English

On saturation of the discrepancy principle for nonlinear Tikhonov regularization in Hilbert spaces

Numerical Analysis 2024-05-15 v1 Numerical Analysis Optimization and Control

Abstract

In this paper we revisit the discrepancy principle for Tikhonov regularization of nonlinear ill-posed problems in Hilbert spaces and provide some new and improved saturation results under less restrictive conditions, comparing with the existing results in the literature.

Keywords

Cite

@article{arxiv.2405.08269,
  title  = {On saturation of the discrepancy principle for nonlinear Tikhonov regularization in Hilbert spaces},
  author = {Qinian Jin},
  journal= {arXiv preprint arXiv:2405.08269},
  year   = {2024}
}