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    Some properties on quadratic infinite programs of integral type

    Access Status
    Open access via publisher
    Authors
    Wan, Z.
    Wu, S.
    Teo, Kok
    Date
    2007
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Wan, Zhong and Wu, S. and Teo, Kok Lay. 2007. Some properties on quadratic infinite programs of integral type. Applied Mathematics Letters. 20 (6): pp. 676-680.
    Source Title
    Applied Mathematics Letters
    DOI
    10.1016/j.aml.2006.07.006
    ISSN
    08939659
    Faculty
    Department of Mathematics and Statistics
    School of Science
    Faculty of Science and Engineering
    Remarks

    The link to the journal's home page is: http://www.elsevier.com/wps/find/journaldescription.cws_home/843/description#description

    Copyright © 2007 Elsevier Ltd All rights reserved.

    URI
    http://hdl.handle.net/20.500.11937/36330
    Collection
    • Curtin Research Publications
    Abstract

    In this work, we investigate the properties of a class of quadratic infinite programs where the objective is a quadratic functional of integral type and the feasible region is a subset of the infinite dimensional space L p([0, 1]). We first derive a dual problem of the primal problem to demonstrate that there is no duality gap between them. Then we prove that the objective function depends continuously on the design function. Two existence theorems for this kind of optimization problem are presented. These theoretical results may prove useful in the design of efficient algorithms for this class of infinite programming problem.

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