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    Convergence analysis of a block improvement method for polynomial optimization over unit spheres

    Access Status
    Fulltext not available
    Authors
    Wang, Y.
    Caccetta, Louis
    Zhou, Guanglu
    Date
    2015
    Type
    Journal Article
    
    Metadata
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    Citation
    Wang, Y. and Caccetta, L. and Zhou, G. 2015. Convergence analysis of a block improvement method for polynomial optimization over unit spheres. Numerical Linear Algebra with Applications. 22 (6): pp. 1059-1076.
    Source Title
    Numerical Linear Algebra with Applications
    DOI
    10.1002/nla.1996
    ISSN
    1070-5325
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/33009
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we study the convergence property of a block improvement method (BIM) for the bi-quadratic polynomial optimization problem over unit spheres. We establish the global convergence of the method generally and establish its linear convergence rate under the second-order sufficient condition. We also extend the BIM to inhomogeneous polynomial optimization problems over unit spheres. Numerical results reported in this paper show that the method is promising.

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