求解二阶锥绝对值方程组的惯性two-sweep迭代法  

Inertial Two-sweep Iteration for Absolute Value Equations Associated with Second Order Cones

作　　者：洪晓曼 唐嘉 HONG Xiaoman;TANG Jia(School of Mathematics and Statistics,Fujian Normal University,Fuzhou,Fujian 350071)

机构地区：[1]福建师范大学数学与统计学院,福建福州350007

出　　处：《武夷学院学报》2023年第9期1-6,共6页Journal of Wuyi University

基　　金：国家自然科学基金青年(11901024);福建省自然科学基金面上资助项目(2020J01166,2021J01661)。

摘　　要：提出一种求解二阶锥绝对值方程组(SOCAVE)的惯性two-sweep迭代法。通过引入一个惯性项和一个恒等式,在系统矩阵和迭代矩阵满足一定条件的情况下,分析该算法的收敛性,数值结果表明所提出的方法是可行且有效的。An inertial two-sweep iteration method for solving absolute value equations associated with second order cones(SOCAVE)is presented.By introducing an inertia term and an identity,the convergence of the proposed algorithm is analyzed when the system matrix and the iterative matrix meet certain conditions.The numerical results show that the proposed method is feasible and effective.

关 键 词：two-sweep迭代法 二阶锥 绝对值方程 惯性项 

分 类 号：O224[理学—运筹学与控制论]