| 松弛模系矩阵分裂迭代法求解一类非线性互补问题 |
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| 引用本文： | 王艳,殷俊锋,李蕊.松弛模系矩阵分裂迭代法求解一类非线性互补问题[J].同济大学学报(自然科学版),2019,47(2):0291-0297. |
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| 作者姓名： | 王艳 殷俊锋 李蕊 |
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| 作者单位： | 同济大学 数学科学学院， 上海 200092,同济大学 数学科学学院， 上海 200092,同济大学 数学科学学院， 上海 200092；嘉兴学院 数理与信息工程学院， 浙江 嘉兴 314001 |
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| 基金项目： | 中央高校基本科研业务费专项资金；国家自然科学基金（11701221） |
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| 摘 要： | 考虑松弛模系矩阵分裂迭代法求解一类非线性互补问题,理论分析给出了当系数矩阵为H_+-矩阵时迭代法的收敛性和松弛参数的选取方法.数值实验表明,松弛模系矩阵分裂迭代法在迭代步数和迭代时间上均优于模系矩阵分裂迭代法.
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| 关 键 词： | 矩阵分裂 松弛模系迭代法 非线性互补问题 |
| 收稿时间： | 2018/4/7 0:00:00 |
| 修稿时间： | 2018/12/4 0:00:00 |
A Relaxation Modulus-based Matrix Splitting Iteration Method for a Class of Nonlinear Complementarity Problems |
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| WANG Yan,YIN Junfeng and LI Rui.A Relaxation Modulus-based Matrix Splitting Iteration Method for a Class of Nonlinear Complementarity Problems[J].Journal of Tongji University(Natural Science),2019,47(2):0291-0297. |
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| Authors: | WANG Yan YIN Junfeng and LI Rui |
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| Institution: | School of Mathematical Sciences, Tongji University, Shanghai 200092, China,School of Mathematical Sciences, Tongji University, Shanghai 200092, China and School of Mathematical Sciences, Tongji University, Shanghai 200092, China; College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing 314001, China |
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| Abstract: | A relaxation modulus-based matrix splitting iteration method is proposed for solving a class of nonlinear complementarity problems. The convergence theory is established when the system matrix is H+and the choice of relaxation parameters is given. Numerical examples show that the proposed methods are efficient and can accelerate the convergence performance of the modulus-based matrix splitting method with less iteration steps and CPU time. |
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| Keywords: | matrix splitting relaxation modulus-based iteration methods nonlinear complementarity problems |
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