Two new Newton-type methods for the nonlinear equations

Volume 11, Issue 2, pp 252--262 http://dx.doi.org/10.22436/jnsa.011.02.07
Publication Date: February 05, 2018 Submission Date: January 05, 2017 Revision Date: December 15, 2017 Accteptance Date: December 18, 2017

Authors

Ya-Jun Xie - College of Mathematics and Informatics, Fujian Key Laborotary of Mathematical Analysis and Applications, Fujian Normal Universit, 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 Laborotary of Mathematical Analysis and Applications, Fujian Normal University, Fuzhou, 350117, P. R. China. Chang-Feng Ma - College of Mathematics and Informatics, Fujian Key Laborotary of Mathematical Analysis and Applications, Fujian Normal University, Fuzhou, 350117, P. R. China.


Abstract

In this paper, based on the classical Newton method and Halley method, we propose two new Newton methods for solving the systems of nonlinear equations. The convergence performances of the two new variants of Newton iteration method are analyzed in details. Some numerical experiments are also presented to demonstrate the feasibility and efficiency of the proposed methods.


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ISRP Style

Ya-Jun Xie, Na Huang, Chang-Feng Ma, Two new Newton-type methods for the nonlinear equations, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 2, 252--262

AMA Style

Xie Ya-Jun, Huang Na, Ma Chang-Feng, Two new Newton-type methods for the nonlinear equations. J. Nonlinear Sci. Appl. (2018); 11(2):252--262

Chicago/Turabian Style

Xie, Ya-Jun, Huang, Na, Ma, Chang-Feng. "Two new Newton-type methods for the nonlinear equations." Journal of Nonlinear Sciences and Applications, 11, no. 2 (2018): 252--262


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