Algorithm 2 Accelerated proximal gradient algorithm for SLOPE (1.10)
Require: b0 ε ℝp, and set a0 = b0 and θ0 = 1
1:	for k = 0, 1, … do
2:	$b^{k+1}={\text{prox}}_{t_k{J}_{\mathrm{\lambda }}}(a^k-t_k{X}^{\prime }(X{a}^k-y))$
3:	${\theta }_{k+1}^{-1}=\frac{1}{2}(1+\sqrt{1+4/{\theta }_k^2})$
4:	$a^{k+1}=b^{k+1}+{\theta }_{k+1}({\theta }_k^{-1}-1)(b^{k+1}-b^k)$
5:	end for