#10720: nth_root in power series
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Reporter: pernici | Owner: pernici
Type: defect | Status: needs_review
Priority: minor | Milestone: sage-4.6.2
Component: commutative algebra | Keywords: power series
Author: mario pernici | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Old description:
> computation of an nth root of a power series using the Newton method
>
> Apply trac_10720_power_series_nth_root_2.patch
New description:
computation of an nth root of a power series using the Newton method
Apply:
1. trac_10720_power_series_nth_root_2.patch
2. trac_10720_power_series_nth_root_3.patch
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Comment(by pernici):
With trac_10720_power_series_nth_root_3.patch nth_root is much faster for
`n` large
{{{
sage: S.<t> = QQ[[]]
sage: p = t.exp(30)
sage: %time p1 = p.nth_root(1000)
Wall time: 0.01 s
}}}
with the previous version it takes 84s
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10720#comment:7>
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