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    A power penalty method for a bounded nonlinear complementarity problem

    228624_228624.pdf (586.3Kb)
    Access Status
    Open access
    Authors
    Wang, Song
    Yang, X.
    Date
    2015
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Wang, S. and Yang, X. 2015. A power penalty method for a bounded nonlinear complementarity problem. Optimization. 64 (11): pp. 2377-2394.
    Source Title
    Optimization
    DOI
    10.1080/02331934.2014.967236
    ISSN
    0233-1934
    School
    Department of Mathematics and Statistics
    Remarks

    The Version of Record of this manuscript has been published and is available in Optimization (2015), http://www.tandfonline.com/10.1080/02331934.2014.967236

    URI
    http://hdl.handle.net/20.500.11937/22762
    Collection
    • Curtin Research Publications
    Abstract

    We propose a novel power penalty approach to the bounded nonlinear complementarity problem (NCP) in which a reformulated NCP is approximated by a nonlinear equation containing a power penalty term. We show that the solution to the nonlinear equation converges to that of the bounded NCP at an exponential rate when the function is continuous and ξ-monotone. A higher convergence rate is also obtained when the function becomes Lipschitz continuous and strongly monotone. Numerical results on discretized ‘double obstacle’ problems are presented to confirm the theoretical results.

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