#20243: Count real roots of polynomials using Sturm sequences
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Reporter: kedlaya | Owner: kedlaya
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-7.2
Component: algebra | Resolution:
Keywords: polynomials, | Merged in:
root-counting, days71 | Reviewers:
Authors: Kiran Kedlaya | Work issues:
Report Upstream: N/A | Commit:
Branch: | f932dd3fef7fcf36a8ddd2a9f07cb3f4ae69bc33
u/kedlaya/count_real_roots_of_polynomials_using_sturm_sequences| Stopgaps:
Dependencies: #20256 |
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Comment (by jdemeyer):
Replying to [comment:29 kedlaya]:
> I'm not sure checking the base ring is the right approach; one use case
that was already suggested above is a polynomial over CC which happens to
have real coefficients.
The Sage philosophy is usually that the base ring matters. So, if the
polynomial defined over CC happens to have real coefficients, that's an
accident. It doens't mean that functions expecting real input should work.
--
Ticket URL: <http://trac.sagemath.org/ticket/20243#comment:30>
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