Semilocal Convergence Theorem for a Newton-like Method-Reference-Cited by-同舟云学术

Semilocal Convergence Theorem for a Newton-like Method

Published:2017-08 Issue:3 Volume:7 Page:482-494
ISSN:2079-7362
Container-title:East Asian Journal on Applied Mathematics
language:en
Short-container-title:East Asian J. Appl. Math.

Author:

Lin Rong-Fei,Wu Qing-Biao,Chen Min-Hong,Liu Lu,Dai Ping-Fei

Abstract

AbstractThe semilocal convergence of a third-order Newton-like method for solving nonlinear equations is considered. Under a weak condition (the so-called γ-condition) on the derivative of the nonlinear operator, we establish a new semilocal convergence theorem for the Newton-like method and also provide an error estimate. Some numerical examples show the applicability and efficiency of our result, in comparison to other semilocal convergence theorems.

Publisher

Global Science Press

Subject

Applied Mathematics

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