power_2 module¶

A quadratic analytical problem¶

class gemseo.problems.analytical.power_2.Power2(exception_error=False)[source]¶

Power2 is a very basic quadratic analytical OptimizationProblem:

Objective to minimize: \(x_{dv,0}^2+x_1^2+x_2^2\)
Inequality constraint 1: \(x_{dv,0}^3 - 0.5 > 0\)
Inequality constraint 2: \(x_{dv,1}^3 - 0.5 > 0\)
Equality constraint: \(x_{dv,2}^3 - 0.9 = 0\)
Analytical optimum: \((0.5^{1/3}, 0.5^{1/3}, 0.9^{1/3})\)

The constructor initializes the Power2 OptimizationProblem by defining the DesignSpace, the objective function and the constraints.

Parameters: exception_error (bool) – if True, call to the objective raises errors useful for tests

static eq_constraint(x_dv)[source]¶

Compute the equality constraint.

static eq_constraint_jac(x_dv)[source]¶

Compute the equality constraint gradient.

static get_solution()[source]¶

Return analytical result of optimization.

static ineq_constraint1(x_dv)[source]¶

Compute the first inequality constraint.

static ineq_constraint1_jac(x_dv)[source]¶

Compute the first inequality constraint gradient.

static ineq_constraint2(x_dv)[source]¶

Compute the second inequality constraint.

static ineq_constraint2_jac(x_dv)[source]¶

Compute the second inequality constraint gradient.

pow2(x_dv)[source]¶

Compute the objective of analytical function.

static pow2_jac(x_dv)[source]¶

Compute the gradient of objective.