41 citations · 324 across the 37 of their papers we have counts for
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math.NA2020★ 4 cited
Nonlinear Tikhonov regularization in Hilbert scales with oversmoothing penalty: inspecting balancing principles
Bernd Hofmann, Christopher Hofmann, Peter Mathé +1
The analysis of Tikhonov regularization for nonlinear ill-posed equations with smoothness promoting penalties is an important topic in inverse problem theory. With focus on Hilbert…
math.FA2020★ 7 cited
Oversmoothing Tikhonov regularization in Banach spaces
De-Han Chen, Bernd Hofmann, Irwin Yousept
This paper develops a Tikhonov regularization theory for nonlinear ill-posed operator equations in Banach spaces. As the main challenge, we consider the so-called oversmoothing sta…
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…