Characterizations and representations of the Drazin inverse involving idempotents

DOI10.1016/j.laa.2009.05.017zbMath1185.15004OpenAlexW4206011012MaRDI QIDQ840650

Yi-Min Wei, Chun-Yuan Deng

Publication date: 14 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.05.017

zbMATH Keywords

Drazin inverseidempotent matrixquasi-nilpotent matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (10)

Characterizations of the commutators and the anticommutator involving idempotents ⋮ On the Drazin inverse of the linear combinations of two idempotents in a complex Banach algebra ⋮ Some additive results on Drazin inverse ⋮ Acute and Stable Perturbations of the Drazin Inverse of Bounded Linear Operators in Banach Spaces ⋮ The product of operators with closed range in Hilbert \(C^{*}\)-modules ⋮ The Drazin inverses of infinite triangular matrices and their linear preservers ⋮ The representations of the Drazin inverse of differences of two matrices ⋮ A note on additive results for the Drazin inverse ⋮ The Drazin and generalized Drazin invertibility of linear combinations of idempotents ⋮ Further results on the Moore–Penrose invertibility of projectors and its applications

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