GRBModel::addQConstr()

Add a quadratic constraint to a model. Multiple signatures are available.

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:

$$x^TQx + q^Tx \le b$$ , where Q is Positive Semi-Definite (PSD)
$$x^Tx \le y^{2}$$ , whereis a vector of variables, andis a non-negative variable (a Second-Order Cone)
$$x^Tx \le y z$$ , whereis a vector of variables, andandare non-negative variables (a rotated Second-Order Cone)

If you add a constraint that isn't in one of these forms (and Gurobi presolve is unable to transform the constraint into one of these forms), you'll get an error when you try to solve the model. Constraints where the quadratic terms only involve binary variables will always be transformed into one of these forms.

GRBQConstr	addQConstr(	const GRBQuadExpr&	lhsExpr,
		char	sense,
		const GRBQuadExpr&	rhsExpr,
		string	name="" )

Arguments:

lhsExpr: Left-hand side expression for new quadratic constraint.

sense: Sense for new quadratic constraint (GRB_LESS_EQUALorGRB_GREATER_EQUAL).

rhsExpr: Right-hand side expression for new quadratic constraint.

name (optional): Name for new constraint.

Return value:

New quadratic constraint object.

GRBQConstr	addQConstr(	const GRBQuadExpr&	lhsExpr,
		char	sense,
		GRBVar	rhsVar,
		string	name="" )

Arguments:

lhsExpr: Left-hand side expression for new quadratic constraint.

sense: Sense for new quadratic constraint (GRB_LESS_EQUALorGRB_GREATER_EQUAL).

rhsVar: Right-hand side variable for new quadratic constraint.

name (optional): Name for new constraint.

Return value:

New quadratic constraint object.

GRBQConstr	addQConstr(	GRBTempConstr&	tc,
		string	name="" )

Arguments:

tc: Temporary constraint object, created using an overloaded comparison operator. SeeGRBTempConstrfor more information.

name (optional): Name for new constraint.

Return value:

New quadratic constraint object.