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EmiR (version 1.0.4)

miele_cantrell_func: Miele Cantrell Function

Description

Implementation of 4-dimensional Miele Cantrell Function.

Usage

miele_cantrell_func(x)

Value

The value of the function.

Arguments

x

numeric or complex vector.

Details

On an 4-dimensional domain it is defined by

f(x) = (e^-x_1 - x_2 )^4 + 100(x_2 - x_3)^6 + ((x_3 - x_4))^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 x_i [ -2, 2 ]x_i in [ -2, 2 ], for all i=1,...,4i=1,...,4. The function has one global minimum at f(x) = 0f(x) = 0 for x = [ 0, 1, 1, 1 ]x = [ 0, 1, 1, 1 ].

References

cragg1969studyEmiR