#13643: default norm for RDF/CDF matrices is inconsistent with other types of
matrices
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   Reporter:  jason           |             Owner:  jason, was
       Type:  defect          |            Status:  new       
   Priority:  major           |         Milestone:  sage-5.5  
  Component:  linear algebra  |          Keywords:            
Work issues:                  |   Report Upstream:  N/A       
  Reviewers:                  |           Authors:            
  Merged in:                  |      Dependencies:            
   Stopgaps:                  |  
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 Currently, the default norm for matrices is the induced 2-norm, unless the
 matrix is an RDF or CDF matrix, in which case the default norm is the
 Frobenius norm.  Needless to say, this is very confusing:

 {{{
 sage: version()
 'Sage Version 5.4.rc1, Release Date: 2012-10-05'
 sage: a=matrix(QQ, 3, range(9))
 sage: a.norm()
 14.2267073908
 sage: a.norm(2)
 14.2267073908
 sage: b=a.change_ring(RDF)
 sage: b.norm()
 14.2828568571
 sage: b.norm('frob')
 14.2828568571
 }}}

 I propose we change the default norm for RDF/CDF matrices to the induced
 2-norm.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13643>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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