2 papers
math.NA2026
Regularization of the metric generalized inverse in Banach spaces and the dichotomy phenomenon
Peter Mathé, Bernd Hofmann
For a bounded linear operator acting between Banach spaces, its metric generalized inverse is the analog to the prominent Moore-Penrose inverse for operators acting between Hilbert…
math.NA2025
Sparse variational regularization with oversmoothing penalty term in the scale of sequence spaces
Robert Plato, Bernd Hofmann
In this work, we consider a class of linear ill-posed problems with operators that map from the sequence space () into a Banach space and in addition satisfy a…