✦ LIBER ✦

An alternating projection that does not converge in norm

✍ Scribed by Hein S. Hundal

Book ID: 103847117
Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 310 KB
Volume: 57
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2003.11.004

No coin nor oath required. For personal study only.

✦ Synopsis

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 provided.

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