The perturbation of the Drazin inverse and oblique projection

DOI10.1016/S0893-9659(99)00189-5zbMath0963.15003MaRDI QIDQ1588737

He-Bing Wu, Yi-Min Wei

Publication date: 4 December 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

continuityperturbationDrazin inverselower and upper boundsoblique projection

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (20)

Uniqueness of matrix \(m\)th root ⋮ The representation and perturbation of the \(W\)-weighted Drazin inverse ⋮ Acute perturbation of the group inverse ⋮ Condition number of Drazin inverse and their condition numbers of singular linear systems. ⋮ Perturbation bound of the group inverse and the generalized Schur complement in Banach algebra ⋮ Perturbation bounds for the W-weighted core-EP inverse ⋮ Comment on ``condition number of Drazin inverse and their condition numbers of singular linear systems ⋮ Acute perturbation of Drazin inverse and oblique projectors ⋮ Continuity properties of the \(\{1\}\)-inverse and perturbation bounds for the Drazin inverse ⋮ Further results on the perturbation estimations for the Drazin inverse ⋮ Comment on ``Condition number of \(W\)-weighted Drazin inverse and their condition numbers of singular linear systems ⋮ The representation and approximation for Drazin inverse ⋮ On stable perturbations of the generalized Drazin inverses of closed linear operators in Banach spaces ⋮ Perturbations of Drazin invertible operators ⋮ Bounds on condition number of a singular matrix and its applications ⋮ Structured perturbations of Drazin inverse ⋮ New perturbation bounds for the \(W\)-weighted Drazin inverse ⋮ A note on additive results for the Drazin inverse ⋮ An expression of the Drazin inverse of a perturbed matrix ⋮ Perturbation bound for the generalized Drazin inverse of an operator in Banach space

Cites Work

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• The error bound of the perturbation of the Drazin inverse
• Continuity properties of the Drazin pseudoinverse
• On continuity of the Moore-Penrose and Drazin generalized inverses
• On the perturbation of the group inverse and oblique projection
• The perturbation theory for the Drazin inverse and its applications
• The Drazin inverse of updating of a square matrix with application to perturbation formula
• On the Continuity of the Generalized Inverse

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