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


Authors

Ya-Jun Xie - College of Mathematics and Informatics, Fujian Key Laboratory of Mathematical Analysis and Applications, Fujian Normal University, Fuzhou 350117, P. R. China. - Department of Mathematics and Physics, Fujian Jiangxia University, Fuzhou 350108, P. R. China. Na Huang - College of Mathematics and Informatics, Fujian Key Laboratory of Mathematical Analysis and Applications, Fujian Normal University, Fuzhou 350117, P. R. China. - Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China. Chang-Feng Ma - College of Mathematics and Informatics, Fujian Key Laboratory of Mathematical Analysis and Applications, Fujian Normal University, Fuzhou 350117, P. R. China.


Abstract

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.


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ISRP Style

Ya-Jun Xie, Na Huang, Chang-Feng Ma, An accelerated Newton method of high-order convergence for solving a class of weakly nonlinear complementarity problems, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 4822--4833

AMA Style

Xie Ya-Jun, Huang Na, Ma Chang-Feng, An accelerated Newton method of high-order convergence for solving a class of weakly nonlinear complementarity problems. J. Nonlinear Sci. Appl. (2017); 10(9):4822--4833

Chicago/Turabian Style

Xie, Ya-Jun, Huang, Na, Ma, Chang-Feng. "An accelerated Newton method of high-order convergence for solving a class of weakly nonlinear complementarity problems." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 4822--4833


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