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The method of cyclic projections for closed convex sets in a Hilbert space under the presence of computational errors.
- Source :
-
Numerical Algorithms . Nov2022, Vol. 91 Issue 3, p1427-1439. 13p. - Publication Year :
- 2022
-
Abstract
- In this paper, we study the method of cyclic projections for inconsistent convex feasibility problems in a Hilbert space under the presence of computational errors. We show that our algorithm generates a good approximate solution, if computational errors are bounded from above by a small positive constant. Our main goal is, for a known computational error, to find out what approximate solution can be obtained and how many iterates one needs for this. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HILBERT space
*CONVEX sets
*NONEXPANSIVE mappings
Subjects
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 91
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 159530852
- Full Text :
- https://doi.org/10.1007/s11075-022-01308-9