THE RATE OF CONVERGENCE FOR THE METHOD OF ALTERNATING PROJECTIONS .2.

Authors
DEUTSCH F HUNDAL H
Citation
F. Deutsch et H. Hundal, THE RATE OF CONVERGENCE FOR THE METHOD OF ALTERNATING PROJECTIONS .2., Journal of mathematical analysis and applications, 205(2), 1997, pp. 381-405
Citations number
15
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
205
Issue
2
Year of publication
1997
Pages
381 - 405
Database
ISI
SICI code
0022-247X(1997)205:2<381:TROCFT>2.0.ZU;2-S
Abstract
The purpose of the paper is threefold: (1) To develop a useful error b ound for the method of alternating projections which is relatively eas y to compute and remember; (2) To exhibit a counterexample to a conjec ture of Kayalar and Weinert; (3) To show that (in the case of at least three subspaces) any error bound which only depends on the angles bet ween the various subspaces involved can never be sharp. (C) 1997 Acade mic Press.