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    A smoothing Newton-type method for solving the L2 spectral estimation problem with lower and upper bounds

    Access Status
    Fulltext not available
    Authors
    Ling, C.
    Yin, H.
    Zhou, Guanglu
    Date
    2011
    Type
    Journal Article
    
    Metadata
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    Citation
    Ling, Chen and Yin, Hongxia and Zhou, Guanglu. 2011. A smoothing Newton-type method for solving the L2 spectral estimation problem with lower and upper bounds. Computational Optimization and Applications. 50: pp. 351-378.
    Source Title
    Computational Optimization and Applications
    DOI
    10.1007/s10589-010-9356-0
    ISSN
    09266003
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/36534
    Collection
    • Curtin Research Publications
    Abstract

    This paper discusses the L 2 spectral estimation problem with lower and upper bounds. To the best of our knowledge, it is unknown if the existing methods for this problem have superlinear convergence property or not. In this paper we propose a nonsmooth equation reformulation for this problem. Then we present a smoothing Newton-type method for solving the resulting system of nonsmooth equations. Global and local superlinear convergence of the proposed method are proved under some mild conditions. Numerical tests show that this method is promising.

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