Bernd Hofmann

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 13

Top Topics

Tikhonov Regularization

Infinite Dimensional

Top Venues

J. Optim. Theory Appl.

J. Comput. Appl. Math.

Comput. Methods Appl. Math.

Publications

Peter Mathé, Bernd Hofmann
Tractability of linear ill-posed problems in Hilbert space. CoRR (2024)
Peter Mathé, Bernd Hofmann
Tractability of linear ill-posed problems in Hilbert space. J. Complex. 84 (2024)
Bernd Hofmann, Chantal Klinkhammer, Robert Plato
New results for variational regularization with oversmoothing penalty term in Banach spaces. CoRR (2023)
Bernd Hofmann, Hans-Jürgen Fischer, Robert Plato
A note on the degree of ill-posedness for mixed differentiation on the d-dimensional unit cube. CoRR (2023)
Daniel Gerth, Bernd Hofmann
Open questions asked to analysis and numerics concerning the Hausdorff moment problem. CoRR (2022)
Robert Plato, Bernd Hofmann
Variational regularization with oversmoothing penalty term in Banach spaces. CoRR (2022)
Daniel Gerth, Bernd Hofmann, Christopher Hofmann, Stefan Kindermann
The Hausdorff Moment Problem in the light of ill-posedness of type I. CoRR (2021)
Bernd Hofmann, Peter Mathé
The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator. CoRR (2021)
Bernd Hofmann, Christopher Hofmann, Peter Mathé, Robert Plato
Nonlinear Tikhonov regularization in Hilbert scales with oversmoothing penalty: inspecting balancing principles. CoRR (2020)
Bernd Hofmann, Robert Plato
Convergence results and low order rates for nonlinear Tikhonov regularization with oversmoothing penalty term. CoRR (2019)
Robert Plato, Bernd Hofmann
A Regularized Variational Inequality Approach for Nonlinear Monotone Ill-Posed Equations. J. Optim. Theory Appl. 182 (2) (2019)
Robert Plato, Peter Mathé, Bernd Hofmann
Optimal rates for Lavrentiev regularization with adjoint source conditions. Math. Comput. 87 (310) (2018)
Jens Flemming, Bernd Hofmann, Ivan Veselic
On ℓ1-Regularization in Light of Nashed's Ill-Posedness Concept. Comput. Methods Appl. Math. 15 (3) (2015)
Jin Cheng, Bernd Hofmann, Shuai Lu
The index function and Tikhonov regularization for ill-posed problems. J. Comput. Appl. Math. 265 (2014)
Peter Mathé, Bernd Hofmann
Direct and inverse results in variable Hilbert scales. J. Approx. Theory 154 (2) (2008)
Bernd Hofmann, Peter Mathé
Analysis of Profile Functions for General Linear Regularization Methods. SIAM J. Numer. Anal. 45 (3) (2007)