Iterative Projection and Reflection Methods: Theory and Practice

Tam, Matthew K (2016) Iterative Projection and Reflection Methods: Theory and Practice. PhD thesis, University of Newcastle.

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    This thesis investigates the family of so-called projection and reflection methods. These methods form the basis for a class of iterative algorithms which can be used to solve the feasibility problem which asks for a point in the intersection of a collection of constraint sets. Many optimisation and reconstruction problems can be profitably modelled within this framework, although the formulation is not always immediately obvious. In a typical feasibility problem the target intersection set is difficult to deal with directly. Projection and reflection algorithms overcome this difficulty by exploiting relatively simpler structure in each of the individual constraint sets from the collection.

    Item Type: Thesis (PhD)
    Subjects: 65-xx Numerical analysis > 65Kxx Mathematical programming, optimization and variational techniques
    Faculty: UNSPECIFIED
    Depositing User: Mr Matthew K Tam
    Date Deposited: 01 Mar 2016 09:54
    Last Modified: 01 Mar 2016 09:54

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