Input: The sample number, mean, eigenvectors, eigenvalues of old data, , , , , the sample number and mean of  deleted samples , , .  Output: The sample number, mean, eigenvectors, eigenvalues of remained data, , , , .  (1) Update the sample number and mean, , .  (2) Compute the extra deleted sample, .  (3) Equivalent deleted data matrix, .  (4) Compute , via EVDDualdating with , and deleted data . 
