freudenstein_roth_func: Freudenstein Roth Function

In EmiR: Evolutionary Minimizer for R

Freudenstein Roth Function

Description

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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

\mjdeqn

f(\vecx) = (x_1 - 13 + ((5 - x_2)x_2 - 2)x_2)^2 + (x_1 - 29 + ((x_2 + 1)x_2 - 14)x_2)^2f(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 \mjeqnx_i \in [ -10, 10 ]x_i in [ -10, 10 ], for all \mjeqni=1,2i=1,2. The function has one global minimum at \mjeqnf(\vecx) = 0f(x) = 0 for \mjeqn\vecx = [ 5, 4 ]x = [ 5, 4 ].

Value

The value of the function.

References

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rao2019engineeringEmiR

EmiR documentation built on Dec. 10, 2022, 1:12 a.m.