The reverse order law \((AB)^-\) = \(B^-A^-\)
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Publication:1212059
DOI10.1016/0024-3795(74)90023-8zbMath0293.15006OpenAlexW1977345947MaRDI QIDQ1212059
Nobuo Shinozaki, Masaaki Sibuya
Publication date: 1974
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(74)90023-8
Related Items (20)
On the product of oblique projectors ⋮ Reverse order laws for least squares \(g\)-inverses and minimum norm \(g\)-inverses of products of two matrices ⋮ Pseudo-Similarity for Matrices Over a Field ⋮ Forward order law for \(g\)-inverses of the product of two matrices ⋮ On the product of projectors and generalized inverses ⋮ Further results on the reverse-order law ⋮ Miscellaneous reverse order laws for generalized inverses of matrix products with applications ⋮ The product of operators with closed range and an extension of the reverse order law ⋮ Forward order law for the generalized inverses of multiple matrix product ⋮ Reverse order law for generalized inverses of multiple operator product ⋮ A note on the reverse order law for least squareg-inverse of operator product ⋮ Reverse order law of group inverses of products of two matrices ⋮ Matrices for whichA∗andA†commute ⋮ The reverse order laws for {1, 2, 3}- and {1, 2, 4}-inverses of multiple matrix products ⋮ Mixed-type reverse order law of \((AB)^{(13)}\) ⋮ Equalities and inequalities for ranks of products of generalized inverses of two matrices and their applications ⋮ Explicit solutions to the reverse order law \((AB)^+=B^-_{mr}A^-_{lr}\) ⋮ Unnamed Item ⋮ Reverse order law for reflexive generalized inverses of products of matrices ⋮ Concise row-pruning algorithm to invert a matrix
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