#10480: fast PowerSeries_poly multiplication
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   Reporter:  pernici              |       Owner:  malb        
       Type:  enhancement          |      Status:  needs_work  
   Priority:  major                |   Milestone:  sage-4.6.2  
  Component:  commutative algebra  |    Keywords:  power series
     Author:  mario pernici        |    Upstream:  N/A         
   Reviewer:                       |      Merged:              
Work_issues:                       |  
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Comment(by lftabera):

 I will try to implement the algorithm at "A long note on Mulders’ short
 product" of Hanrot and Zimmermann that looks not harder than Karatsuba.
 The authors claim that heuristically the gain time is on the average 0.7 x
 Karatsuba time.

 Also, the following cases have to be correctly covered:

 {{{
 sage: O(x)*O(x)
 0
 sage: O(x^2)*O(x^3)
 0
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10480#comment:4>
Sage <http://www.sagemath.org>
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