Further results on the reverse order law for \(\{1,3\}\)-inverse and \(\{1,4\}\)-inverse of a matrix product
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Publication:607954
DOI10.1155/2010/312767zbMath1207.15005OpenAlexW2088593928WikidataQ59253953 ScholiaQ59253953MaRDI QIDQ607954
Publication date: 6 December 2010
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2010/312767
matrix productgeneralized inverseMoore-Penrose inversenull spaceminimal rankg-inversereverse order lawrange space
Theory of matrix inversion and generalized inverses (15A09) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (4)
Improvements on the reverse order laws ⋮ Reverse order laws for {1, 3}-generalized inverses ⋮ Algebraic proof methods for identities of matrices and operators: improvements of Hartwig's triple reverse order law ⋮ A note on the forward order law for least square \(g\)-inverse of three matrix products
Cites Work
- The reverse order laws for \(\{1,2,3\}\) - and \(\{1,2,4\}\) -inverses of a two-matrix product
- Mixed-type reverse order law of \((AB)^{(13)}\)
- Reverse order laws for least squares \(g\)-inverses and minimum norm \(g\)-inverses of products of two matrices
- A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
- On reverse-order laws for least-squares g-inverses and minimum norm g-inverses of a matrix product
- The representation of generalized inverse \(A_{T,S}^{(2,3)}\) and its applications
- More on maximal and minimal ranks of Schur complements with applications
- Further Results on the Reverse Order Law for Generalized Inverses
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