PEM-PCA: A Parallel Expectation-Maximization PCA Face Recognition Architecture

Algorithm 6

Proposed parallel matrix orthogonalization computation.

Input:  Matrix  a

Output:  Matrix  q

(1)  for  j  from  1  to  n

(2)   𝑣̃_𝑗=𝑎_𝑗

(3)  parallel  for  i  from  1  to  (j-1)

(4)    𝑟_𝑖𝑗=𝑞_𝑖×𝑣_𝑗

(5)    Rewrite  Vectors: 𝑣_𝑗=𝑣_𝑗−𝑟_𝑖𝑗𝑞_𝑖

(6)  endfor

(7)  Normalize  vector: 𝑟_𝑗𝑗=𝑣̃_𝑗2

(8)  Rewrite  Remaining  Vectors: 𝑞_𝑗=𝑣̃_𝑗/𝑟_𝑗𝑗

(9)  endfor