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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
Accelerated two-step modulus-based matrix splitting iteration method to solve the nonlinear complementarity problem
【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.
【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.
【关键词】 两步迭代法;
矩阵分裂;
非线性互补;
【Key words】 two-step iteration method; matrix splitting; nonlinear complementarity;
【Key words】 two-step iteration method; matrix splitting; nonlinear complementarity;
【基金】 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)
- 【文献出处】 上海大学学报(自然科学版) ,Journal of Shanghai University(Natural Science Edition) , 编辑部邮箱 ,2022年06期
- 【分类号】O241.6
- 【下载频次】13