Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  are presenting a modification of the ll-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).
['Martin Benning', 'Florian Knoll', 'Carola-Bibiane Schönlieb', 'Tuomo Valkonen']
I am writing a research paper on a idea Preconditioned ADMM with nonlinear operator constraint
[{"from": "human", "value": "I am writing a research paper on a idea Preconditioned ADMM with nonlinear operator constraint"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  are presenting a modification of the ll-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)."}]