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 Cheta with base-change: preliminary results jaydfox Long Time Fellow Posts: 440 Threads: 31 Joined: Aug 2007 08/12/2009, 02:43 PM (This post was last modified: 08/12/2009, 02:44 PM by jaydfox.) (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 « Next Oldest | Next Newest »

 Messages In This Thread Cheta with base-change: preliminary results - by jaydfox - 08/11/2009, 05:16 PM RE: Cheta with base-change: preliminary results - by bo198214 - 08/11/2009, 06:45 PM RE: Cheta with base-change: preliminary results - by jaydfox - 08/11/2009, 06:52 PM RE: Cheta with base-change: preliminary results - by jaydfox - 08/11/2009, 08:03 PM RE: Cheta with base-change: preliminary results - by jaydfox - 08/11/2009, 09:12 PM RE: Cheta with base-change: preliminary results - by sheldonison - 08/12/2009, 01:31 AM RE: Cheta with base-change: preliminary results - by jaydfox - 08/12/2009, 02:15 AM RE: Cheta with base-change: preliminary results - by Gottfried - 08/12/2009, 12:37 PM RE: Cheta with base-change: preliminary results - by jaydfox - 08/12/2009, 02:29 PM RE: Cheta with base-change: preliminary results - by Gottfried - 08/12/2009, 03:47 PM RE: Cheta with base-change: preliminary results - by jaydfox - 08/12/2009, 04:49 PM RE: Cheta with base-change: preliminary results - by bo198214 - 08/11/2009, 08:11 PM RE: Cheta with base-change: preliminary results - by jaydfox - 08/11/2009, 08:45 PM RE: Cheta with base-change: preliminary results - by bo198214 - 08/11/2009, 08:54 PM RE: Cheta with base-change: preliminary results - by jaydfox - 08/12/2009, 12:24 AM

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