|
Symbolic Numerical Solving - Timings
Comparison
| |
[Amrhein &al] |
[Wallack &al] |
cyclic 5 |
Arnborg 6 |
Methan 6_1 |
| # variables |
3 |
4 |
5 |
6 |
10 |
| multiplicity |
53 |
16 |
70 |
156 |
27 |
| # diff. roots |
32 |
16 |
70 |
156 |
27 |
| |
SINGULAR 1-3-7 |
Mathematica 4.0 |
MAPLE V.5 |
REDUCE 3.7 |
| Example |
roots |
time |
roots |
time |
roots |
time |
roots |
time |
| |
found |
(sec) |
found |
(sec) |
found |
(sec) |
found |
(sec) |
| [Amrhein &al] |
32 |
24 |
37 |
100 |
-- |
> 5000 |
-- |
> 5000 |
| [Wallack &al] |
16 |
2 |
16 |
9 |
1 |
1 |
16 |
22 |
| cyclic 5 |
70 |
5 |
-- |
> 5000 |
-- |
> 5000 |
-- |
> 5000 |
| Arnborg 6 |
156 |
22 |
-- |
> 5000 |
-- |
> 5000 |
-- |
> 5000 |
| Methan 6_1 |
27 |
66 |
-- |
> 5000 |
-- |
> 5000 |
-- |
> 5000 |
|