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» On Local Convergence of the Method of Alternating Projection...
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MOR
2008
110views more  MOR 2008»
13 years 10 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»
13 years 9 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»
13 years 10 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»
13 years 10 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...
MOC
1998
89views more  MOC 1998»
13 years 10 months ago
Approximation of continuous time stochastic processes by a local linearization method
This paper investigates the rate of convergence of an alternative approximation method for stochastic differential equations. The rates of convergence of the one-step and multi-st...
Isao Shoji