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    A smoothing approach for the optimal parameter selection problem with continuous inequality constraint

    Access Status
    Fulltext not available
    Authors
    Feng, Z.
    Yiu, K.
    Teo, Kok Lay
    Date
    2013
    Type
    Journal Article
    
    Metadata
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    Citation
    Feng, Z.G. and Yiu, K.F. and Teo, K.L. 2013. A smoothing approach for the optimal parameter selection problem with continuous inequality constraint. Optimization Methods and Software. 28 (4): pp. 689-705.
    Source Title
    Optimization Methods and Software
    DOI
    10.1080/10556788.2013.775282
    ISSN
    10556788
    URI
    http://hdl.handle.net/20.500.11937/4017
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we consider a class of optimal parameter selection problems with continuous inequality constraints. By introducing a smoothing parameter, we formulate a sequence of KKT (Karush-Kuhn-Tucker) systems of this problem and then transform it into a system of constrained nonlinear equations. Then, the first- and second-order gradients formulae of the cost functional and the constraints are derived. On this basis, a smoothing projected Newton-type algorithm is developed to solving this system of nonlinear equations. To illustrate the effectiveness of the proposed method, some numerical results are solved and presented.

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