On NCP-functions

Authors
Citation
Df. Sun et Lq. Qi, On NCP-functions, COMPUT OP A, 13(1-3), 1999, pp. 201-220
Citations number
36
Categorie Soggetti
Engineering Mathematics
Journal title
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
ISSN journal
09266003 → ACNP
Volume
13
Issue
1-3
Year of publication
1999
Pages
201 - 220
Database
ISI
SICI code
0926-6003(199904)13:1-3<201:ON>2.0.ZU;2-3
Abstract
In this paper we reformulate several NCP-functions for the nonlinear comple mentarity problem (NCP) from their merit function forms and study some impo rtant properties of these NCP-functions. We point out that some of these NC P-functions have all the nice properties investigated by Chen, Chen and Kan zow [2] for a modified Fischer-Burmeister function, while some other NCP-fu nctions may lose one or several of these properties. We also provide a modi fied normal map and a smoothing technique to overcome the limitation of the se NCP-functions. A numerical comparison for the behaviour of various NCP-f unctions is provided.