Choosing the relaxation parameter in sequential block-iterative methods for linear systems

Authors: TOURAJ NIKAZAD, SHSGHAYEGH HEIDARZADE

Abstract: In this paper we introduce two strategies for picking relaxation parameters to control the semiconvergence behavior of a sequential block-iterative method. A convergence analysis is presented. We also demonstrate the performance of our strategies by examples taken from tomographic imaging.

Keywords: Sequential block-iterative methods, Cimmino and CAV iteration, semiconvergence, relaxation parameters, tomographic imaging

Full Text: PDF