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» On Local Convergence of the Method of Alternating Projection...
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FOCM
2016
3 years 1 months ago
On Local Convergence of the Method of Alternating Projections
The method of alternating projections is a classical tool to solve feasibility problems. Here we prove local convergence of alternating projections between subanalytic sets A, B u...
Dominikus Noll, Aude Rondepierre
MOR
2008
110views more  MOR 2008»
8 years 5 months ago
Alternating Projections on Manifolds
We prove that if two smooth manifolds intersect transversally, then the method of alternating projections converges locally at a linear rate. We bound the speed of convergence in ...
Adrian S. Lewis, Jérôme Malick
MOR
2010
120views more  MOR 2010»
8 years 3 months ago
Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz In
We study the convergence properties of an alternating proximal minimization algorithm for nonconvex structured functions of the type: L(x, y) = f(x)+Q(x, y)+g(y), where f : Rn → ...
Hedy Attouch, Jérôme Bolte, Patrick R...
SIAMJO
2008
136views more  SIAMJO 2008»
8 years 4 months ago
Relaxed Alternating Projection Methods
Let A and B be nonempty, convex and closed subsets of a Hilbert space H. In the practical considerations we need to find an element of the intersection A B or, more general, to s...
Andrzej Cegielski, Agnieszka Suchocka
JAT
2006
64views more  JAT 2006»
8 years 5 months ago
A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert
A new iterative method for finding the projection onto the intersection of two closed convex sets in a Hilbert space is presented. It is a Haugazeau-like modification of a recentl...
Heinz H. Bauschke, Patrick L. Combettes, D. Russel...
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