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    A system of nonsmooth equations solver based upon subgradient method

    Access Status
    Fulltext not available
    Authors
    Long, Q.
    Wu, Changzhi
    Wang, Xiangyu
    Date
    2015
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Long, Q. and Wu, C. and Wang, X. 2015. A system of nonsmooth equations solver based upon subgradient method. Applied Mathematics and Computation. 251: pp. 284-299.
    Source Title
    Applied Mathematics and Computation
    DOI
    10.1016/j.amc.2014.11.064
    ISSN
    0096-3003
    School
    Department of Construction Management
    URI
    http://hdl.handle.net/20.500.11937/3075
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, a subgradient method is developed to solve the system of (nonsmooth) equations. First, the system of (nonsmooth) equations is transformed into a nonsmooth optimization problem with zero minimal objective function value. Then, a subgradient method is applied to solve the nonsmooth optimization problem. During the processes, the pre-known optimal objective function value is adopted to update step sizes. The corresponding convergence results are established as well. Several numerical experiments and applications show that the proposed method is efficient and robust.

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