A weak-to-strong convergence principle for Fejér-monotone methods in Hilbert spaces

HH Bauschke, PL Combettes - Mathematics of operations …, 2001 - pubsonline.informs.org
Mathematics of operations research, 2001pubsonline.informs.org
We consider a wide class of iterative methods arising in numerical mathematics and
optimization that are known to converge only weakly. Exploiting an idea originally proposed
by Haugazeau, we present a simple modification of these methods that makes them strongly
convergent without additional assumptions. Several applications are discussed.
We consider a wide class of iterative methods arising in numerical mathematics and optimization that are known to converge only weakly. Exploiting an idea originally proposed by Haugazeau, we present a simple modification of these methods that makes them strongly convergent without additional assumptions. Several applications are discussed.
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