authors and Affiliations
Corresponding author
Additional information
This research was supported in part by the Hungarian Scientific Research Fund, Grant No. OTKA-T043276 and OTKA-K60480.
Rights and permissions
About this article
Cite this article
Rapcsák, T., Ujvári, M. Some results on pseudolinear quadratic fractional functions. Cent Eur J Oper Res 16, 415–424 (2008). https://doi.org/10.1007/s10100-008-0069-8
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10100-008-0069-8