1:	logic = true
2:	while (logic)
3:		z = xk + βvk
4:		if (φ(z) ≤ φ(xk))
5:			then
6:				xk+1 = Pz
7:				if (Res(xk+1) < Res(xk))
8:					then logic = false
9:					else β = β/2
10:			else β = β/2