Test Functions

                      for Unconstrained Global Optimization

Sphere Function

 

r Number of variables: n variables.

r Definition:

 

 

r Search domain: −5.12 ≤ x_i ≤ 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.