#13393: Vector normalization
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Reporter: chrisjamesberg | Owner: Chris Berg
Type: defect | Status: needs_work
Priority: major | Milestone: sage-5.4
Component: linear algebra | Resolution:
Keywords: vector, normalize | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Chris Berg | Merged in:
Dependencies: | Stopgaps:
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Comment (by rbeezer):
What if your base ring/field does not have any square roots?
{{{
sage: v = vector([1,2,3])
sage: n = v.norm()
sage: n
sqrt(14)
sage: u = (1/n)*v
sage: u.base_ring()
Symbolic Ring
}}}
We start with a free module element (integer entries) and then we end up
in the Symbolic Ring (which is often hard to get out of).
Over RDF/CDF I'd agree entirely. For '''exact''' linear algebra, I'm not
convinced.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13393#comment:10>
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