#17517: Implement roots of polynomials over SR
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Reporter: jdemeyer | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.5
Component: number theory | Resolution:
Keywords: | Merged in:
Authors: Martin von Gagern | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/gagern/ticket/17517 | 472c754f6b833011877484e0ce944a5d2ad9d3e0
Dependencies: | Stopgaps:
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Changes (by {'newvalue': u'Martin von Gagern', 'oldvalue': ''}):
* status: new => needs_review
* commit: => 472c754f6b833011877484e0ce944a5d2ad9d3e0
* dependencies: #14239 =>
* author: => Martin von Gagern
Comment:
I decided to implement this without waiting on #17516. We can always add
an extra code path for that later on. I consider this method the canonical
place to compute radical expressions for polynomials, so I've adapted the
approach via `Expression.solve` I've been using in other places as well.
If this gets accepted quickly, I might even change #14239 to make use of
this.
There is one situation I just thought of: if the coefficients are from
`AA` or `QQbar`, then my current implementation will fail. In that
situation your original suggestion, of computing roots in `QQbar` and then
turning them into symbolic expressions, starts to make a lot of sense. But
I'd rather handle that in a separate ticket, since such polynomials are
much rarer and that code really would depend on #14239 which, as I just
suggested, could benefit from depending on this implementation here.
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New commits:
||[http://git.sagemath.org/sage.git/commit/?id=472c754f6b833011877484e0ce944a5d2ad9d3e0
472c754]||{{{Implement symbolic (radical) roots of polynomials.}}}||
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Ticket URL: <http://trac.sagemath.org/ticket/17517#comment:4>
Sage <http://www.sagemath.org>
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