Characterizing arbitrarily slow convergence in the method of alternating projections

Details Characterizing arbitrarily slow convergence in the method of alternating projections Characterizing arbitrarily slow convergence in the method of alternating projections

2007-10-12

arxiv.org/abs/0710.2387v1

Mathematics

Functional Analysis

Scientific paper

In 1997, Bauschke, Borwein, and Lewis have stated a trichotomy theorem that characterizes when the convergence of the method of alternating projections can be arbitrarily slow. However, there are two errors in their proof of this theorem. In this note, we show that although one of the errors is critical, the theorem itself is correct. We give a different proof that uses the multiplicative form of the spectral theorem, and the theorem holds in any real or complex Hilbert space, not just in a real Hilbert space.

Affiliated with

Also associated with

No associations

Rating

Characterizing arbitrarily slow convergence in the method of alternating projections does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Characterizing arbitrarily slow convergence in the method of alternating projections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Characterizing arbitrarily slow convergence in the method of alternating projections will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-402827