13 citations · 18 across the 3 of their papers we have counts for
3 papers
math.NA2019
The Ivanov regularized Gauss-Newton method in Banach space with an a posteriori choice of the regularization radius
Barbara Kaltenbacher, Andrej Klassen, Mario Luiz Previatti de Souza
In this paper we consider the iteratively regularized Gauss-Newton method, where regularization is achieved by Ivanov regularization, i.e., by imposing a priori constraints on the…
math.OC2018★ 5 cited
Quasi-solution of linear inverse problems in non-reflexive Banach spaces
Christian Clason, Andrej Klassen
We consider the method of quasi-solutions (also referred to as Ivanov regularization) for the regularization of linear ill-posed problems in non-reflexive Banach spaces. Using the…
math.NA2018★ 13 cited
On convergence and convergence rates for Ivanov and Morozov regularization and application to some parameter identification problems in elliptic PDEs
Barbara Kaltenbacher, Andrej Klassen
In this paper we provide a convergence analysis of some variational methods alternative to the classical Tikhonov regularization, namely Ivanov regularization (also called method o…