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Accelerating the alternating projection algorithm for the case of affine subspaces using supporting hyperplanes.
- Source :
-
Linear Algebra & its Applications . Mar2015, Vol. 469, p419-439. 21p. - Publication Year :
- 2015
-
Abstract
- The von Neumann–Halperin method of alternating projections converges strongly to the projection of a given point onto the intersection of finitely many closed affine subspaces. We propose acceleration schemes making use of two ideas: Firstly, each projection onto an affine subspace identifies a hyperplane of codimension 1 containing the intersection, and secondly, it is easy to project onto a finite intersection of such hyperplanes. We give conditions for which our accelerations converge strongly. Finally, we perform numerical experiments to show that these accelerations perform well for a matrix model updating problem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 469
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 100427626
- Full Text :
- https://doi.org/10.1016/j.laa.2014.11.035