Representation for the \(W\)-weighted Drazin inverse of linear operators

DOI10.1007/s12190-009-0323-9zbMath1198.47005OpenAlexW1992166572MaRDI QIDQ711525

Jin Zhong, Xiaoji Liu, Yaoming Yu

Publication date: 26 October 2010

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

Full work available at URL: https://doi.org/10.1007/s12190-009-0323-9

zbMATH Keywords

approximationrepresentationBanach spacebounded linear operator\(W\)-weighted Drazin inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (4)

Weighted outer inverse ⋮ Representations and properties of theW-Weighted Drazin inverse ⋮ On the perturbation of weighted group inverse of rectangular matrices ⋮ Minimum property of condition numbers for the Drazin inverse and singular linear equations

Cites Work

• The weighted Drazin inverse of perturbed matrices with related support idempotents
• Determinantal representation of weighted generalized inverses
• A Drazin inverse for rectangular matrices
• Perturbation analysis for the operator equation \(Tx=b\) in Banach spaces
• The representation and approximation of the Drazin inverse of a linear operator in Hilbert space.
• The representation and approximation of the \(W\)-weighted Drazin inverse of linear operators in Hilbert space.
• Continuity and general perturbation of the Drazin inverse for closed linear operators
• A weighted Drazin inverse and applications
• Generalized inverses: theory and computations
• A characterization for the \(W\)-weighted Drazin inverse and a Cramer rule for the \(W\)-weighted Drazin inverse solution
• Pseudo-Inverses in Associative Rings and Semigroups
• The weighted g-Drazin inverse for operators
• Error Bounds for Perturbation of the Drazin Inverse of Closed Operators with Equal Spectral Projections
• The representation and approximation for Drazin inverse
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