13 citations · 14 across the 3 of their papers we have counts for
3 papers
math.NA2020★ 1 cited
Two new non-negativity preserving iterative regularization methods for ill-posed inverse problems
Ye Zhang, Bernd Hofmann
Many inverse problems are concerned with the estimation of non-negative parameter functions. In this paper, in order to obtain non-negative stable approximate solutions to ill-pose…
math.NA2019
Convergence results and low order rates for nonlinear Tikhonov regularization with oversmoothing penalty term
Bernd Hofmann, Robert Plato
For the Tikhonov regularization of ill-posed nonlinear operator equations, convergence is studied in a Hilbert scale setting. We include the case of oversmoothing penalty terms, wh…
math.FA2015★ 13 cited
On -regularization in light of Nashed's ill-posedness concept
Jens Flemming, Bernd Hofmann, Ivan Veselic
Based on the powerful tool of variational inequalities, in recent papers convergence rates results on -regularization for ill-posed inverse problems have been formulated in…