#16008: inclusion of the ore_algebra within Sage
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Reporter: zimmerma | Owner:
Type: enhancement | Status: positive_review
Priority: major | Milestone: sage-6.2
Component: packages: | Resolution:
optional | Merged in:
Keywords: gfun Mgfun Ore | Reviewers: Marc Mezzarobba, Ralf
guessing | Stephan
Authors: | Work issues:
Report Upstream: N/A | Commit:
Branch: | Stopgaps:
Dependencies: |
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Changes (by vbraun):
* cc: schilly (added)
* commit: 002e19f65ba5ccc0a3cc3b92000028d5522324b6 =>
* branch: u/rws/inclusion_of_the_ore_algebra_within_sage =>
Old description:
> the group of Manuel Kauers at RISC develops the {{{ore_algebra}}} package
> (http://www.risc.jku.at/research/combinat/software/ore_algebra/index.php)
> which is similar to the
> Maple gfun package (but more powerful since it works in more general
> rings), and will be extended to
> the multivariate case. A small example with version 0.1:
> {{{
> sage: from ore_algebra import *
> sage: R.<x> = QQ[]; A.<Dx> = OreAlgebra(R)
> sage: deq = guess([1,1,2,3,5,8,13,21],A)
> sage: deq
> (x^2 + x - 1)*Dx + 2*x + 1
> sage: rec = A(deq).to_S(A2)
> sage: rec
> (-n - 2)*Sn^2 + (n + 2)*Sn + n + 2
> }}}
New description:
the group of Manuel Kauers at RISC develops the {{{ore_algebra}}} package
(http://www.risc.jku.at/research/combinat/software/ore_algebra/index.php)
which is similar to the
Maple gfun package (but more powerful since it works in more general
rings), and will be extended to
the multivariate case. A small example with version 0.1:
{{{
sage: from ore_algebra import *
sage: R.<x> = QQ[]; A.<Dx> = OreAlgebra(R)
sage: deq = guess([1,1,2,3,5,8,13,21],A)
sage: deq
(x^2 + x - 1)*Dx + 2*x + 1
sage: rec = A(deq).to_S(A2)
sage: rec
(-n - 2)*Sn^2 + (n + 2)*Sn + n + 2
}}}
New optional spkg:
http://www.risc.jku.at/research/combinat/software/ore_algebra/ore_algebra-0.1.spkg
--
Comment:
Harald: can you mirror it?
--
Ticket URL: <http://trac.sagemath.org/ticket/16008#comment:18>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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