A Weak‐to‐Strong Convergence Principle for Fejér‐Monotone Methods in Hilbert Spaces

A Weak‐to‐Strong Convergence Principle for Fejér‐Monotone Methods in Hilbert Spaces

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Article ID: iaor20126031
Volume: 26
Issue: 2
Start Page Number: 248
End Page Number: 264
Publication Date: May 2001
Journal: Mathematics of Operations Research
Authors: ,
Keywords: iterative methods, Hilbert space
Abstract:

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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