|
|
|
Classification
|
N. of Variables
|
N. of Cons
|
N. of Linear Cons
|
N. of Non-Linear Cons
|
|
|
N. of known solutions
|
|
1
|
CPR2-ANI-8-1
|
8
|
1
|
0
|
1
|
|
|||
|
2
|
CPR2-ANI-8-4
|
8
|
4
|
3
|
1
|
|
|||
|
3
|
CPR2-ANI-100-1
|
100
|
1
|
0
|
1
|
|
|||
|
4
|
CPR2-ANI-12-3
|
12
|
3
|
2
|
1
|
|
|||
|
5
|
CPR2-ANI-2-1
|
2
|
1
|
0
|
1
|
|
|||
|
|
CPR2-ANI-3-3
|
3
|
3
|
0
|
3
|
|
|||
|
|
CPR2-ANI-29-29
|
29
|
29
|
10
|
19
|
|
|
||
|
|
Neurofysiology, posted by Sjirk Boon |
CPR2-ANI-6-6
|
6
|
6
|
0
|
6
|
|
|
|
|
|
|
|
|
|
|
|
|
||
|
|
CPR2-ANI-10-10
|
10
|
10
|
0
|
10
|
|
|||
|
|
CPR2-ANI-1280-1280
|
1280
|
1280
|
0
|
1280
|
|
|
||
|
|
CPR2-ANI-160-160
|
160
|
160
|
0
|
160
|
|
|
||
|
|
CPR2-ANI-20-20
|
20
|
20
|
0
|
20
|
|
|||
|
|
CPR2-ANI-320-320
|
320
|
320
|
0
|
320
|
|
|
||
|
|
CPR2-ANI-40-40
|
40
|
40
|
0
|
40
|
|
|
||
|
|
CPR2-ANI-5120-5120
|
5120
|
5120
|
0
|
5120
|
|
|
||
|
|
CPR2-ANI-640-640
|
640
|
640
|
0
|
640
|
|
|
||
|
|
CPR2-ANI-80-80
|
80
|
80
|
0
|
80
|
|
infeasible problem or bad starting guess
|
||
|
|
Butcher's problem, from PoSSo test suite |
CPR2-ANI-7-7
|
7
|
7
|
0
|
7
|
|
infeasible problem or bad starting guess
|
|
|
|
8-variable version of Butcher's problem |
CPR2-ANI-8-8
|
8
|
8
|
1
|
7
|
|
||
|
|
C. Jansson and O. Knueppel (1992) |
|
|
|
|
|
|
|
|
|
|
The system caprasse of the PoSSo test suite |
CPR2-ANI-4-4
|
4
|
4
|
0
|
4
|
|
infeasible problem or bad starting guess
|
|
|
|
The system of Pierrette Cassou-Nogues |
CPR2-ANI-4-4
|
4
|
4
|
0
|
4
|
|
infeasible problem or bad starting guess
|
|
|
|
Chemical equilibrium of hydrocarbon combustion |
CPR2-ANI-5-5
|
5
|
5
|
0
|
5
|
|
infeasible problem or bad starting guess
|
|
|
|
Chemical Equilibrium System |
CPR2-ANI-3-3
|
3
|
3
|
0
|
3
|
|
infeasible problem or bad starting guess
|
|
|
|
Cohn2, modular equations for special algebraic number fields |
CPR2-ANI-4-4
|
4
|
4
|
0
|
4
|
|
||
|
|
Cohn3, modular equations for special algebraic number fields |
CPR2-ANI-4-4
|
4
|
4
|
0
|
4
|
|
||
|
|
Model A combustion chemistry example for a temparature of 3000 deg |
CPR2-ANI-10-10
|
10
|
10
|
4
|
6
|
|
||
|
|
Combustion problem for a temperature of 3000 degrees |
CPR2-ANI-10-10
|
10
|
10
|
4
|
6
|
|
||
|
|
Conformal analysis of cyclic molecules, first instance |
CPR2-ANI-3-3
|
3
|
3
|
0
|
3
|
|
infeasible problem or bad starting guess
|
|
|
|
5-dimensional system of Caprasse and Demaret |
CPR2-ANI-5-5
|
5
