A weak-to-strong convergence principle for
Fejer-monotone methods in Hilbert space
Heinz Bauschke
Okanagan University College/ Mathematics and Statistics
bauschke@cecm.sfu.ca
ABSTRACT.
We consider a wide class of iterative methods arising in
numerical mathematics, approximation, and optimization that are known
to converge only weakly. Exploiting an idea originally proposed by
Haugazeau, we present a simple modification of these methods which
makes them strongly convergent without additional assumptions. Several
applications are discussed.
Based on joint work with Patrick Combettes, City University of New
York.
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