The reverse order law for the generalized inverse \(A^{(2)}_{T,S}\) over a skew field

DOI10.1016/j.amc.2011.05.010zbMath1227.15008OpenAlexW1970566006MaRDI QIDQ555445

Yaoming Yu

Publication date: 22 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.05.010

zbMATH Keywords

Drazin inverseMoore-Penrose inversegroup inverseskew fieldgeneralized inverse \(A^{(2)}_{T,S}\)reverse order law

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (1)

Developing reverse order law for the Moore-Penrose inverse with the product of three linear operators

Cites Work

• A determinantal identity for skewfields
• The reverse order law revisited
• Reverse order laws for the generalized inverses of multiple matrix products
• The reverse order law for the Drazin inverses of multiple matrix products
• The reverse order law for the generalized inverse \(A^{(2)}_{T,S}\)
• Group inverse for a class \(2\times 2\) block matrices over skew fields
• The Generalized Inverse A⁽²⁾_{T, S}of a Matrix Over an Associative Ring
• Note on the Generalized Inverse of a Matrix Product
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