The invention discloses a face recognition method based on non-convex low-rank 
decomposition and superposition linear sparse representation. The method comprises the following steps: 1, according to alow-rank 
matrix decomposition theory, replacing a nuclear norm with a gamma norm for low-rank 
matrix decomposition, and introducing a structure incoherent discrimination item to form discriminative non-convex low-rank 
decomposition; 2, resolving the discriminative non-convex low-rank 
decomposition, and decomposing the face sample matrix into a low-rank matrix and a 
sparse matrix; 3, decomposing the low-rank matrix into prototype dictionaries and variation dictionaries through superposition 
linear representation, and then using the two dictionaries as dictionaries for testing through linear weighting combination; and 4, solving a 
sparse coefficient of l1 norm by using a homotopy method by using a sparse representation 
algorithm, carrying out classified recognition on the face images by reconstructing a minimum sparse residual model, and classifying the face samples to be tested into a class with a minimum error, thereby realizing face recognition. According to the method, good robustness and high efficiency can be maintained under the conditions of shielding and 
noise pollution.