Convergence analysis of iteratively regularized Gauss-Newton method with frozen derivative in Banach spaces
From MaRDI portal
Publication:2101117
DOI10.1515/jiip-2021-0065OpenAlexW4287509738WikidataQ114052949 ScholiaQ114052949MaRDI QIDQ2101117
Gaurav Mittal, Ankik Kumar Giri
Publication date: 28 November 2022
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip-2021-0065
regularizationstability constraintsiterative regularization methodsnonlinear ill-posed operator equations
Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)
Related Items
Cites Work
- Regularization methods in Banach spaces.
- A global uniqueness theorem for an inverse boundary value problem
- Iterative regularization methods for nonlinear ill-posed problems
- Variational methods in imaging
- On the discrepancy principle for some Newton type methods for solving nonlinear inverse problems
- Unified convergence analysis of frozen Newton-like methods under generalized conditions
- Simplified iteratively regularized Gauss-Newton method in Banach spaces under a general source condition
- A study of frozen iteratively regularized Gauss-Newton algorithm for nonlinear ill-posed problems under generalized normal solvability condition
- Convergence rates for iteratively regularized Gauss-Newton method subject to stability constraints
- On the iteratively regularized Gauss-Newton method in Banach spaces with applications to parameter identification problems
- An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints
- Lipschitz stability for the inverse conductivity problem
- On variational regularization: finite dimension and Hölder stability
- Iteratively regularized Landweber iteration method: convergence analysis via Hölder stability
- Lipschitz Stability of an Inverse Boundary Value Problem for a Schrödinger-Type Equation
- Local analysis of inverse problems: Hölder stability and iterative reconstruction
- On a class of frozen regularized Gauss-Newton methods for nonlinear inverse problems
- The seismic reflection inverse problem
- Uniqueness and Lipschitz stability in electrical impedance tomography with finitely many electrodes
- Convergence analysis of simplified iteratively regularized Gauss–Newton method in a Banach space setting
- Inverse Medium Scattering Problems for Electromagnetic Waves
- Verification of a variational source condition for acoustic inverse medium scattering problems
- Unnamed Item