Concept

𝑥𝑘+1=𝑥𝑘𝑓(𝑥𝑘)𝑥𝑘𝑥𝑘1𝑓(𝑥𝑘)𝑓(𝑥𝑘1)

it has super-linear convergence rate, with 𝑟1.618.