41 citations · 67 across the 9 of their papers we have counts for
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The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator
Bernd Hofmann, Peter Mathé
We consider compact composite linear operators in Hilbert space, where the composition is given by some compact operator followed by some non-compact one possessing a non-closed ra…
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…
A priori parameter choice in Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems
Bernd Hofmann, Peter Mathé
We study Tikhonov regularization for certain classes of non-linear ill-posed operator equations in Hilbert space. Emphasis is on the case where the solution smoothness fails to hav…
Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems in Hilbert scales
Bernd Hofmann, Peter Mathé
We study the Tikhonov regularization for ill-posed non-linear operator equations in Hilbert scales. Our focus is on the interplay between the smoothness-promoting properties of the…