#10532: Faster multiplication for multivariate power series
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   Reporter:  niles                |       Owner:  malb                         
                     
       Type:  enhancement          |      Status:  needs_info                   
                     
   Priority:  major                |   Milestone:                               
                     
  Component:  commutative algebra  |    Keywords:  multivariate power series 
multiplication Karatsuba
     Author:  pernici              |    Upstream:  N/A                          
                     
   Reviewer:  Niles Johnson        |      Merged:                               
                     
Work_issues:                       |  
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Comment(by niles):

 Replying to [comment:12 pernici]:

 > Another observation: I suspect that total degree multivariate power
 series implemented with PARI would require changes in the implementation
 in ticket #1956, not only in this patch; the background power series ring
 would not be `PowerSeriesRing(self.__poly_ring, T)`, but a PARI power
 series. For certain rings probably one cannot use PARI (e.g. symbolic
 rings?), then the current implementation should be used instead.
 >

 >
 > Maybe it would be better to make a specialized multivariate power series
 class using PARI; this would be the argument of another ticket, if someone
 is interested in working on it; ticket #1956 and this patch would deal
 with the generic implementation.

 This sounds like a good idea -- thanks for clarifying.  The improvements
 you've made are certainly worth finishing and including in sage.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10532#comment:13>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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