bohachevsky_func {EmiR}

Bohachevsky Function

Description

Implementation of 2-dimensional Bohachevsky function.

Usage

bohachevsky_func(x)

Arguments

x

numeric or complex vector.

Details

On an 2-dimensional domain it is defined by

\[f(\vec{x}) = x_{1}^2 + 2x_{2}^2 -0.3\cos(3\pi x_{1})-0.4\cos(4\pi x_{2})+0.7\]

and is usually evaluated on \(x_{i} \in [ -100, 100 ]\), for all \(i=1,2\). The function has one global minimum at \(f(\vec{x}) = 0\) for \(\vec{x} = [ 0, 0 ]\).

Value

The value of the function.

References

Bohachevsky IO, Johnson ME, Stein ML (1986). “Generalized simulated annealing for function optimization.” Technometrics, 28(3), 209–217.