丁戬, 殷俊锋

同济大学 数学科学学院, 上海 200092

收稿日期:2020-01-09发布日期:2021-02-04


基金资助:本研究受到国家自然科学基金（项目号：11971354）资助.

THE RELAXATION TWO-SWEEP MODULUS-BASED MATRIX SPLITTING ITERATION METHODS FOR A CLASS OF NONLINEAR COMPLEMENTARITY PROBLEMS

Ding Jian, Yin Junfeng

School of Mathematical Sciences, Tongji University, Shanghai 200092, China

Received:2020-01-09Published:2021-02-04







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本文构造了求解一类非线性互补问题的松弛two-sweep模系矩阵分裂迭代法. 理论分析建立了新方法在系数矩阵为正定矩阵或H₊矩阵时的收敛性质．数值实验结果表明新方法是行之有效的, 并且在最优参数下松弛two-sweep模系矩阵分裂迭代法在迭代步数和时间上均优于传统的模系矩阵分裂迭代法和two-sweep模系矩阵分裂迭代法.
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