Implementation of 4-dimensional Colville function.
colville_func(x)The value of the function.
numeric or complex vector.
On an 4-dimensional domain it is defined by
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),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 x_i [ -10, 10 ]x_i in [-10, 10], for all i=1,...,4i=1,...,4. The function has one global minimum at f(x) = 0f(x) = 0 for x = [ 1, 1, 1, 1 ]x = [ 1, 1, 1, 1 ].
Grippo1989EmiR