A Remark on the Convergence of the Douglas–Rachford Iteration in a Non-convex Setting |
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Authors: | Ohad Giladi |
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Institution: | 1.School of Mathematical and Physical Sciences,University of Newcastle,Callaghan,Australia |
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Abstract: | Using a known construction of a Lyapunov function, it is shown that the Douglas–Rachford iteration with respect to a sphere and a line in a Hilbert space converges to the intersection point in a fashion which is stronger than uniform convergence on compact sets. |
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Keywords: | |
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