TY - JOUR
T1 - Strong semismoothness of fischer-burmeister complementarity function associated with symmetric cones
AU - Chang, Yu-Lin
AU - Chen, Jein-Shan
AU - Pan, Shaohua
PY - 2012/10/1
Y1 - 2012/10/1
N2 - We provide an affirmative answer to an question that the Fischer-Burmeister complementarity function associated with symmetric cones, named the FB SC complementarity function, is globally Lipschitz continuous and strongly semismooth everywhere for ℍn and ℚn. This is achieved with the help of em-bedding ℍn and ℚn into certain s{double-struck}m.
AB - We provide an affirmative answer to an question that the Fischer-Burmeister complementarity function associated with symmetric cones, named the FB SC complementarity function, is globally Lipschitz continuous and strongly semismooth everywhere for ℍn and ℚn. This is achieved with the help of em-bedding ℍn and ℚn into certain s{double-struck}m.
KW - Fischer-Burmeister function
KW - Strong semismoothness
KW - Symmetric cones
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M3 - Article
AN - SCOPUS:84894247002
VL - 13
SP - 799
EP - 806
JO - Journal of Nonlinear and Convex Analysis
JF - Journal of Nonlinear and Convex Analysis
SN - 1345-4773
IS - 4
ER -