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Preconditioned ADMM with Nonlinear Operator Constraint
Abstract : We are presenting a modification of the well-known Alternating Direction Method of Multipliers (ADMM) algorithm with additional preconditioning that aims at solving convex optimisation problems with nonlinear operator constraints. Connections to the recently developed Nonlinear Primal-Dual Hybrid Gradient Method (NL-PDHGM) are presented, and the algorithm is demonstrated to handle the nonlinear inverse problem of parallel Magnetic Resonance Imaging (MRI).
Cited literature [23 references]
https://hal.inria.fr/hal-01626884
Contributor : Hal Ifip <>
Submitted on : Tuesday, October 31, 2017 - 2:40:04 PM
Last modification on : Wednesday, August 14, 2019 - 10:46:03 AM
Long-term archiving on: : Thursday, February 1, 2018 - 1:50:50 PM
Contributor : Hal Ifip <>
Submitted on : Tuesday, October 31, 2017 - 2:40:04 PM
Last modification on : Wednesday, August 14, 2019 - 10:46:03 AM
Long-term archiving on: : Thursday, February 1, 2018 - 1:50:50 PM
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447583_1_En_10_Chapter.pdf
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Distributed under a Creative Commons Attribution 4.0 International License