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    Analysis of some interior point continuous trajectories for convex programming

    251415.pdf (165.7Kb)
    Access Status
    Open access
    Authors
    Qian, X.
    Liao, L.
    Sun, Jie
    Date
    2017
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Qian, X. and Liao, L. and Sun, J. 2017. Analysis of some interior point continuous trajectories for convex programming. Optimization. 66 (4): pp. 589-608.
    Source Title
    Optimization
    DOI
    10.1080/02331934.2017.1279160
    ISSN
    0233-1934
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/52592
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we analyse three interior point continuous trajectories for convex programming with general linear constraints. The three continuous trajectories are derived from the primal–dual path-following method, the primal–dual affine scaling method and the central path, respectively. Theoretical properties of the three interior point continuous trajectories are fully studied. The optimality and convergence of all three interior point continuous trajectories are obtained for any interior feasible point under some mild conditions. In particular, with proper choice of some parameters, the convergence for all three interior point continuous trajectories does not require the strict complementarity or the analyticity of the objective function. These results are new in the literature.

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