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Proximity for Sums of Composite Functions

Abstract : We propose an algorithm for computing the proximity operator of a sum of composite convex functions in Hilbert spaces and investigate its asymptotic behavior. Applications to best approximation and image recovery are described.
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Submitted on : Tuesday, November 22, 2011 - 6:37:04 PM
Last modification on : Wednesday, December 9, 2020 - 3:10:08 PM

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Patrick Louis Combettes, Dinh Dung, Bang Cong Vu. Proximity for Sums of Composite Functions. Journal of Mathematical Analysis and Applications, Elsevier, 2011, 380 (2), pp.680-688. ⟨10.1016/j.jmaa.2011.02.079⟩. ⟨hal-00643804⟩



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