|
5
|
0
|
5
|
|
||
|
|
CPR2-ANI-2-2
|
2
|
2
|
0
|
2
|
|
|||
|
|
Cyclic 5-roots problem |
CPR2-ANI-5-5
|
5
|
5
|
1
|
4
|
|
infeasible problem or bad starting guess
|
|
|
|
Cyclic 6-roots problem |
CPR2-ANI-6-6
|
6
|
6
|
1
|
5
|
|
infeasible problem or bad starting guess
|
|
|
|
Cyclic 7-roots problem |
CPR2-ANI-7-7
|
7
|
7
|
1
|
6
|
|
infeasible problem or bad starting guess
|
|
|
|
Cyclic 8-roots problem |
CPR2-ANI-8-8
|
8
|
8
|
1
|
7
|
|
infeasible problem or bad starting guess
|
|
|
|
A sparse system, known as benchmark D1 |
CPR2-ANI-12-12
|
12
|
12
|
1
|
11
|
|
infeasible problem or bad starting guess
|
|
|
|
A "dessin d'enfant", called des18_3 |
CPR2-ANI-8-8
|
8
|
8
|
2
|
6
|
|
too many major
iterations
|
|
|
|
A "dessin d'enfant", called des22_24 |
CPR2-ANI-10-10
|
10
|
10
|
2
|
8
|
|
||
|
|
Heart-dipole problem |
CPR2-ANI-10-10
|
10
|
10
|
2
|
8
|
|
|
|
|
|
4-dimensional economics problem |
CPR2-ANI-4-4
|
4
|
4
|
1
|
3
|
|
||
|
|
5-dimensional economics problem |
CPR2-ANI-5-5
|
5
|
5
|
1
|
4
|
|
|
|
|
|
6-dimensional economics problem |
CPR2-ANI-6-6
|
6
|
6
|
1
|
5
|
|
||
|
|
7-dimensional economics problem |
CPRR2-ANI-7-7
|
7
|
7
|
1
|
6
|
|
||
|
|
8-dimensional economics problem |
CPR2-ANI-8-8
|
8
|
8
|
1
|
7
|
|
too many major
iterations
|
|
|
|
Camera displacement between two positions, scaled first frame |
CPR2-ANI-6-6
|
6
|
6
|
0
|
6
|
|
unbounded problem
|
|
|
|
"Noncongruence Subgroups, Covers
and Drawings" B. Birch (1994) |
CPR2-ANI-7-7
|
7
|
7
|
2
|
5
|
|
too many major
iterations
|
|
|
|
"Noncongruence Subgroups, Covers
and Drawings" B. Birch (1994) |
CPR2-ANI-10-12
|
10
|
12
|
4
|
8
|
|
||
|
|
CPR2-ANI-1-1
|
1
|
1
|
0
|
1
|
|
|||
|
|
Extended cyclic 5-roots problem, to exploit the symmetry |
CPR2-ANI-6-5
|
6
|
5
|
1
|
4
|
|
|
|
|
|
Extended cyclic 6-roots problem, to exploit the symmetry |
CPR2-ANI-6-6
|
6
|
6
|
1
|
5
|
|
|
|
|
|
Extended cyclic 7-roots problem, to exploit the symmetry |
CPR2-ANI-8-7
|
8
|
7
|
1
|
6
|
|
|
|
|
|
Extended cyclic 8-roots problem, to exploit the symmetry |
CPR2-ANI-9-7
|
9
|
8
|
1
|
7
|
|
|
|
|
|
A four-bar design problem, so-called 5-point problem |
CPR2-ANI-4-4
|
4
|
4
|
0
|
4
|
|
||
|
|
CPR2-ANI-6-8
|
6
|
8
|
3
|
5
|
|
|
||
|
|
CPR2-ANI-2-2
|
2
|
2
|
0
|
2
|
|
|||
|
|
Generalized eigenvalue problem |
CPR2-ANI-6-6
|
6
|
6
|
1
|
6
|
|
||
|
|
C. Jansson and O. Knueppel (1992) |
|
|
|
|
|
|
|
|
|
|
Griewank and Osborne's system |
