The weighted Drazin inverse of perturbed matrices with related support idempotents

DOI10.1016/j.amc.2006.08.154zbMath1122.15006OpenAlexW2137081207MaRDI QIDQ883876

J. Y. Vélez-Cerrada, Nieves Castro-González

Publication date: 12 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.154

zbMATH Keywords

Linear systemsPerturbationW-weighted Drazin inverseSupport idempotent

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (11)

Weighted binary relations involving the Drazin inverse ⋮ A note on the perturbation bounds of W-weighted Drazin inverse ⋮ The CMP inverse for rectangular matrices ⋮ Weighted G-Drazin inverses and a new pre-order on rectangular matrices ⋮ \(W\)-MPD-\(N\)-DMP-solutions of constrained quaternion matrix equations ⋮ Representations and properties of theW-Weighted Drazin inverse ⋮ Recurrent neural network for computing the \(W\)-weighted Drazin inverse ⋮ Weighted pre-orders involving the generalized Drazin inverse ⋮ Additive results for the Wg-Drazin inverse ⋮ Representation for the \(W\)-weighted Drazin inverse of linear operators ⋮ A note on the perturbation bounds of W-weighted Drazin inverse of linear operator in Banach space

Cites Work

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• A characterization for the \(W\)-weighted Drazin inverse and a Cramer rule for the \(W\)-weighted Drazin inverse solution
• Generalized inverses. Theory and applications.
• Elements of rings with equal spectral idempotents
• Error Bounds for Perturbation of the Drazin Inverse of Closed Operators with Equal Spectral Projections

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