460 citations · 1.2k across the 40 of their papers we have counts for
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math.OC2009
Error estimates for joint Tikhonov- and Lavrentiev-regularization of constrained control problems
Dirk A. Lorenz, Arnd Rösch
We consider joint Tikhonov- and Lavrentiev-regularization of control problems with pointwise control- and state-constraints. We derive error estimates for the error which is introd…
math.NA2009★ 58 cited
Elastic-Net Regularization: Error estimates and Active Set Methods
Bangti Jin, Dirk Lorenz, Stefan Schiffler
This paper investigates theoretical properties and efficient numerical algorithms for the so-called elastic-net regularization originating from statistics, which enforces simultane…
math.NA2009
A projection proximal-point algorithm for l^1-minimization
Dirk A. Lorenz
The problem of the minimization of least squares functionals with penalties is considered in an infinite dimensional Hilbert space setting. While there are several algorit…