1:	Set $k=0,\mu >0,{\text{v}}_0$, and ${\text{r}}_0$.
2:	Distribute the initial settings to the $N$ workers
3:	repeat
4:	for all $\mathit{i}=1\dots \dots \mathit{N}$ in parallel do
5:	${\text{u}}_i^{k+1}\in \text{arg}{\text{min}}_{u_i}{f}_i^1\left(A_i{u}_i-d_i\right)+\frac{\mu }{2}{‖\Phi {\text{u}}_i-{\text{v}}_i^k-{\text{r}}_i^k‖}_2^2$
6:	Send ${\text{u}}_i^{k+1}$ to master
7:	end for
8:	Collect ${\text{u}}_i$ and ${\text{r}}_i$ from $N$ workers and broadcast the update v
9:	${\text{v}}^{k+1}\in \text{arg}{\text{min}}_{\text{v}}{f}^2\left(\text{v}\right)+\frac{N\mu }{2}{‖{\overline{\Phi \text{u}}}^{k+1}-\text{v}-{\overline{\text{r}}}^k‖}_2^2$
10:	for all $\mathit{i}=1\dots \dots \mathit{N}$ in parallel do
11:	${\text{r}}_i^{k+1}={\text{r}}_i^k-\Phi {\text{u}}_i^{k+1}+{\text{v}}^{k+1}$
12:	end for
13:	$k\leftarrow k+1$
14:	until acceptance of stopping criterion¶

^¶The iteration $k$ is terminated if $‖{\text{u}}^{\text{t}}-{\text{u}}^{\text{t}-1}‖/‖{\text{u}}^{\text{t}}‖\le {10}^{-4}$.