% A simple example of an LP/SDP with YALMIP/Sedumi
%
% Here, we're minimizing 
%
%    min x + 2 y
%
%   s.t.  [x 1 ]
%         [1 y ] > 0 
% 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


yalmip('clear')

% Define vars
x = sdpvar(1,1);
y = sdpvar(1,1);

% Constraints
F = set([x 1 ; 1 y]>0);

% Objective
obj = x+2*y ;

% Call solver
sol = solvesdp(F,obj);

% Solution
double([x y])