B. Hofmann

activity

20092023

most citedTikhonov regularization with oversmoothing penalty for non-linear ill-posed problems in Hilbert scales

41 citations · 324 across the 37 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.NA2016★ 5 cited

Conditional stability versus ill-posedness for operator equations with monotone operators in Hilbert space

Radu Ioan Bot, Bernd Hofmann

In the literature on singular perturbation (Lavrentiev regularization) for the stable approximate solution of operator equations with monotone operators in the Hilbert space the ph…

math.FA2016★ 16 cited

Elastic-net regularization versus $ℓ^{1}$ -regularization for linear inverse problems with quasi-sparse solutions

De-Han Chen, Bernd Hofmann, Jun Zou

We consider the ill-posed operator equation $A x = y$ with an injective and bounded linear operator $A$ mapping between $ℓ^{2}$ and a Hilbert space $Y$ , possessing the unique solutio…

Conditional stability versus ill-posedness for operator equations with monotone operators in Hilbert space

Elastic-net regularization versus ℓ1-regularization for linear inverse problems with quasi-sparse solutions

Elastic-net regularization versus $ℓ^{1}$ -regularization for linear inverse problems with quasi-sparse solutions