EPTV Algorithm:

Initialize f(0) = 0. For k = 1,2,…, do the following steps until convergence. Solve (P1): $v^{(k+1)}={\text{argmin}}_f{\Vert Pf-y\Vert }_2^2$ with an initial value f(k) using CGLS solver. Solve (P2): $f^{(k+1)}={\text{argmin}}_f\frac{\lambda }{2}{\Vert f-v^{(k+1)}\Vert }_2^2+{\Vert f\Vert }_{\mathit{EPTV}}$with GD method, and ω is updated at each iteration in this step, Ensuring image positivity: f(k+1) = 0 if f(k+1) < 0.