. Author manuscript; available in PMC: 2018 Oct 4.

Published in final edited form as: IEEE Trans Med Imaging. 2017 Jun 29;37(10):2165–2175. doi: 10.1109/TMI.2017.2721640

Algorithm 1.

General ADMM minimization algorithm

1:	Initialize x₀, z₀, u₀ ∈ ℝ^p
2:	Input regularization parameter ρ ∈ ℝ
3:	for k = 0 to Convergence do
4:	$x_{k + 1} : = \arg \min_{x} (f (x) + \frac{ρ}{2} {‖ x - z_{k} + u_{k} ‖}_{2}^{2})$
5:	$z_{k + 1} : = \arg \min_{z} (g (z) + \frac{ρ}{2} {‖ z - x_{k} - u_{k} ‖}_{2}^{2})$
6:	$u_{k + 1} : = u_{k} + x_{k} - z_{k}$
7:	end for