34 citations · 62 across the 12 of their papers we have counts for
14 papers
Open questions asked to analysis and numerics concerning the Hausdorff moment problem
Daniel Gerth, Bernd Hofmann
We address facts and open questions concerning the degree of ill-posedness of the composite Hausdorff moment problem aimed at the recovery of a function from eleme…
A note on numerical singular values of compositions with non-compact operators
Daniel Gerth
Linear non-compact operators are difficult to study because they do not exist in the finite dimensional world. Recently, Mathé and Hofmann studied the singular values of the compac…
The Hausdorff Moment Problem in the light of ill-posedness of type I
Daniel Gerth, Bernd Hofmann, Christopher Hofmann +1
The Hausdorf moment problem (HMP) over the unit interval in an -setting is a classical example of an ill-posed inverse problem. Since various applications can be rewritten in…
A new interpretation of (Tikhonov) regularization
Daniel Gerth
Tikhonov regularization with square-norm penalty for linear forward operators has been studied extensively in the literature. However, the results on convergence theory are based o…
Estimating solution smoothness and data noise with Tikhonov regularization
Daniel Gerth, Ronny Ramlau
A main drawback of classical Tikhonov regularization is that often the parameters required to apply theoretical results, e.g., the smoothness of the sought-after solution and the n…
Regularization for the inversion of Fibre Bragg Grating spectra
Daniel Gerth, Susann Hannusch, Oliver Ernst +1
Fibre Bragg Gratings have become widespread measurement devices in engineering and other fields of application. In all but a few cases, the relation between cause and effect is sim…