Mathemagix

[Joris van der Hoeven <address@concealed>]

On Fri, Jan 23, 2009 at 03:39:09PM +0100, Adrien Poteaux wrote:
> In my current work with Andre Galligo, I need some analytic continuation 
> process for high degree polynomials (something like 100), and I am 
> looking to make this using mathemagix (because it includes fast 
> algorithms which are needed with such degrees, and also because there is 
> some time that I want to use this).
> 
> In some talks given by Joris, he showed some example where mathemagix 
> was making some analytic continuation process. On the mathemagix 
> website, I saw that this was include in the analyziz package, but nor 
> more information are given here. As I am not used to this language for 
> the moment, I would like to know which functions could be usefull for my 
> purpose, what is really done in mathemagix, and what is not.
> 
> More details about what we need : we would like to make analytic 
> continuation along some paths (3 in practice) without of course 
> computing all the singular / critical points (which are too many with 
> such degree). Thus, the two points I see are the analytic continuation 
> process on one hand, and the detection of close singularities during the 
> process on the other hand.
> 
> These subjects have been studied in Joris paper's, where he says that he 
> started the implementation in mathemagix, but is this work ended and 
> available ? And if yes, what do we have to use ?

I do not really understand what you mean by analytic continuation of 
polynomials.
Since polynomials have no singularities, you just want to compute Taylor 
shifts?

Best wishes, Joris