unc_nn_dpower.m

matlab最优化理论的实现

function [fval]=unc_nn_dpower(x)
%reference:
%note that you can get the formulation of unc_nn_dpower 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 -1<=x<=1;
%The global minimum is at x*=zeros(n,1),and f(x*)=0;
%there are many minimia;
%The sum of different powers is a commonly used unimodal test function.

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

n=size(x,1);
suma=0;
for i=1:n
   suma=suma+power(abs(x(i,1)),i+1);
end

fval=suma;