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A new C-function for symmetric cone complementarity problems

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Abstract

Recently, there has been much interest in studying optimization problems over symmetric cones and second-order cone. This paper uses Euclidean Jordan algebras as a basic tool to introduce a new C-function to symmetric cone complementarity problems. Then we show that the function is coercive, strongly semismooth and its Jacobian is also strongly semismooth.

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Authors and Affiliations

  1. Department of Mathematics and Computing Science, Xidian University, 710071, Xi’an, People’s Republic of China

    Jia Tang & Sanyang Liu

  2. College of Mathematics and Computer Science, Fujian Normal University, 350007, Fuzhou, People’s Republic of China

    Changfeng Ma

Authors
  1. Jia Tang
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  2. Sanyang Liu
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  3. Changfeng Ma
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Corresponding author

Correspondence to Jia Tang.

Additional information

The project is supported by the NSF of China (No. 60974082), the Fundamental Research Funds for the Central Universities JY10000970009 and Fujian Natural Science Foundation (No. 2009J01002).

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Tang, J., Liu, S. & Ma, C. A new C-function for symmetric cone complementarity problems. J Glob Optim 51, 105–113 (2011). https://doi.org/10.1007/s10898-010-9622-9

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  • DOI: https://doi.org/10.1007/s10898-010-9622-9

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