% svmexample.m 
% use optimization tool box solve the svm example in lecture notes
% (C) 2008 by Yu Hen Hu
% created: July 29, 2008
% 
% objective function:
% f(x) = x1+x2+x3-(0.5*x1^2+2*x2^2+4.5*x3^2-2*x1*x2-3*x1*x3+6*x2*x3)
% the function mfile name = svmexample_f.m
% equality constraint: Aeq x = beq
% Aeq = [-1 1 1], beq=0:   -x1+x2+x3 = 0
% bound 0<= x(i) < inf

clear all; close all;

Aeq = [-1 1 1]; beq=0;          % -x1+x2+x3 = 0
LB=[0; 0; 0];
UB=[inf; inf; inf];
x0=[0.1; 0.1; 0.1];

x = fmincon(@svmexample_f,x0,[],[],Aeq,beq,LB,UB);

disp('x =')
disp(x)