A comment on some recent results concerning the reverse order law for \(\{ 1, 3, 4 \}\)-inverses

DOI10.1016/j.amc.2010.05.013zbMath1204.15012OpenAlexW2053015331MaRDI QIDQ708139

Dragana S. Cvetković-Ilić, Vladimir Pavlović

Publication date: 11 October 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.013

zbMATH Keywords

generalized inverseMoore-Penrose inversereverse order law

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Hartwig’s triple reverse order law in C*-algebras, Improvements on the reverse order laws, Reverse order laws for the weighted generalized inverses, Algebraic proof methods for identities of matrices and operators: improvements of Hartwig's triple reverse order law, Reverse order laws for the Drazin inverses, Reverse order laws for reflexive generalized inverse of operators, Reverse order law for the group inverses, Reverse order law for the core inverse in rings, Unnamed Item, Reverse order laws for Hirano inverses in rings, On the mixed-type generalized inverses of the products of two operators

Cites Work

• The reverse order law for \(\{1, 3, 4\}\)-inverse of the product of two matrices
• Reverse order law for the Moore-Penrose inverse
• The reverse order law revisited
• Reverse order laws for the generalized inverses of multiple matrix products
• Generalized inverses. Theory and applications.
• An invariance property related to the reverse order law
• Further Results on the Reverse Order Law for Generalized Inverses
• Inverse Order Rule for Weighted Generalized Inverse
• Note on the Generalized Inverse of a Matrix Product
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