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Jun 23rd, 2017
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  1. function ov442cp3(A)
  2. [m,n] = size(A);
  3. arr = cell(1, n);
  4.  
  5. R = zeros(m,n);
  6. x = A(:,1);
  7. w = zeros(length(x), 1);
  8. w(1) = norm(x);
  9. v = w - x;
  10. P = (v*transpose(v))/(transpose(v)*v);
  11. I = eye(size(P));
  12. Z = zeros(size(P));
  13. H = I - 2*P;
  14. arr{1} = H;
  15. R = R + H*A;
  16.  
  17. for j=2:1:n
  18. x = R(j:m,j);
  19. w = zeros(length(x), 1);
  20. w(1) = norm(x);
  21. v = w - x;
  22.  
  23. Z = zeros(size(H));
  24. if(v~=0)
  25. P = (v*transpose(v))/(transpose(v)*v);
  26. Z(j:m,j:m) = P(1:size(P),1:size(P));
  27. end
  28.  
  29. H = I - (2*Z);
  30. R = cell2mat(arr(1))*A;
  31. arr{j} = H;
  32.  
  33. for i=2:1:j
  34. R = cell2mat(arr(i))*R;
  35. end
  36.  
  37. end
  38.  
  39. Q = cell2mat(arr(1));
  40.  
  41. for i=2:1:length(arr)
  42. Q = Q * cell2mat(arr(i));
  43. end
  44.  
  45. Q
  46. R
  47.  
  48. end
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