rosenbrock module¶
The Rosenbrock analytic problem¶
-
class
gemseo.problems.analytical.rosenbrock.
RosenMF
(dimension=2)[source]¶ Bases:
gemseo.core.discipline.MDODiscipline
RosenMF, a multi-fidelity Rosenbrock
MDODiscipline
, returns the value:\[\mathrm{fidelity} * \mathrm{Rosenbrock}(x)\]where both \(\mathrm{fidelity}\) and \(x\) are provided as input data.
The constructor defines the default inputs of the
MDODiscipline
, namely the default design parameter values and the fidelity.- Parameters
dimension (int) – problem dimension
-
class
gemseo.problems.analytical.rosenbrock.
Rosenbrock
(n_x=2, l_b=- 2.0, u_b=2.0, scalar_var=False, initial_guess=None)[source]¶ Bases:
gemseo.algos.opt_problem.OptimizationProblem
Rosenbrock
OptimizationProblem
uses the Rosenbrock objective function\[f(x) = \sum_{i=2}^{n_x} 100(x_{i} - x_{i-1}^2)^2 + (1 - x_{i-1})^2\]with the default
DesignSpace
\([-0.2,0.2]^{n_x}\).The constructor initializes the Rosenbrock
OptimizationProblem
by defining theDesignSpace
and the objective function.- Parameters
n_x (int) – problem dimension
l_b (float) – lower bound (common value to all variables)
u_b (float) – upper bound (common value to all variables)
scalar_var (bool) – if True the design space will contain only scalar variables (as many as the problem dimension); if False the design space will contain a single multidimensional variable (whose size equals the problem dimension)
initial_guess (numpy array) – initial guess for optimal solution