Hartwig’s triple reverse order law revisited

DOI10.1080/03081087.2013.794945zbMath1312.47002OpenAlexW2154128418MaRDI QIDQ2925994

Dragan S. Djordjević, Nebojša Č. Dinčić

Publication date: 29 October 2014

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2013.794945

zbMATH Keywords

Moore-Penrose inversereverse order lawtriple reverse order law

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (9)

Hartwig’s triple reverse order law in C*-algebras ⋮ Miscellaneous reverse order laws for generalized inverses of matrix products with applications ⋮ Absorption laws and reverse order laws for generalized core inverses ⋮ Algebraic proof methods for identities of matrices and operators: improvements of Hartwig's triple reverse order law ⋮ Reverse order law for generalized inverses of multiple operator product ⋮ Multiplicative perturbations of matrices and the generalized triple reverse order law for the Moore-Penrose inverse ⋮ Unnamed Item ⋮ Reverse order law for the core inverse in rings ⋮ Mixed-type reverse order law, ternary powers and functional calculus

Cites Work

• Moore-Penrose inverse in rings with involution
• Reverse order law for the Moore-Penrose inverse
• The reverse order law revisited
• The product of operators with closed range and an extension of the reverse order law
• When is \(B^ -A^ -\) a generalized inverse of \(AB\)?
• Using rank formulas to characterize equalities for Moore-Penrose inverses of matrix products.
• 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
• The Pseudo-Inverse of a Product

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