Outline
Overview
Ext
Primdec
Normalize
MuPAD
Deform
Classify
Puiseux
Future
|
Comparative Timings of GB Computations
| degrevlex |
HP 9000/780, 512 MByte RAM, HPUX-10.20 |
P200, 64MByte RAM, Linux |
| Example |
Singular 1.0 |
Singular 1.2 |
Macaulay 2 |
CoCoA 3.4 |
Singular 1.2 |
Singular char 1.2 |
GB |
| homog Alex 2 |
35.3 [4.5] |
7.94 |
29.2 [3.7] |
56.1 [7.1] |
18.1 [1.2] |
16.1 [1.1] |
14.9 |
| katsura8 |
172 [2.5] |
70.9 |
155 [2.2] |
358 [5.0] |
123 [2.2] |
99 [1.8] |
55 |
| homog-gonnet |
245 [2.7] |
144 [1.6] |
91.7 |
469 [5.1] |
216 [1.6] |
156 [1.2] |
133 |
| cyclic 7 |
271[1.3] |
214[1.1] |
203 |
Characteristic: 32003; Ordering: degree reverse lexicographic;
Times in seconds
| lex |
HP 9000/780, 512 MByte RAM, HPUX-10.20 |
| Example |
Singular 1.0 |
Singular 1.2 |
Macaulay 2 |
CoCoA 3.4 |
| katsura7 |
X |
29.0 |
X |
X |
| bjork8 |
509 [29.9] |
17.0 |
X |
X |
| symmetric6 |
311 [4.7] |
66.6 |
105 [1.6] |
262 [3.9] |
Characteristic: 32003; Ordering: lexicographic;
X: longer than 15min
See TR number 18 at
http://www.mathematik.uni-kl.de/~zca/ for
details on the examples.
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