#14117: Jordan normal form not computed for nilpotent matrix over rational 
function
field / polynomials cannot be factored over rational function field
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       Reporter:  darij                                           |         
Owner:  AlexGhitza               
           Type:  defect                                          |        
Status:  needs_work               
       Priority:  major                                           |     
Milestone:  sage-5.10                
      Component:  algebra                                         |    
Resolution:                           
       Keywords:  polynomials, factorization, jordan normal form  |   Work 
issues:                           
Report Upstream:  N/A                                             |     
Reviewers:  Luis Felipe Tabera Alonso
        Authors:  Darij Grinberg                                  |     Merged 
in:                           
   Dependencies:                                                  |      
Stopgaps:                           
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Comment (by darij):

 Good point about the error raising! I'll do it later today, when I have
 time. I am going to add a check variable that defaults to True so that the
 checking is only done when it is True, though; otherwise the speed
 advantage of this might be significantly diminished. (Checking is best
 done by just comparing the characteristic polynomial to the product of
 (X-eigenvalue)^multiplicity, or is there a better way?)

 I didn't know that blank lines should not be indented! This makes my life
 easier, since I actually thought they *should* be indented...

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14117#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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