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

Algorithm 3

Parallel matrix multiplication with a constant number computation.

Input:  Matrix  input,  Double  constant

Output:  Matrix  result

(1)     //  Matrix  Multiplication

(2)     parallel  for  i  from  0  to  rows

(3)    for  j  from  0  to  cols

(4)     Multiplication:  𝑟𝑒𝑠𝑢𝑙𝑡[𝑖,𝑗]=𝑖𝑛𝑝𝑢𝑡[𝑖,𝑗]×𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑐𝑒;

(5)    endfor

(6)     endfor

(7)

(8)     //Matrix  Division

(9)     parallel  for  i  from  0  to  rows

(10)    for   j  from  0  to  cols

(11)      Division:  𝑟𝑒𝑠𝑢𝑙𝑡[𝑖,𝑗]=𝑖𝑛𝑝𝑢𝑡[𝑖,𝑗]/𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑐𝑒;

(12)    endfor

(13)  endfor

(14)  return  result;