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A second-order smooth penalty function algorithm for constrained optimization problems

Listed author(s):
  • Xinsheng Xu


  • Zhiqing Meng


  • Jianwu Sun


  • Liguo Huang


  • Rui Shen


Registered author(s):

    This paper introduces a second-order differentiability smoothing technique to the classical l 1 exact penalty function for constrained optimization problems(COP). Error estimations among the optimal objective values of the nonsmooth penalty problem, the smoothed penalty problem and the original optimization problem are obtained. Based on the smoothed problem, an algorithm for solving COP is proposed and some preliminary numerical results indicate that the algorithm is quite promising. Copyright Springer Science+Business Media, LLC 2013

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    Article provided by Springer in its journal Computational Optimization and Applications.

    Volume (Year): 55 (2013)
    Issue (Month): 1 (May)
    Pages: 155-172

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    Handle: RePEc:spr:coopap:v:55:y:2013:i:1:p:155-172
    DOI: 10.1007/s10589-012-9504-9
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    1. Lasserre, J. B., 1981. "A globally convergent algorithm for exact penalty functions," European Journal of Operational Research, Elsevier, vol. 7(4), pages 389-395, August.
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