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Parallel Newton Two-Stage Multisplitting Iterative Methods for Nonlinear Systems
Authors:Josep Arnal  Violeta Migallón  José Penadés
Abstract:Parallel Newton two-stage iterative methods to solve nonlinear systems are studied. These algorithms are based on both the multisplitting technique and the two-stage iterative methods. Convergence properties of these methods are studied when the Jacobian matrix is either monotone or an H-matrix. Furthermore, in order to illustrate the performance of the algorithms studied, computational results about these methods on a distributed memory multiprocessor are discussed.This revised version was published online in October 2005 with corrections to the Cover Date.
Keywords:parallel and distributed algorithms  nonlinear systems  numerical methods  multisplitting methods  two-stage methods  distributed memory
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