%-----------------------------------------------------
%
% Matlab script corresponding to a hill height problem.
% This differs only in calling version 3 of the least  
% squares funtion instead of versions 1 or 2.
%  
% Original data was specified as:
%
% From ground level,
%   A is measured 1236 meters high
%   B is measured 1941 meters high
%   C is measured 2417 meters high
% From A, B is 711 meters higher 
% From A, C is 1177 meters higher 
% From A, B is 475 meters higher 
%  
%
%-----------------------------------------------------

A = [ 1 0 0
      0 1 0
      0 0 1
      -1 1 0
      -1 0 1
      0 -1 1];

b = [1236; 1941; 2417; 711; 1177; 475];

[h, outlier, outlier_index] = experiment_least_squares3(A, b);