A simplified generalized Gauss-Newton method for nonlinear ill-posed problems
From MaRDI portal
Publication:3055089
DOI10.1090/S0025-5718-08-02149-2zbMath1198.65101OpenAlexW2041285707MaRDI QIDQ3055089
Pallavi Mahale, M. Thamban Nair
Publication date: 7 November 2010
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02149-2
Inverse problems for PDEs (35R30) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)
Related Items (27)
On an efficient \(k\)-step iterative method for nonlinear equations ⋮ On a class of frozen regularized Gauss-Newton methods for nonlinear inverse problems ⋮ Error estimates for the simplified iteratively regularized Gauss-Newton method in Banach spaces under a Morozov-type stopping rule ⋮ A simplified iteratively regularized projection method for nonlinear ill-posed problems ⋮ On the local convergence study for an efficient \(k\)-step iterative method ⋮ Newton-type iteration for Tikhonov regularization of nonlinear ill-posed problems ⋮ Simplified generalized Gauss-Newton method for nonlinear ill-posed operator equations in Hilbert scales ⋮ Simplified Levenberg–Marquardt method in Banach spaces for nonlinear ill-posed operator equations ⋮ A Study of an Iteratively-Regularized Simplified Landweber Iteration for Nonlinear Inverse Problems in Hilbert Spaces ⋮ An efficient discretization scheme for solving nonlinear ill-posed problems ⋮ Simplified Levenberg-Marquardt method in Hilbert spaces ⋮ Cubic convergence order yielding iterative regularization methods for ill-posed Hammerstein type operator equations ⋮ Error estimates for the simplified iteratively regularized Gauss-Newton method under a general source condition ⋮ The minimal-norm Gauss-Newton method and some of its regularized variants ⋮ Two-step Newton-Tikhonov method for Hammerstein-type equations: finite-dimensional realization ⋮ Expanding the applicability of a two step Newton-type projection method for ill-posed problems ⋮ Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications ⋮ 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 ⋮ A generalization of continuous regularized Gauss–Newton method for ill-posed problems ⋮ Complexity analysis of the iteratively regularized Gauss–Newton method with inner CG-iteration ⋮ Simplified Generalized Gauss-Newton Iterative Method under Morozove Type Stopping Rule ⋮ Convergence analysis of simplified iteratively regularized Gauss–Newton method in a Banach space setting ⋮ Newton type iteration for Tikhonov regularization of non-linear ill-posed Hammerstein type equations ⋮ Expanding the applicability of a modified Gauss-Newton method for solving nonlinear ill-posed problems ⋮ A simplified Gauss-Newton iterative scheme with an a posteriori parameter choice rule for solving nonlinear ill-posed problems ⋮ Analysis of a generalized regularized Gauss–Newton method under heuristic rule in Banach spaces
Cites Work
- A posteriori parameter choice strategies for some Newton type methods for the regularization of nonlinear ill-posed problems
- The problem of the convergence of the iteratively regularized Gauss- Newton method
- On convergence rates for the iteratively regularized Gauss-newton method
- Logarithmic convergence rates of the iteratively regularized Gauss - Newton method for an inverse potential and an inverse scattering problem
- Geometry of linear ill-posed problems in variable Hilbert scales
- Regularization of exponentially ill-posed problems
- Convergence analysis of an inexact iteratively regularized Gauss-Newton method under general source conditions
This page was built for publication: A simplified generalized Gauss-Newton method for nonlinear ill-posed problems
