A new preconditioned SOR method for solving multi-linear systems with an M-tensor

被引：0
|
作者：
Liu, Dongdong [1 ]
Li, Wen [2 ]
Vong, Seak-Weng [3 ]
机构：
[1] Guangdong Univ Technol, Sch Appl Math, Guangzhou, Peoples R China
[2] South China Normal Univ, Sch Math Sci, Guangzhou, Peoples R China
[3] Univ Macau, Dept Math, Macau, Peoples R China
来源：
CALCOLO | 2020年 / 57卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Multi-linear system; SOR method; Preconditioned method; Tensor splitting algorithm; Stong M-tensor; QUADRATICALLY CONVERGENT ALGORITHM;
D O I：
10.1007/s10092-020-00364-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a new preconditioned SOR method for solving the multi-linear systems whose coefficient tensor is an M-tensor. The corresponding comparison for spectral radii of iterative tensors is given. Numerical examples demonstrate the efficiency of the proposed preconditioned methods.
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页数：18
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