#11356: Companion matrix constructor
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Reporter: rbeezer | Owner: jason, was
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-4.7.1
Component: linear algebra | Keywords: beginner
Work_issues: | Upstream: N/A
Reviewer: | Author: Rob Beezer
Merged: | Dependencies:
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Comment(by rbeezer):
Replying to [comment:2 jason]:
> Note that Magma defaults to `format='bottom'`, I think. Is there any
consistency issues with us defaulting to `format='right'`, given that we
follow the Magma convention of row vectors?
Everything I read about companion matrices and rational canonical form
(Frobenius form) uses the "right" version. It is the natural thing to use
when you put your basis vectors into a matrix as columns, as is done with
QR, Jordan form, and maybe others.
So I think "right" is the right default (pun intended), but "bottom" (and
"top" and "left") are available for folks constructing less natural
objects.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11356#comment:4>
Sage <http://www.sagemath.org>
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