Items for "Regularization in normed spaces"

Optimal regularization for ill-posed problems in metric spaces

We present a strategy for choosing the regularization parameter (Lepskij-type balancing principle) for ill-posed problems in metric spaces with deterministic or stochastic noise. Additionally we improve the strategy in comparison to the previously used version for Hilbert spaces in some ways.

Keywords: Regularization in normed spaces, Lepskij-type balancing principle, -spaces