Perturbation analysis for the operator equation \(Tx=b\) in Banach spaces

DOI10.1006/jmaa.1997.5482zbMath0903.47004OpenAlexW2054418615MaRDI QIDQ1364832

Yifeng Xue, Guo-Liang Chen

Publication date: 7 January 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5482

zbMATH Keywords

generalized inverseperturbation analysisoperator equation

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Equations and inequalities involving linear operators, with vector unknowns (47A50) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

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Cites Work

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• Some remarks on matrix norms, condition numbers, and error estimates for linear equations
• Uniform convergence of regularization methods for linear ill-posed problems
• On the perturbation of the least squares solutions in Hilbert spaces
• Perturbation analysis of the least squares solution in Hilbert spaces

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