VerifyRealRoots

A MATLAB package for computing real verified solutions of polynomial systems of equations and inequalities

Zhengfeng Yang and Lihong Zhi

Return to polynomial systems of equations

Performance summary on polynomial systems of equations

problem #var degree MMCRSolver Hom4ps
timing(s) #solution timing(s) #solution
boon 6 4 39.8125 0 3.203125 8
cohn2 4 6 5.515625 1 1.421875 4
cohn3 4 6 3.328125 1 2.0625 9
comb3000 10 3 22.609375 1 9.3125 4
d1 12 3 36.984375 2 17.734375 16
des22_24 10 2 130.890625 0 10.046875 10
discret3 8 2 75.359375 1 10.59375 93
geneig 6 3 7.9375 2 3.03125 10
heart 8 4 52.671875 2 5.5625 2
i1 10 3 12.703125 1 9.953125 16
katsura5 6 2 3.78125 1 2.828125 11
kin1 12 3 606.734375 0 18.734375 16
ku10 10 2 174.59375 0 9.3125 2
noon3 3 3 6.734375 0 0.6875 8
noon4 4 3 13.5625 0 1.28125 16
puma 8 2 12.3125 2 5.40625 16
quadfor2 4 4 13.515625 0 0.96875 2
rbpl 6 3 79.796875 0 3.53125 4
redeco5 5 2 2.65625 1 1.828125 4
reimer5 5 6 26.691771 3 3.046875 24
adjmin22e4 6 2 0.65625 1 6.5 38
butcher 4 3 2.9375 1 10.078125 37
curve_1 2 6 100.796875 1 0.515625 6
curve_2 2 12 4.015625 1 1.625 12
curve_3 2 6 2.921875 0 0.453125 6
curve_4 2 3 2.34375 1 0.640625 3
curve_5 2 6 4.296875 0 0.984375 2
gerdt2 5 4 3.484375 1 9.921875 32
mohab4 3 5 100.96875 1 1.453125 10
mohab5 4 4 5.4375 1 6.609375 42
adjmin23e5 8 2 5.6875 1 5.671875 1
adjmin24e6 10 2 11.234375 1 10.75 1
adjmin25e7 12 2 16.5 1 16.734375 1
adjmin26e8 14 2 52.578125 1 26.125 1
adjmin27e9 16 2 60.703125 1 36.46875 1
adjmin28eA 18 2 108.90625 1 50.40625 1
adjmin29eB 20 2 448.90625 1 71.15625 1
birkoff 4 10 21.9375 1 2.875 5
bronestein2 4 4 6.984375 1 1.046875 2
curve_0 2 12 28.546875 1 0.625 4
geddes2 5 6 7.609375 1 5.609375 11
geddes3 11 3 17.03125 1 12.890625 1
geddes4 12 3 22.140625 1 5.84375 1
hairer1 8 3 6.6875 1 5.21875 2
hairer2 9 4 824.125 1 9.96875 9
Hawesl 5 9 56.265625 0 3.296875 2
lanconelli 8 3 8.125 1 5.5 2
raksanyi 8 3 1.375 1 5.40625 2
spatburme1 6 2 8.5 1 4.6875 2
vor2 5 18 951.796875 0 4.203125 3
example1 3 4 11.25 0 1.640625 1
example1_pert 3 4 10.875 0 0.6875 1
example2 3 2 0.75 1 1.625 1
example2_pert 3 2 0.78125 1 1.53125 2
example3 3 2 4.09375 1 0.609375 1
example3_pert 3 2 1.625 1 0.625 1
example4 2 5 0.96875 1 0.359375 1
example4_pert 2 5 2.625 1 1.375 4
example5 3 5 5.453125 1 0.671875 4
example5_pert 3 5 5.453125 0 0.6875 5
example6 2 8 71.375 0 0.5 5
example6_pert 2 8 1763.046875 1 1.078125 5
assur44 8 3 17968.859375 2 0.48438 10
chandra4 4 2 0.921875 1 0.17188 8
chandra5 5 2 1.000000 1 0.20313 16
chandra6 6 2 2.468750 1 0.39063 31
chemkin 10 2 78.875000 1 0.687500 4
cyclic9 9 9 248.265625 0 18.2813 234
cyclic10 10 10 1058.812500 0 80.9219 680
cyclic11 11 11 1411.890625 0 448.3125 2552
filter9 9 5 4684.125000 7 2.8594 128
game4two 4 3 320.156250 0 0.125 3
game5two 5 4 2.296875 0 0.3125 10
game6two 6 5 31.687500 0 3.1406 35
game7two 7 6 31.125000 0 27.8906 100
katsura6 7 2 0.921875 1 0.46875 24
katsura7 8 2 1.093750 1 1.0469 42
katsura8 9 2 1.281250 1 2.3125 72
katsura9 10 2 1.703125 1 136.109375 120
katsura10 11 2 1.859375 1 11.1094 198
kotsireas 6 5 8.640625 1 0.609375 10
pb601 3 6 3.906250 1 0.10938 6
pb601es 3 6 1.468750 1 0.078125 6
pb601vs 3 6 106.687500 0 0.09375 6
pltp34sys 12 4 386.421875 0 - -
pole27sys 14 2 617.046875 1 220.125 442
pole28sys 16 2 79.171875 1 1248.0313 1489
pole34sys 12 3 55.390625 1 - -
pole43sys 12 3 667.750000 1 - -
robspat 9 3 758.781250 0 0.32813 0
rps10 10 4 10.718750 1 55.4531 126
stewgou40 9 4 192.437500 2 3.7188 40
tangents0 6 2 35.703125 4 0.20313 8
tangents1 6 2 26.343750 0 0.0625 0
tangents2 6 2 37.000000 1 0.39063 24
utbikker 4 3 5.015625 1 0.23438 7