C. Сравнение с другими программами

All times in seconds. Programms have been run on machine 2xOpteron-242 (1.6 Ghz) with 4Gb of RAM, running Gentoo Linux 2004.3 and compiled with gcc-3.4.2. Description of criterions can be found in "paper" section.
* means, that example is not computed due to memory overflow.

JB - results of programm by Yanovich D.A.

ginv ? implemention to Python C++ program have been run on machine Turion-3400 (1.8 Ghz) with 2Gb of RAM, running Gentoo Linux 2005.1 and compiled with gcc-3.4.4

Magma V2.12-17 on evariste (dual processor, AMD Opteron, 2200 MHz, 16 GB)

Example JB ginv (deg) ginv (max) ginv (min) Singular Magma (F4) Magma V2.12-17
assur44 10.35 14.20 6.33 6.4 600.88 4.56 1.13
butcher8 1.06 1.02 0.38 0.39 2.52 4.68 1.22
chemequs 0.67 0.61 0.57 0.6 1.57 12.80 1.84
chemkin 17.83 16.87 10.95 9.95 1.57 32.34 7.64
cohn3 76.72 107.14 30.21 25.47 475.84 37.73 9.68
cpdm5 1.78 1.57 1.69 1.68 2.38 0.69 0.18
cyclic6 0.12 0.19 0.14 0.14 0 0.09 0.02
cyclic7 58.72 60.94 68.59 65.28 * 6.64 1.82
cyclic8 12056.24 14046.26 5826.18 4424.96 * 235.73 57.67
d1 8.77 12.58 1.99 2.08 8.94 28.49 1.70
des18_3 0.19 0.18 0.19 0.19 0 1.81 0.44
des22_24 0.68 0.62 0.77 0.79 0.96 1.37 0.31
discret3 23322.8 20956.31 12642.49 13521.65 * 33658.09 3089.44
dl 270.17 278.89 80.77 89.52 44.79 14.57 2.79
eco8 0.40 0.44 0.44 0.46 0 0.20 0.06
eco9 3.22 5.60 4.99 5.08 4.03 1.25 0.29
eco10 52.56 56.70 65.71 68.06 157.44 7.07 1.75
eco11 765.98 741.74 718.53 679.3 * 62.33 12.43
eco12 4083.00 8824.61 11224.11 11493.49 *
extcyc5 1.35 1.53 1.46 1.37 2.93 0.37 0.11
extcyc6 324.70 184.49 276.06 155.64 * 45.36 12.02
extcyc7 * * * * * 8242.00 1819.4
f744 4.88 7.71 2.22 2.68 2.42 1.47 0.31
f855 132.97 139.79 37.64 38.45 546.69 48.63 7.76
fabrice24 108.52 116.77 8.2 7.7 6912.94 9.45 1.68
filter9 20.97 5.76 1.13 1.6 30.06 80.04 13.16
hairer2 62.91 108.17 126.69 125.43 902.54 92.07 17.85
hairer3 1.96 0.92 0.32 1.4 1072.46 * *
hcyclic7 64.17 53.87 65.81 73.0 4574.47 6.26 1.67
hcyclic8 6024.97 4316.59 * 7560.99 * 229.70 55.33
hf744 22.17 8.58 7.18 11.26 7.25 1.39 0.30
hf855 2157.88 534.08 806.51 988.38 2057.03 48.15 7.70
hietarinta1 0.77 0.71 0.38 0.53 6.78 2.63 0.46
i1 98.24 122.36 58.29 58.21 61.71 55.07 6.89
ilias13 1167.18 5851.97 3013.1 2469.62 56913.46 336.21 70.35
ilias_k_2 323.59 669.68 445.51 270.21 40401.62 55.41 13.46
ilias_k_3 452.32 846.19 1162.7 622.14 26015.41 90.67 21.80
jcf26 224.96 211.24 16.44 14.65 741.20 31.64 5.11
katsura7 2.15 1.77 2.08 1.98 3.10 0.72 0.19
katsura8 27.48 24.66 28.8 27.09 32.18 4.7 1.28
katsura9 337.52 294.59 340.45 311.98 703.45 33.47 8.70
katsura10 4790.55 4983.11 7220.29 6204.95 16547.71 287.38 69.33
kin1 15.18 20.32 7.11 7.11 50.56 45.33 5.65
kotsireas 6.33 37.94 4.93 4.27 9.25 3.45 0.90
noon6 0.97 1.29 1.27 1.29 0 0.60 0.15
noon7 28.87 32.58 37.52 38.52 1.16 4.93 1.24
noon8 1552.26 2292.84 3322.62 3152.57 16.02 43.65 10.37
noon9 84152.10 218.31 422.65 116.40
pinchon1 10.37 0.04 0.01 0.01 8.04 4.09 0.94
rbpl 210.94 177.51 173.8 173.98 1191.37 38.33 8.59
rbpl24 108.78 116.78 8.23 7.7 6862.68 9.62 8.59
redcyc6 0.16 0.17 0.13 0.14 0 0.10 0.02
redcyc7 913.75 1048.69 48.19 48.61 * 5.73 1.65
redeco10 18.51 18.66 23.91 22.4 6.96 2.33 0.63
redeco11 178.32 187.36 253.34 228.41 65.02 14.56 3.96
redeco12 1735.95 2172.75 4666.8 3385.97 591.96 101.51 27.44
reimer5 0.22 0.36 0.34 0.38 1.05 0.74 0.19
reimer6 9.69 21.60 24.19 23.96 * 42.13 10.61
reimer7 719.37 3808.91 4756.4 4314.12 * 5216.53 1196.37
virasoro 9.69 8.90 10.96 10.68 36.25 1.72 0.47