TY - JOUR
T1 - Symmetrization of generalized natural residual function for NCP
AU - Chang, Yu Lin
AU - Chen, Jein Shan
AU - Yang, Ching Yu
N1 - Funding Information:
This work is supported by Ministry of Science and Technology, Taiwan . The second author is a member of Mathematics Division, National Center for Theoretical Sciences.
Publisher Copyright:
© 2015 Elsevier B.V. All rights reserved.
PY - 2015/7/1
Y1 - 2015/7/1
N2 - In contrast to the generalized Fischer-Burmeister function that is a natural extension of the popular Fischer-Burmeister function NCP-function, the generalized natural residual NCP-function based on discrete extension, recently proposed by Chen, Ko, and Wu, does not possess symmetric graph. In this paper we symmetrize the generalized natural residual NCP-function, and construct not only new NCP-functions and merit functions for the nonlinear complementarity problem, but also provide parallel functions to the generalized Fischer-Burmeister function.
AB - In contrast to the generalized Fischer-Burmeister function that is a natural extension of the popular Fischer-Burmeister function NCP-function, the generalized natural residual NCP-function based on discrete extension, recently proposed by Chen, Ko, and Wu, does not possess symmetric graph. In this paper we symmetrize the generalized natural residual NCP-function, and construct not only new NCP-functions and merit functions for the nonlinear complementarity problem, but also provide parallel functions to the generalized Fischer-Burmeister function.
KW - Complementarity
KW - Natural residual
KW - NCP
KW - Symmetric
UR - http://www.scopus.com/inward/record.url?scp=84929157653&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84929157653&partnerID=8YFLogxK
U2 - 10.1016/j.orl.2015.04.007
DO - 10.1016/j.orl.2015.04.007
M3 - Article
AN - SCOPUS:84929157653
SN - 0167-6377
VL - 43
SP - 354
EP - 358
JO - Operations Research Letters
JF - Operations Research Letters
IS - 4
ER -