Geodesic
A new geometric acceleration of the von Neumann-Halperin projection method
Electronic transactions on numerical analysis, Tome 45 (2016), pp. 330-341
We develop a geometrical acceleration scheme for the von Neumann-Halperin alternating projection method, when applied to the problem of finding the projection of a point onto the intersection of a finite number of closed subspaces of a Hilbert space. We study the convergence properties of the new scheme. We also present some encouraging preliminary numerical results to illustrate the performance of the new scheme when compared with a well-known geometrical acceleration scheme, and also with the original von Neumann-Halperin alternating projection method.
Classification : 52A20, 46C07, 65H10, 47J25
Keywords: von Neumann-haperin algorithm, alternating projection methods, orthogonal projections, acceleration schemes 
@article{ETNA_2016__45__a9,
     author = {L\'opez,  Williams},
     title = {A new geometric acceleration of the von {Neumann-Halperin} projection method},
     journal = {Electronic transactions on numerical analysis},
     pages = {330--341},
     year = {2016},
     volume = {45},
     zbl = {1353.65016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2016__45__a9/}
}
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López,  Williams. A new geometric acceleration of the von Neumann-Halperin projection method. Electronic transactions on numerical analysis, Tome 45 (2016), pp. 330-341. http://geodesic.mathdoc.fr/item/ETNA_2016__45__a9/