Algorithm I.

SMART-RECON algorithm.

1: k = 0

2: ${\mathbf{X}}_A^{\left(k\right)}\leftarrow \left[{\overrightarrow{X}}^p|{\mathbf{X}}^{\left(k\right)}\right]$

3: while$\left|\right|{\overrightarrow{\mathbf{X}}}^{\left(k\right)}-{\overrightarrow{\mathbf{X}}}^{(k-1)}|{|}_2^2\ge \epsilon$ do

4: ${\overrightarrow{\mathbf{X}}}^{\left(k\right)}\leftarrow {\overrightarrow{\mathbf{X}}}^{(k-1)}+\delta {\mathcal{A}}^{\mathrm{tr}}\text{D}[\overrightarrow{\mathcal{Y}}-\mathcal{A}{\overrightarrow{\mathbf{X}}}^{(k-1)}]$

5: ${\mathbf{X}}_A^{\left(k\right)}\leftarrow \left[{\overrightarrow{X}}^p|{\mathbf{X}}^{\left(k\right)}\right]$

6: ${\mathbf{X}}_A^{(k+1)}\leftarrow {\mathrm{SV\; T}}_{\lambda }\left[{\mathbf{X}}_A^{\left(k\right)}\right]$

7: ${\mathbf{X}}^{(k+1)}\leftarrow {\mathbf{X}}_A^{(k+1)}$

8: k = k + 1

9: end while