CPR2-ANI-2-2
|
2
|
2
|
0
|
2
|
|
||
|
|
CPR2-ANI-7-5
|
7
|
5
|
0
|
5
|
|
|||
|
|
CPR2-ANI-5-4
|
5
|
4
|
0
|
4
|
|
infeasible problem or bad starting guess
|
||
|
|
CPR2-ANI-5-4
|
5
|
4
|
0
|
4
|
|
|
||
|
|
CPR2-ANI-5-4
|
5
|
4
|
0
|
4
|
|
|
||
|
|
CPR2.ANI-5-4
|
5
|
4
|
0
|
4
|
|
|
||
|
|
CPR2-AYI-5-16
|
|
|
|
|
|
|
||
|
|
CPR2-ANI-2-2
|
2
|
2
|
1
|
1
|
|
|||
|
|
Heart-dipole problem |
CPR2-ANI-8-8
|
8
|
8
|
2
|
6
|
|
|
|
|
|
Test Examples for Nonlinear Programming
Codes W. Hock and K. Schittkowski (1981) |
CPR2-ANI-2-4
|
2
|
4
|
1
|
3
|
|
||
|
|
Benchmark i1 from the Interval Arithmetic Benchmarks |
CPR2-ANI-10-10
|
10
|
10
|
0
|
10
|
|
||
|
|
Traditionnal interval benchmark
Pascal et al. (1997) |
CPR2-ANI-10-10
|
10
|
10
|
0
|
10
|
|
||
|
|
Traditionnal interval benchmark
Pascal et al. (1997) |
CPR2-ANI-10-10
|
10
|
10
|
0
|
10
|
|
|
|
|
|
Traditionnal interval benchmark
Pascal et al. (1997) |
CPR2-ANI-10-10
|
10
|
10
|
0
|
10
|
|
||
|
|
CPR2-ANI-4-5
|
4
|
5
|
1
|
4
|
|
|||
|
|
CPR2-ANI-3-3
|
3
|
3
|
0
|
3
|
|
|
||
|
|
CPR2-ANI-2-2
|
2
|
2
|
1
|
1
|
|
|||
|
|
Kinematics problem |
CPR2-ANI-12-12
|
12
|
12
|
1
|
11
|
|
|
|
|
|
CPR2-ANI-10-5
|
10
|
5
|
1
|
4
|
|
|||
|
|
CPR2-ANI-3-3
|
3
|
3
|
0
|
3
|
|
|
||
|
|
CPR2-ANI-10-10
|
10
|
10
|
0
|
10
|
|
|||
|
|
CPR2-ANI-20-20
|
20
|
20
|
0
|
20
|
|
|||
|
|
CPR2-ANI-40-40
|
40
|
40
|
0
|
40
|
|
|||
|
|
CPR2-ANI-80-80
|
80
|
80
|
0
|
80
|
|
|||
|
|
CPR2-ANI-31-32
|
31
|
32
|
12
|
20
|
|
|||
|
|
CPR2-ANI-481-482
|
481
|
482
|
162
|
320
|
|
|
||
|
|
CPR2-ANI-61-62
|
61
|
62
|
22
|
40
|
|
|||
|
|
CPR2-ANI-121-122
|
121
|
122
|
42
|
80
|
|
|||
|
|
CPR2-ANI-241-242
|
241
|
242
|
82
|
160
|
|
|||
|
|
Test de Posso |
CPR2-ANI-6-6
|
6
|
6
|
0
|
6
|
|
|
|
|
|
Neurophysiology Pascal et al. (1997) |
CPR2-ANI-6-9
|
6
|
9
|
4
|
5
|
|
|
|
|
|
CPR2-ANI-12-7
|
12
|
7
|
1
|
6
|
|
infeasible problem or bad starting guess
|
||
|
|
A neural network modeled by an adaptive Lotka-Volterra system, n=3 |
CPR2-ANI-3-3
|
3
|
3
|
0
|
3
|
|
||
|
|
A neural network modeled by an adaptive Lotka-Volterra system, n=4 |
CPR2-ANI-4-4
|
4
|
4
|
0
|
4
|
|
|
|
|
|
A neural network modeled by an adaptive Lotka-Volterra system, n=5 |
CPR2-ANI-5-5
|
5
|
5
|
0
|
5
|
|
||
|
|
CPR2-ANI-9-9
|
9
|
9
|
5
|
4
|
|
|
||
|
|
System with a product-decomposition structure |
CPR2-ANI-4-4
|
4
|
4
|
0
|
4
|
|
||
|
97
|
