#20571: Newton method for nth_root of polynomial
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Reporter: vdelecroix | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-7.2
Component: algebra | Resolution:
Keywords: | Merged in:
Authors: Vincent Delecroix | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #20086 | Stopgaps:
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Comment (by nbruin):
We need to do something else when the characteristic divides n.
{{{
sage: R.<x>=GF(5)[]
sage: nth_root((x+1)^5,5)
ZeroDivisionError: Inverse does not exist.
}}}
Taking a p-th root (with p the characteristic) is easy, though: all
exponents that occur need to be a multiple of p and we simply divide them
by p. Similarly, we take a p-th root of all coefficients.
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Ticket URL: <http://trac.sagemath.org/ticket/20571#comment:4>
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