Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

    Approximation algorithms for nonnegative polynomial optimization problems over unit spheres

    Access Status
    Fulltext not available
    Authors
    Zhang, X.
    Zhou, Guanglu
    Caccetta, Louis
    Alqahtani, M.
    Date
    2017
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Zhang, X. and Zhou, G. and Caccetta, L. and Alqahtani, M. 2017. Approximation algorithms for nonnegative polynomial optimization problems over unit spheres. Frontiers of Mathematics in China: pp. 1-18.
    Source Title
    Frontiers of Mathematics in China
    DOI
    10.1007/s11464-017-0644-1
    ISSN
    1673-3452
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/58661
    Collection
    • Curtin Research Publications
    Abstract

    © 2017 Higher Education Press and Springer-Verlag Berlin Heidelberg We consider approximation algorithms for nonnegative polynomial optimization problems over unit spheres. These optimization problems have wide applications e.g., in signal and image processing, high order statistics, and computer vision. Since these problems are NP-hard, we are interested in studying on approximation algorithms. In particular, we propose some polynomial-time approximation algorithms with new approximation bounds. In addition, based on these approximation algorithms, some eFFIcient algorithms are presented and numerical results are reported to show the eFFIciency of our proposed algorithms.

    Related items

    Showing items related by title, author, creator and subject.

    • Optimal control problems with constraints on the state and control and their applications
      Li, Bin (2011)
      In this thesis, we consider several types of optimal control problems with constraints on the state and control variables. These problems have many engineering applications. Our aim is to develop efficient numerical methods ...
    • Optimal control problems involving constrained, switched, and delay systems
      Loxton, Ryan Christopher (2010)
      In this thesis, we develop numerical methods for solving five nonstandard optimal control problems. The main idea of each method is to reformulate the optimal control problem as, or approximate it by, a nonlinear programming ...
    • Computational methods for solving optimal industrial process control problems
      Chai, Qinqin (2013)
      In this thesis, we develop new computational methods for three classes of dynamic optimization problems: (i) A parameter identification problem for a general nonlinear time-delay system; (ii) an optimal control problem ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.