The absorption laws for the generalized inverses

DOI10.1016/j.amc.2012.08.049zbMath1306.47005OpenAlexW1980024583MaRDI QIDQ2250231

Xiaoji Liu, Hongwei Jin, Dragana S. Cvetković-Ilić

Publication date: 4 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.08.049

zbMATH Keywords

generalized inversesabsorption lawmixed absorption law

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

The absorption laws for the weighted core inverse in rings, Closed-form formulas for calculating the max-min ranks of a triple matrix product composed by generalized inverses, Centralizer's applications to the inverse along an element, Vanishing pseudo–Schur complements, reverse order laws, absorption laws and inheritance properties, Absorption laws and reverse order laws for generalized core inverses, Outer inverses: characterization and applications, Centralizer's applications to the \((b, c)\)-inverses in rings, Further results on hybrid (b,c)-inverses in rings

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
• Reverse order laws for the generalized inverses of multiple matrix products
• Further Results on the Reverse Order Law for Generalized Inverses
• Note on the Generalized Inverse of a Matrix Product
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