#5570: [with patch, positive review] determinants of matrices over Z/nZ with n
composite are dog slow
----------------------------+-----------------------------------------------
 Reporter:  was             |        Owner:  was       
     Type:  defect          |       Status:  closed    
 Priority:  major           |    Milestone:  sage-3.4.1
Component:  linear algebra  |   Resolution:  fixed     
 Keywords:                  |  
----------------------------+-----------------------------------------------
Changes (by mabshoff):

 * cc: mvngu (added)


Comment:

 The numbers for the improvement in the Sage 3.4.1 release tour are
 *completely* wrong:
 {{{
 ----------------------------------------------------------------------
 | Sage Version 3.4, Release Date: 2009-03-11                         |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 sage: a = random_matrix(Integers(26), 10)
 sage: time a.determinant()
 CPU times: user 8.07 s, sys: 0.02 s, total: 8.09 s
 Wall time: 8.11 s
 3
 sage: b = random_matrix(Integers(256), 10)
 sage: time b.determinant()
 CPU times: user 7.98 s, sys: 0.01 s, total: 7.99 s
 Wall time: 7.98 s
 0
 }}}
 vs.
 {{{
 ----------------------------------------------------------------------
 | Sage Version 3.4.1.alpha0, Release Date: 2009-03-26                |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 sage: a = random_matrix(Integers(26), 10)
 sage: time a.determinant()
 CPU times: user 0.00 s, sys: 0.00 s, total: 0.00 s
 Wall time: 0.01 s
 7
 sage: b = random_matrix(Integers(256), 10)
 sage: time b.determinant()
 CPU times: user 0.01 s, sys: 0.00 s, total: 0.01 s
 Wall time: 0.00 s
 89
 }}}

 Cheers,

 Michael

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5570#comment:6>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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