#10848: Checks for Hermitian matrices
------------------------------+---------------------------------------------
   Reporter:  rbeezer         |       Owner:  jason, was  
       Type:  enhancement     |      Status:  needs_review
   Priority:  minor           |   Milestone:              
  Component:  linear algebra  |    Keywords:              
     Author:  Rob Beezer      |    Upstream:  N/A         
   Reviewer:                  |      Merged:              
Work_issues:                  |  
------------------------------+---------------------------------------------
Changes (by rbeezer):

  * status:  needs_work => needs_review


Comment:

 Replying to [comment:10 jason]:
 > If the parameter is there, don't ignore it.  That would be really
 confusing.

 I wouldn't ''totally'' ignore it, but I'd not honor it either, I think.
 Throw an error, since it would exhibit a basic
 misunderstanding/misapplication.
 > {{{
 > sage: SR.is_exact()
 > False
 > }}}

 That's the one that would bite me.  I knew there was one oddball one.

 > In fact, there are an infinite number of inexact rings:
 >
 > {{{
 > sage: RealField(100).is_exact()
 > False
 > sage: S.<s> = LaurentSeriesRing(GF(5))
 > sage: T.<t> = PowerSeriesRing(pAdicRing(5))
 > sage: T.is_exact()
 > False
 > }}}

 Thanks, that's what I needed to know.  (I use RR/CC as stand-ins for all
 the `RealField()`'s.)

 So this will be a problem:

 {{{
 sage: T.<t> = PowerSeriesRing(pAdicRing(5))
 sage: a=T.an_element()
 sage: a
 (1 + O(5^20))*t
 sage: abs(a)
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 /sage/dev/devel/sage-main/<ipython console> in <module>()

 TypeError: bad operand type for abs():
 'sage.rings.power_series_poly.PowerSeries_poly'
 }}}

 Which is making me think it would be better to make the annoying message
 go away by "somebody" implementing matrices over
 RR/CC/RealField()/ComplexField() properly.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10848#comment:11>
Sage <http://www.sagemath.org>
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