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.

ICM'98 http://www.mathematik.uni-kl.de/~zca/Singular