#10480: fast PowerSeries_poly multiplication
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Reporter: pernici | Owner: malb
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.6.1
Component: commutative algebra | Keywords: power series
Author: mario pernici | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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In this patch truncated multiplication of dense polynomials is
used in `PowerSeries_poly` multiplication.
in Sage-4.6 on my computer with Intel Core i7 2.8GHz
{{{
sage: R.<a,b> = QQ[]
sage: K.<t> = PowerSeriesRing(R)
sage: time p1 = (1 + a*t + b*t^2 + O(t^50))^-40
Wall time: 7.62s
}}}
with this patch it takes 0.12s
The speed-up increases with the number of variables and with the
precision.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10480>
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