Add to ORKGWe study compact operator equations with noisy data in Hilbert space. Instead of assuming that the error in the data converges strongly to zero, we only assume a type of weak convergence. Under the source conditions that are usually assumed in the presence of convex constraints, we derive optimal convergence rates for convexly constrained Phillips-Tikhonov regularization. We also discuss a version of the Lepskii method for selecting the regularization parameter. © 2009 IOP Publishing Ltd
A class of regularization methods using unbounded regularizing operators is considered for obtaining...
There exists a vast literature on convergence rates results for Tikhonov regularized minimizers. We ...
There are various ways to regularize ill-posed operator equations in Hilbert space. If the underlyin...
We study compact operator equations with noisy data in Hilbert space. Instead of assuming that the e...
We study compact operator equations with noisy data in Hilbert space. Instead of assuming that the e...
We study moment discretization for compact operator equations in Hilbert space with discrete noisy d...
The standard view of noise in ill-posed problems is that it is either deterministic and small (stron...
AbstractWe consider Tikhonov regularization of linear ill-posed problems with noisy data. The choice...
The paper is devoted to the analysis of ill-posed operator equations Ax = y with injective linear op...
For Tikhonov regularization of ill-posed nonlinear operator equations, convergence is studied in a H...
Abstract In the recent past the authors, with collaborators, have published convergence rate results...
In this paper we analyze two regularization methods for nonlinear ill-posed problems. The first is a...
Tikhonov-type regularization of linear and nonlinear ill-posed problems in abstract spaces under spa...
AbstractIn this paper we derive conditions under which the constrained Tikhonov-regularized solution...
Abstract- We consider the compact operator A: X − → Y for the separable Hilbert spaces X and Y. The ...
A class of regularization methods using unbounded regularizing operators is considered for obtaining...
There exists a vast literature on convergence rates results for Tikhonov regularized minimizers. We ...
There are various ways to regularize ill-posed operator equations in Hilbert space. If the underlyin...
We study compact operator equations with noisy data in Hilbert space. Instead of assuming that the e...
We study compact operator equations with noisy data in Hilbert space. Instead of assuming that the e...
We study moment discretization for compact operator equations in Hilbert space with discrete noisy d...
The standard view of noise in ill-posed problems is that it is either deterministic and small (stron...
AbstractWe consider Tikhonov regularization of linear ill-posed problems with noisy data. The choice...
The paper is devoted to the analysis of ill-posed operator equations Ax = y with injective linear op...
For Tikhonov regularization of ill-posed nonlinear operator equations, convergence is studied in a H...
Abstract In the recent past the authors, with collaborators, have published convergence rate results...
In this paper we analyze two regularization methods for nonlinear ill-posed problems. The first is a...
Tikhonov-type regularization of linear and nonlinear ill-posed problems in abstract spaces under spa...
AbstractIn this paper we derive conditions under which the constrained Tikhonov-regularized solution...
Abstract- We consider the compact operator A: X − → Y for the separable Hilbert spaces X and Y. The ...
A class of regularization methods using unbounded regularizing operators is considered for obtaining...
There exists a vast literature on convergence rates results for Tikhonov regularized minimizers. We ...
There are various ways to regularize ill-posed operator equations in Hilbert space. If the underlyin...