Preconditioned ADMM with nonlinear operator constraint


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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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
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
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