On a general regularization scheme for nonlinear ill-posed problems: II. Regularization in Hilbert scales

DOI10.1088/0266-5611/14/6/016zbMath0924.65049OpenAlexW2045400545MaRDI QIDQ4225515

Ulrich Tautenhahn

Publication date: 9 March 1999

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/14/6/016

zbMATH Keywords

Hilbert spacesfixed point equationTikhonov regularizationnonlinear ill-posed problemsLandweber iterationHilbert scales

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (14)

Parameter choices for sparse regularization with the ℓ1 norm ^* ⋮ Fractional Tikhonov regularization method in Hilbert scales ⋮ Simplified generalized Gauss-Newton method for nonlinear ill-posed operator equations in Hilbert scales ⋮ On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales ⋮ Projection method for fractional Lavrentiev regularisation method in Hilbert scales ⋮ Inexact Newton regularization methods in Hilbert scales ⋮ A two step Newton type iteration for ill-posed Hammerstein type operator equations in Hilbert scales ⋮ Case Studies and a Pitfall for Nonlinear Variational Regularization Under Conditional Stability ⋮ Regularization in model updating ⋮ On the stable estimation of flow geometry and wall shear stress from magnetic resonance images ⋮ On Lavrentiev Regularization for Ill-Posed Problems in Hilbert Scales ⋮ Convergence analysis of (statistical) inverse problems under conditional stability estimates ⋮ Derivative free regularization method for nonlinear ill-posed equations in Hilbert scales ⋮ Discrepancy curves for multi-parameter regularization

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