Research Article

A Novel Robust Principal Component Analysis Algorithm of Nonconvex Rank Approximation

Algorithm 1

Solve the alternating direction method of equation (32).
Input data: initial data ;
dictionary matrix;
, thresholds.
Initialization: ,,.
Output data:
Iteration steps:
(1)Update variables : according to the following formula−
(2)Update variables : according to the following formula−
(3)Update variables : according to the following formula−
(4)Stopping condition:
Repeat Steps 1–3; otherwise, stop iteration and return to ,.