#10477: Add a random vector constructor
------------------------------+---------------------------------------------
   Reporter:  rbeezer         |       Owner:  jason, was  
       Type:  enhancement     |      Status:  needs_review
   Priority:  minor           |   Milestone:  sage-4.6.2  
  Component:  linear algebra  |    Keywords:              
     Author:  Rob Beezer      |    Upstream:  N/A         
   Reviewer:                  |      Merged:              
Work_issues:                  |  
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Changes (by rbeezer):

  * status:  needs_work => needs_review


Comment:

 Replying to [comment:2 rbeezer]:
 > This might work better if it just called the `random_element()` method
 for vector spaces.  I'm going to move this to "needs work" until I get a
 chance to investigate.

 `.random_element()` allows setting the density of the result (fraction of
 zeros), while this routine allows for sparse representations.  The present
 routine could be extended to include a probability argument to allow for
 controlling the density.  Run times look similar.

 {{{
 sage: time for i in range(5000): random_vector(QQ, 100)
 CPU times: user 4.22 s, sys: 0.05 s, total: 4.27 s
 Wall time: 4.28 s
 sage: V=QQ^100
 sage: time for i in range(5000): V.random_element()
 CPU times: user 3.95 s, sys: 0.00 s, total: 3.95 s
 Wall time: 3.96 s
 }}}

 So I think this is ready (again) for review.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10477#comment:3>
Sage <http://www.sagemath.org>
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