The rate of convergence for the method of alternating projections. II
type: Item
instance of: scholarly article
title: The rate of convergence for the method of alternating projections. II
zbMATH Open document ID: 0890.65053
author: F. Deutsch
author: Hein S. Hundal
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-07-06T00:00:00Z
review text: [For Part I see \textit{F. Deutsch}, Parametric optimization and approximation, Conf. Oberwolfach 1983, ISNM 72, 96-107 (1985; Zbl 0575.65049).] The authors give a very useful, easily computable error bound for the method of alternating projections. They also show that any error bound, which only depends on the angles between the various subspaces involved, can never be sharp. A counter-example to a conjecture of \textit{S. Kayalar} and \textit{H. L. Weinert} [Math. Control Signals Syst. 1, No. 1, 43-59 (1988; Zbl 0673.65036)] is also given.
Mathematics Subject Classification ID: 65J10
zbMATH DE Number: 1005662
zbMATH Keywords: convergence
zbMATH Keywords: error bound
zbMATH Keywords: method of alternating projections
zbMATH Keywords: counter-example
reviewed by: Aurél Galántai
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5202
OpenAlex ID: W2052610157
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DOI: 10.1006/JMAA.1997.5202
description: scientific article; zbMATH DE number 1005662