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Preconditioned ADMM with nonlinear operator constraint

dc.creatorBenning, Martin
dc.creatorKnoll, Florian
dc.creatorSchonlieb, Carola-Bibiane
dc.creatorValkonen, Tuomo
dc.date.accessioned2016-05-17
dc.date.accessioned2018-11-24T23:19:04Z
dc.date.available2016-07-11T08:20:25Z
dc.date.available2018-11-24T23:19:04Z
dc.date.issued2016
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/256685
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3399
dc.description.abstractWe 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).
dc.languageen
dc.publisherSpringer
dc.publisherIFIP Advances in Information and Communication Technology
dc.relationhttps://www.repository.cam.ac.uk/handle/1810/256221
dc.subjectADMM
dc.subjectprimal-dual
dc.subjectnonlinear inverse problems
dc.subjectparallel MRI
dc.subjectproximal point method
dc.subjectoperator splitting
dc.subjectiterative Bregman method
dc.titlePreconditioned ADMM with nonlinear operator constraint
dc.typeArticle


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