| 求解M-张量方程的两种新型算法 |
| |
| 引用本文： | 邵新慧,祁猛. 求解M-张量方程的两种新型算法[J]. 计算数学, 2022, 44(2): 206-216. DOI: 10.12286/jssx.j2020-0756 |
| |
| 作者姓名： | 邵新慧 祁猛 |
| |
| 作者单位： | 东北大学理学院, 沈阳 110819 |
| |
| 基金项目： | 中央高校基本业务费资助 |
| |
| 摘 要： | 多重线性系统在当今的工程计算和数据挖掘等领域有很多实际应用,许多问题可以转化为多重线性系统求解问题.在本文中,我们首先提出了一种新的迭代算法来求解系数张量为M-张量的多重线性系统,在此基础上又提出了一种新的改进算法,并对两种算法的收敛性进行了分析.数值算例的结果表明,本文提出的两种算法是有效的并且改进算法的迭代时间更少.
|
| 关 键 词： | M-张量 多重线性系统 迭代方法 新算法 收敛 |
| 收稿时间： | 2020-11-26 |
TWO NEW ALGORITHMS FOR SOLVING MULTI-LINEAR SYSTEMS WITH M-TENSOR |
| |
| Shao Xinhui,Qi Meng. TWO NEW ALGORITHMS FOR SOLVING MULTI-LINEAR SYSTEMS WITH M-TENSOR[J]. Mathematica Numerica Sinica, 2022, 44(2): 206-216. DOI: 10.12286/jssx.j2020-0756 |
| |
| Authors: | Shao Xinhui Qi Meng |
| |
| Affiliation: | College of Science, Northeastern University, Shenyang 110819, China |
| |
| Abstract: | In engineering and science fields, some problems can be transformed into multi-linear system problems. We propose a new iteration algorithm to solve multi-linear systems with M-tensor. But this algorithm requires solving polynomial functions. For this reason, we give a simplified algorithm to improve. Then we give the convergence analysis of two algorithms. The results of numerical examples show that algorithms we propose are more effective. |
| |
| Keywords: | M-tensor multi-linear systems iteration method new algorithms convergence |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《计算数学》浏览原始摘要信息 |
|
点击此处可从《计算数学》下载全文 |
|
