@article{7403d3799b314b6ea8e389abcb36dc9f,
title = "A new class of penalized NCP-functions and its properties",
abstract = "In this paper, we consider a class of penalized NCP-functions, which includes several existing well-known NCP-functions as special cases. The merit function induced by this class of NCP-functions is shown to have bounded level sets and provide error bounds under mild conditions. A derivative free algorithm is also proposed, its global convergence is proved and numerical performance compared with those based on some existing NCP-functions is reported.",
keywords = "Bounded level sets, Error bounds, NCP-function, Penalized",
author = "Chen, {J. S.} and Huang, {Z. H.} and She, {C. Y.}",
note = "Funding Information: J.-S. Chen member of Mathematics Division, National Center for Theoretical Sciences, Taipei Office. The author{\textquoteright}s work is partially supported by National Science Council of Taiwan. Z.-H. Huang{\textquoteright}s work is partly supported by the National Natural Science Foundation of China (Grant No. 10871144).",
year = "2011",
month = sep,
doi = "10.1007/s10589-009-9315-9",
language = "English",
volume = "50",
pages = "49--73",
journal = "Computational Optimization and Applications",
issn = "0926-6003",
publisher = "Springer Netherlands",
number = "1",
}