Iterative refinement method by higher-order singular value decomposition for solving multi-linear systems

被引：2
|
作者：
Cui, Lu-Bin [1 ]
Hu, Wen-Li [1 ]
Yuan, Jin-Yun [2 ,3 ]
机构：
[1] Henan Normal Univ, Sch Math & Informat Sci, Henan Engn Lab Big Data Stat Anal & Optimal Contro, Xinxiang 453007, Peoples R China
[2] Dongguan Univ Technol, Sch Comp Sci & Technol, Dongguan 523808, Peoples R China
[3] Univ Fed Parana, Ctr Politecn, Dept Matemat, BR-81531980 Curitiba, Brazil
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 146卷
关键词：
Iterative refinement method; Higher-order singular value; decomposition; Multi-linear systems; LU decomposition;
D O I：
10.1016/j.aml.2023.108819
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the higher-order singular value decomposition and the LU decomposition are applied to solve the general multi-linear systems, rather than special structure like M-tensor. Here, we transform the general tensor system into a form with a special structure. In addition, an iterative refinement method is constructed by the information of the coefficient tensor itself, the higher-order singular value, instead of the spectra of iterative tensor. Finally, the numerical experimental results are given to demonstrate the efficiency of the iterative refinement method. & COPY; 2023 Elsevier Ltd. All rights reserved.
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页数：6
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