[Banach] Abstract of a paper by H.H. Bauschke, F. Deutsch and H. Hundal

[Dale Alspach]

This is an announcement for the paper "Characterizing arbitrarily
slow convergence in the method of alternating   projections" by
H.H. Bauschke, F. Deutsch and H. Hundal.


Abstract: 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.

Archive classification: math.FA math.OC

Mathematics Subject Classification: 47B20

The source file(s), 071010.tex: 35102 bytes, is(are) stored in
gzipped form as 0710.2387.gz with size 12kb. The corresponding
postcript file has gzipped size 96kb.

Submitted from: heinz.bauschke at ubc.ca

The paper may be downloaded from the archive by web browser from
URL

 http://front.math.ucdavis.edu/0710.2387

 or

 http://arXiv.org/abs/0710.2387

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 to: math at arXiv.org.