The singular value decomposition of a matrix is used to derive systematically the Moore-Penrose inverse for a matrix bordered by a row and a column, in addition to the Moore-Penrose inverse for the ...
We present deviation inequalities of random operators of the form $N^{-1}\sum_{i=1}^{N}X_{i}\otimes X_{i}$ from the average operator ${\Bbb E}(X\otimes X)$, where $X ...
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