Novel accelerated methods of tensor splitting iteration for solving multi-systems

Novel accelerated methods of tensor splitting iteration for solving multi-systems

Tensor splitting iteration method is a class of popular technique for solving multi-linear systems. In this paper, we present one kind of efficient alternating splitting iteration method, and further generalize accelerated overrelaxation method (AOR) and symmetric accelerated overrelaxation method (...

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Bibliographic Details
Main Authors: Yajun Xie, Minhua Yin, Changfeng Ma
Format: Article
Language:English
Published: AIMS Press 2020-03-01
Series:AIMS Mathematics
Subjects:
multi-systems
tensor alternating splitting iteration
accelerated overrelaxation method
symmetric accelerated overrelaxation
preconditioned technique
Online Access:https://www.aimspress.com/article/10.3934/math.2020180/fulltext.html
Description
Summary:Tensor splitting iteration method is a class of popular technique for solving multi-linear systems. In this paper, we present one kind of efficient alternating splitting iteration method, and further generalize accelerated overrelaxation method (AOR) and symmetric accelerated overrelaxation method (SAOR) from linear systems to multi-systems. Then, one type of preconditioned (alternating) tensor splitting method is also applied for solving multi-systems. Numerical experiments illustrate the efficiency of the provided methods.
ISSN:2473-6988

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