colville_func: Colville Function

In EmiR: Evolutionary Minimizer for R

Colville Function

Description

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Implementation of 4-dimensional Colville function.

Usage

colville_func(x)

Arguments

x	numeric or complex vector.

Details

On an 4-dimensional domain it is defined by

\mjdeqn

f(\vecx) = 100(x_1^2-x_2)^2+(x_1-1)^2+(x_3-1)^2+90(x_3^2-x_4)^2+10.1((x_2-1)^2+(x_4-1)^2)+19.8(x_2-1)(x_4-1),f(x) = 100(x_1^2-x_2)^2+(x_1-1)^2+(x_3-1)^2+90(x_3^2-x_4)^2+10.1((x_2-1)^2+(x_4-1)^2)+19.8(x_2-1)(x_4-1), and is usually evaluated on \mjeqnx_i \in [ -10, 10 ]x_i in [-10, 10], for all \mjeqni=1,...,4i=1,...,4. The function has one global minimum at \mjeqnf(\vecx) = 0f(x) = 0 for \mjeqn\vecx = [ 1, 1, 1, 1 ]x = [ 1, 1, 1, 1 ].

Value

The value of the function.

References

\insertRef

Grippo1989EmiR

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