[sage-devel] Re: singular gcd slow-down

2007-09-25 Thread didier deshommes
2007/9/19, Joel B. Mohler [EMAIL PROTECTED]: On Wednesday 19 September 2007 16:22, William Stein wrote: I think those timings are way out of date, since Singular 3 seems to be *very* fast at mod p multivariate GCD computation, even though it sucks over QQ. Check out this paper:

[sage-devel] Re: singular gcd slow-down

2007-09-19 Thread William Stein
On 9/19/07, Joel B. Mohler [EMAIL PROTECTED] wrote: As I wrote on sage-devel a bit earlier, I had some polynomials that were causing singular gcd to slow down dramatically. I had thought this was inconsistent, but upon more investigation it seems very consistent (on two different computers).

[sage-devel] Re: singular gcd slow-down

2007-09-19 Thread mabshoff
On Sep 19, 9:55 pm, William Stein [EMAIL PROTECTED] wrote: On 9/19/07, Joel B. Mohler [EMAIL PROTECTED] wrote: As I wrote on sage-devel a bit earlier, I had some polynomials that were causing singular gcd to slow down dramatically. I had thought this was inconsistent, but upon more

[sage-devel] Re: singular gcd slow-down

2007-09-19 Thread William Stein
On 9/19/07, mabshoff [EMAIL PROTECTED] Well, we had some more discussion in #sage-devel and rpw posted an interesting link: http://magma.maths.usyd.edu.au/users/allan/gcdcomp.html In summary: Singular's multivariate GCD is slower by orders of magnitude. Magma's algorithms are described at:

[sage-devel] Re: singular gcd slow-down

2007-09-19 Thread Joel B. Mohler
On Wednesday 19 September 2007 15:55, William Stein wrote: Just for clarity, why not just compute the GCD with mathematica? Well, I am doing that. I assumed that I had found a slow corner case that singular folks would want to fix. I'm not entirely sure that this point how small that corner

[sage-devel] Re: singular gcd slow-down

2007-09-19 Thread William Stein
On 9/19/07, Joel B. Mohler [EMAIL PROTECTED] wrote: On Wednesday 19 September 2007 15:55, William Stein wrote: Just for clarity, why not just compute the GCD with mathematica? Well, I am doing that. I didn't mean for your program -- just for benchmarking purposes. I assumed that I had

[sage-devel] Re: singular gcd slow-down

2007-09-19 Thread Jack Schmidt
On Sep 19, 4:22 pm, William Stein [EMAIL PROTECTED] wrote: On 9/19/07, mabshoff [EMAIL PROTECTED] Well, we had some more discussion in #sage-devel and rpw posted an interesting link: http://magma.maths.usyd.edu.au/users/allan/gcdcomp.html In summary: Singular's multivariate GCD is

[sage-devel] Re: singular gcd slow-down

2007-09-19 Thread mabshoff
On Sep 19, 10:52 pm, Jack Schmidt [EMAIL PROTECTED] wrote: On Sep 19, 4:22 pm, William Stein [EMAIL PROTECTED] wrote: SNIP Who wants to be a hero -- like Jon Bober and number of partitions -- and implement this for Sage, so that multivariate GCD's aren't embarrassingly slow in Sage

[sage-devel] Re: singular gcd slow-down

2007-09-19 Thread Joel B. Mohler
On Wednesday 19 September 2007 16:22, William Stein wrote: I think those timings are way out of date, since Singular 3 seems to be *very* fast at mod p multivariate GCD computation, even though it sucks over QQ. Check out this paper: http://www.cecm.sfu.ca/CAG/papers/brown.ps