An accelerated Newton method of high-order convergence for solving a class of weakly nonlinear complementarity problems

The Journal of Nonlinear Sciences and its Applications

NaHuang¹  Chang-FengMa²  Ya-JunXie² 

[1] Academy of Mathematics and Systems Science, Chinese Academy of Sciences,Beijing 100190, P. R. China;College of Mathematics and Informatics, Fujian Key Laboratory of Mathematical Analysis and Applications, Fujian Normal University, Fuzhou 350117, P. R. China

关键词: Weakly nonlinear complementarity problems;    high-order convergence;    the modulus-based nonlinear function;    convergence analysis;    numerical experience.;   

DOI  :  10.22436/jnsa.010.09.24

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

In this paper, by extending the classical Newton method, we investigate an accelerated Newton iteration method (ANIM) with high-order convergence for solving a class of weakly nonlinear complementarity problems which arise from the discretization of free boundary problems. Theoretically, the performance of high-order convergence is analyzed in details. Some numerical experiments demonstrate the efficiency of the presented method.

【 授权许可】

Unknown