Tommy Elfving and Touraj Nikazad 2009 Inverse Problems 25 115011 doi:10.1088/0266-5611/25/11/115011
Tommy Elfving1 and Touraj Nikazad2
Show affiliationsWe 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.
02.60.Dc Numerical linear algebra
Issue 11 (November 2009)
Received 28 June 2009, in final form 15 September 2009
Published 29 October 2009
Tommy Elfving and Touraj Nikazad 2009 Inverse Problems 25 115011
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