Properties of a class of block-iterative methods
2009 (English)In: INVERSE PROBLEMS, ISSN 0266-5611, Vol. 25, no 11Article in journal (Refereed) Published
We study a class of block-iterative (BI) methods proposed in image reconstruction for solving linear systems. A subclass, symmetric block-iteration (SBI), is derived such that for this subclass both semi-convergence analysis and stopping-rules developed for fully simultaneous iteration apply. Also results on asymptotic convergence are given, e. g., BI exhibit cyclic convergence irrespective of the consistency of the linear system. Further it is shown that the limit points of SBI satisfy a weighted least-squares problem. We also present numerical results obtained using a trained stopping rule on SBI.
Place, publisher, year, edition, pages
2009. Vol. 25, no 11
IdentifiersURN: urn:nbn:se:liu:diva-51891DOI: 10.1088/0266-5611/25/11/115011OAI: oai:DiVA.org:liu-51891DiVA: diva2:278065