freudenstein_roth_func {EmiR}

Freudenstein Roth Function

Description

Implementation of 2-dimensional Freudenstein Roth function.

Usage

freudenstein_roth_func(x)

Arguments

x

numeric or complex vector.

Details

On an 2-dimensional domain it is defined by

\[f(\vec{x}) = (x_{1} - 13 + ((5 - x_{2})x_{2} - 2)x_{2})^2 + (x_{1} - 29 + ((x_{2} + 1)x_{2} - 14)x_{2})^2\]

and is usually evaluated on \(x_{i} \in [ -10, 10 ]\), for all \(i=1,2\). The function has one global minimum at \(f(\vec{x}) = 0\) for \(\vec{x} = [ 5, 4 ]\).

Value

The value of the function.

References

Rao S (2019). Engineering optimization : theory and practice. John Wiley and Sons, Ltd, Hoboken, NJ, USA. ISBN 978-1-119-45479-3.