A new approach to source conditions in regularization with general residual term

Details A new approach to source conditions in regularization with general residual term A new approach to source conditions in regularization with general residual term

2009-06-18

arxiv.org/abs/0906.3438v1

Mathematics

Numerical Analysis

22 pages, submitted to "Numerical Functional Analysis and Optimization"

Scientific paper

This paper addresses Tikhonov like regularization methods with convex penalty functionals for solving nonlinear ill-posed operator equations formulated in Banach or, more general, topological spaces. We present an approach for proving convergence rates which combines advantages of approximate source conditions and variational inequalities. Precisely, our technique provides both a wide range of convergence rates and the capability to handle general and not necessarily convex residual terms as well as nonsmooth operators. Initially formulated for topological spaces, the approach is extensively discussed for Banach and Hilbert space situations, showing that it generalizes some well-known convergence rates results.

Affiliated with

Also associated with

No associations

Rating

A new approach to source conditions in regularization with general residual term does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A new approach to source conditions in regularization with general residual term, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new approach to source conditions in regularization with general residual term will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-725780