#17990: Matrix with Infinity
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Reporter: virmaux | Owner:
Type: defect | Status: needs_review
Priority: major | Milestone: sage-6.6
Component: calculus | Resolution:
Keywords: InfinityRing, | Merged in:
matrix, days64 | Reviewers:
Authors: | Work issues:
Report Upstream: N/A | Commit:
Branch: | 270acabc1c9ab7ac116a188643fcc90a01c5043d
u/virmaux/matrix_with_infinity | Stopgaps:
Dependencies: |
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Comment (by tscrim):
This ticket deals exclusively with `MatrixSpace` over `InfinityRing`, and
in this case, it is `InfinityRing` that needs to become a new-style
`Parent` class to fix this ticket and perhaps is the better fix IMO for
`is_zero` (along with the implementation of `is_commutative`).
In parallel to this, `MatrixSpace` should become a `Parent`, and since it
walks like one, it shouldn't be too hard to convert it over.
For matrices with infinities, we want to construct a Coxeter matrix
without the current hack of representing `oo` with `-1` (in
`CoxeterMatrixGroup`), nor do we want to use the `SymbolicRing` as we feel
it is way too heavy-handed of a solution. I guess fundamentally we want a
2D array since we don't need the ground set to be a ring (it'd be
`NN[oo]`), but the matrix class(es) in Sage have nice displays...
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Ticket URL: <http://trac.sagemath.org/ticket/17990#comment:9>
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