69 citations · 98 across the 3 of their papers we have counts for
3 papers
math.FA2010★ 9 cited
Beyond convergence rates: Exact recovery with Tikhonov regularization with sparsity constraints
Dirk A. Lorenz, Stefan Schiffler, Dennis Trede
The Tikhonov regularization of linear ill-posed problems with an penalty is considered. We recall results for linear convergence rates and results on exact recovery of the…
math.NA2009★ 69 cited
Greedy Solution of Ill-Posed Problems: Error Bounds and Exact Inversion
Loic Denis, Dirk A. Lorenz, Dennis Trede
The orthogonal matching pursuit (OMP) is an algorithm to solve sparse approximation problems. Sufficient conditions for exact recovery are known with and without noise. In this pap…
math.FA2008★ 20 cited
Optimal Convergence Rates for Tikhonov Regularization in Besov Scales
Dirk Lorenz, Dennis Trede
In this paper we deal with linear inverse problems and convergence rates for Tikhonov regularization. We consider regularization in a scale of Banach spaces, namely the scale of Be…