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Table 1:
Summary of Main Notations.
NotationsMeanings
Capital letter A matrix 
m, n Size of the data matrix M 
,  ,  
 Natural logarithm 
I, ,  The identity matrix, all-zero matrix, and all-one vector 
ei Vector whose ith entry is 1 and others are 0 
 The jth column of matrix M 
Mij The entry at the ith row and jth column of matrix M 
MT Transpose of matrix M 
 Moore-Penrose pseudo-inverse of matrix M 
 ,  
 Euclidean norm for a vector,  
 Nuclear norm of a matrix (the sum of its singular values) 
  norm of a matrix (the number of nonzero entries) 
  norm of a matrix (the number of nonzero columns) 
  norm of a matrix,  
  norm of a matrix,  
  norm of a matrix,  
  norm of a matrix,  
 Frobenius norm of a matrix,  
 Matrix operator norm, the largest singular value of a matrix 
NotationsMeanings
Capital letter A matrix 
m, n Size of the data matrix M 
,  ,  
 Natural logarithm 
I, ,  The identity matrix, all-zero matrix, and all-one vector 
ei Vector whose ith entry is 1 and others are 0 
 The jth column of matrix M 
Mij The entry at the ith row and jth column of matrix M 
MT Transpose of matrix M 
 Moore-Penrose pseudo-inverse of matrix M 
 ,  
 Euclidean norm for a vector,  
 Nuclear norm of a matrix (the sum of its singular values) 
  norm of a matrix (the number of nonzero entries) 
  norm of a matrix (the number of nonzero columns) 
  norm of a matrix,  
  norm of a matrix,  
  norm of a matrix,  
  norm of a matrix,  
 Frobenius norm of a matrix,  
 Matrix operator norm, the largest singular value of a matrix 
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