Local Convergence and the Dynamics of a Family of High Convergence Order Method for Solving Nonlinear Equations

被引：0
|
作者：
Magrenan, A. A. [1 ]
Argyros, I. K. [2 ]
Sarria, I. [1 ]
Sicilia, J. A. [1 ]
机构：
[1] Univ Int La Rioja, Escuela Super Ingn & Tecnol, Ave La Paz 137, Logrono 26006, Spain
[2] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA
来源：
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017) | 2018年 / 1978卷
关键词：
D O I：
10.1063/1.5043940
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present the local convergence analysis and the study of the dynamics of a higher order iterative method in order to approximate a locally unique solution of multiplicity greater than one of a nonlinear equation. The convergence is obtained by means of using a center-Holder condition in which the ball of convergence is greater than in previous studies. Moreover, the dynamics of the method are also presented. Numerical examples validating the theoretical results are also provided.
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页数：4
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