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求解二阶锥绝对值方程的一种松弛的非线性PHSS类迭代方法
The relaxed nonlinear PHSS-like iteration method for absolute value equation associated with second-order cone
【摘要】 本文主要针对二阶锥绝对值方程问题的求解,提出了一种松弛的非线性PHSS类迭代方法,并给出该方法在一定条件下的收敛性结论.同时,通过数值试验进一步验证了该方法的可行性、鲁棒性和高效性.
【Abstract】 In this paper,we focus our attention on the absolute value equation associated with second-order cone(SOCAVE),and propose a relaxed nonlinear PHSS-like iteration method for solving the SOCAVE. We prove theconvergence of the proposed method under suitable conditions. Numerical experiments are given to demonstrate the feasibility,robustness and effectiveness of the proposed method.
【关键词】 二阶锥;
绝对值方程;
半光滑;
松弛的非线性PHSS类迭代;
【Key words】 second-order cone; absolute value equations; semismooth; relaxed nonlinear PHSS-like iteration;
【Key words】 second-order cone; absolute value equations; semismooth; relaxed nonlinear PHSS-like iteration;
【基金】 国家自然科学基金(11471241)
- 【文献出处】 天津理工大学学报 ,Journal of Tianjin University of Technology , 编辑部邮箱 ,2019年01期
- 【分类号】O241.6
- 【下载频次】79