Convergence rate estimates for an iteratively regularized gradient method with an a-posteriori stopping rule
Abstract
We study an iteratively regularized gradient method with an a-posteriori stopping rule for solving nonlinear irregular operator equations in Hilbert spaces. An accuracy estimate in terms of the error level of input data for this method is established. We assume that the desired solution satisfies a sourcewise condition, and we use no structural conditions on the operator of the problem.
Fields of Study & Subjects
Numerical methods in inverse problems
Optimization and Variational Analysis
Iterative Methods for Nonlinear Equations
Publication details
- Journal / source
- Russian Mathematics
- Issue
- 2
- Pages
- 38–48
- Publication date
- 10 March 2026
- Language
- EN