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    A note on the finite convergence of alternating projections

    89316.pdf (411.6Kb)
    Access Status
    Open access
    Authors
    Bui, Hoa
    Loxton, Ryan
    Moeini, A.
    Date
    2021
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Bui, H.T. and Loxton, R. and Moeini, A. 2021. A note on the finite convergence of alternating projections. Operations Research Letters. 49 (3): pp. 431-438.
    Source Title
    Operations Research Letters
    DOI
    10.1016/j.orl.2021.04.009
    ISSN
    0167-6377
    Faculty
    Faculty of Science and Engineering
    School
    School of Elec Eng, Comp and Math Sci (EECMS)
    Funding and Sponsorship
    http://purl.org/au-research/grants/arc/IC180100030
    URI
    http://hdl.handle.net/20.500.11937/89492
    Collection
    • Curtin Research Publications
    Abstract

    We establish sufficient conditions for finite convergence of the alternating projections method for two non-intersecting and potentially nonconvex sets. Our results are based on a generalization of the concept of intrinsic transversality, which until now has been restricted to sets with nonempty intersection. In the special case of a polyhedron and closed half space, our sufficient conditions define the minimum distance between the two sets that is required for alternating projections to converge in a single iteration.

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