unc_n2_sin2.asv

it contains many classic Test Problems for Unconstrained Optimization such as camel6,treccani,goldst

function [fval]=unc_n2_sin2(x)
%reference:
%note that you can get the formulation of unc_n2_sin2 from some
%aritcles,such as
%(1)
%algorithm:
%below code is  edited according to 
%(1)
%
%solution:
% where the bounds are -10<=x1,x2<=10;
% The global minimum is at x*=X*(:,i),
% X*= [  -7.0835   -7.0835   -1.4251   -1.4251   -1.4251       4.8581    5.4829 ;
%       -1.4251   -7.7083    5.4829    -7.0835   -0.8003      -0.8003    4.8581 ]
%note that X* is the part of global minima set!
%and f(x*)=-186.7309;
%This function has about 400 minima!
%there are about 18 global minima!




%Copyright:
% programmers:oiltowater.
% It comply with the GPL2.0
% Copyright 2006  oiltowater 



a=1.42513;
b=0.80032;

if size(x,1)~=2,
    error('the row of x is 2');
end

x1=x(1,1);
x2=x(2,1);

suma=0;
for i=1:5
suma=suma+i*cos((i+1)*x1+i);
end


sumb=0;
for i=1:5
sumb=sumb+i*cos((i+1)*x2+i);
end


fval=suma*sumb;