Test Functions

                      for Unconstrained Global Optimization

Perm Functions

Function P_n,β

r Number of variables: n variables.

r Definition:

 

 

r Search domain: −n ≤ x_i ≤ n, i = 1, 2, . . . , n.

r The global minima: x^* =  (1, 2,…, n), f(x^*) = 0.

r MATLAB Code: download perm.m

r Function graph: for n = 2.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Function P⁰_n,β

r Number of variables: n variables.

r Definition:

 

 

r Search domain: −n ≤ x_i ≤ n, i = 1, 2, . . . , n.

r The global minima: x^* =  (1, 1/2,…, 1/n), f(x^*) = 0.

r MATLAB Code: download perm0.m

r Function graph: for n = 2.