1988
DOI: 10.1007/bf02551235
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Error bounds for the method of alternating projections

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Cited by 90 publications
(69 citation statements)
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“…The second equality follows from the first and the fact that IIP* Pli = 11P1I 2 for any bounded linear operator P on H. Taking P = PN PM, we see that (1) is from Kayalar and Weinert [19] and (2)(a) (resp., (2)(h» is a simple consequence of the definition (resp., (1». We do not know who first ohserved (3).…”
Section: Pml = I -Pmmentioning
confidence: 89%
“…The second equality follows from the first and the fact that IIP* Pli = 11P1I 2 for any bounded linear operator P on H. Taking P = PN PM, we see that (1) is from Kayalar and Weinert [19] and (2)(a) (resp., (2)(h» is a simple consequence of the definition (resp., (1». We do not know who first ohserved (3).…”
Section: Pml = I -Pmmentioning
confidence: 89%
“…. , k. We now complement the analysis of Theorem 3.5 by showing how to calculate the angles between subspaces employed in the estimate of the constant c and in the alternative estimates of [5,7].…”
Section: In Lemma 34 It Was Shown Thatmentioning
confidence: 98%
“…Apparently, this theorem was not very well advertised, because many other authors have discovered it independently, including Aronszajn [48] and Wiener [77]. It was shown by Aronszajn [48] and Kayalar-Weinert [49] that both sequences of iterates converge geometrically with a rate exactly equal to the squared cosine of the (Friedrichs) principal angle between the two subspaces.…”
Section: G Literature On Alternating Projectionmentioning
confidence: 99%