algsys and "quotient by zero"



On 10/07/2012 12:13 AM, Richard Fateman wrote:
> On 10/6/2012 2:35 PM, andre maute wrote:
>> On 10/06/2012 04:30 PM, Richard Fateman wrote:
>>> On 10/6/2012 3:14 AM, andre maute wrote:
>>>> Hi list,
>>>>
>>>> does somebody know,
>>>> if I want to solve an algebraic system of equations
>>>> and algsys returns "quotient by zero",
>>>> is there still a possibility my system is solvable?
>>> Yes. This is an internal error in GCD program. try gcd:subres;
>>> then try again.
>>
>> I'll try your and Barton's suggestions, Thanks.
>>
>>> Next time you report a bug, try to include enough information
>>> to reproduce it.
>>
>> I'm still working on a test case. This could take some time.
>>
>> 60 equations
>> 71 variables
>
> Unless the equations are almost all trivial, this is a huge problem.
> How long does it run before it stops?
I believe it was 40 minutes on an old athlon64.
The other one I've posted has

76 equations
87 variables

and stops after some seconds.

Andre

P.S.:
I'm trying to somehow optimize 8 polynomial bases simultaneously.
and these bases are quadratic with two variables.
There is no easier version of the problem.