Norm convergence of realistic projection and reflection methods

We provide sufficient conditions for norm convergence of various projection and reflection methods, as well as giving limiting examples regarding convergence rates.

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Bibliographic Details
Published in:Optimization 2015-01, Vol.64 (1), p.161-178
Main Authors: Borwein, Jonathan M., Sims, Brailey, Tam, Matthew K.
Format: Article
Language:English
Subjects:
alternating projection method
Constraining
Convergence
Douglas-Rachford method
Hilbert lattice
Mathematical analysis
norm convergence
Norms
Optimization
Projection
Reflection
Studies
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Description
Summary:We provide sufficient conditions for norm convergence of various projection and reflection methods, as well as giving limiting examples regarding convergence rates.
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2014.947499