The rate of convergence for the method of alternating projections. II (Q1353696)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The rate of convergence for the method of alternating projections. II |
scientific article; zbMATH DE number 1005662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The rate of convergence for the method of alternating projections. II |
scientific article; zbMATH DE number 1005662 |
Statements
The rate of convergence for the method of alternating projections. II (English)
0 references
6 July 1998
0 references
[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.
0 references
convergence
0 references
error bound
0 references
method of alternating projections
0 references
counter-example
0 references
0 references