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% Filename: fphamilton.m
% Author: Andy Qi
% Date: December 2008
% Corresponds to: Listing 4.6
pH = [0.971,0.029,0.000; % Hamilton's kernel
0.145,0.778,0.077;
0.000,0.508,0.492];
I = eye(3); % 3 by 3 identity matrix
Q = ones(3); % Matrix of ones
b = ones(3,1); % Vector of ones
A = transpose(I - pH + Q);
solution = A \ b;