Index splitting for the Drazin inverse of linear operator in Banach space.

DOI10.1016/S0096-3003(01)00287-9zbMath1044.47002OpenAlexW1968409458MaRDI QIDQ1855977

Zhu Chao, Guo-Liang Chen

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00287-9

zbMATH Keywords

Drazin inverselinear operatorgroup inversesingular operator equationindex splitting method

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Numerical solutions to equations with linear operators (65J10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (3)

The computation of Drazin inverse and its application in Markov chains ⋮ A characterization of Drazin monotonicity of operators over ordered Banach space ⋮ Proper splitting for the generalized inverse \(A^{(2)}_{T, S}\) and its application on Banach spaces

Cites Work

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• Inner, outer, and generalized inverses in banach and hilbert spaces
• Consistency and Splittings
• A unified approach to generalized inverses of linear operators: I. Algebraic, topological and projectional properties
• Monotonicity and Iterative Approximations Involving Rectangular Matrices

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