miele_cantrell_func: Miele Cantrell Function

In EmiR: Evolutionary Minimizer for R

Miele Cantrell Function

Description

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Implementation of 4-dimensional Miele Cantrell Function.

Usage

miele_cantrell_func(x)

Arguments

x	numeric or complex vector.

Details

On an 4-dimensional domain it is defined by

\mjdeqn

f(\vecx) = \left(e^-x_1 - x_2 \right)^4 + 100(x_2 - x_3)^6 + \left(\tan(x_3 - x_4)\right)^4 + x_1^8f(x) = (e^-x_1 - x_2 )^4 + 100(x_2 - x_3)^6 + (tan(x_3 - x_4))^4 + x_1^8 and is usually evaluated on \mjeqnx_i \in [ -2, 2 ]x_i in [ -2, 2 ], for all \mjeqni=1,...,4i=1,...,4. The function has one global minimum at \mjeqnf(\vecx) = 0f(x) = 0 for \mjeqn\vecx = [ 0, 1, 1, 1 ]x = [ 0, 1, 1, 1 ].

Value

The value of the function.

References

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cragg1969studyEmiR

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