Abstract
The relationships between generalized inverses of the product of two matrices A, B and the product of generalized inverses of A, B have been studied in the literature, and equivalent conditions for B{1} A{1} ⊆ ( AB){1} have been reported. By applying the product singular value decomposition, we derive more equivalent conditions for B{1} A{1} ⊆ ( AB){1}, and derive equivalent conditions for B{1} A{1} = ( AB){1}.
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