| 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: | Bauschke Heinz H, Combettes Patrick L |
| Keywords: | iterative methods, Hilbert space |
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.