arXiv Analytics

Sign in

arXiv:2405.08269 [math.NA]AbstractReferencesReviewsResources

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

Qinian Jin

Published 2024-05-14Version 1

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.

Categories: math.NA, cs.NA, math.OC
Related articles: Most relevant | Search more
arXiv:2308.10130 [math.NA] (Published 2023-08-20)
On the Approximation of Operator-Valued Riccati Equations in Hilbert Spaces
arXiv:2003.07913 [math.NA] (Published 2020-03-17)
Regularization of linear and nonlinear ill-posed problems by mollification
arXiv:2012.11216 [math.NA] (Published 2020-12-21)
Nonlinear Tikhonov regularization in Hilbert scales with oversmoothing penalty: inspecting balancing principles

Links

Toolbox