Editing Rate of convergence (section)

=== Order estimation ===
A practical method to calculate the order of convergence for a sequence generated by a fixed point iteration is to calculate the following sequence, which converges to the order <math>q</math>:<ref>{{cite web |last=Senning |first=Jonathan R. |title=Computing and Estimating the Rate of Convergence |url=http://www.math-cs.gordon.edu/courses/ma342/handouts/rate.pdf |access-date=2020-08-07 |website=gordon.edu}}</ref>
<math display="block">q \approx \frac{\log \left|\displaystyle\frac{x_{k+1} - x_k}{x_k - x_{k-1}}\right|}{\log \left|\displaystyle\frac{x_k - x_{k-1}}{x_{k-1} - x_{k-2}}\right|}.</math>

For numerical approximation of an exact value through a numerical method of order <math>q</math> see.<ref>{{cite web |last=Senning |first=Jonathan R. |title=Verifying Numerical Convergence Rates |url=https://www.csc.kth.se/utbildning/kth/kurser/DN2255/ndiff13/ConvRate.pdf |access-date=2024-02-09}}</ref>