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    A solution method for combined semi-infinite and semi-definite programming

    135956_19594_2003-3 A Solution Method for Combined Semi-infinite and Semi-definite Programming.pdf (640.2Kb)
    Access Status
    Open access
    Authors
    Li, S.
    Yang, X.
    Teo, Kok Lay
    Wu, S.
    Date
    2004
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Li, S and Yang, X and Teo, Kok Lay and Wu, S. 2004. A solution method for combined semi-infinite and semi-definite programming. ANZIAM. 45: pp. 477-494.
    Source Title
    ANZIAM
    DOI
    10.1017/S1446181100013511
    ISSN
    14461811
    Faculty
    School of Science and Computing
    Department of Mathematics and Statistics
    Faculty of Science and Engineering
    URI
    http://hdl.handle.net/20.500.11937/16509
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we develop a discretisation algorithm with an adaptive scheme for solving a class of combined semi-infinite and semi-definite programming problems. We show that any sequence of points generated by the algorithm contains a convergent subsequence; and furthermore, each accumulation point is a local optimal solution of the combined semi-infinite and semi-definite programming problem. To illustrate the effectiveness of the algorithm, two specific classes of problems are solved. They are relaxations of quadratically constrained semi-infinite quadratic programming problems and semi-infinite eigenvalue problems.

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