On Monday, May 9, 2016 at 4:03:49 AM UTC-5, parisse wrote:

>
>
> Le lundi 9 mai 2016 09:18:53 UTC+2, john_perry_usm a écrit :
>>
>>
>> For the homogeneous cyclic-8,
>>
>> > int RT = rtimer; int T=timer; size(sba(k,0,0)); rtimer-RT; timer-T; 
>> 1182
>> 6854
>> 5113
>>
>>
> Strange figures: I get 455 for the first (which is correct for the basis 
> size, while 1182 is wrong), and a little less than 13s for the timings, 
> indeed faster than singular groebner but still 10 to 4* slower than 
> mgb/fgb/giac f4 .. and you must dig into singular documentation!
>

I was doing this late last night & may have typed the ideal wrong. I did 
think the number was wrong, but was too tired to look at it again.

Anyway, Christian replied with this:

yes, the sba() implementation is old and only faster than std() for
>
> dense systems like katsura. We have some students working on this, but
>
> not much effort. There will be an F4 implementation based on GBLA in
>
> Singular sometimes this year. Afterwards we will work on an F5 with
>
> linear algebra.
>
>

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