A-smooth regularization for ill-posed equations with perturbed operators and noisy data

DOI10.1007/s11741-003-0048-1zbMath1046.65040OpenAlexW2043065721WikidataQ126246084 ScholiaQ126246084MaRDI QIDQ4456431

Guo-qiang He, Ning Zhang

Publication date: 16 March 2004

Published in: Journal of Shanghai University (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11741-003-0048-1

zbMATH Keywords

regularizationill-posed operator equationHilbert spacesMorozov's discrepancy principle

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Related Items (1)

Simplified iterative Tikhonov regularization and posteriori parameter choice rules

Cites Work

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• An a posteriori parameter choice for Tikhonov regularization in the presence of modeling error
• On the choice of the regularization parameter for iterated Tikhonov regularization of ill-posed problems
• The iterated regularization with perturbed operators and noisy data

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