Test Functions

                      for Unconstrained Global Optimization

Hartmann Functions

Function H_3,4

r Number of variables: n = 3.

r Definition:

 

 

 

 

 

 

r Search domain: 0 < x_i < 1, i = 1, 2, 3.

r Number of local minima: 4 local minima.

r The global minima: x^* =  (0.114614, 0.555649, 0.852547),

                                       f(x^*) = - 3.86278.

r MATLAB Code: download hart3.m

 

Function H_6,4

r Number of variables: n = 6.

r Definition:

 

 

 

 

 

 

 

 

 

 

r Search domain: 0 < x_i < 1, i = 1, 2, . . . , 6.

r Number of local minima: 6 local minima.

r The global minima: x^* =  (0.20169, 0.150011, 0.476874, 0.275332, 0.311652, 0.6573), f(x^*) = - 3.32237.

r MATLAB Code: download hart6.m