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New smooth C-functions for symmetric cone complementarity problems

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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.

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Authors and Affiliations

  1. Department of Applied Mathematics, Beijing Jiaotong University, Beijing, 100044, Peoples’ Republic of China

    Lingchen Kong & Naihua Xiu

Authors
  1. Lingchen Kong
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  2. Naihua Xiu
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Correspondence to Lingchen Kong.

Additional information

The work was partly supported by the National Natural Science Foundation of China (10671010, 70471002).

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Kong, L., Xiu, N. New smooth C-functions for symmetric cone complementarity problems. Optimization Letters 1, 391–400 (2007). https://doi.org/10.1007/s11590-006-0037-y

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  • DOI: https://doi.org/10.1007/s11590-006-0037-y

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