I followed this thread on perturbation of the Mandelbrot set iterations: Perturbation of Mandelbrot set fractal
I was wondering what accuracy these different variables need to be calculated to (high accuracy or like normal floating point) i.e.
- the original values of the reference point iterations, X_n in the link
- the A, B and C coefficients
- the approximated (perturbed) point
What do you do if the perturbed point requires more iterations than the reference point iterations? Do you always have to pick a reference point such that it has more iterations (before escaping) than the points you want to approximate?