Function argmin_testfunctions::himmelblau

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

Himmelblau 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.