Is a higher [[Order of Convergence]] better? Let say we have two methods: Method 1 $\alpha = 2$ Method 2 $\alpha = 3$ Method 2 might not neccasarily be 'better', it could be doing *more work per iteration*. In the case where method 2 is [[Linear Convergence]]: $\huge \begin{align} M_{1} : \alpha = 2, x_{n+1} = x_n^{2} \end{align}$ $\huge \begin{align} M_{2} : \alpha = 1, x_{n+1} = \frac{1}{100} x_n \end{align}$