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Research Article | Open Access

A note on the preconditioned tensor splitting iterative method for solving strong M -tensor systems

Qingbing Liu, Aimin Xu, Shuhua Yin, Zhe Tu( )
Department of Mathematics, Zhejiang Wanli University, Ningbo 315100, China
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Abstract

In this note, we present a new preconditioner for solving the multi-linear systems, which arise from many practical problems and are different from the traditional linear systems. Based on the analysis of the spectral radius, we give new comparison results between some preconditioned tensor splitting iterative methods. Numerical examples are given to demonstrate the efficiency of the proposed preconditioned method.

Keywords

multi-linear systemsTensor splittingpreconditioned methodspectral radiuscomparison theorem
CLC number: 15A69, 65F10

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 7177-7186
DOI: 10.3934/math.2022400

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Cite this article:
Liu Q, Xu A, Yin S, et al. A note on the preconditioned tensor splitting iterative method for solving strong M -tensor systems. AIMS Mathematics, 2022, 7(4): 7177-7186. https://doi.org/10.3934/math.2022400

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Received: 19 October 2021
Revised: 26 January 2022
Accepted: 06 February 2022
Published: 15 April 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)