论文信息 - Reverse order law for reflexive generalized inverses of products of matrices

Reverse order law for reflexive generalized inverses of products of matrices

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. By applying the product singular value decomposition (P-SVD), in this paper we derive equivalent conditions for B {1, 2} A {1, 2} ⊆ ( AB ){1, 2}, ( AB ){1, 2} ⊆ B {1, 2} A {1, 2}, B {1, 2} A {1, 2} = ( AB ){1, 2}, and equivalent conditions for ( AB ){1} ⊆ B {1} A {1}.

Alvaro R. De Pierro | Musheng Wei | A. Pierro | M. Wei | A. R. Pierro

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