def METHOD_NAME(self, x0=None):
    """
    Solve the GeometryOptimisationProblem.
    """
    self._objective._args["parameterisation"] = self._parameterisation
    if x0 is None:
        x0 = self._parameterisation.variables.get_normalised_values()
    x_star = self.opt.METHOD_NAME(x0)
    return self.update_parameterisation(x_star)