Algorithm 1(b).

Algorithm for Updating f_x

Input: Projections X′, α and β, error bound ε, maximum iteration number mmax, SEPP(0) → ∞
Output: SEPP(m+1) and fx(m+1)
1:	for m = 0 to mmax do
2:	fx(m+1) = fx(m) − τ · Δ(m)
3:	SEPP(m+1) = SEPP (α, β, fx(m+1))
4:	if |SEPP(m+1) − SEPP(m)| ≤ ε then
5:	break
6:	end if
7:	end for