A Modified Newton Method Based on the Metric Projector for Solving SOCCVI Problem  

作　　者：Hao Liu Juhe Sun Li Wang Hao Liu;Juhe Sun;Li Wang(School of Science, Shenyang Aerospace University, Shenyang, China)

机构地区：[1]School of Science, Shenyang Aerospace University, Shenyang, China

出　　处：《Journal of Applied Mathematics and Physics》2022年第4期1036-1054,共19页应用数学与应用物理（英文）

摘　　要：In this paper, based on the second-order sufficient condition, the Clarke's generalized Jacobian of the Karush-Kuhn-Tucker system of the second-order cone constrained variational inequality (SOCCVI) problem that is nonsingular is proved by us. A modified Newton method with Armijo line search is presented. Three illustrative examples are given to show how the modified Newton method works.In this paper, based on the second-order sufficient condition, the Clarke's generalized Jacobian of the Karush-Kuhn-Tucker system of the second-order cone constrained variational inequality (SOCCVI) problem that is nonsingular is proved by us. A modified Newton method with Armijo line search is presented. Three illustrative examples are given to show how the modified Newton method works.

关 键 词：Second-Order Cone Variational Inequality Metric Projector Second-Order Sufficient Condition 

分 类 号：O17[理学—数学]