#18356: special resultants ``composed_sum`` and ``composed_product``
-------------------------------------+-------------------------------------
       Reporter:  pernici            |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.7
      Component:  algebra            |   Resolution:
       Keywords:                     |    Merged in:
        Authors:                     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/pernici/ticket/18356             |  3806e8403764abf4d391161f836f0ec422201cc5
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by pernici):

 Hi Vincent,
   I opened  #18373 based on the development branch, replacing this ticket.
   I followed your suggestions here and in #18242 :

     In `newton_sum` the ring `R` is added as an argument

     Avoided using fraction fields (apart from ``R(QQ(1)/p1)`` there was
 also a division by `x`).

     Eliminated duplicate code, merging `composed_add` and
 `composed_product`.

     I did some benchmark; there is a strong dependence on the sparseness
 of the polynomials.
     The resultant algorithm is faster with some polynomials with few
 coefficients and high degree.
     By default `composed_op` selects which algorithm to use, based on the
 degree and the number
     of nonvanishing coefficients.
     The dependence on the size of the coefficients does not seem to make
 much difference.

     I eliminated `hadamard_product`.

--
Ticket URL: <http://trac.sagemath.org/ticket/18356#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

-- 
You received this message because you are subscribed to the Google Groups 
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email 
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.

Reply via email to