Year: 1999
Author: Zhong-Zhi Bai
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 449–456
Abstract
For the large sparse systems of linear and nonlinear equations, a new class of generalized asynchronous parallel multisplitting iterative method is presented, and its convergence theory is established under suitable conditions. This method not only unifies the discussions of various existing asynchronous multisplitting iterations, but also affords new algorithmic and theoretical results for the parallel solution of large sparse system of linear equations. Besides its generality, this method is also much more suitable for implementing on the MIMD multiprocessor systems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1999-JCM-9116
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 5 : pp. 449–456
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Systems of linear and nonlinear equations Asynchronous multisplitting iteration Relaxed method Convergence theory.