A Regularization Smoothing Newton Method for the Symmetric Cone Complementarity Problem with the Cartesian P_(0)-property  

作　　者：Xiang-jing LIU San-yang LIU 

机构地区：[1]School of Sciences,Xi’an Technological University,Xi’an 710021,China [2]School of Mathematics and Statistics,Xidian University,Xi’an 710126,China

出　　处：《Acta Mathematicae Applicatae Sinica》2025年第2期556-572,共17页应用数学学报(英文版)

基　　金：supported by the National Natural Science Foundation of China(No.12271419).

摘　　要：In this paper,we consider the symmetric cone linear complementarity problem with the Cartesian P0-property and present a regularization smoothing method with a nonmonotone line search to solve this problem.It has been demonstrated that the proposed method exhibits global convergence under the condition that the solution set of the complementarity problem is nonempty.This condition is less stringent than those that have appeared in some existing literature.We also show that the method has locally quadratic convergence under appropriate conditions.Some experimental results are reported to illustrate the efficiency of the proposed method.

关 键 词：Euclidean Jordan algebra symmetric cone Cartesian P0-property smoothing method 

分 类 号：O224[理学—运筹学与控制论]