The reverse order laws for \(\{1,2,3\}\) - and \(\{1,2,4\}\) -inverses of a two-matrix product
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Publication:998564
DOI10.1016/j.aml.2007.07.007zbMath1152.15301OpenAlexW2007972983MaRDI QIDQ998564
Publication date: 29 January 2009
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2007.07.007
Related Items (25)
The least squaresg-inverses for sum of matrices ⋮ Further results on the reverse order law for \(\{1,3\}\)-inverse and \(\{1,4\}\)-inverse of a matrix product ⋮ Improvements on the reverse order laws ⋮ Reverse order laws in \(C^{*}\)-algebras ⋮ On the inverse of a special Schur complement ⋮ Mixed-type reverse-order laws for \(\{1, 3, 4\}\)-generalized inverses over Hilbert spaces ⋮ Reverse order laws for the weighted generalized inverses ⋮ Reverse order laws for \(\{1,2,3\}\)-generalized inverses ⋮ Extremal ranks of some nonlinear matrix expressions with applications ⋮ Applications of completions of operator matrices to reverse order law for \(\{1\}\)-inverses of operators on Hilbert spaces ⋮ Unnamed Item ⋮ Reverse order laws for reflexive generalized inverse of operators ⋮ Mixed-type reverse-order laws for the generalized inverses of an operator product ⋮ The reverse order laws for {1, 2, 3}- and {1, 2, 4}-inverses of multiple matrix products ⋮ Mixed-type reverse-order laws of \((AB)^{(1,2,3)}\) and \((AB)^{(1,2,4)}\) ⋮ Some results on partial ordering and reverse order law of elements of \(C^{*}\)-algebras ⋮ The forward order laws for \(\{1,2,3\}\)- and \(\{1,2,4\}\)-inverses of multiple matrix products ⋮ Various solutions to reverse order law problems ⋮ On the Drazin inverse and M-P inverse for sum of matrices ⋮ An invariance property related to the mixed-type reverse order laws ⋮ The mixed-type reverse order laws for weighted generalized inverses of a triple matrix product ⋮ New results on reverse order law for $\{1,2,3\}$- and $\{1,2,4\}$-inverses of bounded operators ⋮ The forward order laws for {1,2,3}- and {1,2,4}-inverses of a three matrix products ⋮ Reverse order laws for Hirano inverses in rings ⋮ On the mixed-type generalized inverses of the products of two operators
Cites Work
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- Reverse order law of group inverses of products of two matrices
- Reverse order law for reflexive generalized inverses of products of matrices
- Reverse order laws for the generalized inverses of multiple matrix products
- Reverse order laws for least squares \(g\)-inverses and minimum norm \(g\)-inverses of products of two matrices
- Equivalent conditions for generalized inverses of products
- Reverse order laws for generalized inverses of multiple matrix products
- More on maximal and minimal ranks of Schur complements with applications
- Inverse Order Rule for Weighted Generalized Inverse
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