A new choice rule for regularization parameters in Tikhonov regularization

DOI10.1080/00036811.2010.541450zbMath1228.65082OpenAlexW2081510982WikidataQ57437666 ScholiaQ57437666MaRDI QIDQ3094244

Kazufumi Ito, Bangti Jin, Jun Zou

Publication date: 21 October 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.541450

zbMATH Keywords

iterative algorithmnumerical experimentsTikhonov regularizationa posteriori error estimatemonotone convergenceparameter choicelinear inverse problemsill-posed benchmark inverse problems

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)

Related Items

A reconstruction algorithm for electrical impedance tomography based on sparsity regularization, Hierarchical Bayesian inference for ill-posed problems via variational method, Error Estimates for Doubly-Generalized Tikhonov-Phillips Regularization, A Bayesian interpretation of the L-curve, A new choice rule for regularization parameters in Tikhonov regularization, Least squares formulation for ill-posed inverse problems and applications

Uses Software

• Regularization tools

Cites Work

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