Test Functions

for Unconstrained Global Optimization

Sphere Function

 

r Number of variables: n variables.

r Definition:

 

r Search domain: 5.12 xi 5.12, i = 1, 2, . . . , n.

r Number of local minima: no local minimum except the global one.

r The global minima: x* = (0, , 0), f(x*) = 0.

r MATLAB Code: download sphere.m

r Function graph: for n = 2.

GO Test Problems