ackley_func | R Documentation |
Implementation of n-dimensional Ackley function, with \mjeqna=20a=20, \mjeqnb=0.2b=0.2 and \mjeqnc=2\pic=2\pi (see definition below).
ackley_func(x)
x |
numeric or complex vector. |
On an n-dimensional domain it is defined by
\mjdeqnf(\vecx) = -a\exp\left(-b \sqrt\frac1n\sum_i=1^n x_i^2 \right) -\exp\left(\frac1n\sum_i=1^n \cos(cx_i) \right) + a + \exp(1),-aexp(-bsqrt(1/nsum_1^n (x_i^2)) -exp(1/nsum_1^n (\cos(c*x_i)) + a + exp(1), and is usually evaluated on \mjeqnx_i \in [ -32.768, 32.768 ]x_i in [-32.768, 32.768], for all \mjeqni=1,...,ni=1,...,n. The function has one global minimum at \mjeqnf(\vecx)=0f(x)=0 for \mjeqnx_i=0x_i=0 for all \mjeqni=1,...,ni=1,...,n.
The value of the function.
Ackley1987EmiR
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