TY - JOUR
T1 - A New Generalized FB Complementarity Function for Symmetric Cone Complementarity Problems
AU - Zhang , Yunsheng
AU - Gao , Leifu
JO - Communications in Mathematical Research 
VL - 1
SP - 39
EP - 46
PY - 2021
DA - 2021/03
SN - 32
DO - http://doi.org/10.13447/j.1674-5647.2016.01.02
UR - https://global-sci.org/intro/article_detail/cmr/18661.html
KW - complementarity problem, complementarity function, symmetric cone,
generalized Fischer-Burmeister function.
AB - <p style="text-align: justify;">We establish that the generalized Fischer-Burmeister (FB) function and
penalized Generalized Fischer-Burmeister (FB) function defined on symmetric cones
are complementarity functions (C-functions), in terms of Euclidean Jordan algebras,
and the Generalized Fischer-Burmeister complementarity function for the symmetric
cone complementarity problem (SCCP). It provides an affirmative answer to the open
question by Kum and Lim (Kum S H, Lim Y. Penalized complementarity functions
on symmetric cones. $J$. $Glob$. $Optim$.. 2010, 46: 475–485) for any positive integer.</p>