A convergence rates result for an iteratively regularized Gauss–Newton–Halley method in Banach space

DOI10.1088/0266-5611/31/1/015007zbMath1314.65079arXiv1409.5655OpenAlexW2036938244MaRDI QIDQ5173315

Barbara Kaltenbacher

Publication date: 9 February 2015

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

Full work available at URL: https://arxiv.org/abs/1409.5655

zbMATH Keywords

convergence ratesregularizationparameter identificationBanach spacenumerical experimentGauss-Newton methodnonlinear ill-posed operator equationiteratively regularized Halley method

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (7)

A regularizing multilevel approach for nonlinear inverse problems ⋮ Levenberg-Marquardt method in Banach spaces with general convex regularization terms ⋮ Application of the second domain derivative in inverse electromagnetic scattering ⋮ An iteratively regularized Gauss-Newton-Halley method for solving nonlinear ill-posed problems ⋮ Levenberg-Marquardt method with general convex penalty for nonlinear inverse problems ⋮ The two-point gradient methods for nonlinear inverse problems based on Bregman projections ⋮ Regularization of inverse problems by two-point gradient methods in Banach spaces

This page was built for publication: A convergence rates result for an iteratively regularized Gauss–Newton–Halley method in Banach space