Further results on the reverse order law for \(\{1,3\}\)-inverse and \(\{1,4\}\)-inverse of a matrix product

DOI10.1155/2010/312767zbMath1207.15005OpenAlexW2088593928WikidataQ59253953 ScholiaQ59253953MaRDI QIDQ607954

Hu Yang, Deqiang Liu

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

zbMATH Keywords

matrix productgeneralized inverseMoore-Penrose inversenull spaceminimal rankg-inversereverse order lawrange space

Mathematics Subject Classification ID

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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