| 求解非线性互补问题的一类加速的两步模基矩阵分裂迭代法 |
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| 引用本文： | 程冰,王广彬,谭福平.求解非线性互补问题的一类加速的两步模基矩阵分裂迭代法[J].上海大学学报(自然科学版),2022,28(6):1106-1112. |
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| 作者姓名： | 程冰 王广彬 谭福平 |
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| 作者单位： | 1.青岛农业大学 理学与信息科学学院, 山东 青岛 2661092.上海大学 理学院, 上海 200444 |
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| 基金项目： | 国家自然科学基金资助项目(12171307);山东高校科技计划资助项目(J16LI04);青岛农业大学高层次人才资助项目(1120068) |
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| 摘 要： | 建立了求解非线性互补问题的一类加速的两步模基矩阵分裂迭代法. 当系数矩阵是具有正对角元的,H-矩阵时, 证明了此方法是收敛的. 数值实验表明, 该方法是行之有效的.
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| 关 键 词： | 两步迭代法 矩阵分裂 非线性互补 |
| 收稿时间： | 2021-04-08 |
Accelerated two-step modulus-based matrix splitting iteration method to solve the nonlinear complementarity problem |
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| CHENG Bing,WANG Guangbin,TAN Fuping.Accelerated two-step modulus-based matrix splitting iteration method to solve the nonlinear complementarity problem[J].Journal of Shanghai University(Natural Science),2022,28(6):1106-1112. |
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| Authors: | CHENG Bing WANG Guangbin TAN Fuping |
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| Institution: | 1. School of Science and Information, Qingdao Agricultural University, Qingdao 266109, Shandong, China2. College of Sciences, Shanghai University, Shanghai 200444, China |
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| Abstract: | In this paper, we construct an accelerated two-step modulus-based matrix splitting iteration method based on multiple splittings of the system matrix for the nonlinear complementarity problem. And we prove its convergence when the system matrix is an H-matrix with positive diagonal elements. Numerical experiments show that the proposed method is efficient. |
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| Keywords: | two-step iteration method matrix splitting nonlinear complementarity |
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