180 citations · 275 across the 19 of their papers we have counts for
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math.NA2012★ 2 cited
An Application of Source Inequalities for Convergence Rates of Tikhonov Regularization with a Non-differentiable Operator
Markus Grasmair
In this paper we study Tikhonov regularization for the stable solution of an ill-posed non-linear operator equation. The operator we consider, which is related to an active contour…
math.ST2012★ 8 cited
Nonparametric instrumental regression with non-convex constraints
Markus Grasmair, Otmar Scherzer, Anne Vanhems
This paper considers the nonparametric regression model with an additive error that is dependent on the explanatory variables. As is common in empirical studies in epidemiology and…
math.NA2012★ 17 cited
Regularization of Linear Ill-posed Problems by the Augmented Lagrangian Method and Variational Inequalities
Klaus Frick, Markus Grasmair
We study the application of the Augmented Lagrangian Method to the solution of linear ill-posed problems. Previously, linear convergence rates with respect to the Bregman distance…