unc_nn_rosenbrock2.m

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

function [fval]=unc_nn_rosenbrock2(x)
%reference:
%note that you can get the formulation of unc_n2_rosenbrock2 from some
%aritcles,such as
%(1)Hartmut Pohlheim 'Genetic Algorithm Toolbox Test Functions'
%
%algorithm:
%below code is  edited according to 
%(1)Hartmut Pohlheim 'Genetic Algorithm Toolbox Test Functions'
%
%solution:
% where the bounds are -2.048<=x<=2.048;
%The global minimum is at x*=ones(n,1),and f(x*)= 0;
% Rosenbrock's valley is a classic optimization problem. The global optimum is inside a
% long, narrow, parabolic shaped flat valley. To find the valley is trivial, however
% convergence to the global optimum is difficult and hence this problem has been
% repeatedly used in assess the performance of optimization algorithms.

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


n=size(x,1);

suma=0;

for i=1:n-1
suma=suma+100*(x(i+1,1)-x(i,1).^2).^2+(1-x(i,1)).^2;    
end



fval=suma;