Operators with equal projections related to their generalized inverses

DOI10.1016/S0096-3003(03)00807-5zbMath1056.47003OpenAlexW2158044560MaRDI QIDQ1883524

Dragan S. Djordjević, Yi-Min Wei

Publication date: 13 October 2004

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00807-5

zbMATH Keywords

projectionsinner generalized inversesouter and inner generalized inversesperturbations of generalized inverses

Mathematics Subject Classification ID

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

Related Items (16)

Weighted binary relations involving the Drazin inverse ⋮ Outer inverses in semigroups belonging to the prescribed Green's equivalence classes ⋮ Perturbation and expression for inner inverses in Banach spaces and its applications ⋮ Characterizations of the image-kernel (\(p,q\))-inverses ⋮ Representation of projectors involving Minkowski inverse in Minkowski space ⋮ On stable perturbations for outer inverses of linear operators in Banach spaces ⋮ Weighted outer inverse ⋮ The star partial order and the eigenprojection at 0 on EP matrices ⋮ On a partial order defined by the weighted Moore-Penrose inverse ⋮ Representations of the (b,c)-inverses in rings with involution ⋮ On the perturbation of the group generalized inverse for a class of bounded operators in Banach spaces ⋮ Condition numbers for the outer inverse and constrained singular linear system ⋮ A note on the perturbation of an outer inverse ⋮ Inner Generalized Inverses with Prescribed Idempotents ⋮ Unnamed Item ⋮ The representation and characterization of Drazin inverses of operators on a Hilbert space

Cites Work

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• Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero
• A new type of matrix splitting and its applications
• (T,S) splitting methods for computing the generalized inverse and rectangular systems^∗
• A generalized Drazin inverse
• Error Bounds for Perturbation of the Drazin Inverse of Closed Operators with Equal Spectral Projections
• On the perturbation and subproper splittings for the generalized inverse \(A_{T,S}^{(2)}\) of rectangular matrix \(A\)

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