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New smooth C-functions for symmetric cone complementarity problems
Authors:Lingchen Kong  Naihua Xiu
Institution:(1) Department of Applied Mathematics, Beijing Jiaotong University, Beijing, 100044, Peoples’ Republic of China
Abstract:In this paper, with the help of the Jordan-algebraic technique we introduce two new complementarity functions (C-functions) for symmetric cone complementary problems, and show that they are continuously differentiable and strongly semismooth everywhere. The work was partly supported by the National Natural Science Foundation of China (10671010, 70471002).
Keywords:Symmetric cone complementary problem  Jordan algebra  C-function  Differentiability  Strong semismoothness
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