PRECONDITIONED AOR ITERATIVE METHODS FOR SOLVING MULTI-LINEAR SYSTEMS WITH 𝓜-TENSOR
PRECONDITIONED AOR ITERATIVE METHODS FOR SOLVING MULTI-LINEAR SYSTEMS WITH 𝓜-TENSOR
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DOI：
10.14317/jami.2021.587
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发表时间：
2021
影响因子：
0.3
通讯作者：
Meng Qi;Xinhui Shao
中科院分区：
文献类型：
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作者：
Meng Qi;Xinhui Shao
工程和科学中的一些问题可以等价地转化为求解多线性方程组。本文提出了两种预条件AOR迭代法，用于求解带-张量的多线性方程组。在此基础上，给出了预条件子的一般条件。给出了这两种方法的收敛性定理和比较定理。数值算例表明，本文方法是有效的. AMS数学学科分类：65 H 05，65 F10。
Some problems in engineering and science can be equivalently transformed into solving multi-linear systems. In this paper, we propose two preconditioned AOR iteration methods to solve multi-linear systems with -tensor. Based on these methods, the general conditions of preconditioners are given. We give the convergence theorem and comparison theorem of the two methods. The results of numerical examples show that methods we propose are more effective. AMS Mathematics Subject Classification : 65H05, 65F10.