#19362: Improve refine_root()
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Reporter: jdemeyer | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-7.1
Component: algebra | Resolution:
Keywords: | Merged in:
Authors: Jeroen Demeyer | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/jdemeyer/ticket/19362 | 9d5f99cf2d3ed36e6028785ac16dc8cbaf243405
Dependencies: | Stopgaps:
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Comment (by mmezzarobba):
You probably know that, but just in case: it is not strictly true that you
cannot use the interval Newton method and must switch to bisection when
the slope interval contains zero. Another option is to interpret 1/[-a,b]
as a kind of ”projective interval” containing ∞ (which gives rise to two
disjoint complex intervals after intersecting with the previous estimate,
so you'll still need to deal with several pieces).
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Ticket URL: <http://trac.sagemath.org/ticket/19362#comment:19>
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