argmin_testfunctions

Function himmelblau

Source 
pub fn himmelblau<T>(param: &[T; 2]) -> T
where
    T: Float + FromPrimitive,
Expand description

Himmelblau’s test function.

Defined as

$$ f(x_1,\,x_2) = (x_1^2 + x_2 - 11)^2 + (x_1 + x_2^2 - 7)^2 $$

where $x_i \in [-5,\,5]$.

The global minima are at

  • $f(x_1,\,x_2) = f(3,\,2) = 0$.
  • $f(x_1,\,x_2) = f(-2.805118,\,3.131312) = 0$.
  • $f(x_1,\,x_2) = f(-3.779310,\,-3.283186) = 0$.
  • $f(x_1,\,x_2) = f(3.584428,\,-1.848126) = 0$.