A note on Cline’s formula for the generalized Drazin inverse

DOI10.1080/03081087.2014.922965zbMath1327.46046OpenAlexW2087347020MaRDI QIDQ5175382

Dijana Mosić

Publication date: 20 February 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2014.922965

zbMATH Keywords

generalized Drazin inverseCline's formulaDrazin index

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General theory of topological algebras (46H05)

Related Items (13)

CHARACTERIZATIONS OF ANNIHILATOR (b, c)-INVERSES IN ARBITRARY RINGS ⋮ Unnamed Item ⋮ The generalized inverses of the products of two elements in a ring ⋮ The g-Drazin inverses of anti-triangular block operator matrices ⋮ Properties of generalized strongly Drazin invertible elements in general rings ⋮ Generalized Drazin invertibility of the product and sum of two elements in a Banach algebra and its applications ⋮ Weak inverses of products — Cline’s formula meets Jacobson lemma ⋮ On the pseudo drazin inverse of the sum of two elements in a Banach algebra ⋮ The generalized and pseudo n-strong Drazin inverses in rings ⋮ Extended \(g\)-Drazin inverse in a Banach algebra ⋮ On Jacobson's lemma and Cline's formula for Drazin inverses ⋮ Some results on the symmetric representation of the generalized Drazin inverse in a Banach algebra ⋮ Extension of generalized strong Drazin inverse

Cites Work

• A note on the Drazin inverse of an anti-triangular matrix
• Some additive results on Drazin inverses
• The \((2,2,0)\) Drazin inverse problem
• Representations of the Drazin inverse for a class of block matrices
• Pseudo-Inverses in Associative Rings and Semigroups
• A generalized Drazin inverse

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