M. J. D. Powell (1962) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Gaussian quadrature formula with 2 knots and 2 weights over [-1,+1] |
CPR2-ANI-4-6
|
4
|
6
|
2
|
4
|
|
|
|
|
|
Gaussian quadrature formula with 2 knots and 2 weights over [-1,+1] |
CPR2-ANI-4-4
|
4
|
4
|
1
|
3
|
|
|
|
|
|
Interpolating quadrature formula for function defined on a grid |
CPR2-ANI-4-5
|
4
|
5
|
1
|
4
|
|
||
|
|
Optimal multi-dimensional quadrature formulas |
CPR2-ANI-16-16
|
16
|
16
|
2
|
14
|
|
unbounded problem
|
|
|
|
Optimal multi-dimensional quadrature formulas |
CPR2-ANI-9-9
|
9
|
9
|
1
|
8
|
|
unbounded problem
|
|
|
|
Parallel robot, the so-called left-hand problem |
CPR2-ANI-6-6
|
6
|
6
|
0
|
6
|
|
||
|
|
Parallel robot with 24 real solutions |
CPR2-ANI-9-9
|
9
|
9
|
1
|
9
|
|
|
|
|
|
Reduced cyclic 5-roots problem |
CPR2-ANI-4-4
|
4
|
4
|
1
|
3
|
|
||
|
|
Reduced cyclic 6-roots problem |
CPR2-ANI-5-5
|
5
|
5
|
1
|
4
|
|
||
|
|
Reduced cyclic 7-roots problem |
CPR2-ANI-6-6
|
6
|
6
|
1
|
5
|
|
||
|
|
Reduced cyclic 8-roots problem |
CPR2-ANI-7-7
|
7
|
7
|
1
|
6
|
|
||
|
|
The 2-dimensional system of Reimer |
CPR2-ANI-2-2
|
2
|
2
|
0
|
2
|
|
|
|
|
|
The 3-dimensional system of Reimer |
CPR2-ANI-3-3
|
3
|
3
|
0
|
3
|
|
|
|
|
|
The 4-dimensional system of Reimer |
CPR2-ANI-4-4
|
4
|
4
|
0
|
4
|
|
|
|
|
|
The 5-dimensional system of Reimer |
CPR2-ANI-5-5
|
5
|
5
|
0
|
5
|
|
|
|
|
|
Handbook of Polynomial Systems D. Bini and B. Mourrain (1996) |
CPR2-ANI-9-9
|
9
|
9
|
1
|
8
|
|
|
|
|
|
Francois Grondin |
CPR2-ANI-5-199
|
5
|
199
|
2
|
197
|
|
the current
point cannot be improved
|
|
|
|
The system sendra of the PoSSo test suite |
CPR2-ANI-2-2
|
2
|
2
|
0
|
2
|
|
|
|
|
|
Related to a filter design problem |
CPR2-ANI-9-7
|
9
|
7
|
0
|
7
|
|
|
|
|
|
The system solotarev of the PoSSo test suite |
CPR2-ANI-4-4
|
4
|
4
|
0
|
4
|
|
||
|
|
A 5-dimensional sparse symmetric polynomial system |
CPR2-ANI-5-5
|
5
|
5
|
0
|
5
|
|
|
|
|
|
System of Trinks from the PoSSo test suite |
CPR2-ANI-6-6
|
6
|
6
|
2
|
4
|
|
||
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
CPR2-ANI-10-9
|
10
|
10
|
9
|
1
|
|
the objective has not changed for the last 200 iterations
|
||
|
|
|
|
|
|
|
|
|
|
|
|
|
CPR2-ANI-1-1
|
1
|
1
|
0
|
1
|
|
|
||
|
|
Polynomial Algorithms in Computer
Algebra F. Winkler (1996) |
CPR2-ANI-3-3
|
3
|
3
|
0
|
3
|
|
|
|
|
|
System derived from optimizing the Wood function |
CPR2-ANI-4-4
|
4
|
4
|
0
|
4
|
|
||
|
|
CPR2-ANI-3-3
|
3
|
3
|
1
|
2
|
|