An alternating projection that does not
✍
Hein S. Hundal
📂
Article
📅
2004
🏛
Elsevier Science
🌐
English
⚖ 310 KB
This paper proves that the method of alternating projections between two closed convex intersecting sets does not always converge in norm. Weak convergence was established by Bregman (Soviet Math. Dokl. 6 (1965) 688), but the status of norm convergence was undetermined. An explicit counterexample is