#14720: Padé approximants
--------------------------------------------------+-------------------------
Reporter: chapoton | Owner: AlexGhitza
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.11
Component: algebra | Resolution:
Keywords: padé approximant, power series | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Frédéric Chapoton | Merged in:
Dependencies: | Stopgaps:
--------------------------------------------------+-------------------------
Changes (by {'newvalue': u'Fr\xe9d\xe9ric Chapoton', 'oldvalue': ''}):
* cc: sage-combinat (added)
* status: new => needs_review
* author: => Frédéric Chapoton
Old description:
> It would be good to have Padé approximants for formal power series
>
> {{{
> sage: z = PowerSeriesRing(QQ, 'z').gen()
> sage: pade(exp(z),4,0)
> 1/24*z^4 + 1/6*z^3 + 1/2*z^2 + z + 1
> sage: pade(exp(z),3,1)
> (1/144*z^3 + 1/24*z^2 + 1/8*z + 1/6)/(-1/24*z + 1/6)
> }}}
>
> patch in preparation
New description:
It would be good to have Padé approximants for formal power series
{{{
sage: z = PowerSeriesRing(QQ, 'z').gen()
sage: exp(z).pade(4,0)
1/24*z^4 + 1/6*z^3 + 1/2*z^2 + z + 1
sage: exp(z).pade(3,1)
(1/144*z^3 + 1/24*z^2 + 1/8*z + 1/6)/(-1/24*z + 1/6)
}}}
Apply:
* [attachment:trac_14720_pade_approximants-fc.patch]
--
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14720#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac?hl=en.
For more options, visit https://groups.google.com/groups/opt_out.
