Further results on the reverse-order law
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Publication:599138
DOI10.1016/0024-3795(79)90027-2zbMath0414.15006OpenAlexW2039317353MaRDI QIDQ599138
Nobuo Shinozaki, Masaaki Sibuya
Publication date: 1979
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(79)90027-2
Related Items (15)
Reverse order laws for least squares \(g\)-inverses and minimum norm \(g\)-inverses of products of two matrices ⋮ Forward order law for \(g\)-inverses of the product of two matrices ⋮ On the product of projectors and generalized inverses ⋮ 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 ⋮ Applications of completions of operator matrices to reverse order law for \(\{1\}\)-inverses of operators on Hilbert spaces ⋮ Algebraic proof methods for identities of matrices and operators: improvements of Hartwig's triple reverse order law ⋮ Forward order law for the generalized inverses of multiple matrix product ⋮ Reverse order law for generalized inverses of multiple operator product ⋮ Mixed-type reverse-order laws for the generalized inverses of an operator product ⋮ Reverse order law of group inverses of products of two matrices ⋮ Mixed-type reverse order law of \((AB)^{(13)}\) ⋮ Equalities and inequalities for ranks of products of generalized inverses of two matrices and their applications ⋮ Various solutions to reverse order law problems ⋮ Reverse order law for reflexive generalized inverses of products of matrices
Cites Work
- The reverse order law \((AB)^-\) = \(B^-A^-\)
- Explicit solutions to the reverse order law \((AB)^+=B^-_{mr}A^-_{lr}\)
- Generalizations of the reverse order law with related results
- Note on the Generalized Inverse of a Matrix Product
- On the ``Reverse Order Law Related to the Generalized Inverse of Matrix Products
- An Extension of the Generalized Inverse of a Matrix
- The Pseudo-Inverse of a Product
- On Generalizations of the Reverse Order Law
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