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A parameterized Douglas-Rachford algorithm

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Wang, Xianfu

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A parameterized Douglas-Rachford algorithm
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A principle of finding the least norm solution for a sum of two maximally monotone operators
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30
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Abstract
The Douglas-Rachford splitting method plays an important role in optimization. We modify the method so that it can be used to find the least norm solution and the least norm primal-dual solution for a sum of two maximally monotone operators. Consequences on minimizing a sum of two convex functions will be discussed.
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