(02/15/2016, 08:11 PM)marraco Wrote: Despite Sheldonison kind attempts to explain fatou.gp algorithm, it goes over my head, so I cannot tweak fatou for more decimals, and must treat it like a black box.
^^I found my problem with fatou.gp
because I cranked up precision, and calculation of tetrations took hours, I was saving the results on a file using the function write(path,sexp(z)), so I could reutilize his results multiple times.
But fatou's sexp() function is formatted to display only 15 decimals. Saving to disk with write() only saves 15 decimals, so it destroys all the hours of work.
I was believing that fatou was fundamentally limited to 15 decimals and the algorithm only showed meaningful digits...
Well, I don't really know, so I will ask on fatou's thread.
EDIT: oh, it actually have 15 digits of precision.
(07/10/2015, 08:58 PM)sheldonison Wrote: A 512x512 matrix gives results accurate to about 15-16 decimal digits for base(e), \( z\mapsto \exp(z) \). The fatou.gp pari-program uses theta mapping to iteratively solve p(z), to dramatically improve convergence.
I have the result, but I do not yet know how to get it.
