Dirk A. Lorenz

activity

20102023

most citedTestable uniqueness conditions for empirical assessment of undersampling levels in total variation-regularized x-ray CT

63 citations · 67 across the 5 of their papers we have counts for

collaborators

Showing 2016 · math.OCShow all

2 papers · 2 filters

math.OC2016

A Primal-Dual Homotopy Algorithm for $ℓ_{1}$ -Minimization with $ℓ_{\infty}$ -Constraints

Christoph Brauer, Dirk A. Lorenz, Andreas M. Tillmann

In this paper we propose a primal-dual homotopy method for $ℓ_{1}$ -minimization problems with infinity norm constraints in the context of sparse reconstruction. The natural homoto…

math.OC2016★ 4 cited

Linear convergence of the Randomized Sparse Kaczmarz Method

Frank Schöpfer, Dirk A. Lorenz

The randomized version of the Kaczmarz method for the solution of linear systems is known to converge linearly in expectation. In this work we extend this result and show that the…

A Primal-Dual Homotopy Algorithm for ℓ1​-Minimization with ℓ∞​-Constraints

Linear convergence of the Randomized Sparse Kaczmarz Method

A Primal-Dual Homotopy Algorithm for $ℓ_{1}$ -Minimization with $ℓ_{\infty}$ -Constraints