Benning, Martin, Knoll, Florian, Schönlieb, Carola-Bibiane and Valkonen, Tuomo ORCID: 0000-0001-6683-3572
(2015)
Preconditioned ADMM with nonlinear operator constraint.
IFIP Advances in Information and Communication Technology, 494.
pp. 117-126.
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1511.00425v1.pdf - Submitted version Download (656kB) |
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).
Item Type: | Article |
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Uncontrolled Keywords: | math.NA, math.NA, math.OC |
Depositing User: | Symplectic Admin |
Date Deposited: | 26 Apr 2017 08:08 |
Last Modified: | 19 Jan 2023 07:05 |
DOI: | 10.1007/978-3-319-55795-3_10 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3007112 |