Stopping Rules for Landweber-type Iteration
2007 (English)In: Inverse Problems, ISSN 0266-5611 (print) 1361-6420 (online), Vol. 23, no 4, 1417-1432 p.Article in journal (Refereed) Published
We describe a class of stopping rules for Landweber-type iterations for solving linear inverse problems. The class includes both the discrepancy principle (DP rule) and the monotone error rule (ME rule). We also unify the error analysis of the two methods. The stopping rules depend critically on a certain parameter whose value needs to be specified. A training procedure is therefore introduced for securing robustness. The advantages of using a trained rule are demonstrated on examples taken from image reconstruction from projections. After training the stopping rules became quite robust and only small differences were observed between, e.g. the DP rule and ME rule.
Place, publisher, year, edition, pages
2007. Vol. 23, no 4, 1417-1432 p.
IdentifiersURN: urn:nbn:se:liu:diva-13236DOI: 10.1088/0266-5611/23/4/004OAI: oai:DiVA.org:liu-13236DiVA: diva2:18094