Research Article
Non-stationary Parallel Multisplitting Two-Stage Iterative Methods with Self-AdaptiveWeighting Schemes
@ARTICLE{10.4108/sis.1.2.e5, author={GuoYan Meng and Chuan Long Wang and Xi Hong Yan and Qing Shan Zhao}, title={Non-stationary Parallel Multisplitting Two-Stage Iterative Methods with Self-AdaptiveWeighting Schemes}, journal={EAI Endorsed Transactions on Scalable Information Systems}, volume={1}, number={2}, publisher={ICST}, journal_a={SIS}, year={2014}, month={3}, keywords={Self-adaptive weighting matrices, non-stationary, multisplitting, two-stage, linear systems}, doi={10.4108/sis.1.2.e5} }- GuoYan Meng
Chuan Long Wang
Xi Hong Yan
Qing Shan Zhao
Year: 2014
Non-stationary Parallel Multisplitting Two-Stage Iterative Methods with Self-AdaptiveWeighting Schemes
SIS
ICST
DOI: 10.4108/sis.1.2.e5
Abstract
In this paper, we study the non-stationary parallel multisplitting two-stage iterative methods with selfadaptive weighting matrices for solving a linear system whose coefficient matrix is symmetric positive definite. Two choices of Self-adaptive weighting matrices are given, especially, the nonnegativity is eliminated. Moreover, we prove the convergence of the non-stationary parallel multisplitting two-stage iterative methods with self-adaptive weighting matrices. Finally, the numerical comparisons of several self-adaptive nonstationary parallel multisplitting two-stage iterative methods are shown.
Copyright © 2014 G.Y. Meng et al., licensed to ICST. This is an open access article distributed under the terms of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/), which permits unlimited use, distribution and reproduction in any medium so long as the original work is properly cited.
