Add a quadratic constraint to a model.
Important note: the algorithms that Gurobi uses to solve quadratically constrained problems can only handle certain types of quadratic constraints. Constraints of the following forms are always accepted:
- , where is Positive Semi-Definite (PSD)
- , where is a vector of variables, and is a non-negative variable (a Second-Order Cone)
- , where is a vector of variables, and and are non-negative variables (a rotated Second-Order Cone)
Note that this method also accepts a TempConstr as its first argument (with the name as its second argument). This allows you to use operator overloading to create constraints. See TempConstr for more information.
sense: Sense for new quadratic constraint (GRB.LESS_EQUAL or GRB.GREATER_EQUAL).
name: Name for new constraint. Note that name will be stored as an ASCII string. Thus, a name like 'AB' will produce an error, because '' can not be represented as an ASCII character. Note also that names that contain spaces are strongly discouraged, because they can't be written to LP format files.
New quadratic constraint object.
model.addQConstr(x*x + y*y, GRB.LESS_EQUAL, z*z, "c0") model.addQConstr(x*x + y*y <= 2.0, "c1")