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Cheta with base-change: preliminary results
#15
(08/12/2009, 09:03 AM)bo198214 Wrote: And you still didnt tell me what FMA means!
Sorry, I appear to have been mixing up variable names from some old code of Andrew's. I work with the "FMA" on such a regular basis when working with exp(x)-1, that I'd stopped paying attention to the terminology.

See this post:
http://math.eretrandre.org/tetrationforu...147#pid147

The variable fma in that code is the matrix I'm referring to. Hopefully you can tell from the context what Andrew's talking about. Essentially, it gives us a matrix, which we can multiply on the right by a vector of powers of n, to get a vector representing a power series in x. For fractional n, the terms diverge.

Or, we can multiply on the right by a vector of powers of x (i.e., picking a fixed x), and get a power series in n, which is the iteration function. I use this latter approach.

Coincidentally, for me it took SAGE a full day to get a 200x200 FMA matrix. Andrew said he could calculate 150 terms in two minutes using Mathematica:
http://math.eretrandre.org/tetrationforu...124#pid124

I would love to be using more terms, 300 or so if possible, but I fear it would take a week to calculate in SAGE, compared to mere hours in Mathematica.

Is there a way to generate the terms in Mathematica and export them into a format I could import into SAGE?
~ Jay Daniel Fox
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