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基于单参函数求解二阶锥互补问题的光滑牛顿法

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结合单参函数,在CHKS函数的框架下定义一种新的二阶锥互补函数,其包含CHKS的两个正则化形式,是一类具有良好性质且应用更加广泛的互补函数.基于该函数提出了一种求解二阶锥互补问题的有效算法,给出了算法的适定性分析以及全局收敛性证明,并进行了数值验证.
A Newton Method for Second-Order Cone Complementarity Problem Based on Single Parameter Function
Combining Single Parameter Function,a new second-order cone complementary function is given in the framework of CHKS function.This new class includes two regularized forms of CHKS and is a class of complementarity functions with good properties and wider applicability.Based on this function,an efficient algorithm for solving second-order cone complementarity problem is designed by using this function.The well-posedness and global convergence of the algorithm are proved,and numerical experiments are given.

second-order cone complementarity problemsCHKS functionglobal convergence

葛康康、陈亚飞、赵琪、王敏

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淮北理工学院,安徽淮北 235000

陕西理工大学,陕西汉中 723000

二阶锥互补问题 CHKS函数 全局收敛性

2024

长春师范大学学报
长春师范学院

长春师范大学学报

CHSSCD
影响因子:0.312
ISSN:1008-178X
年,卷(期):2024.43(10)