Iterative regularization methods for a discrete inverse problem in MRI

Abstract

We propose and investigate efficient numerical methods for inverse problems related to Magnetic Resonance Imaging (MRI). Our goal is to extend the recent convergence results for the Landweber-Kaczmarz method obtained in [Haltmeier, Leitao, Scherzer 2007], in order to derive a convergent iterative regularization method for an inverse problem in MRI.

11 pages

References in corpus (2)

• Regularization of systems of nonlinear ill-posed equations: I. Convergence Analysis
• A Mann iterative regularization method for elliptic Cauchy problems