Steffensen's method: Difference between revisions

The function <code>steffensen_aitken</code> will find a fixed point for us, but how can we use that to find a root? In particular, suppose one wants to find <math>t</math> such that <math>g(t) = 0</math>. Then what one can do (and what we will try to do) is find a fixed point <math>p</math> of <math>f(t) = g(t) + t</math>. For then <math>p = f(p) = g(p) + p</math>, and therefore <math>g(p) = 0</math>.