minex.py

#!/usr/bin/python

from gurobipy import *

m = Model("minex")
x = m.addVar(name="x", vtype=GRB.CONTINUOUS, lb=0.0)
y = m.addVar(name="y", vtype=GRB.CONTINUOUS, lb=0.0)
m.setObjective(0.0 * x, GRB.MINIMIZE)
m.addConstr(y >= 2, "c0")
m.addConstr(x <= 1, "c1")
m.addQConstr(y*y <= x*x, "c2")
m.optimize()

print(gurobipy.gurobi.version())
print(m.status)

output752

Academic license - for non-commercial use only
Optimize a model with 2 rows, 2 columns and 2 nonzeros
Model has 1 quadratic constraint
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  QMatrix range    [1e+00, 1e+00]
  Objective range  [0e+00, 0e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 2e+00]
Presolve removed 2 rows and 0 columns
Presolve time: 0.00s

Barrier solved model in 0 iterations and 0.00 seconds
Model is infeasible
(7, 5, 2)
3

output800

Academic license - for non-commercial use only
Optimize a model with 2 rows, 2 columns and 2 nonzeros
Model has 1 quadratic constraint
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  QMatrix range    [1e+00, 1e+00]
  Objective range  [0e+00, 0e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 2e+00]
Presolve removed 2 rows and 2 columns
Presolve time: 0.00s
Presolve: All rows and columns removed

Barrier solved model in 0 iterations and 0.00 seconds
Optimal objective 0.00000000e+00
(8, 0, 0)
13
Freed default Gurobi environment