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Ergodic behaviour of a Douglas-Rachford operator away from origin

Borwein, Jonathan M. and Giladi, Ohad (2016) Ergodic behaviour of a Douglas-Rachford operator away from origin. (Submitted)

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    Abstract

    Considering the Douglas-Rachford iteration scheme with respect to a line and a sphere $\R^d, d�\geq 2$, it is shown that by smoothing the operator in a neighbourhood of the origin, it can be approximated by another operator that satisfies a weak ergodic theorem. Other iteration schemes are also discussed.

    Item Type: Article
    Subjects: UNSPECIFIED
    Faculty: UNSPECIFIED
    Depositing User: Mrs Naghmana Tehseen
    Date Deposited: 05 Sep 2016 20:28
    Last Modified: 05 Sep 2016 20:28
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/1740

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