Re: [sage-devel] Re: A Sage interface for FGb (Gröbner bases)

2018-11-26 Thread Simon King
Hi!

On 2018-11-26, parisse  wrote:
> not as complete: a quick look indicates that monomial ordering supported 
> are revlex and lex (no elimination, this is probably not hard to add), and 
> coefficients must belong to Z/pZ (support for Q would require more work...)

What is your definition of "elimination order"? If I understand
correctly, lex *is* an elimination order.

Best regards,
Simon

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[sage-devel] Re: A Sage interface for FGb (Gröbner bases)

2018-11-26 Thread parisse


Le lundi 26 novembre 2018 17:16:16 UTC+1, Bill Hart a écrit :
>
>
>
>
> From his recent talks, his implementation is nowadays more than 
> competitive.
>

I confirm that his timings are very good: for example almost 3 times faster 
than Giac for cyclic9 modular. On the other hand, the implementation seems 
not as complete: a quick look indicates that monomial ordering supported 
are revlex and lex (no elimination, this is probably not hard to add), and 
coefficients must belong to Z/pZ (support for Q would require more work...)

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[sage-devel] Re: A Sage interface for FGb (Gröbner bases)

2018-11-26 Thread 'Bill Hart' via sage-devel


On Saturday, 24 November 2018 20:25:13 UTC+1, john_perry_usm wrote:
>
> I walk into this discussion with some hesitancy, but Christian Eder has 
> developed a rather efficient F4 algorithm. [1] I know it works and is quite 
> fast, though I haven't compared it to the implementations mentioned above. 
> Unfortunately, I haven't heard from him in a while after he went off to 
> Iran for a few weeks, and he doesn't seem to have updated his site since 
> then, either.
>

I assure you he is quite alive. I saw him a few minutes ago! 

>From his recent talks, his implementation is nowadays more than competitive.

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Re: [sage-devel] A Sage interface for FGb (Gröbner bases)

2018-11-26 Thread Jean-Pierre Flori
For GB addict, yet another open source implementation:
https://gforge.inria.fr/projects/tinygb/

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