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解线性互补问题的预处理加速模Gauss-Seidel迭代方法

本站小编 Free考研考试/2021-12-27

戴平凡1, 李继成2, 白建超3
1. 三明学院信息工程学院, 三明 365004;
2. 西安交通大学数学与统计学院, 西安 710049;
3. 西北工业大学应用数学系, 西安 710129
收稿日期:2017-12-16出版日期:2019-09-15发布日期:2019-08-21


基金资助:国家自然科学基金(11671318);福建省自然科学基金(2016J01028);福建省教育厅科技项目(JA15469)资助.


A PRECONDITIONED ACCELERATED MODULUS-BASED GAUSS-SEIDEL ITERATION METHOD FOR SOLVING LINEAR COMPLEMENTARITY PROBLEM

Dai Pingfan1, Li Jicheng2, Bai Jianchao3
1. School of Information Engineering, Sanming University, Sanming 365004, China;
2. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, China;
3. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, 710129, China
Received:2017-12-16Online:2019-09-15Published:2019-08-21







摘要



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本文提出了解线性互补问题的预处理加速模系Gauss-Seidel迭代方法,当线性互补问题的系统矩阵是M-矩阵时证明了方法的收敛性,并给出了该预处理方法关于原方法的一个比较定理.数值实验显示该预处理迭代方法明显加速了原方法的收敛.
MR(2010)主题分类:
65F10

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