Multi-parameter Tikhonov regularization -- an augmented approach

DOI10.1007/s11401-014-0835-yzbMath1309.65065arXiv1306.5984OpenAlexW2062342781WikidataQ57442722 ScholiaQ57442722MaRDI QIDQ741463

Tomoya Takeuchi, Kazufumi Ito, Bangti Jin

Publication date: 12 September 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5984

zbMATH Keywords

inverse problemHilbert spaceerror estimateBanach spaceconvergence ratenumerical experimentill-posed problemsource conditionBregman distancea posteriori parameter choicebalancing principlemultiparameter regularizationaugmented Tikhonov regularizationbalanced 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) Numerical solution to inverse problems in abstract spaces (65J22)

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