Re: [sage-devel] Re: Multivariate polynomial multiplication over Z

2010-05-15 Thread William Stein
On Sat, May 15, 2010 at 12:55 PM, Tom Coates wrote: > > Thank you (everyone!) for the many extremely helpful comments and > links. > > Recall that I need to compute > > 1, f, f^2, ..., f^K > > for f in ZZ[x,y,z] and K known but large.  (In fact I only need > certain coefficients of the f^i, but th

Re: [sage-devel] Re: Multivariate polynomial multiplication over Z

2010-05-14 Thread Francesco Biscani
Hi Bill, On Fri, May 14, 2010 at 3:28 PM, Bill Hart wrote: > If I make a couple of simplifications, namely assume that the output > fits into two limbs, and that none of the polynomials has length > > 2^32 - 1, etc, I get pretty good times, certainly better than reported > in Francesco's paper. I

Re: [sage-devel] Re: Multivariate polynomial multiplication over Z

2010-05-13 Thread Francesco Biscani
Hi Bill, in my own experience Kronecker substitution can be effective in a number of situations. It would also automatically handle the case you mention about working only on a subset of variables (i.e., the ones involved in the multiplication). I have the description of my implementation and som