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
Close Modal