#8558: add a fast gcd algorithm for univariate polynomials over absolute number
fields
---------------------------+------------------------------------------------
Reporter: lftabera | Owner: AlexGhitza
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.7.1
Component: algebra | Keywords: gcd, pari, ntl, number field
Work_issues: | Upstream: N/A
Reviewer: | Author: Luis Felipe Tabera Alonso
Merged: | Dependencies:
---------------------------+------------------------------------------------
Old description:
> Question arised here,
>
> http://groups.google.com/group/sage-
> devel/browse_thread/thread/0f5b029970e1a4e2/fcec7d0e35474fbd#fcec7d0e35474fbd
>
> univariate gcd is performed using euclidean algorithm, which causes
> explosion of coefficients and is slow but for trivial examples. Instead
> we should use pari that performs better.
>
> 1.- Add a _pari_ function for absolute number fields taht work[[BR]]
> 2.- Add gcd using pari for absolute number fields[[BR]]
> 3.- For relative number fields, pass to an absolute representation. This
> may be slow. But for the cases where this is slow the current
> implementation may be unfeasible.
>
> Apply: trac-8558.patch
New description:
Question arised here,
http://groups.google.com/group/sage-
devel/browse_thread/thread/0f5b029970e1a4e2/fcec7d0e35474fbd#fcec7d0e35474fbd
univariate gcd is performed using euclidean algorithm, which causes
explosion of coefficients and is slow but for trivial examples. Instead we
should use pari that performs better.
1.- Add a _pari_ function for absolute number fields taht work[[BR]]
2.- Add gcd using pari for absolute number fields[[BR]]
3.- For relative number fields, pass to an absolute representation. This
may be slow. But for the cases where this is slow the current
implementation may be unfeasible.
Apply: trac-8558.2.patch
--
Comment(by lftabera):
Apply: trac-8558.2.patch
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8558#comment:14>
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