#17990: Matrix with Infinity
-------------------------------------+-------------------------------------
       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:                     |
-------------------------------------+-------------------------------------

Old description:

> Because there is no `is_zero` and `is_commutative` method for
> `InfinityRing`, a numerous methods fails for matrices with infinity
> elements.
>
> {{{
> sage: m = Matrix([Infinity])
> sage: m.nrows()
> 1
> sage: m.rows()
> ---------------------------------------------------------------------------
> AttributeError                            Traceback (most recent call
> last)
>
> [...]
> AttributeError: 'InfinityRing_class' object has no attribute 'is_zero'
> }}}

New description:

 Because there is no `is_zero` and `is_commutative` method for
 `InfinityRing`, a numerous methods fails for matrices with infinity
 elements. This problem came up in relation with the ticket #17798.

 {{{
 sage: m = Matrix([Infinity])
 sage: m.nrows()
 1
 sage: m.rows()
 ---------------------------------------------------------------------------
 AttributeError                            Traceback (most recent call
 last)

 [...]
 AttributeError: 'InfinityRing_class' object has no attribute 'is_zero'
 }}}

--

Comment (by jipilab):

 Coxeter matrices is an example of matrix where infinity is a possible
 value. See #17798.

--
Ticket URL: <http://trac.sagemath.org/ticket/17990#comment:6>
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